Step-by-step explanation:
\(5x + 3x - 4 = 10 + 8x \\ 8x - 4 = 10 + 8x \\ 8x - 8x = 10 + 4 \\ = 14\)
Since x has been eliminated (8x-8x = 0), there are no solutions in this equation.
How much is 200000 in yen in US dollars?
The currency used in Japan is called the yen, and the currency used in the United States is called the dollar. When you want to know how much a certain amount of yen is worth in dollars, you need to know the exchange rate between the two currencies.
As of my knowledge cutoff, the exchange rate between the yen and the dollar can fluctuate. But to give you a rough idea, as of 2021, the exchange rate was around 1 dollar equals to 108 yen. To convert 200,000 yen to dollars, you would divide 200,000 by 108. So 200,000 yen is roughly equal to about 1,851 dollars.
It's important to keep in mind that exchange rates can change over time, so the amount in dollars may be different at different times. Additionally, the rates may vary depending on the method of exchange and the institution you are using to exchange the currencies.
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How do i solve this?
9514 1404 393
Answer:
see the attachment
Step-by-step explanation:
The cost when no sugar is transported is 3250, so that is the "y-intercept". (There is no "y". The vertical axis is labeled "c", so that is the c-intercept.)
The cost per ton is 125, so that is the slope or "rate of change". Each increase of 1 unit in the value of "s" will result in an increase of 125 in the value of "c". The grid lines for "c" are 500 apart, so 1 vertical grid space will correspond to 500/125 = 4 horizontal grid spaces.
The graph starts at the left side halfway between 3000 and 3500. It goes up 1 grid square for each 4 grid squares to the right.
which metric unit we use to measure ink in a pen
What are you trying to say brother
albert bought a jacket for $34.35, a pillow for $11.75, and a glove for $16.25. albert paid $60 and the rest he borrowed from a friend. If albert got $7.65 in change from the cashier, how much did albert borrow from his friend to pay for all the items?
Answer:
$10
Step-by-step explanation:
add all prices subtract $60 then add 7.65
Let t 0
be a specific value of t. Use the table of critical values of t below to find t 0
-values such that following statements are true. a. P(t≥t 0
)=.025, where df=10 b. P(t≥t 0
)=.01, where df=18 c. P(t≤t 0
)=.005, where df=6 d. P(t≤t 0
)=.05, where df=14
a) The value of t0 is 1.7709.
b) The value of t0 is -2.8609.
c) The value of t0 is 2.2622.
d) The value of t0 is -3.4175.
To find the values of t0 for each statement, we can use the table of critical values of t. The table provides the critical values of t for different degrees of freedom (df) and desired levels of significance (alpha).
a) For the statement P(t - t0 < t < t0) = 0.095, where df = 13, we need to find the critical value of t for a two-tailed test with a significance level of alpha = 0.05. Looking at the table, the closest value to 0.095 is 0.100, which corresponds to a critical value of t0 = 1.7709.
b) For the statement P(t <= t0) = 0.01, where df = 19, we need to find the critical value of t for a one-tailed test with a significance level of alpha = 0.01. In the table, the closest value to 0.01 is 0.005, which corresponds to a critical value of t0 = -2.8609.
c) For the statement P(t <= -t0 or t >= t0) = 0.010, where df = 9, we need to find the critical value of t for a two-tailed test with a significance level of alpha = 0.005 (split equally between both tails). The closest value to 0.010 is 0.025, which corresponds to a critical value of t0 = 2.2622.
d) For the statement P(t <= -t0 or t >= t0) = 0.001, where df = 14, we need to find the critical value of t for a two-tailed test with a significance level of alpha = 0.001 (split equally between both tails). The closest value to 0.001 is 0.001, which corresponds to a critical value of t0 = -3.4175.
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Wendy has x pairs of shoes. Her friend Dylann has 6 fewer pairs of shoes. Which
expression can be used to determine how many pairs of shoes Dylann has?
Answer:
did u find the answers to all of that quiz if u did can u tell me the right answers
Step-by-step explanation:
Who know this?? I’ll give y’all lot points
The given sequence is geometric because common ratio is constant that is 5.
Given,
The sequence ; 4, 20, 100 .....
We have to find whether;
The sequence is arithmetic or geometricCommon ratio Common difference.Geometric Sequence;-
Every term in a geometric series is obtained by multiplying the term before it by the same number.
Here,
The common ratio will be:= 2nd term / 1st term
= 20/4
= 5
Next,
Using the 3rd and 2nd term gives:
= 100/20
= 5
Common difference will be:= 2nd term - 1st term
= 20 - 4
= 16
Using the 3rd and 2nd term gives:
= 100 - 20
= 80
Here,
The given sequence is geometric because common ratio is constant that is 5.
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one leg of a right triangle is 6 inches longer than the other leg, and the hypotenuse is 30 inches. find the lengths of the legs of the triangle.
one leg of a right triangle is 6 inches longer than the other leg, and the hypotenuse is 30 inches. Thus,
The lengths of the legs of the triangle are 18 inches,24 inches and 30 inches.
What is triangle?Three vertices make up a triangle, a three-sided polygon. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
Given that,
one leg of a right triangle is 6 inches longer than the other leg.
hypotenuse is 30 inches.
Let assume, the other leg be x
It is given that, one leg of a right triangle is 6 inches longer than the other leg. So, One leg = x + 6
Since it is a right angled triangle,
h² = p² + b²
Where, h = hypotenuse
p = perpendicular
B = Base
So, (30)² = (x+6)² + x²
or, x = -24, 18
As, the length of side cannot be negative so x becomes 18.
Thus, x + 6 = 18 + 6 = 24 inches
Hypotenuse = 30 inches
Hence, the lengths of the legs of the triangle are 18 inches, 24 inches and 30 inches.
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y−3/4=4 1/4
please help me with this i really am not liking fractions right now
Answer:
y=2 and 3/4
Step-by-step explanation:
Answer:
Step-by-step explanation:
y-3/4 =4 1/4
i will add the whole into the fraction and add also 3/4
y=3/4+15/4
y=18/4=4 2/4=4 1/2
Construct the graph of the direct proportion y=kx for each value of k k=3x
the answer is 3x²
Step-by-step explanation:
we know that k = 3x
when we look at the actual equasion we can se that y = kx, meaning we have to multiply x by 3x which would give us 3x²
Answer: the answer is 3x^2 three x to the power of 2
Whoever can answer this correctly gets Brainliest + 20 Points. Please tell/explain how you got your answer so I can be on the same page.
Answer:
The answer is -2
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=1-(-7)/(-1)-3
m=8/-4
m=-2
help with my geometry please
Answer:
x = 11
z = 86
Step-by-step explanation:
8x + 6 and 10x-16 are vertical angles
Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.
To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:
8x + 6 - 6 = 10x - 16 - 6
8x = 10x - 22
Now we can subtract 8x from both sides of the equation:
8x - 8x = 10x - 22 - 8x
0 = 2x - 22
To solve for x, we can add 22 to both sides of the equation:
0 + 22 = 2x - 22 + 22
22 = 2x
Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2
x = 11
Therefore, the solution to the equation is x = 11.
Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)
Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.
First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94
180 - 94 = z
z = 86
PLSSSSSSSSS HELPP WILL GIVE BRAINLIEST PLSSS
Answer:
Probably the median since it is 22
Step-by-step explanation:
Which expression is equivalent to 23−14x+12x−16?
The Answer is
7 - 2x
Step-by-step explanation:
23 -14x + 12x - 16
(23 - 16) + (-14x + 12x)
= 7 - 2x
hope this help a'lot
The expression equivalent to 23−14x+12x−16 is 7 - 2x
How to find equivalent expressions?Here we simply take our expression to simplify it.
We start with:
23−14x+12x−16
First, we combine all the terms having x and combine other constant values.
(23 - 16) + (-14x + 12x)
Now we solve the two parts of the above expression we will get,
7 + (- 2x)
Simplifying we get,
7 - 2x
Therefore the equivalent expression is 7 - 2x
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the product of -8 and a number at most 50
The product of (-8) and a number at most 50 will be
50 * (-8) = -400
What is Multiplication ?Mathematicians use multiplication to calculate the sum of two or more numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis.
Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The components in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the result is the number 54.
a mathematical operation that accepts two integers and outputs a result that is equal to the sum of a column that has one of the values repeated the same amount of times as the other number. Eight times three equals the total of eight times eight.
The product of (-8) and a number at most 50 will be
50 * (-8) = -400
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According to a 2017 survey by a reputable organization patients had to wait an average of 24 days to schedule a new appointment with a doctor. A random sample of 40 patients in 2018 was selected and the number of days they had to wait to schedule an appointment was recorded, with the accompanying results B Click the icon to viow the wait timo data Porform a hypothesis test using a-001 to determine if the average number of days appointments are booked in advance has
The average number of days appointments are booked in advance has increased since 2017.
What is the average?
This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.
a.
Null hypothesis: H0: μ ≤ 24 (the average wait time in 2018 is less than or equal to the average wait time in 2017)
Alternative hypothesis: H1: μ > 24 (the average wait time in 2018 is greater than the average wait time in 2017)
We will use a one-sample t-test with a significance level of α = 0.01 and degrees of freedom (df) = n-1 = 39.
The appropriate critical value is tα = t0.01,39 = 2.423.
To calculate the test statistic, we first need to find the sample mean and standard deviation:
x = (24+57+6+18+36+52+48+51+18+49+47+53+42+2+36+18+23+34+11+48+17+51+7+27+42+3+52+14+29+43+12+36+8+5+41+27+39+15+4+35)/40 = 31.6
s = √((∑(xi - x)²)/(n-1)) = 16.77
The test statistic is:
t = (x - μ) / (s / √(n)) = (31.6 - 24) / (16.77 / √(40)) = 2.44
Since the test statistic t = 2.44 is greater than the critical value tα = 2.423, we reject the null hypothesis.
b.
Using Excel, we can calculate the p-value for the test statistic t = 2.44 with the formula "=TDIST(2.44,39,1)", which gives a p-value of 0.010.
the precise p-value for this test is 0.010. Since the p-value is less than the significance level α = 0.01, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the average number of days appointments are booked in advance has increased since 2017.
Hence, the average number of days appointments are booked in advance has increased since 2017.
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The axis of symmetry of a parabola is at x = -2. If one x-intercept is (6, 0),
what is the other x-intercept?
Check the picture below.
Find the additive inverse of -1/8
Answer:
1/8
Step-by-step explanation:
(Dont mind me, just need to add more characters LOL)
23. Jeremy is two years older than Rachel. The sum of the ages of Jeremy and Rachel is less
How old could Jeremy be?
Let
Inequality:
The age of Jeremy could be less than 22 years
How to determine how old Jeremy could be?From the question, we have the following parameters that can be used in our computation:
Jeremy = Rachel - 2
Let Jeremy = x and Rachel = y
So, we have
y = y - 2
Their ages added together is less than 46
So, we have
x + y < 46
This gives
x + x + 2 < 46
So, we have
2x < 44
Divide
x < 22
Hence, Jeremy could be less than 22 years
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Question
Jeremy is two years older than Rachel. The sum of the ages of Jeremy and Rachel is less than 46
How old could Jeremy be?
A push cart vendor is selling sodas at the beach. Partway into the day he raises his price per bottle by one quarter. After the price increase, the total dollar amount collected for the day after selling n bottles at the new price is given by the following equation
T=12+1.75n
According to this equation how many bottles did the vendor sell today before raising the price
According to the given equation, the number of bottles that the vendor sold today before raising the price is; 8 bottles
How to solve Linear equation word problems?In equation for the total amount collected T = 12 + 1.75n, it means that every additional bottle sold at the new price brings in $1.75 dollars:
Therefore, the per-bottle price after the $0.25 price increase would be $1.75. The per-bottle price before the price increase would be;
$1.75 - $0.25 = $1.50
When n = 0, we have;
T = 12 + 1.75(0)
T = $12
Thus, before any bottle was sold the total price collected was $12 before any bottle was sold at the new price.
Thus, the number of bottles sold at that price = 12/1.5 = 8 bottles
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We revisit a probabilistic model for a fault diagnosis problem from an earlier homework. The class variable C represents the health of a disk drive: C = 0 means it is operating normally; and C = 1 means it is in failed state. When the drive is running it continuously monitors itself using temperature and shock sensor, and records two binary features, X and Y. X =lif the drive has been subject to shock (e.g;, dropped) , and X = 0 otherwise Y =1if the drive temperature has ever been above 70*C, and Y = 0 otherwise. The following table defines the joint probability mass function of these three random variables: pxyc(r,y, c) 0.1 0.2 0.2 0 0 0 0 0 0 0.05 0.25
The probability of the disk drive being in a normal state is 0.5, and the probability of the disk drive being in a failed state is 0.3.
The given table represents the joint probability mass function of the random variables, pxyc (r, y, c). r, y, and c denote the temperature, shock sensor, and health status of the disk drive. The values of r, y, and c are binary.The joint probability mass function of three random variables r, y, and c can be represented as follows:pxyc (r, y, c)= P(r, y, c)Here,P(r=0, y=0, c=0)= 0.1, P(r=0, y=1, c=0)= 0.2, P(r=1, y=0, c=0)= 0.2,P(r=0, y=0, c=1)= 0, P(r=0, y=1, c=1)= 0, P(r=1, y=0, c=1)= 0,P(r=0, y=0, c=0)= 0, P(r=0, y=1, c=0)= 0, P(r=1, y=1, c=0)= 0.05,P(r=0, y=0, c=1)= 0.25, P(r=0, y=1, c=1)= 0, P(r=1, y=0, c=1)= 0.From the given table, the probability of the disk drive being in a normal state, C=0, is P(C=0)=P(r=0, y=0, c=0)+P(r=0, y=1, c=0)+P(r=1, y=0, c=0)=0.1+0.2+0.2=0.5Hence, the probability of the disk drive being in a failed state, C=1, is:P(C=1)=P(r=0, y=0, c=1)+P(r=0, y=1, c=1)+P(r=1, y=0, c=1)+P(r=1, y=1, c=0)=0.25+0+0+0.05=0.3Therefore, the probability of the disk drive being in a normal state is 0.5, and the probability of the disk drive being in a failed state is 0.3.
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Parker went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 50 grams of sugar and each bottle of juice has 10 grams of sugar. Parker purchased a total of 14 bottles of juice and soda which collectively contain 300 grams of sugar. Graphically solve a system of equations in order to determine the number of bottles of soda purchased,x, and the number of bottles of juice purchased, y.
The number of bottles of soda purchased are 4 and the number of bottles of juice purchased are 10.
Given,Parker went to the grocery store and bought bottles of soda and bottles of juice.
Each bottle of soda has 50 grams of sugar and each bottle of juice has 10 grams of sugar.
Parker purchased a total of 14 bottles of juice and soda which collectively contain 300 grams of sugar.
we are asked to determine the number of bottles of soda purchased,x, and the number of bottles of juice purchased, y.
So, the total number of bottles:x+y=14
x=14-y ...eq(1)
As, Each bottle of soda has 50 grams of sugar and each bottle of juice has 10 grams of sugar.
50x+10y=300
Substituting the value of x from eq(1)
⇒ 50(14-y) + 10y = 300
⇒ 700 - 50y + 10y = 300
⇒ -40y = 300 - 700
⇒ -40y =-400
y = 400/40
y = 10
The number of juice bottles = 10.
Now, to get the number of bottle of soda by substituting the value of y in equation (1):
x = 14-y
x = 14 - 10
x = 4
The number of soda bottles = 4.
Therefore, the number of bottles of soda purchased are 4 and the number of bottles of juice purchased are 10.
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Ms. Bell's mathematics class consists of 11 sophomores, 7 juniors, and 13 seniors. How many different ways can Ms. Bell create a 3-member committee of juniors if each junior has an equal chance of being selected?
Answer:
35 ways
Step-by-step explanation:
Seven juniors to choose three from
7 C 3 = 7! / ( 4! 3!) = 35
the first four terms in the power series expansion of the function f(x) = e ^2x about x = 0 are
The first four terms in the power series expansion of f(x) = e^(2x) about x = 0 are 1, 2x, 2x^2, and (4/3)x^3
The first four terms in the power series expansion of the function f(x) = e^2x about x = 0 are:
f(x) = e^2x = 1 + 2x + 2x^2 + (4/3)x^3 + ...
This can be obtained by using the formula for the Taylor series expansion of e^x:
e^x = 1 + x + (x^2/2!) + (x^3/3!) + ...
and replacing x with 2x to get:
e^(2x) = 1 + 2x + (4x^2/2!) + (8x^3/3!) + ...
Simplifying the coefficients of the terms gives:
f(x) = e^(2x) = 1 + 2x + 2x^2 + (4/3)x^3 + ...
Therefore, the first four terms in the power series expansion of f(x) = e^(2x) about x = 0 are 1, 2x, 2x^2, and (4/3)x^3.
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statistical power is a measure of the ability to reject the null hypothesis when:
Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.
A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.
Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.
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Need the answer to this please
This means ShineRite Red #4532 could has as little as 74.5% or as much as 91.5% gloss.
How to obtain the bounds?The bounds of a confidence interval are given as the estimate plus/minus the margin of the error of the confidence interval.
The parameters for this problem are given as follows:
Estimate: 83%.Margin of Error: 8.5%.Hence the lower bound of the interval is given as follows:
83 - 8.5 = 74.5%.
Then the upper bound is given as follows:
83 + 8.5 = 91.5%.
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You are planning to grow a garden. The store offers seeds for 11 different kinds of vegetables. You decide to get 7 seed packets (one for each of 7 different kinds of vegetables) at this store. How many ways can you make this selection
There are 330 ways to select 7 seed packets out of 11.
How to count the number of ways to select 7 seed packets out of 11?To count the number of ways to select 7 seed packets out of 11, we can use the combination formula:
\(( \frac {k}n )= k!(n-k)!n!\)
where n is the number of items to choose from, and k is the number of items to choose. In this case, n=11 and k=7.
Plugging these values into the formula, we get:
\(( \frac{7}{11})= 7!(11-7)!11!\)
Simplifying the factorials, we get:
\(( \frac{7}{11})= \frac{7\times 6\times 5\times 4\times 3\times 2\times 1}{11\times 10\times 9\times 8\times 7\times 6\times 5}\)
Simplifying further, we get:
\(( \frac{7}{11} )= \frac{4\times 3\times 2\times 1}{11\times 10\times 9\times 8}\)
Simplifying again, we get:
\((\frac{11}7)=330\)
Therefore, there are 330 ways to select 7 seed packets out of 11.
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A garden designer designed a square decorative pool. the pool is surrounded by a walkway. on two opposite sides of the pool, the walkway is 8 feet. on the other two opposite sides, the walkway is 10 feet. the final design of the pool and walkway covers a total area of 1,440 square feet. the side length of the square pool is x.
The expression that represents the side length of the square pool is 2x² + 36x - 1120 = 0. The side length of the square pool is x = 16.31 feet.
Let's denote the side length of the square pool as x.
The walkway on two opposite sides of the pool is 8 feet, which means that the overall length of the pool and walkway on those sides is x + 8 + 8 = x + 16.
Similarly, x + 10 + 10 = x + 20.
The total area covered by the pool and walkway is given as 1,440 square feet.
Total Area = Pool Area + Walkway Area
The area of the square pool is x², and the area of the walkway is the difference between the total area and the pool area:
Walkway Area = Total Area - Pool Area
Substituting the values, we have:
1440 = x² + (x + 16)(x + 20)
1440 = x² + (x² + 36x + 320)
Combining like terms:
1440 = 2x² + 36x + 320
2x² + 36x + 320 - 1440 = 0
2x² + 36x - 1120 = 0
After solving, we get:
\(x=-9+\sqrt{641},\:x=-9-\sqrt{641}\)
Take positive value:
\(x=-9+\sqrt{641},\\x = -9+25.31\\x = 16.31\)
So, the side length of the square pool is 16.31 feet.
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Here is a rectangle with length 5 units and width 2 units.
1. What is the area of the rectangle?
2. Dilate rectangle ABCD from point A by a scale factor of 2. Calculate the area of the image.
3. Dilate rectangle ABCD from point A by a scale factor of 3. Calculate the area of the image.
This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.
Solving for the area and scale factor we have:
L= 5 units
W = 2 units
The area of the rectangle =L * WA = (5 x 2)
A = 10 square units.
If the rectangle is dilated from point A by a scale factor of 2, the area of the image:A= (Scale factor of L * W)* L * W
= (2 x 2 x 5 x 2)
A = 40 square units.
If the rectangle is dilated from point A by a scale factor of 3, the area of the image is:A= (Scale factor of L * W)* L * W
= (3 x 3 x 5 x 2)
A= 90 square units
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Follow the directions to solve the system of equations by elimination. 8x + 7y = 39 4x – 14y = –68 Multiply the first equation to enable the elimination of the y-term. Add the equations to eliminate the y-terms. Solve the new equation for the x-value. Substitute the x-value back into either original equation to find the y-value. Check the solution. The solution to the system of equations is (, ).
Answer:
1/2,5
Step-by-step explanation:
Answer:
1/2 5
Step-by-step explanation:
just got it right on edge