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\(\bold{The\ result\ should\ be\ the\ same\ thing\ as\ the\ equation... You\ don’t}\\\bold{have\ enough\ information\ to\ solve\ for\ it!}\)
\(\boxed{\bold{Answer: k\geq 0\boxed{\bold{It\ is\ a\ CLOSED\ circle\ SHADED\ to\ the\ RIGHT}}}}\huge\checkmark\)
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y= 2x+4
How many solutions does this linear system have?
x + 2y = -8
O one solution: (8,0)
O one solution: (0,8)
O no solution
O infinite number of solutions
The solution is, x = 0 , y = 4, solutions that this linear system of equation have.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
Solve the following system:
{y = 4 - 3 x | (equation 1)
x + 2 y = 8 | (equation 2)
Express the system in standard form:
{3 x + y = 4 | (equation 1)
x + 2 y = 8 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{3 x + y = 4 | (equation 1)
0 x+(5 y)/3 = 20/3 | (equation 2)
Multiply equation 2 by 3/5:
{3 x + y = 4 | (equation 1)
0 x+y = 4 | (equation 2)
Subtract equation 2 from equation 1:
{3 x+0 y = 0 | (equation 1)
0 x+y = 4 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 0 | (equation 1)
0 x+y = 4 | (equation 2)
Collect results:
Answer: {x = 0 , y = 4
Hence, The solution is, x = 0 , y = 4, solutions that this linear system of equation have.
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Complete question:
How many solutions does this linear system have?
y=-3x+4
x + 2y = 8
O
O
O
O
one solution: (8,0)
one solution: (0,8)
no solution
infinite number of solutions
He makes a total of $500 for every 3 clients he
acquires.
If Mark is saving to purchase $2,500 in new
equipment, then how many clients will he need?
Mark would need 15 new clients.
16−(7m+3)=8(1−m)
what is m
Answer:
m = -5
Step-by-step explanation:
16−(7m+3)=8(1−m)
16 - 7m - 3 = 8 - 8m
16 - 3 - 8 = 7m - 8m
5 = -m
(-1) * 5 = -m * (-1)
-5 = m
therefore, m = -5
what are the solutions of the equation x 322x 3 80
The solutions of the present given equation is x=5 or x=-1.
The answer of an equation is the set of all values that, whilst substituted for unknowns, make an equation true. For equations having one unknown, raised to a power, essential regulations of algebra, inclusive of the additive belongings and the multiplicative belongings, are used to decide its solutions.
A technique to an equation is a range of that may be plugged in for the variable to make a real wide variety announcement. 3(2)+5=11 , which says 6+5=11 ; that is true! So 2 is a answer. In fact, 2 is the ONLY technique to 3x+5=11. An equation is a mathematical announcement this is made from expressions related through an same sign. For example, 3x – 5 = sixteen is an equation. Solving this equation, we get the price of the variable x as x = 7.
Using the Equation we derive the roots:
\((x-3)^{2} + 2(x-3) - 8 = 0\\(x^{2} +9-6x)+2x-6-8=0\\(x^{2} -4x-5)=0\\\\\\\\\\\)
\(x^{2} -5x+1x-5=0\\x(x-5)+1(x-5)=0\\(x+1)(x-5)=0\\x+1=0\\ or\\ x-5=0\\\ then \\x= -1 \\or \\\ x = 5\)
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Correct Question:
what are the solutions of the equation \((x-3)^{2} * 2(x-3) - 8 = 0\)
3 po
A car is traveling at 100 km/hr. How many minutes will it take to cover a
displacement of 600 km? (MAKE SURE TO CHECK THE UNITS) *
Answer: 360minutes
Step-by-step explanation:
Speed = space/time ; time = space/speed
space = 600km
speed: 100km/h
time = 600km/100km/h = 6hours
Since 1hour = 60minutes
6hours = 6x60minutes = 360 minutes
Answer: 360minutes
Spymorei will give brainliest
Answer: -3
Step-by-step explanation:
HELP ASAP plz!!!!!!!!!!!!!
Answer:268.84
Step-by-step explanation:
Solve each equation. Round to the nearest ten-thousandth.
17(0.3x+5)
Answer:
first option
Step-by-step explanation:
using the property of logarithms
ln \(x^{n}\) = nlnx ( ln is the natural logarithm )
given
\(17^{(0.3x+5)}\) = 12
take the ln of both sides
ln \(17^{(0.3x+5)}\) = ln 12 , then
(0.3x + 5) ln 17 = ln 12 ( divide both sides by ln 17 )
0.3x + 5 = \(\frac{ln12}{ln17}\) ≈ 0.877063 ( subtract 5 from both sides )
0.3x ≈ - 4.12293 ( divide both sides by 0.3 )
x = \(\frac{-4.12293}{0.3}\) ≈ - 13.7431 ( to the nearest ten thousandth )
A teacher keeps track of the number of students that participate at least three times in an optional study session each year. He models the attendance over the last nine years with this function. n(t) = 3.53t^2 - 33.04t + 117.56 Which graph would most likely be associated with the given model?
Answer:
its B
Step-by-step explanation:
The graph that would most likely be associated with the given model is an option(b).
What is a graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
The regression equation is:
n(t) = 3.53t^2 - 33.04t + 117.56
The above regression equation is a quadratic function and non-linear.
thus, the graph must represent a non-linear relationship.
From the graphs, the only graph of the option (b) represents a quadratic function.
Other given options are either linear models or exponential.
Hence, the graph that would most likely be associated with the given model is an option(b).
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six quarts of paint is equally shared among 9 artists. how many quarts of paint does each artist get?
Answer:
2/3 quarts
Step-by-step explanation:
Paint used by 9 artists = 6 quarts
So, paint used by 1 artist if shared equally among the 9 artists
= 6 quarts/9
= 2/3 quarts
= 0.6666...... quarts
Rounding to the nearest hundredth, each artist would get approximately 0.67 quarts of paint.
To determine how many quarts of paint each artist gets when six quarts of paint are equally shared among nine artists, we can divide the total amount of paint by the number of artists. 6 quarts ÷ 9 artists = 0.6667 quarts per artist
To "equally share" means to divide or distribute something equally among a group of individuals or entities. It implies that each person or entity involved receives an equal portion or share of the item being distributed. This division ensures fairness and equal opportunities for everyone involved. The goal is to ensure that each recipient receives an equal amount or proportion of the item being shared.
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Part of the graph of the function f(x) = (x – 1)(x + 7) is shown below.
Which statements about the function are true? Select three options.
The vertex of the function is at (–4,–15).
The vertex of the function is at (–3,–16).
The graph is increasing on the interval x > –3.
The graph is positive only on the intervals where x < –7 and where
x > 1.
The graph is negative on the interval x < –4.
Answer:
The vertex of the function is at (–3,–16)
The graph is increasing on the interval x > –3
The graph is positive only on the intervals where x < –7 and where
x > 1.
Step-by-step explanation:
The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:
\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)
So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval
I really need help Really
Answer:
920cm^2
Step-by-step explanation:
look at the attachment below hope it helps pls mark brainliest :)
A company's sales decreased 1% this year, to $7958. What were their sales last year? (Round your answer to the nearest penny.)
If a company's sales decreased 1% this year, to $7958 then the sales last year was $8036.36.
To find the sales last year, we need to reverse the 1% decrease and calculate it based on the current sales.
Let's denote the sales last year as X.
1% decrease from X can be represented as: X - (1/100) × X
= X - 0.01X
= 0.99X
According to the given information, the sales this year is $7958, which is equal to 0.99X.
0.99X = $7958
To find X, we divide both sides of the equation by 0.99:
X = $7958 / 0.99
X ≈ $8036.36
Therefore, the sales last year were approximately $8036.36.
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Ruth wants to find the decimal equivalent of 226
, so she divides. Study Ruth’s work shown here, and then answer the questions below.
The digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number,
What is a rational number?A rational number is a number that can be expressed as a ratio or fraction of two integers (a numerator and a non-zero denominator).
We can see that the next three digits in the decimal points are 6, 6 and 6, respectively. Therefore, the decimal equivalent of 22/6 is:
22/6 = 3.666666...
We notice that the digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number, which means that its decimal representation either terminates (ends) or repeats in a pattern. In this case, it repeats in a pattern of 6's.
Each of the digits after the decimal point will be 6 because this number is a rational number and repeating decimal with a repeating digit of 6.
The difference between 40 and the product of these digits and 6 is always 4.
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Helpppp!!!
(Just the first one)
Answer:
All are rational except 2.36473....
Step-by-step explanation:
Any integers are rational, which means the top option (1000892) is rational.
Anything that can be written as a fraction is also rational, so \(\frac{1}{4}\) is rational.
0.89 can also be written as a fraction as \(\frac{89}{100}\) and 0.37373737... as \(\frac{37}{99}\)
Therefore the only number that is not rational is the last, as it never repeats itself so can't be written as a fraction.
Hope this helps! Let me know if you have any questions :)
On the past two quizzes, a student scored a 75 and 83. Write and solve a compound inequality to find the possible values for the 3rd quiz score that would give her an average between 85 and 90, inclusive.
The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.
How to determine the average?In Mathematics, the average of these quiz scores can be calculated by using the following formula:
Average = Sum of quiz score/Number of quiz scores
Note: Let the variable q represent the student's score on the third (3rd) quiz.
Substituting the given parameters into the formula, we have the following;
Average = (75 + 83 + q)/3
Average = (158 + q)/3
This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:
85 ≤ (158 + q)/3 ≤ 90
Multiplying all through by 3, we have the following:
255 ≤ (158 + q) ≤ 270
Subtracting 158 from both sides of the inequality, we have the following:
97 ≤ x ≤ 112
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Mr. Garza had 178 pencils in a storage room. He put 46 more boxes of pencils in the storage room. Each box contained 12 pencils. Which of these is the best estimate of the number of pencils Mr. Garza now has in his storage room?
Answer: 730
Step-by-step explanation:
46x12+178= 730
The width of the rectangle below is 9 cm, and its length is 17
cm. What is its area?
Its area is _ cm?
Answer:
Area=153 cm²
Step-by-step explanation:
Length × Width= Area
17×9=153
Answer:
153
Step-by-step explanation:
Area= length x width
area= 17 x 9
What is the y-intercept of y = -3 - 7x?
Answer:
make x=0 then y=-3-7(0)= (0 -3)
Answer:
y=-3
Step-by-step explanation:
see steps below:)
Write an equation of the line passing through the points (3,-6) with the slope of -2/3
Explanation:
The coordinate is given below as
\(\begin{gathered} (x_1,y_1)=(3,-6) \\ slope=m=-\frac{2}{3} \end{gathered}\)Concept:
To calculate the equation of a line given slope and one point, we will use the formula below
\(m=\frac{y-y_1}{x-x_1}\)By substituting the values, we will have
\(\begin{gathered} m=\frac{y-y_{1}}{x-x_{1}} \\ -\frac{2}{3}=\frac{y-(-6)}{x-3} \\ -\frac{2}{3}=\frac{y+6}{x-3} \\ cross\text{ multpily, we will have} \\ 3(y+6)=-2(x-3) \\ 3y+18=-2x+6 \\ 3y=-2x+6-18 \\ 3y=-2x-12 \\ divide\text{ through by 3} \\ \frac{3y}{3}=-\frac{2x}{3}-\frac{12}{3} \\ y=-\frac{2}{3}x-4 \end{gathered}\)Hence,
The final answer is
\(y=-\frac{2}{3}x-4\)Which angle number represents SXU?
Answer:
Angle 2
Step-by-step explanation:
Find S and find X.
Then find U.
The angle at X connected to S and U is the angle number.
please can you help me
Answer:
Step-by-step explanation:
This is a parallelogram. It's a quadrilateral. All quadrilaterals interior (inside) angles add up to 360 degrees.
Because it's a parallelogram, we know that the opposite angles are equal.
So x is equal to that angle in the opposite corner (diagonal), and 122 is the measure of the other opposite corner angle, too.
So add up those angles:
x + x + 122 + 122 = 360
Combine like terms
2x + 244 = 360
Solve for x
2x = 116
x = 58
Double check that it's correct:
58+58+122+122 = 360.
Answer:
x=58°
Step-by-step explanation:
The sum of the interior angles of a rhombus is 360 degrees. Therefore, if angle A of a rhombus is 122 degrees, then the opposite angle (angle C) is also 122 degrees. The adjacent angles (angle B and angle D) are supplementary to angle A and angle C, meaning that they add up to 180 degrees. So, angle B and angle D are each 180 - 122 = 58 degrees. To summarize, the angles of the rhombus are:
Angle A = 122 degreesAngle x = 58 degreesAngle a' = 122 degreesAngle x' = 58 degreesCan someone please help me with this question
Answer:
40 degrees
Step-by-step explanation:
i'm use......
pleas
HELP IMMEDIATELY
Answer:
144ft^3
Step-by-step explanation:
To start, we have your formula: \(V=\frac{1}{2} (bh) (l)\)
b = base length of the triangle.
h = height of the triangle.
l = length of the prism
Fill in for each of those values:
\(V = \frac{1}{2} (6x6)(8)\)
\(V=\frac{1}{2} (36)(8)\)
\(V=(18)(8)\)
\(V=144\)
Your answer, because it is a 3D shape, should be cubed, so:
\(V=144ft^{3}\)
I need help with my math
Step 1: Pick any two points
The points are represented as (x1,y1), (x2,y2).
where x1= -4, y1= -8, x2= 0, y2= 4
Step 2: Write out the formula of the equation to use
\(\frac{y-y_1}{x-x_1}=\text{ }\frac{y_2-y_1}{x_2-x_1}\)Step 3: Substituting the values and to get the equation
\(\begin{gathered} \frac{y-(-8)_{}}{x-(-4)}=\text{ }\frac{4-(-8)}{0-(-4)} \\ \frac{y+8}{x+4}=\frac{4+8}{0+4} \\ \frac{y+8}{x+4}=\text{ }\frac{12}{4} \end{gathered}\)\(\begin{gathered} \frac{y+8}{x+4}=\text{ 3} \\ \text{Cross multiply} \\ y+8=\text{ 3(x+4)} \\ y+8=\text{ 3x+12} \\ \text{Collect like terms} \\ y=\text{ 3x+12-8} \\ y=\text{ 3x + 4} \end{gathered}\)The equation that represents the graph is y= 3x+4.
Option A is the correct answer.
a train is running at a speed of hundred kilometre per hour how much distance will it run in 12 minutes
Step-by-step explanation:
In an hour, there are 60 minutes.
100km * (12/60) = 20km.
Hence the train runs 20km in 12 minutes.
Please solve this question
The correct order from least to greatest is log₂ 26, log₂ 33, log 26, eln 4, the correct option is D.
We are given that;
The logs log, 26, log, 33 and log3 26
Now,
We can simplify these expressions using the following identities:
eln x = x
log a a = 1
log a (b × c) = log a b + log a c
log a (b / c) = log a b - log a c
Using these identities and the properties of logarithms listed above, we can compare the given expressions as follows:
A. eln 4 = 4; log 26 < log 33; so we have:
4 < log 26 < log 33
B. eln 4 = 4; so we have:
log 33 < 4 < log 26 < log 26
C. eln 4 = 4; so we have
log₂ 26 < log 26 < log 33 < 4
D. eln 4 = 4; so we have:
log₂ 26 < log₂ 33 < log 26 < 4
Therefore, by logarithm the answer will be log₂ 26, log₂ 33, log 26, eln 4.
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Find the volume V of the described solid S.
The base of a solid S is the region enclosed by the parabola
y = 4 − x2
and the x-axis. Cross-sections perpendicular to the y-axis are squares.
check the image for the explanation
A recipe for jelly frosting calls for 1/3 cup of jelly and 1 egg white.
Is the number of egg whites used proportional to the cups of jelly used?
Answer:
No the number of egg whites used is not proportional to the cups of jelly used.
Step-by-step explanation:
if your jelly is 1/3 cup then just one egg white is not also 1/3 a cup
if the temperature was -2 1/2 in the morning . by the afternoon the temperature was 0.2 what was the change between the morning and afternoon.
The change between the morning and afternoon temperature is 2.7.
What is temperature?It should be noted that temperature simply means the degree of hotness as well as the coldness that is in a particular body
In this case, the temperature was -2 1/2 in the morning . by the afternoon the temperature was 0.2.
The change between the temperature will be:
= 0.2 - (- 2 1/2)
= 0.2 + 2.5
= 2.7
The temperature change is 2.7.
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