Select the correct answer.
f(x) =2x + 4,
4 + 1⁄2x,
-x + 5,
x < -2
-2 < x < 2
2 ≤ x
Which of the following is the graph of the function shown above?
Answers
The identified graph of the function is graph Y (bottom left)
How to determine the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = 2x + 4, x ≤ -2
4 + 1⁄2x, -2 < x < 2
-x + 5, 2 ≤ x
The above function is a piecewise function
By the domain of the functions, we have the following endpoints
f(x) = 2x + 4, x < -2 = closed endpoint
4 + 1⁄2x, -2 < x < 2 = open endpoint
-x + 5, 2 ≤ x = closed endpoint
When the above endpoints and functions are compared to the graph, we have the graph to be graph Y (bottom left)
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Related Questions
Find the polar coordinates of rectangular coordinates (-√2,1). Limit θ to the interval [0,2pi) and round 2 dceimal places if needed
Answers
The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.
To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:
r = √(x² + y²)
θ = tan^⁻1(y/x)
Plugging in the given values of (-√2,1), we get:
r = √((-√2)² + 1²) = √(2 + 1) = √3
θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians
Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:
θ ≈ 2.0344 + π ≈ 5.1779 radians
Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).
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6 less than the product of 4 and a number n is -12. What is the number?
Answers
Answer:-3/2
Step-by-step explanation:
4n-6=-12
4n=-6
n=-6/4
n= -3/2
The measure of angle A is 68°. The measure of angle B is 22°. Which statement best describes the relationship between these two angles?
Answers
Answer:
They are complementary angles.
Step-by-step explanation:
The sum of their measurements equals 90 degrees.
If 10^3=1,000, write the logarithmic form that is equal to 3 below
Answers
Answer:
log10(1000)=3
Note: The ten is the base number and should be placed slightly lower and be smaller than shown.
A bag contains 15 pieces of candy. In how many ways can eight pieces be selected?
way(s)
Answers
Answer:
below
Step-by-step explanation:
Out of 15 choose 8 is
15 C 8 = 15 ! / (8! 7!) = 6435 ways
Write an equation for a line parallel to y=5x+4 and passing through the point (4,25)
Answers
Answer:
y = 5x + 5
Step-by-step explanation:
m = 5
y = mx + b
25 = 5(4) + b; b = 5
y = 5x + 5
8. Erin has $50. She wants to purchase a cell phone ($20) and spend the
rest on music CDs. Each music CD costs $8. Write an inequality for the
number of music CDs she can purchase.
HELL ASAP
Answers
Answer:
she can purchase 3
Step-by-step explanation:
(50 - 20) = $30 left to spend
8 x 3 = 24 so she only has enough to buy 3
What is the square root of ab²?
O ab
Ob√a
Oa²b²
Ob²
Answers
Answer:
b\(\sqrt{a}\)
Step-by-step explanation:
using the rule of radicals
\(\sqrt{ab}\) = \(\sqrt{a}\) × \(\sqrt{b}\) , then
\(\sqrt{ab^2}\)
= \(\sqrt{a}\) × \(\sqrt{b^2}\)
= \(\sqrt{a}\) × b
= b\(\sqrt{a}\)
two rectangular prisms, m and n, are mathematically similar. The volumes of m and n are 17cm^3 and 136cm^3, respectively. The height of N is 18 cm. Find the corresponding height of m.
Answers
The corresponding height of similar rectangular prism m is 9 centimeter.
Given that, the volume of rectangular prism m is 17 cm³ and the volume of rectangular prism n is 136 cm³.
If two solids are similar, then the ratio of their volumes is equal to the cube of the ratio of their corresponding linear measures.
The height of n is 18 cm.
Here, m³/n³ = 17/136
m³/18³ = 17/136
m³/18³ = 17/136
(m/18)³ = 1/8
(m/18)³ = (1/2)³
m/18 = 1/2
m=9 cm
Therefore, the corresponding height of similar rectangular prism m is 9 centimeter.
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To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil for a 2-year period. The maximum penetration (in mils) for each specimen is then measured, yielding a sample average penetration of x= 53.8 and a sample standard deviation of s = 4.3. The conduits were manufactured with the specification that true average penetration be at most 50 mils. They will be used unless it can be demonstrated conclusively that the specification has not been met. What would you conclude?
State the rejection region(s) for an α =0.05 test. If the critical region is one-sided, enter NONE for the unused region. Round your answers to two decimal places.
z≤_____
z≥_____
Compute the test statistic value. Round answer to 2 decimal places.
z = _____
Answers
Statistic value t = 5.975 ≈6
p-value: < 0.00002.
The corrosion-resistance properties of a certain type of steel conduit a random sample of 45 specimens was taken and buried for two years.
The study variable is:
X: Maximum penetration of a steel conduit.
The data of the sample :
n= 45
sample mean X[bar]= 53.4
sample standard deviation , S= 4.2
The conduits are manufactured to have a true average penetration of at most 50 mills, symbolically: μ ≤ 50
The hypothesis is:
H₀: μ ≤ 50
H₁: μ > 50
α: 0.05
To choose the corresponding statistic to use to study the population mean, the variable must have a normal distribution. There is no available information to check this, so I'll just assume that the variable has a normal distribution and, since the population variance is unknown and the sample is small, the statistic to use is a Student t.
Under the null hypothesis, the critical region and the p-value are one-tailed.
Critical value:
\(t_{n -1; 1 - \alpha }\) = \(t_{44; 0.95} = 1.68\)
Rejection rule:
Reject the null hypothesis when t ≥ 1.68
t= \(\frac{53.8 - 50}{\frac{4.3} \sqrt{45} }\)
t= 5.9375 ≈ 6
The calculated value is greater than the critical value, the decision is to reject the null hypothesis.
p-value:
P(t ≥ 5.93) = 1 - P(t < 5.93) = < 0.00002.
The p-value is less than α. Thus, the decision is to reject the null hypothesis.
Since the null hypothesis was rejected, then the population average of the penetration of the conduits specimens is greater than 50 mils. It is not recommendable to use these conduits.
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Show your work please help me it’s due tomorrow!!!!
Answers
Answer: Consider me the brainiest. The answer is... Decimal form =4.083
Exact form= 49/12
The mixed number form=4 1/12
How do we solve fractions step by step?
Conversion a mixed number 2 1/3 to a improper fraction: 2 1/3 = 2 1/3 = 2 3 + 1/3 = 6 + 1/3 = 7/3
To find a new numerator
A; Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3
b) Add the answer from the previous step 6 to the numerator 1. The new numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 3.
Two and one-third are seven-thirds.
Conversion a mixed number 1 3/4 to a improper fraction: 1 3/4 = 1 3/4 = 1 · 4 + 3/4 = 4 + 3/4 = 7/4
To find a new numerator:
a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/4 = 4/4
b) Add the answer from the previous step 4 to the numerator 3. The new numerator is 4 + 3 = 7
c) Write a previous answer (new numerator 7) over the denominator 4. One and three quarters are seven quarters.
Add: 7/3 + 7/4 = 7 · 4/3 · 4 + 7 · 3/4 · 3 = 28/12 + 21/12 = 28 + 21/12 = 49/12 It
is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the following intermediate step, it cannot further simplify the fraction result by cancelling. In other words - seven thirds plus seven quarters is forty-nine twelfths.
After training Naruto went to a ramen shop for dinner. Since Naruto eats ramen for lunch and dinner daily, the shopkeeper gives him a 33.33% discount. If ramen costs 45 cents, how much does Naruto spend in 15 days?
Points given: 20
Answers
To calculate how much Naruto spends on ramen in 15 days, we need to determine the total cost of ramen per day and then multiply it by 15.
Since Naruto receives a 33.33% discount, he pays 100% - 33.33% = 66.67% of the original price.
66.67% of 45 cents is (66.67/100) * 45 = 30 cents.
So, Naruto spends 30 cents on ramen per day.
To find out how much he spends in 15 days, we multiply the daily cost by the number of days:
30 cents * 15 = 450 cents.
Therefore, Naruto spends 450 cents, which is equivalent to $4.50, on ramen in 15 days.
What is the equation of the line in slope intercept form?
Answers
Answer:
y = x + 60
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line
m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1
the line crosses the y- axis at (0, 60 ) ⇒ c = 60
y = x + 60 ← equation of line
What is the pattern for the sequence 1.3, 8.3, 27.3, 64.3,…?
Answers
The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3
Calculating the pattern for the sequenceThe pattern in the question is given as
1.3, 8.3, 27.3, 64.3,…
In the above expressions and pattern, we can see that
The decimal part remain unchangedThe digit before the decimal is the cube of its positionFrom the above, we have the following
Current term = (n)³.3
Note that the decimal does not represent product
And also the pattern is a geometric sequence
Hence, the pattern for the sequence is f(n) = (n)³.3
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Need help asap any help would be much appreciated!
1. The first five terms of an arithmetic sequence are 4, 10, 16, 22, and 28. Which function f(x) could be used to describe the xth term of the sequence?
A f(x)=−6x+4
B f(x)=−6x−2
C f(x)=6x+4
D f(x)=6x−2
2. The graph of the function h(x) passes through the points (−1,12) and (3,7). Which equation could be used to describe this function?
A h(x)=−54x+434
B h(x)=52x+292
C h(x)=−52x+192
D h(x)=54x+534
3. Which equation could be used to describe the function represented by the data shown in the table below?
x f(x)
−5 −29
−1 −17
2 −8
7 7
9 13
A f(x)=−3x−20
B f(x)=9x+8
C f(x)=6x−35
D f(x)=3x−14
4. A freight train departs from one train station to its destination at a constant speed. Suppose the distance the train is from the station in miles is represented as a function of the number of hours after the train departed from the train station. If the graph of the function passes through the points (0.5,135) and (2,81), what is the distance between the train station and the freight train's destination?
A 189 miles
B 162 miles
C 171 miles
D 153 miles
5. The nth term of the sequence −5, 1, 7, 13, 19,... could be represented by the function f(n), while the nth term of the sequence 3, 8, 13, 18, 23,... could be represented by the function g(n). Explain which function has a greater slope.
A The function g(n) has a greater slope because the first term of the sequence represented by g(n) is greater than the first term of the sequence represented by f(n).
B The function f(n) has a greater slope because the first term of the sequence represented by f(n) is greater than the first term of the sequence represented by g(n).
C The function f(n) has a greater slope because the difference between each term in the sequence represented by f(n) is greater than the difference between each term in the sequence represented by g(n).
D The function g(n) has a greater slope because the difference between each term in the sequence represented by g(n) is greater than the difference between each term in the sequence represented by f(n).
Answers
Answer:
1.D:f(x)= 6x-2
2.A:h(x)= -5/4x+43/4
3.D:f(x)= 3x-14
4.D: 153 miles
5.C: The function f(n) has a greater slope because the difference between each term in the sequence represented by f(n) is greater than the difference between each term in the sequence represented by g(n).
Step-by-step explanation:
I took the quiz so I know that these are right.
Find the length of segment FA. Explain
Will be marked as brainliest
Answers
Helpp need it now
9.) Find the N' .
1.) {j , u , d , g}
2.) {m , n , t , a , l}
3.) {j , u , d , g , e}
4.) {m , e , n , t , a , l}
10.) Find the N U I.
1.) {m , n , t , a , l}
2.) {j , u , d , g , e}
3.) {m , e , n , t , a , l}
4.) {j , u , d , g , m , e , n , t , a , l}
Answers
Answer:
8.) ans {e}
9.) ans {j, u, d, g}
10.) ans {j, u, d, g, m, e, n, t, a, l}
= Answer:
Find the y-intercept of 2x - y = -16
Answers
Determine the slope and the y-intercept. Javier has a balance of 213$ on his game store gift card. He spends 50$ on each game he buys from the store pls and ty
Answers
The linear equation is:
y = -50x + 213
So the slope is -50, and the y-intercept is 213.
How to find the slope and the y-intercept?A general linear equation can be written in the following way:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that Javier has a balance of $213 on his game store gift card, and each game costs $50, then the balance after buying x games is given by the linear equation below:
y = -50x + 213
You can see that the slope is -50 and the y-intercept is 213.
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Find the exponential function that contains the points (0,5) and (2,20)
Answers
PLSSS HELLPPPP I WILL HIVE BRAINLIEST!!!
Answers
Answer:
6,000cm^3
Step-by-step explanation:
I don't know if this is correct but, volume is LxWxH and for each rectangular prism, it is 20cm x 10cm x 15cm. So each rectangular prism is 3,000cm^3 and you add them together, you get answer.
(please help ASAP ill mark brainiest)
Nathan is building a toolshed with a rectangular floor. The area of a rectangle is given by the formula I . w, the length, and w represents the width. The floor of the shed will have measurements of either 1 = 9 and w=7 or I=8 and w = 8. What is the area of the larger floor?
Answers
Answer:
64
Step-by-step explanation:
Plug the options into the given equation (l times w) and then choose the larger value.
7x9=63
8x8=64
64>63
64 is the greater value
What is the measure of t? *
So
10
to
25°
Answers
The calculated measure of t from the given equation is 15 degrees
Calculating the measure of t?From the question, we have the following parameters that can be used in our computation:
10
to
25°
When expressed properly, we have
10° + t° = 25°
Evaluate the like terms
So, we have
t° = 15°
Hence, the value of t° is 25°
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using the priority list t2, t7, t6, t4, t10, t8, t9, t3, t1, t5, schedule the project below with two processors.
Answers
The average T2, T7, T6, T4, and T10 in Processor 1
T8, T9, T3, T1, and T5 on Processor 2.
Work on tasks t2, t7, t6, t4, and t10 will be done by processor 1. The first task to be finished is task t2, followed by tasks t7, t6, t4, and lastly t10. Work on tasks t8, t9, t3, t1, and t5 will be done by processor 2. The first work to be finished is task t8, followed by t9, t3, t1, and ultimately t5. In order to finish the job quickly, both processors will cooperate, with Processor 1 concentrating on the early tasks and Processor 2 concentrating on the later duties. This guarantees that the project is finished on schedule and that all the tasks are carried out in the proper order.
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Solve for y
4y = 32
Please answer!
Answers
Answer:
y = 8
Step-by-step explanation:
4t=32
Divide each side by 4
4y/4 = 32/4
y = 8
Answer: y = 8
Step-by-step explanation:
Firstly, you divide 4 ÷ 4y = 1y or more known as "y" then you do the same thing for the 32 (32 ÷ 4 = 8)
Finally, you write y = 8 and that is your final answer!
I hope this helps! Good luck with future homework and exams! <3
P.S Here's a fun fact! ~~
Hot water will turn into ice faster than cold water!
Approximate the temperature of the water after 6 intervals
Answers
4x+3(2x-1)-4x i need help
Answers
Answer:
x=0.5
Step-by-step explanation:
Simplifying
4x + -3(2x + -1) + -4x = 0
Reorder the terms:
4x + -3(-1 + 2x) + -4x = 0
4x + (-1 * -3 + 2x * -3) + -4x = 0
4x + (3 + -6x) + -4x = 0
Reorder the terms:
3 + 4x + -6x + -4x = 0
Combine like terms: 4x + -6x = -2x
3 + -2x + -4x = 0
Combine like terms: -2x + -4x = -6x
3 + -6x = 0
Solving
3 + -6x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -6x = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -6x = 0 + -3
-6x = 0 + -3
Combine like terms: 0 + -3 = -3
-6x = -3
Divide each side by '-6'.
x = 0.5
Simplifying
x = 0.5
HELP WILL GIVE BRAINLIEST!!!!
2. Which of the following equations is FALSE?
BC=20
AC=20
BD= 10
AD= 10
Answers
Answer:
letter c the BD= 10
Step-by-step explanation:
Answer:
BD=10
Step-by-step explanation:
1. BAD=BCD=60
Therefore
BA = BC (sides opposite to equal angles are equal)
BA=20
Therefore BC=20
2.BAC+BCA+ABC=180(sum of the interior angles of a triangle is 180)
60+60+ABC=180
ABC=180-120
ABC=60
ABC=BAC=BCA
Therefore ABC is an equilateral triangle
AC=20
4. AC=AD+DC
AD=DC (BD is a perpendicular bisector)
Therefore
AC=2×AD
AC=20
20=2×AD
AD=20÷2
AD=10
Hope this helps!
Jason budgets 28% of his $1,500 income each month for food. How much money does he have to spend for everything else? O $53.57 O $420,00 O $1,080.00 O $1,446.43
Answers
Answer:
$1,080.00
Step-by-step explanation:
$1,500 - 28% = $1,080.00
SOMEOME PLEASE HELP ASAP ITS DUENSOON I NEED HELP!!!
