Answer:
[tex]h(f(x)) = 18x -22[/tex]
Step-by-step explanation:
Given
f (x) = [tex](3x-5)^3[/tex]
[tex]h(x) =2\sqrt[3]{3x} + 8[/tex]
We are to find the composite function [tex]h(f(x))[/tex]
[tex]h(f(x))[/tex][tex]= h ((3x-5)^3)[/tex]
To get [tex]h ((3x-5)^3)[/tex], we will substitute x as (3x-5)³ in h(x)as shown:
[tex]h(x) =2\sqrt[3]{3(3x-5)^3} + 8\\h(f(x)) =2(3(3x-5)+ 8\\h(f(x)) = 2(9x-15)+8\\h(f(x)) =18x-30+8\\h(f(x)) = 18x - 22[/tex]
3. Jack received $75 for his birthday. He spent $25 on a new baseball glove, S45 on a new pair of shoes, and $5
on digital music
(a) What portion of his birthday money went toward new shoes? Express the value as a simplified
fraction. Then, convert the fraction to a percent Show your work
(b) What portion of his birthday money went toward music? Express the value as a simplified fraction.
Then, convert the fraction to a decimal. Round the decimal to the nearest hundredth or indicate it as
repeating. Show your work
(C) Write the ratio of money Jack spent on music to money Jack spent on shoes. Simplify your answer.
What does the ratio mean? What fraction is equivalent to the ratio?
Answer:
a) What portion of his birthday money went toward new shoes? Express the value as a simplified
fraction. Then, convert the fraction to a percent Show your work
Step-by-step explanation:
a) What portion of his birthday money went toward new shoes? Express the value as a simplified
fraction. Then, convert the fraction to a percent Show your work
Manny's cleaning supply store receives a mixture of 80% detergent and 20% water in 15-gallon buckets. Manny would like a mixture of 60% detergent and 40% water in 5-gallon buckets. To make this, he combines some 80/20 mixture with some pure water in each 5-gallon bucket. How many gallons of pure water does Manny add to each 5-gallon bucket? Express your answer as a decimal to the nearest hundredth.
Answer:
1.25 gallons of pure water
Step-by-step explanation:
Manny's cleaning supply store receives a mixture of 80% detergent and 20% water in 15-gallon buckets.
0.80 d + 0.20w = 15 gallon
Manny would like a mixture of 60% detergent and 40% water in 5-gallon buckets.
0.60d + 0.40w = 5 gallon
0.80 d + 0.20w = 15 ....... Equation 1
0.60d + 0.40w = 5 ......….. Equation 2
Using elimination method
Multiply Equation 1 with 0.60
Multiply Equation 2 with 0.80
We eliminate d
0.80 d + 0.20w = 15 × 0.6
0.60d + 0.40w = 5 × 0.8
=
0.48d + 1.2w = 9....... Equation 4
0.48d + 3.2w = 4..... Equation 5
Subtract Equation 5 from 4
= - 2.0w = -5
w = -5/-2
w = 2.5 gallons.
Hence: 2.5 gallons/2
= 1.25 gallons.
Therefore, Manny adds 1.25 gallons of pure water.
A function F(x) is such that F(-x) = F(x). If F(2) = -5. which of the following points must also be on the graph of F(x)? A. (-2,5) B. (2.5) C. (-2,-5) D. (-5. 2) E. (-5, -2)
Answer:
(-2,-5)
Step-by-step explanation:
Since F(x)=F(-x), F(2)=F(-2)=-5
So, (-2,-5) must be on F(x)
Solve the following. 5 ice cream cones cost $8.25. At this rate, how much do 2 ice
cream cones cost?
Your answer
Answer:
$3.30
Step-by-step explanation:
5x = 8.25
divide by 5
one ice cream equals $1.65
multiply by 2 to get $3.30
i don't understand this!
Answer:
at the left of the image, is it 37 or 57
Step-by-step explanation:
Joanna is baking cookies and
cupcakes. She has 1 cups of
sugar already. The cookies require
2 cups of sugar and the
cupcakes require į cup of
sugar.
How much more sugar does
Joanna need?
HELPP ASAPPP
Answer:
3(4/3) = 4
Step-by-step explanation:
Karen already has 1/2 cup of sugar on hand, she needs (4 - 1/2), or 3 1/2, more cups of sugar to triple the recipe.
Hope this helps ;)
Target is advertising a Back to School sale on pens. A pack of 30 sells for $8.90, whereas a 15-pack of me same brand costs $4.39. Which is the better buy? How do you know?
Answer: Well you don't really need to do math. You have to think half of 30 is 15. So then you would multiply 4.39 times 2 and you get 8.78. So the 15 pack is a better deal.
Step-by-step explanation: Hope this helps! Feel free to ask any other questions in the comment section :)
11. List the steps to constructing the line of reflection.
Answer:
Construct a perpendicular from A to the line of reflection. Measure the length from A to the intersection point. Copy this length on the perpendicular bisector starting at the intersection point to find A'. You have located ONE vertex of the image.
help please correct answers only thank you
Please help! What is the slope?
Answer:
1/3
Step-by-step explanation:
BRAINLIEST A store owner mixed 8 pounds of peanuts and 9 pounds of m&ms, the mixture sold for 55.27. a second mixture included 6 pounds of peanuts and 4 pounds of m&ms and sold for 42.70. find the cost per pound of the peanuts and m&ms
Answer:
$4.99
Step-by-step explanation:
8(3.79)+5y=55.27
30.32 +5y=55.27
5y=24.95
y=4.99
Fill in the first blank: ____÷2=_____ Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2): 100% The problem expects a numeric answer (ex: 3.1, 5, 2/3 or 1 2/3). You entered "12/2=6"
Answer:
Are put in both 1st and 2nd blank and simplified.
Step-by-step explanation:
5 ____÷2=_____ 2.5
3.1 ____÷2=_____ 1.55
4 1/2=9/2 ____÷2=_____ 9/4=2.25
3/2 ____÷2=_____ 3/4=0.75
If we put the values in the first blank we get the answer simply by dividing it by 2.
6.2 ____÷2=_____ 3.1
10 ____÷2=_____ 5
4/3 ____÷2=_____ 2/3
10/3____÷2=_____ 1 2/3
If we fill in the blanks with the numbers given as answers we do reverse operation. We multiply the answer with 2 to get the numbers in the first blank.
10____÷2=_____ 5
6.2____÷2=_____3.1
9____÷2=_____4 1/2
3____÷2=_____ 3/2
ASAP ASAP ASAP
please help me with this
Answer:
b
Step-by-step explanation:
Find the equation of the line use exact numbers y =___ x + _____ PLEASE HELP
The equation of the graphed line, in slope-intercept form, is: y = -3x + 7.
How to Find the Equation of a Line in Slope-intercept Form?To find the equation of the line that is given above, we need to find the slope of the line (m) and the y-intercept (b), then substitute the values into y = mx + b.
Find the slope:
Slope of a line (m) = change in y / change in x = rise/run
The line declines, so, the value of the slope would be negative.
Rise (change in y) = 3 units
Run (change in x) = 1 unit
Slope (m) = - (3 units/1 unit)
Slope (m) = -3
The y-intercept (b) would be the point where the line cuts the y-axis, which is: 7.
Y-intercept (b) = 7
Write the equation by substituting b = 7 and m = -3 into y = mx + b:
y = -3x + 7.
Thus, the equation, in slope-intercept form, is: y = -3x + 7.
Learn more about the equation of a line on:
https://brainly.com/question/13763238
#SPJ1
what is the horizontal intercept of 3x+5y=-5
Answer:
(-5/3, 0)
Step-by-step explanation:
The horizontal intercept basically is the x-intercept. To find the x-intercept, substitute in 0 for y and solve for x.
Plz HELP ME! Can someone rotate this 90 degrees counter clockwise? TYSM (:
Answer:
I cant really see it but this will help 100%.
Step-by-step explanation:
6. Find XY. Any answers
which table has a constant of proportionality between Y and X of 1/5?
Answer:
B
Step-by-step explanation:
From the table B has a constant of proportionality between y and x of 1/5.
We need to find which table has a constant of proportionality between y and x of 1/5.
What is constant of proportionality?Constant of proportionality is the constant value of the ratio between two proportional quantities.
The equation for direct proportionality is y = kx, which shows as x increases, y also increases at the same rate.
Now, k=y/x
From table A:
k=4/5 ÷ 2
=2/5
k=14/5 ÷ 7
=2/5
k=24/5 ÷ 12
=2/5
From table B:
k=8/5 ÷ 8
=1/5
k=9/5 ÷ 9
=1/5
k=2/10 =1/5
From table C:
k=16/5 ÷ 3
=16/15
k=26/5 ÷ 5
=26/25
k=36/5 ÷ 7
=36/35
Therefore, from the table B has a constant of proportionality between y and x of 1/5.
To learn more about the constant of proportionality visit:
https://brainly.com/question/8598338.
#SPJ5
Given the triangle XYZ, what is cos Z?
Y
16
30
X
34
Z
Answer:
34
Step-by-step explanation:
Find the Product:
[tex](9+4s)(4+s)[/tex]
What is the slope of the line that passes through the points
(1, -3) and (4, 2)?
Answer:
[tex]m =\frac{5}{3} \\\\m = 1\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-\left(-3\right)}{4-1}\\\\m = \frac{2+3}{4-1}\\ \\m =\frac{5}{3} \\\\m = 1\frac{2}{3}[/tex]
What is the sum? Express the answer in scientific notation.
(2.6 x 10⁻⁵)+(9.2 x 10⁻⁵)
11.8 times 10 superscript negative 10
1.18 times 10 Superscript negative 6
11.8 times 10 Superscript negative 5
1.18 times 10 Superscript negative 4
h e l p m e
Answer:
1.18 times 10 Superscript negative 4 YW
Step-by-step explanation:
Answer: D
Step-by-step explanation:
What does the "complement of an event" mean? *
All outcomes of the event
The opposite event
The same event
none of above
Answer:
the answer is none of above
Answer:
all out comes that are not the event
so B i think
Step-by-step explanation:
And together the Event and its Complement make all possible outcomes..
3 + 2x = -6x + 4
What does x equal?
I WILL MARK BRAINLIEST!!!!!!! Point Q (-3,2) is translated 4 units left and 2 units down. What is the ordered pair of Q' after this translation?
A.(-7,0)
B.(4,0)
C.(4,4)
D.(1,4)
E(1,0)
F.(-7,4)
If c is a number with no exponent, what is the value of c in the equation below?
StartFraction 4 Superscript 7 Baseline Over 4 cubed EndFraction = a Superscript b Baseline = c
Answer:
The answer is 256
Step-by-step explanation:
This is the right answer.
If c is a number with no exponent, what is the value of c in the equation below?
StartFraction 4 Superscript 7 Baseline Over 4 cubed EndFraction = a Superscript b Baseline = c
⇒ 256
This is the truth. I got the answer wrong to show you guys the answer.
Have a good day and stay safe!!!!!!!
2020 edgen
Answer:
256!!!
Step-by-step explanation:
What are the factors of 6x2+37x−60?
3x−4 and 2x+15
3x+4 and 2x−15
2(x−2) and 3(x+5)
2(x+2) and 3(x−5)
Answer:
3x-4 and 2x+15 is the answer
Step-by-step explanation:
I took the test
Find the volume of a square pyramid with base edges of 48 cm and a slant height of 26 cm
Answer:
mks
Step-by-step explanation:
w mw
Max Points! Will Mark Brainliest To Whoever Gets Both Of These Correct First!
Answer:
c and d
Step-by-step explanation:
Answer:
c and d
Step-by-step explanation:
I have done this before
what is the volume of this sphere
Answer:
2854.54
Step-by-step explanation:
Answer:
2855.69 cube unit.
Step-by-step explanation:
Volume of sphere=4/3 pie r^3
= 4/3 *22/7*8.8^3
= 2855.69 cube unit