Answer:
(f o h)(x) = -10x + 32
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2x³ + 8
h(x) = ∛(12 - 5x)
(f o h)(x) is f(h(x))
<u>Step 2: Find Composite Function</u>
- Substitute: (f o h)(x) = 2(∛(12 - 5x))³ + 8
- Evaluate: (f o h)(x) = 2(12 - 5x) + 8
- Distribute 2: (f o h)(x) = 24 - 10x + 8
- Combine like terms: (f o h)(x) = -10x + 32
And we have our final answer!
Answer:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Step-by-step explanation:
hope this helps if do mark brainllest pls
Answer:
<h2>
the answer is</h2><h2>
166 cm²</h2>
Step-by-step explanation:
we know that
surface area of the prism=2*area of the base+perimeter of the base*height
step 1
find the area of the base
area of the base=length* width
length=5 cm
width=4 cm
area of the base=5*4-----> 20 cm²
step 2
find the perimeter of the base
perimeter=2*[length+width]-----> 2*[5+4]----> 18 cm
step 3
height=7 cm
step 4
find the surface area
surface area of the prism=2*area of the base+perimeter of the base*height
surface area of the prism=2*20+18*7----> 166 cm²
Answer:
2/5
Step-by-step explanation:
x/y = 2/5y
or, x= 2/5
Answer:
Answer in simplified mixed form is 1 5/6
Step-by-step explanation:
We need to solve: -6 7/8 divided by (-3 3/4)
This can be written as:
-6 7/8 ÷ (-3 3/4)
Since -6 7/8 = -55/8 and -3 3/4 = - 15/4
So we can write :
-6 7/8 ÷ (-3 3/4) = -55/8 ÷ (-15/4)
or (-55/8 ) / (-15/4)
or (-55/8) * (-4/15)
or -(-220/120)
or 11/6
or 1 5/6 , this is the answer
We got the answer in simplified mixed form is 1 5/6
