Answer:
35
Step-by-step explanation:
5 x 7 = 35
Answer=A
Let's write the an equation in slope intercept for for the line.
y-intercept=10
slope=rise/run=15/2=7.5
equation:
y=mx+b
y=7.5x+10
Solve for x=7
y=7.5(7)+10
y=52.5+10
y=62.5
Answer=A
Answer:
f(g(x)) = 4x² + 16x + 13
Step-by-step explanation:
Given the composition of functions f(g(x)), for which f(x) = 4x + 5, and g(x) = x² + 4x + 2.
<h3><u>Definitions:</u></h3>
- The <u>polynomial in standard form</u> has terms that are arranged by <em>descending</em> order of degree.
- In the <u>composition of function</u><em> f </em>with function <em>g</em><em>, </em>which is alternatively expressed as <em>f </em>° <em>g,</em> is defined as (<em>f </em> ° <em>g</em>)(x) = f(g(x)).
In evaluating composition of functions, the first step is to evaluate the inner function, g(x). Then, we must use the derived value from g(x) as an input into f(x).
<h3><u>Solution:</u></h3>
Since we are not provided with any input values to evaluate the given composition of functions, we can express the given functions as follows:
f(x) = 4x + 5
g(x) = x² + 4x + 2
f(g(x)) = 4(x² + 4x + 2) + 5
Next, distribute 4 into the parenthesis:
f(g(x)) = 4x² + 16x + 8 + 5
Combine constants:
f(g(x)) = 4x² + 16x + 13
Therefore, f(g(x)) as a polynomial in <em>x</em> that is written in standard form is: 4x² + 16x + 13.
<em><u>Question:</u></em>
One dollar is worth 3 1/2 kruneros. What is the value of 43 3/4 kruneros?
<em><u>Answer:</u></em>
The value of 
kruneros is 12.5 dollars
<em><u>Solution:</u></em>
Given that,
Dollar is worth three and 3 1/2 kruneros
Which means,
We have to find the value of kruneros
Let us convert the mixed fractions to improper fractions
Multiply the whole number part by the fraction's denominator.
Add that to the numerator.
Then write the result on top of the denominator.
So we have to find the value of 43.75 kruneros
Let "x" be the value of 43.75 kruneros
Then,
1 dollar = 3.5 kruneros
x dollar = 43.75 kruneros
This forms a proportion and we can solve the sum by cross multiply
Thus value of kruneros is 12.5 dollars
Since we already know the base area, we simply have to multiply it by the height to get the volume of the box (how much packing material it can contain)
9/10 x 1/3
<u>9</u> x <u>1</u> = <u>3</u><u>
</u>10 3 10 (I cancelled the 9 and 3 and made them 3 and 1 respectively)
<u>The answer is 3/10 ft</u>³
