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3 years ago

If f(x) = -x + 8 and g(x) = 3x + 6, find (f o g) (3)

Mathematics

1 answer:

Temka [501]3 years ago

4 0

Answer:

14 is the answer

Step-by-step explanation:

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Multiply or divide to find two equivalent fractions of 1/2

patriot [66]

Answer:

3/6 and 5/10

Explanation:

Given the fraction 1/2:

(a)Multiply the numerator and denominator by 3

$\frac{1}{2}\times\frac{3}{3}=\frac{3}{6}$

An equivalent fraction is 3/6.

(b)Multiply the numerator and denominator by 5:

$\frac{1}{2}\times\frac{5}{5}=\frac{5}{10}$

An equivalent fraction is 5/10.

4 0

2 years ago

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Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder. Based on this assumption,

kompoz [17]

If the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder, then its volume is

$V_{flask}=V_{sphere}+V_{cylinder}.$

Use following formulas to determine volumes of sphere and cylinder:

$V_{sphere}=\dfrac{4}{3}\pi R^3,\\ \\V_{cylinder}=\pi r^2h,$

wher R is sphere's radius, r - radius of cylinder's base and h - height of cylinder.

Then

$V_{sphere}=\dfrac{4}{3}\pi R^3=\dfrac{4}{3}\pi \left(\dfrac{4.5}{2}\right)^3=\dfrac{4}{3}\pi \left(\dfrac{9}{4}\right)^3=\dfrac{243\pi}{16}\approx 47.71;$
$V_{cylinder}=\pi r^2h=\pi \cdot \left(\dfrac{1}{2}\right)^2\cdot 3=\dfrac{3\pi}{4}\approx 2.36;$
$V_{flask}=V_{sphere}+V_{cylinder}\approx 47.71+2.36=50.07.$

Answer 1: correct choice is C.

If both the sphere and the cylinder are dilated by a scale factor of 2, then all dimensions of the sphere and the cylinder are dilated by a scale factor of 2. So

R'=2R, r'=2r, h'=2h.

Write the new fask volume:

$V_{\text{new flask}}=V_{\text{new sphere}}+V_{\text{new cylinder}}=\dfrac{4}{3}\pi R'^3+\pi r'^2h'=\dfrac{4}{3}\pi (2R)^3+\pi (2r)^2\cdot 2h=\dfrac{4}{3}\pi 8R^3+\pi \cdot 4r^2\cdot 2h=8\left(\dfrac{4}{3}\pi R^3+\pi r^2h\right)=8V_{flask}.$

Then

$\dfrac{V_{\text{new flask}}}{V_{\text{flask}}} =\dfrac{8}{1}=8.$

Answer 2: correct choice is D.

8 0

4 years ago

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Melaine charges $4.50 per hour when she washes cars, plus $5.00 for supplies. Which function rule represents the amount y melain

spayn [35]

Answer:

B y= 4.50x + 5.00

Step-by-step explanation:

4.50 is the “mx” in y=mx+b also known as the Slope that moves.

the 5 is the ”b” which is the y-intercept. It is a constant and does not change.

4 0

4 years ago

I need help asap plz

Lostsunrise [7]

Answer:

Step-by-step explanation:

The constant of proportionality is the ratio between the two proportional variables in a directly proportional relationship. In this case, the variables are $x$ and $y$ .

To find the constant of proportionality, all we have to do is divide any value of $y$ by its corresponding value of $x$ . Let's take the values in the first row of the table. We know that $x=2$ and $y=12$ , so the constant of proportionality is $\frac{y}{x}=\frac{12}{2} =6$ . Hope this helps!

7 0

3 years ago

Help here ASAP you dont have to write a long one just a short one is fine

pychu [463]

Answer:

Commutative property and associative properties are mixed up.

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers