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1 year ago

Evaluate f(g(5)) if F (x) = 5x + 2 and g (x) =X2 -4

Mathematics

1 answer:

Monica [59]1 year ago

7 0

Answer:

Step-by-step explanation:

g(5) = 5^2 - 4 = 25 - 4 = 21

f(21) = 5(21) + 2 = 105 + 2 = 107

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In the diagram, the measurements that are labeled are known, while the other measurements are unknown. Which measurement of acut

andrew-mc [135]

As the sine rule states,

A/sina = B/sinb = C/sinc .

in the diagram, there are two identified sides and if you use the sine rule, you can find the opposed angles easily.

there are:

side a, with angle â .
side b, with angle b.

so the answer is C.

if you input these into the sine rule, it would be:

a/ sin a = b/sin b

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2 years ago

Ellen can spend at most $8.25 on snacks for a party. Carrots cost $2 per pack and grapes cost 0.75 per bag. Write a linear inequ

UkoKoshka [18]

2c + .75g less than or equal to 8.25

c being how many packs of carrot

g being how many bags of grapes

6 0

2 years ago

Read 2 more answers

The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 sq

lara [203]

Answer:

Part 1) The constant of variation is $k=1/9$

part 2) The equation is $y=\frac{1}{9}x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

Let

x -----> the number of square feet

y -----> the number of square yards

Three square yards are equivalent to 27 square feet

we have the point (27,3)

Part 1) What is the constant of variation?

The constant of variation or proportionality is equal to

$k=y/x$

substitute the values

$k=3/27$

Simplify

$k=1/9$

Part 2) What is the equation representing the direct variation?

we know that

$y=kx$

substitute the value of k

$y=\frac{1}{9}x$

3 0

1 year ago

Read 2 more answers

If on a scale drawing 15 feet are represented by 10 inches then a scale of 1/10 inch represents how many feet

GenaCL600 [577]

A scale of $\frac{1}{10}$ inches will represent $\frac{3}{20}$ feet.

Step-by-step explanation:

According to scale drawing;

15 feet = 10 inches

1 inch = $\frac{15}{10}=\frac{3}{2}\ feet$

A scale of $\frac{1}{10}$ inch will represent;

Multiplying both sides by

$\frac{1}{10}*1=\frac{3}{2}*\frac{1}{10}\\\\\frac{1}{10}\ inches = \frac{3}{20}\ feet$

A scale of $\frac{1}{10}$ inches will represent $\frac{3}{20}$ feet.

Keywords: fraction, multiplication

Learn more about fractions at:

#LearnwithBrainly

3 0

2 years ago

the diagonal of a tv is 26 inches long assuming that this diagonal forms a tv pair 30-60-90 right triangles what are the exact l

Alexxandr [17]

It is an application of Pythagorean Theorem

And it is clear that the lower angle is 30 and the apex angle is 60 (this is how always normal TVs look like) ... refer to the image I attached

So, to calculate the width and the length:

$\frac{length}{26} =cos(30)\\~\\length=26*cos(30)=13 \sqrt{3} ~~in$

$\frac{width}{26} =sin(30)\\~\\width=26*sin(60)=13~~in$

You can after that round the length to be 22.517 in

Hope you got the idea

3 0

2 years ago