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3 years ago

F(x) = x^2. What is g(x)? pls help

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

7 0

Answer:

A. g(x)= 1/3x²

Step-by-step explanation:

The graph of the function g(x) has a point (3,3) on it.

g(3) = 3

Let's check which of the answer choices is correct:

A. g(x)= 1/3x²
g(3) = 1/3*3² = 3
g(3) = 3
This is correct

B. g(x)= (1/3x)²

g(3) = (1/3*3)² = 1
g(3) = 1 ≠ 3
Incorrect

C. g(x) = 1/9*x²

g(3)= 1/9*3²= 1
g(3) = 1 ≠ 3
Incorrect

D. g(x)= 3x²

g(3)= 3*3²= 27
g(3) = 27 ≠ 3
Incorrect

Correct choice is A. g(x)= 1/3x²

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Use the law of cosines to find the length of side C.

sergij07 [2.7K]

Answer:

$\text{D. 36.64}$

Step-by-step explanation:

The Law of Sines is given by $\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$ and works for any triangle.

Therefore, we have the proportion:

$\frac{c}{\sin 41.5^{\circ}}=\frac{37}{\sin 42^{\circ}},\\\\c=\frac{37\sin 41.5^{\circ}}{\sin 42^{\circ}}=36.6399945706\approx \boxed{36.64}$

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3 years ago

A tourist takes a picture with a Moai statue on Easter Island. In the photograph, the Moai statue is approximately 4.54.54, poin

KengaRu [80]

Answer:

The of the tourist is 1.67 meters.

Step-by-step explanation:

Height of statue in photograph = 4.5 inches.

Height of tourist in photograph = 1.25 inches.

$\dfrac{Statue}{Tourist}=\dfrac{4.5}{1.25}$

Actual height of statue = 6.0 meters.

We need to find the the actual height of the tourist in meters.

Let x be the actual height of the tourist in meters.

$\dfrac{Statue}{Tourist}=\dfrac{6.0}{x}$

Ratio of height of statue and tourist are proportional.

$\dfrac{4.5}{1.25}=\dfrac{6.0}{x}$

$3.6=\dfrac{6.0}{x}$

$3.6x=6.0$

$x=\dfrac{6.0}{3.6}$

$x\approx 1.67$

Therefore, the of the tourist is 1.67 meters.

5 0

4 years ago

Match the pairs of polynomials to their products. (xy + 9y + 2) and (xy – 3) x2y2 + 3x2y – 7xy – 27x – 18 (2xy + x + y) and (3xy

zlopas [31]

Answer:

Step-by-step explanation:

1) (xy+ 9y + 2) and (xy – 3)

Each term of second expression will be multiplied by first bracket.

xy(xy+9y+2) -3(xy+9y+2)

x²y²+9xy²+2xy-3xy-27y-6

x²y²+9xy²-xy-27y-6

2) (2xy + x + y) and (3xy2 – y)

3xy²(2xy+x+y) -y(2xy+x+y)

6x²y³+3x²y²+3xy³-2xy²-xy-y²

6x²y³ – 2xy² + 3x²y² – xy + 3xy³ – y²

3) (x – y) and (x + 3y)

x(x-y) +3y(x-y)

x²-xy+3xy-3y²

x²+2xy-3y²

4) (xy + 3x + 2) and (xy – 9)

xy(xy + 3x + 2) -9(xy + 3x + 2)

x²y²+3x²y+2xy-9xy-27x-18

x²y²+3x²y-7xy-27x-18

5) (x2 + 3xy – 2) and (xy + 3)

xy(x2 + 3xy – 2) +3(x2 + 3xy – 2)

x³y+3x²y²-2xy+3x²+9xy-6

x³y+3x²+3x²y²+7xy-6

6) (x + 3y) and (x – 3y)

x(x + 3y) -3y(x + 3y)

x²+3xy-3xy-9y²

x²-9y² ....

6 0

4 years ago

Karen spends $450 on monthly bills. Of this total amount, 12% is for phone service, 110 is for Internet service, and 29 is for u

kirill [66]

2018 thankyou very much

8 0

4 years ago

Read 2 more answers

Lisa [10]

Answer:

what? what is this supposed to be?

4 0

3 years ago