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3 years ago

What is the solution to the system of equation

Mathematics

1 answer:

maksim [4K]3 years ago

4 0

Answer:

D. (2 , 1)

Step-by-step explanation:

STEP 1: Replace all occurrences of $y$ with $-3x+7$ in each equation.

$-x+14=12\\y=-3x+7$

STEP 2: Solve for $x$ in the first equation.

$x=2\\y=-3x+7$

STEP 3: Replace all occurrences of $x$ with $2$ in each equation.

$y=1\\x=2$

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In 2000, the average monthly price for basic cable television in the United States was $29.99. In 2016, the average monthly pric

Lelu [443]

Answer:

$y(x) = 29.99 + 1.86x$

The cost of basic cable television in the United States in the year 2020 will be $67.19.

Step-by-step explanation:

The linear function has the following format.

$y(x) = y(0) + ax$

In which y(x) is the cost x years after 2000, y(0) is the initial cost, that is, the cost in 2000, and a is the slope(how much the cost changes in a year).

In 2000, the average monthly price for basic cable television in the United States was $29.99.

This means that $y(0) = 29.99$

In 2016, the average monthly price for the same basic cable television was $59.75.

2016 is 16 years after 2000. So

$y(16) = 59.75$

Write a linear function that models the cost of basic cable television in the United States for x years after 2000.

$y(x) = y(0) + ax$

Applying y(16).

$59.75 = 29.99 + 16a$

$16a = 29.76$

$a = \frac{29.76}{16}$

$a = 1.86$

$y(x) = 29.99 + 1.86x$

Use the linear function to determine the cost of basic cable television in the United States in the year 2020.

2020 is 20 years after 2000, so this is y(20).

$y(x) = 29.99 + 1.86x$

$y(20) = 29.99 + 1.86*20 = 67.19$

The cost of basic cable television in the United States in the year 2020 will be $67.19.

3 0

3 years ago

If f(x) = 5x − 1 and g(x) = 2x2 + 1, what is the value of (f × g)(-3)?

Softa [21]

f(x) = 5x − 1 and g(x) = 2x^2 + 1

(f × g)(x) = (5x − 1)(2x^2 + 1)

(f × g)(x) = 10x^3 - 2x^2 + 5x - 1

Substitute x = - 3

(f × g)(-3) = 10(-3)^3 - 2(-3)^2 + 5(-3) - 1

(f × g)(-3) = 10(-27) - 2(9) -15 - 1

(f × g)(-3) =-270 - 18 - 16

(f × g)(-3) = -236

Answer

- 236

6 0

3 years ago

Helpppppp I’ll Mark you brainliest

Debora [2.8K]

Answer:

6.32

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

HELP YOU WILL GET BRAINLIST

aksik [14]

Answer:

it is the blue box (not teal)

64 x 7/4 is less than 64 because 7/4 > 1

Hope this helps :)

4 0

3 years ago

Which of the following is not an example of a parent function

marta [7]

A parent function is normally not streched or anything or shhifted

y=kx or
y=x^a or
y=a^x are exapmles

y=x is y=1x
y=2x^3 is not it because the parent would be y=x^3
y=1/x is y=x^-1
y=2^x is y=2^x

answer is 2x^3 is not a parent function

5 0

3 years ago