What is the solution to the equation?

forsale [732]

If c > 0, then f(x - c) is a shift of f(x) by c units to the right, and f(x + c) is a shift by c units to the left.

If d > 0, then f(x) - d is a shift by d units downward, and f(x) + d is a shift by d units upward.

Let g(x) = x. Then f(x) = g(x + a) - b = (x + a) - b. So to get g(x), we translate f(x) to the left by a units, and down by b units.

Note that we can also interpret the translation as

• a shift upward of a - b units, since

(x + a) - b = x + (a - b)

• a shift b units to the right and a units upward, since

(x + a) - b = x + (a - b) = x + (- b + a) = (x - b) + a.

6 0

2 years ago

Write an equation for the line parallel to y= -2x+1 that contains (-2,5)

grin007 [14]

Answer:

y = - 2x + 1

Step-by-step explanation:

Parallels line have the same slope, when an equation is in the form y= mx + b, m is the slope. In this problem slope = - 2

Now with the slope what is missing is the y-intercept, the problem says that the line contains the point (-2, 5), replacing that point in the equation you can solve it to find the y-intercept

y = mx + b

5 = (-2)(-2) + b

5 = 4 + b

1 + b

y = - 2x +1

5 0

3 years ago

What is the solution to this equation? x-8=15 A)x=13 B)x=17 C)x=7 D) x=23

Blababa [14]

Hi there! :)

Answer:

x=23

*The answer must have a positive sign.*

Step-by-step explanation:

This lesson it's about addition property of equality.

First, you add by 8 from both sides of an equation.

$x-8+8=15+8$

And then, you add by the numbers. Simplify and solve.

$15+8=23$

Final answer: → $x=23$

Hope this helps!

Thanks!

-Charlie

Have a great day!

:)

:D

3 0

3 years ago

First five common multiples of 7and 20

gulaghasi [49]

The first 5 Multiples of 7 are 35, 70, 105, 140, 175
The first 5 Multiples of 20 are: 20, 40, 60, 80, 100

4 0

3 years ago

The next model of a sports car will cost 5.2% less than the current model. The current model costs $41,000. How much will the pr

Ivanshal [37]

The price will decrease by $2132

Step-by-step explanation

Given that the next model of the sports car will cost 5.2% less than the current model.

The price of the current model=$41000

The price of the next model will be 5.2% less than $41000

$price\ of\ next\ model=price\ of \ current \ model \times(100-5.2)/100\\=41000\times 94.8/100\\=38868$

$decrease in price=41000-38868=2132$

There is a $2132 decrease in prize of the sports car.

3 0

3 years ago