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3 years ago

Given f(x) =5 - 3x, if f(x) = -19, find x

Mathematics

1 answer:

ASHA 777 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

5-3(-19)

-3(-19)= 57

57+5=62

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NO ASSESSMENTS/NO LINKS!!

alexdok [17]

9514 1404 393

Answer:

g(x) = x -1

Step-by-step explanation:

Translation of a function by (right, up) = (h, k) is accomplished by ...

g(x) = f(x -h) +k

Here the translation is 4 units left, so h=-4 and k=0. This means ...

g(x) = f(x +4) = (x+4) -5

g(x) = x -1

3 0

3 years ago

Is x a solution to 80<-9x+8

saveliy_v [14]

Answers: $x$

1. Switch sides

$-9x+8>80$

2. Subtract by 8 from both sides of equation.

$-9x+8-8>80-8$

3. Simplify.

$-9x>72$

4. Multiply by -1 from both sides of equation. (it's should be the reverse inequality).

$(-9x)(-1)$

5. Simplify.

$9x$

6. Then you had to divide by 9 from both sides of equation.

$\frac{9x}{9}< \frac{-72}{9}$

7. Simplify.

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

8. Divide by the numbers.

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

$=x$

$\frac{-72}{9}=-8$

9. Divide by the numbers.

$\frac{72}{9}=8$

$=-8$

$x$

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3 0

3 years ago

Line segment AB has endpoints A(-1.5, 0) and B(4.5 8). Point C is on line segment AB located at (0, 2)

Pie

Answer:

The ratio of AC/CB=1/3

Step-by-step explanation:

We use the section formula:

$(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})$

We substitute the point A(-1.5,0) and B(4.5,8).

We plug in the points to get:

$(\frac{4.5m - 1.5n}{m+n},\frac{8m+n \times 0}{m+n})$

This is supposed to be equal to: (0,2).

$(\frac{4.5m - 1.5n}{m+n},\frac{8m+n \times 0}{m+n}) = (0,2)$

We can equate, corresponding coordinates to find m and n.

$\frac{4.5m - 1.5n}{m + n} = 0$

This implies that:

$4.5m - 1.5n = 0$

$4.5m = 1.5n$

$\frac{m}{n} = \frac{1.5}{4.5}$

$\frac{m}{n} = \frac{1}{3}$

Therefore the ratio is m:n=1:3

4 0

3 years ago

In the equation 3x+ 2 = 11 which number is the constant?

grigory [225]

Answer:

The constant is 2 and 11

Step-by-step explanation:

A constant is a number that always has the same value. In this equation 2 and 11 are the constants because they stay the same. 3x doesn't stay the same because 3 is multiplying x.

Hope This Helps :)

6 0

2 years ago

A swimming pool that is 10 feet, 20 feet long, and 4 1/2 feet deep. how much water can this swimming pool hold (to the top of th

Sever21 [200]

Answer:

900 cubic feet

Step-by-step explanation:

Volume = length x width x height

= 10 x 20 x 4.5

= 900

3 0

2 years ago