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3 years ago

Expressions and Equations

Mathematics

1 answer:

marissa [1.9K]3 years ago

3 0

Answer:

a. Yes

b. Yes

c. Yes

d. No

Step-by-step explanation:

a. Because -10x+4x=6x

b. 2(12-3x)=2*12-2*3x=24-6x

c. 24 and -6x just switched places.

d. 24x-6x=18x not 24-6x

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Graph linear system and estimate the solution y=5x + 2 y=3x

NeTakaya

Y = 5x + 2
y = 3x

5x + 2 = 3x
- 5x - 5x
      2 = -2x
   -2 - 2
       -1 = x
y = 3x
y = 3(-1)
y = -3
(x, y) = (-1, -3)

3 0

2 years ago

Add -54 + 18. -36 -44 -72

Illusion [34]

Answer:

A. -36

*The answer must have a negative sign.*

Step-by-step explanation:

First, you had to add/subtract by the integers.

Then, you subtract by the numbers.

$54-18=36$

It change positive to negative sign.

$=-36$

Hope this helps!

-Charlie

Thank you!

8 0

2 years ago

Read 2 more answers

If (-1, y) lies on the graph of y=2^2x then y=

zubka84 [21]

Answer:

y is 1/4 when x is -1 if I did interpret your equation right. Please see that I did.

I believe the equation to be $y=2^{2x}$ . If you meant $y=2^2x$ , please let me know.

Thanks kindly.

Step-by-step explanation:

If (-1,y) lies on the graph of $y=2^{2x}$ , then by substitution we have:

$y=2^{2\cdot -1}$ .

We just need to simplify to determine y:

$y=2^{2 \cdot -1}$

Multiply the 2 and -1:

$y=2^{-2}$

Use reciprocal rule for exponents to get rid of the negative:

$y=\frac{1}{2^2}$

$2^2$ just means $2(2)$ :

$y=\frac{1}{2(2)}$

$y=\frac{1}{4}$ .

8 0

2 years ago

Round the digit greater than 10, and estimate the answer. 8,572 x 7= P

luda_lava [24]

Answer:

60000

Step-by-step explanation:

8572x7= 60004...

Rounded to the nearest 10 (Which I assume you wanted to happen) is: 60000

[If I am wrong I am very sorry, please message me]

6 0

2 years ago

Dale works at a mattress store, and makes a salary plus commission. He has a $500 weekly salary and makes a 5% commission for sa

Anni [7]

Answer:

1. $\( f\circ g(x)=0.05x-150$

2. $\( g\circ f(x)=0.05x-3000$

3. The first one represents Dale's commission

Explanation:

1. The composition of the function

$f\circ g(x)=f(g(x))$

means that you first apply the function g(x) and then f(x) on the output of g(x).

That is:

f(x) = 0.05x
g(x) = x - 3000

$f(g(x)=0.05(x - 3000)$

$f(g(x))=0.05x-150$

2. The composition of the function

$g\circ f(x)=g(f(x))$

means that you first apply the function f(x) and then g(x) on the output of f(x).

That is:

$g(f(x))=((0.05x)-3000)=0.05x-3000$

3. Which one represents Dale's commission

To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).

Therefore, you first use g(x).

Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.

Therefore, the composition that represents Dale's commission is the first one:

$f(g(x)=0.05(x - 3000)$

$f(g(x))=0.05x-150$

4 0

2 years ago