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4 years ago

Simplify each expression for x 4 a. -5x4 b. 7x-3

Mathematics

1 answer:

kirill [66]4 years ago

4 0

Does x equal 4 ?if it does then a) -100
b) 25

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What is the rate of change and initial value for the linear relation that includes the

Aleonysh [2.5K]

Answer:

The initial value of the function is 25 and the rate of change is - 5.

Step-by-step explanation:

The table gives the ordered pairs of linear relation and they are (1,20) and (3,10).

Now, the equation of the linear relation that includes those ordered pairs will be

$\frac{y - 10}{10 - 20} = \frac{x - 3}{3 - 1}$

⇒ y - 10 = - 5(x - 3)

⇒ y - 10 = - 5x + 15

⇒ y = - 5x + 25

Therefore, the initial value of the function is 25 and the rate of change is - 5. (Answer)

8 0

3 years ago

Select the correct answer from each drop-down menu.

Inessa [10]

Answer:

Part 1) The constant of proportionality is $k=6$

Part 2) The price of 6 bags of candy is $\$36$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

step 1

Let

x ------> the number of bags of candy

y -----> the price

Observing the graph

For x=1

The value of y=6

Find the value of k (constant of proportionality)

$k=y/x$

substitute

$k=6/1=6$

The linear equation is equal to

$y=6x$

step 2

Find the price of 6 bags of candy

For x=6

substitute in the equation and solve for y

$y=6(6)=\$36$

6 0

3 years ago

Plz help I’ll give 20 points

Norma-Jean [14]

The first one is : y= -1/2x+3

The second one is : y=x-3

7 0

3 years ago

What is 20 1/4 % of 3?

siniylev [52]

20 1\4%=81\4%
81\4 x 3
answer=60.75

8 0

3 years ago

A set S of strings of characters is defined recursively by 1. a and b belong to S. 2. If x belongs to S, so does xb. Which of th

alukav5142 [94]

Answer:

a) a

b) ab

e) bbbbb

Step-by-step explanation:

We are given the following in the question:

$a, b \in S$

$x \in S \Rightarrow xb \in S$

a) a

It is given that $a \in S$

b) ab

$\text{If }a \in S\\\Rightarrow ab \in S$

Thus, ab belongs to S.

c) aba

This does not belong to S because we cannot find x for which xb belongs to S.

d) aaab

This does not belong to S because we cannot find x for which xb belongs to S.

e) bbbbb

$\text{If }b \in S\Rightarrow bb \in S\\\text{If }bb \in S\Rightarrow bbb \in S\\\text{If }bbb \in S\Rightarrow bbbb \in S\\\text{If }bbbb \in S\Rightarrow bbbbb \in S$

Thus, bbbbb belongs to S.

8 0

3 years ago