Which expression is equivalent to (7x - 5 ) - ( 3x - 2)?

Answers

Answer 1

Answer: $(7x - 5 ) - ( 3x - 2)$

$7x-5-3x+2$

$(7x-3x)-5+2$ $\ Gather \ like \ terms$

$4x-5+2$

$4x-3$

Answer 2

Answer: Distribute the minus sign into the second parenthesis to get 7x-5-3x+2.
Then combine like terms to get 4x-3

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Julie is at the store buying groceries. She needs to get a quart of orange juice and some peaches. The quart of orange juice costs $2.25 and the peaches are $0.75 each. The function f(x) = 0.75x + 2.25 represents Julie's expenses at the grocery store. What do the f(x) and the x represent?A. f(x) represents the number of items purchased at the grocery store; x represents the number of peaches purchased
B. f(x) represents the total cost of the grocery bill; x represents the cost per peach
C. f(x) represents the number of items purchased at the grocery store; x represents the cost per peach
D. f(x) represents the total cost of the groceries; x represents the number of peaches purchased

Answers

The function f(x) = 0.75x + 2.25 represents the total cost of the groceries, and x represents the number of peaches purchased. Therefore, option (D) is correct.

What is a function?

A function is a relation where every input is connected to only one possible output from a set of available inputs.

Given that, the cost of one quart of orange Julie is $2.25 and the cost of peaches is $0.75 each.

Let Julie purchase one-quarter of orange juice and x peaches, then the total cost is:

0.75x + 2.25

Hence, the function f(x) = 0.75x + 2.25 represents the total cost of the groceries, and x represents the number of peaches purchased. Therefore, option (D) is correct.

Learn more about functions:

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Answer:

Answer is C

Step-by-step explanation:

Starts off with F(x) is equal to, which means F(x) will be the answer to this problem, and is the total amount of money spent on the bill. the second part would be the cost per peach because it says in the equation it is $0.75 Per peach.

hope this helps!

use the given conditions to write an equation for the line in point slope form passing through (-5,7) and (-8,6)

Answers

point slope form is
y-y1=m(x-x1)
where slope=m
and (x1,y1) is a given point

slope=(y2-y1)/(x2-x1)
slope=(6-7)/(-8-(-5))=-1/(-8+5)=-1/-3=1/3

pick any point
(x,y)
(-5,7)

y-7=1/3(x+5) or
y-6=1/3(x+8)

please help :) Which sentence is true? A. 9.46 times 10 to the 12 power > 4.0 times 10 to the 13 power B. 9.46 times 10 to the 12 power < 4.0 times 10 to the 13 power

Answers

Answer:

Step-by-step explanation:

The problem is simple because they use powers of 10. When something is multiplied by a power of ten, it is essentially moving the decimal point over for every power.

9.46x10^12= 9460000000000

4.0x10^13= 40000000000000

Although 4 itself is less than 9.46, since is is being multiplied by 10^13, it will be one decimal place bigger.

At a school supply store, binders cost $5 and pencil pouches cost $2. In one day, 42 of these items are sold for total sales of $144. Which system represents this (b represents binders and p represents pencil pouches), and how many binders were sold?

Answers

Answer:

Part 1) The system of equations that represent this situation is equal to

b+p=42 and 5b+2p=144

Part 2) 20 binders were sold

Step-by-step explanation:

Let

b -----> the number of binders sold

p -----> the number of pencil pouches sold

Part 1)

we know that

The system of equations that represent this situation is equal to

b+p=42

5b+2p=144

Part 2) How many binders were sold?

we have

b+p=42

p=42-b ------> equation A

5b+2p=144 -----> equation B

substitute equation A in equation B

5b+2(42-b)=144

5b+84-2b=144

3b=144-84

3b=60

b=20 binders

If m(x)=2x and n(x)=x-4 find the general rule for m(n(x))

Answers

$m(n(x))=2(x-4)=2x-8$

A school librarian can buy books at a 20% discount from the list price. One month she spent $72 for books. What was the list price value of the books? Is the answer $90?