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zlopas [31]
4 years ago
12

Simplify the following equation. (4x^2+3)-(-3x^2-x+5)

Mathematics
1 answer:
AnnyKZ [126]4 years ago
8 0

Answer:

7x² + x – 2

Step-by-step explanation:

(4x² + 3) – (–3x² – x + 5)

First, distribute the minus sign to eliminate the parentheses (negative terms become positive and vice versa):

4x² + 3 + 3x² + x – 5

Then, combine like terms:

7x² + x – 2

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SAVINGS ACCOUNT Demetrius deposits $120 into his account. One week later, he withdraws $36. Write an addition expression to repr
LenKa [72]

Answer:

+$120 - $36

Higher by $84

Step-by-step explanation:

Addition expression is an equation without the equals to sign

$120 - $36

When the first expression was made, the account was higher by $120

After the second transaction, the account would be higher by $120 - $36 = $84

6 0
4 years ago
Callie has 2 cans of orange paint with 4.5 gallons in each can. She also has 910 of a gallon of black paint. Her brother took 0.
Solnce55 [7]

Answer:

The total amount of paint left is 1.6 gallon of paint remaining

Where she has:

1.5 gallon of orange paint left and 0.1 gallon of black paint left.

Step-by-step explanation:

Step 1

Callie has 2 cans of orange paint with 4.5 gallons in each can.

The total gallons of orange paint that she has is given as:

1 can = 4.5 gallons

2 cans = x gallons

Cross Multiply

x = 4.5 gallons × 2 cans

x = 9 gallons of orange paint.

She also has 9/10 of a gallon of black paint.

Her brother took 0.8 gallon of the black paint

and 3.75 gallons from each of the cans of orange paint.

Since there are 2 cans, the total gallons of orange paint that her brother took = 2 × 3.75 gallons

= 7.5 gallons

Step 2

For orange paint

The amount of orange paint that she has left = 9 gallons - 7.5 gallons

= 1.5 gallons of orange paint left.

For black paint

We are told that: She also has 9/10 of a gallon of black paint.

Converting to decimal

= 0.9 gallon of black paint.

Her brother took 0.8 gallon of the black paint

The total gallon of black paint that she has left =

0.9 gallon - 0.8 gallon

= 0.1 gallon of black paint left.

The total amount of paint Callie has remaining after her brother took the stated amounts is:

1.5 gallon of orange paint + 0.1 gallon of black paint = 1.6 gallon of paint remaining

4 0
3 years ago
I need these missing blanks please..
Alex777 [14]
What number can divide
42, 42x and -35x^2
7 0
2 years ago
What is an equation for the line parallel to y = -3x – 5 that contains (-1, 8)?
jeka57 [31]
<h3>Answer: y = -3x+5</h3>

slope = -3

y intercept = 5

==================================================

Explanation:

The given line is in the form y = mx+b, so the slope is m = -3

Any parallel line to this one will also have the same slope, but a different y intercept.

Plug (x,y) = (-1,8) and m = -3 into y = mx+b so we can find new y intercept.

---------------------

y = mx+b

8 = -3(-1) + b

8 = 3+b

8-3 = b

5 = b

b = 5

So because m = -3 and b = 5, this means we have y = -3x+5 as our answer.

5 0
3 years ago
Read 2 more answers
The following is equivalent to 6 power of negative 3
drek231 [11]

Hey there!!!

Remember :

===> n⁻ˣ is equal to 1 / nˣ

In the question, it is stated n as 6 and x is 3

====> 6⁻³

... 1 / 6³

= 1 / 216

Hope my answer helps!

5 0
3 years ago
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