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zimovet [89]
3 years ago
9

Choose the graph which represents the solution to the inequality. 12x + 4 ≤ -8

Mathematics
1 answer:
user100 [1]3 years ago
3 0

Answer:

<h2>x\leq -1</h2>

Step-by-step explanation:

Steps:

12x+4-4\leq -8

Subtract 4 from both sides:

12x+4-4\leq -8-4

Simplify:

12x\leq \frac{-12}{12}

Divide both sides by 12:

\frac{12x}{12} \leq \frac{-12}{12}

Simplify:

x\leq -1

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B) State a valid formula for multiplying out (A + B)(A − B)
Diano4ka-milaya [45]

(A+B)(A-B) = A^2-B^2.

It's equality constant

8 0
3 years ago
Find the midpoint of the line segment with the given endpoints.<br> (-4,-2) (3, 3)
sergiy2304 [10]

Answer : - 4 + 3 = - 1

- 2 + 3 = 1

By half gives - 1/2 and 1/2

So midpoint (-1/2, 1/2)

6 0
2 years ago
GIVING BRAINLIEST! A rectangular garden has a width of 10 feet and a length of 14 feet. A cement walkway is added around the out
Serjik [45]

Given:

Width of a garden = 10 feet

Length of the garden = 14 feet

Area of the garden and the walkway together = 396 square feet.

To find:

The width of the walkway.

Solution:

A cement walkway is added around the outside of the garden.

Let x be the width of the walkway.

The width of the garden with walkway = 10+2x

The length of the garden with walkway = 14+2x

Area of a rectangle is

Area=length\times width

Area of garden and the walkway together is

Area=(14+2x)\times (10+2x)

396=140+28x+20x+4x^2

396=140+48x+4x^2

396=4(35+12x+x^2)

Divide both sides by 4.

99=35+12x+x^2

0=35-99+12x+x^2

0=-64+12x+x^2

Splitting the middle term, we get

x^2+16x-4x-64=0

x(x+16)-4(x+16)=0

(x+16)(x-4)=0

Using zero product property, we get

(x+16)=0\text{ and }(x-4)=0

x=-16\text{ and }x=4

Width of walkway cannot be negative. So, x=4.

Therefore, the width of the walkways is 4 feet.

6 0
3 years ago
Read 2 more answers
F(x) = 2(2)2 – 3(2) + 7<br> = 2(4) – 3(2) + 7
hammer [34]

Answer:

9

Step-by-step explanation:

2(2)2 -3(2) + 7

2(4) - 6 + 7

8 - 6 + 7

2 + 7

9

5 0
3 years ago
Tyrone paid $2,800 plus 7% sales tax on mountain bikes for a bike club.How much did Tyrone pay in total for the mountain bikes?
timurjin [86]
2800 x 0.07 = 196
2800 + 196 = 2996
Total paid = $2996
8 0
3 years ago
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