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3 years ago

Solve |x + 7| < 6

Mathematics

2 answers:

ASHA 777 [7]3 years ago

7 0

Answer:

A) –13 < x < –1

Step-by-step explanation:

|x + 7| < 6

Separate into possible cases

$x + 7 < 6 \\x +7 \geq 0$

Solve the inequalities

$x < - 1, x \geq -7\\x > -13, x < -7$

Find the intersections

$x = (-7, -1)\\x = (-13, -7)$

Find the union

Answer: A) –13 < x < –1

Vedmedyk [2.9K]3 years ago

4 0

Answer:

A) - 13 < x < - 1

Step-by-step explanation:

1) Rewrite the inequality without the absolute value.

$- 6 < x + 7 < 6$

2) Subtract 7 from the whole equation.

$- 6 - 7 < x < 6 - 7$

3) Simplify.

$- 13 < x < - 1$

Therefor, the answer is the first option.

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If (x+2,y=(4,3) find the values of x and y please help

Firdavs [7]

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3 years ago

A company needs $5,400,000 in 14 years in order to expand their factory. How much should the company invest each week if the inv

ludmilkaskok [199]

Answer: the company should invest $12191 each week

Step-by-step explanation:

The amount that the company needs is $5,400,000

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the weekly payments.

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Therefore,

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3 0

3 years ago

After distributing the terms (3x - 7) (2x + 5), you get a new expression of the form

jeka57 [31]

First multiply (3x-7) and (2x+5)
i already did the multiplication so i am writing the answer
(3x-7)(2x+5)
6x^2+x-35

a is 6
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if you want me to share how i did the multiplication then do let me know

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2 years ago

solve the inequality below. Use the drop-down menus to describe the solution and its graph -7x+13>41

3241004551 [841]

｡☆✼★ ━━━━━━━━━━━━━━ ☾

-7x + 13 > 41

- 13

-7x > 28

/ -7

x < -4

Have A Nice Day ❤

Stay Brainly! ヅ

- Ally ✧

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4 years ago

Find the measure of the numbered angles in rhombus ABCD

sasho [114]

Answer:

see the explanation

Step-by-step explanation:

we know that

In a Rhombus opposite angles are congruent and consecutive angles are supplementary

The diagonals are perpendicular and bisect the angles

step 1

Find the measure of angle 4

we know that

$m\angle 4=27^o$ --->by the diagonals bisect the angles

step 2

Find the measure of angle 1

we know that

$m\angle 1=27^o$ ----> by opposite angles are congruent

step 3

Find the measure of angle 2

we know that

$m\angle 1=m\angle 2$ ----> by the diagonals bisect the angles

$m\angle 2=27^o$

step 4

Find the measure of angle 3

we know that

$m\angle 3=90^o$ ----> by the diagonals are perpendicular

step 5

Find the measure of angle 5

we know that

$m\angle 5+27^o=90^o$ ----> by complementary angles

$m\angle 5=90^o-27^o=63^o$

step 6

Find the measure of angle 6

we know that

$m\angle 6=m\angle 5$ ----> by the diagonals bisect the angles

$m\angle 6=63^o$

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3 years ago