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Elza [17]
3 years ago
8

What is the solution of |3x+9|≤15 answer choices v

Mathematics
2 answers:
Advocard [28]3 years ago
6 0

|3x+9|\leq 15\\3x+9\leq 15 \,\,\mbox{for}\,\,x\geq -3\\\rightarrow x\leq2\\-(3x+9) \leq 15 \,\,\mbox{for}\,\,x< -3\\\rightarrow x \geq -8\\\mbox{combined:}\\-8\leq x \leq 2

correct answer is choice #3: -8<=x<=2

e-lub [12.9K]3 years ago
5 0

Answer:

-8<x<2


Step-by-step explanation:


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Answer:

Distributive Property of Multiplication

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Which constant could each equation be multiplied by to eliminate the x variable in this system of equations? 4x + 5y = 62 5x − 3
qwelly [4]

Answer:

Multiply equation 4x+5y=62 by 5 and 5x-3y=22 by 4

Step-by-step explanation:

Given:

Equations are 4x+5y=62,5x-3y=22

To find: constant by which each equation should be multiplied to eliminate the variable x in the given system of equations

Solution:

4x+5y=62...(i)\\5x-3y=22...(ii)

Multiply equation (i) by 5 and (ii) by 4 to get the following equations:

20x+25y=310\\20x-12y=88

On subtracting these equations, we get

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3 years ago
Let m Z1=(3x)º, m 22=(5x-7)", m 23=(4x+15), and m ZAFD=128º. Find m44 and m ZBFD.​
olga55 [171]

Answer:

m<4 = 52°

m<BFD = 98°

Step-by-step explanation:

m<1 = (3x)°

m<2 = (5x - 7)°

m<3 = (4x + 15)°

m<AFD = 128°

✔️Find m<4:

m<4 = 180° - m<AFD (angles on a straight line)

Substitute

m<4 = 180° - 128°

m<4 = 52°

✔️m<BFD = m<2 + m<3

Substitute

m<BFD = (5x - 7)° + (4x + 15)°

We need to find the value of x.

Create an equation to find x.

m<1 + m<2 + m<3 = m<AFD (angle addition postulate)

Substitute

3x + 5x - 7 + 4x + 15 = 128°

Add like terms and solve for x

12x + 8 = 128

12x + 8 - 8 = 128 - 8

12x = 120

12x/12 = 120/12

x = 10

m<BFD = (5x - 7)° + (4x + 15)°

Plug in the value of x

m<BFD = 5(10) - 7 + 4(10) + 15

m<BFD = 50 - 7 + 40 + 15

m<BFD = 98°

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Answer:

(5490-650) ÷ 22 = Y

Step-by-step explanation:

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