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3 years ago

Isolate the variable to solve 4x + 4 > –20. Which number line shows the solution set?

Mathematics

2 answers:

g100num [7]3 years ago

4 0

Answer:

your answer B

Step-by-step explanation:

rate brainliest

sdas [7]3 years ago

3 0

Answer:

the solution to this inequality is: (-6,∞).

Step-by-step explanation:

" Isolating the variable means rewriting an equivalent equation in which the variable is on one side of the equation and everything else is on the other side of the equation ".

Here we are given an inequality as:

4x + 4 > –20

so subtracting both side by 4 we have:

4x>-20-4

4x>-24

x>-6 (dividing both side by 4)

Hence we get the solution on the number line as:

all those real number which are strictly greater than -6; In intervals we can write this as:

(-6,∞).

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An 800 seat complex is divided into 3 theater. There are 270 seats in theater 1. There are 150 more seats in theatre 2 than in t

sergey [27]

Answer: 380

Step-by-step explanation:

800 minus 270 is 530

530 minus 150 is 380

3 0

3 years ago

How to do this step by step?

serg [7]

The answer is 27.6
angle version of the law of cosines:

cos(C) = (a^2 + b^2 − c^2)/2ab

cos(A) = (b^2 + c^2 − a^2)/2bc

cos(B) = (c^2 + a^2 − b^2)/2ca

cos A = (b^2 + c^2 − a^2) / 2bc
cos A = (10^2+20^2-14^2)/200
cos A = (100+400-196)/200
cos A = (500-196)/200
cos A = (304)/200
cos A = (1.52)
A = cos^-1(1.52) = 40.54 degrees

cos B = (c^2+a^2-b^2)/2ca
cos B = (20^2+14^2-10^2)/280
cos B = (400+196-100)/280
cos B = (496)/280
cos B ≈ 1.77
B = cos^-1(1.77) = 27.66 degrees

we have two methods left to find the measure of angle C:
method 1 :
cos C = (a^2+b^2-c^2)/2ab
cos C = (14^2+10^2-20^2)/140
cos C = (196+100-400)/140
cos C = (-104)/140
cos C ≈ -0.74

C = cos^-1(-0.74) = 111.8 degrees

method 2: 40.54+27.66 = 68.2
180-68.2=111.8

The measure of angle A: 40.54
The measure of angle B: 27.66
The measure of angle C: 111.8

6 0

4 years ago

It takes nora two hours to paint a wall 5m by 8m, and zack three hours to paint a wall 4m by 9m. together, how long will it take

Zolol [24]

Nora's speed (5*8)m²/2h= 20 m²/h.
Zack's speed (4*9)m²/3h= 12 m²/h

Together for 1 h they paint (20+12) m²/h=32m²/h

Given area (10*12)m²=120 m²

120m² *1h/32m² = 3.75 h (3h 45 min) to paint 10m*12m together.

3 0

4 years ago

LenKa [72]

I'm going to take a guess regarding what you meant to type in:

3x-9 X +6x+5
E(x)= ------- × -------------
2 2
X -9 X +5x+6

3(x+3) 6x+5
becomes E(x) = ----------- * ------------
x-9 5x+6

This cannot be reduced.

Try again to share this problem. Thank you.

7 0

4 years ago

HELP PLSS!!

erma4kov [3.2K]

Answer:

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$