All categories

3 years ago

Which number line represents the solution set for the inequality –4(x + 3) ≤ –2 – 2x?

Mathematics

2 answers:

andrew-mc [135]3 years ago

7 0

The answer is> -5.....

const2013 [10]3 years ago

4 0

-4(x + 3) < = -2 - 2x
-4x - 12 < = -2 - 2x
-4x + 2x < = -2 + 12
-2x < = 10
x > = -5

the correct number line will have closed circle on -5 with shading to the right

You might be interested in

Find the value of each variable

yanalaym [24]

Answer:

i think teh value of each variable is 45.

Step-by-step explanation:

7 0

3 years ago

Plz help me with this

AnnZ [28]

Answer: $\bold{A)\quad y=5sin\bigg(\dfrac{6}{5}x-\pi\bigg)-4}$

<u>Step-by-step explanation:</u>

The general form of a sin/cos function is: y = A sin/cos (Bx-C) + D where the period (P) = 2π ÷ B

In the given function, $B=\dfrac{6}{5}$ → $P=2\pi \cdot \dfrac{5}{6}=\dfrac{10\pi}{3}$

Half of that period is: $\dfrac{1}{2}\cdot \dfrac{10\pi}{3}=\large\boxed{\dfrac{5\pi}{3}}$

Calculate the period for each of the options to find a match:

$A)\quad B=\dfrac{6}{5}:\quad 2\pi \div \dfrac{6}{5}=2\pi \cdot \dfrac{5}{6}=\dfrac{5\pi}{3}\quad \leftarrow\text{THIS WORKS!}\\\\\\B)\quad B=\dfrac{6}{10}:\quad 2\pi \div \dfrac{6}{10}=2\pi \cdot \dfrac{10}{6}=\dfrac{10\pi}{3}\\\\\\C)\quad B=\dfrac{5}{6}:\quad 2\pi \div \dfrac{5}{6}=2\pi \cdot \dfrac{6}{5}=\dfrac{12\pi}{5}\\\\\\D)\quad B=\dfrac{3}{10}:\quad 2\pi \div \dfrac{3}{10}=2\pi \cdot \dfrac{10}{3}=\dfrac{20\pi}{3}$

7 0

3 years ago

Write a proportion for 56% of a number is 244

Misha Larkins [42]

$\frac{56}{100} = \frac{244}{x}$ So, You cross multiply and get 56x=244(100). Simplify and you get 56x=24400. Divide each side by 56 and you get 435.71. 56% of about 435.71 is 244.

6 0

3 years ago

Factor 10x3 + 8x2 - 6x.

valkas [14]

We notice a factor of 2x in both 2x(5x^2+4x-3) trial and error (5x-3)(x+1) yeilds 5x^2+2x-3, nope (5x+3)(x-1) yeilds 5x^2-2x-3, nope (5x-1)(x+3) yeilds 5x^2+14x-3, nope (5x+1)(x-3) yeilds 5x^2-14x-3, nope simplest form is 2x(5x^2+4x-3)

6 0

3 years ago

Please help select both answers!!

krok68 [10]

I think it would be the first one? 2 units to the left of g(x).

5 0

3 years ago

Read 2 more answers