All categories

4 years ago

What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x + 12?

1 answer:

jeka944 years ago

5 0

Well, we need to solve the inequality in terms of x...

-3(6-2x)≥4x+12 carry out indicated multiplication on left side

-18+6x≥4x+12 subtract 4x from both sides

-18+2x≥12 add 18 to both sides

2x≥30 divide both sides by 2

x≥15, in interval notation:

x=[15, +oo)

You might be interested in

The archway to the entrance of an art gallery can be model by y= -1/3(x-5)(x+5) where x and y are measured in feet. The x-axis r

NikAS [45]

Answer:

x=5 feet

Step-by-step explanation:

At floor level y=0

If the expression is:

$0=1/3(x-5)(x+5)\\0=1/3(x^2-25)\\0=1/3x^2-25/3\\25/3=1/3x^2\\25=x^2\\x=5$

But, with the negative sign, the answer is x= 5i (where i is imaginary)

3 0

3 years ago

40% of what number is 74?

user100 [1]

Answer:

185

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

If the gradient of a line, A, is 4, what is the gradient of a line which is perpendicular to A?

Ne4ueva [31]

Answer:

m = - 1/4

Step-by-step explanation:

When two line is perpendicular to each other the product of them is - 1

So let the other line be B

Gradient of B = t

Gradient of A = 4

$t \times 4 = - 1 \\ t = - \frac{1}{4}$

therefore m = - 1/4

8 0

2 years ago

A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using a

givi [52]

Answer:

8 is the side length of the greater square. 100=x^2+(x-2)^2

Step-by-step explanation:

64+36=100

8 squared plus 6 squared equals 10 squared

8 is 2 more than 6

100=x^2 +y^2

x-y=2

100=x^2+(x-2)^2

7 0

3 years ago

1+1=hfgdvfhftftfrgrggg

Margarita [4]

Answer:

hfgdvfhftftfrgrggg equals 2

Step-by-step explanation:

Imagine you have one apple on your left hand. Your friend just gave your another apple. Now, you have two apples. So, the hfgdvfhftftfrgrggg would be 2.

5 0

3 years ago

Read 2 more answers