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LenaWriter [7]
3 years ago
7

The equation y=4x+4 estimates the number of U.S. households, in millions, expected to install devices that receive and manage br

oadband TV and Internet content to the home, where x is the number of years after 2005. For what years will there be at least 40 million homes with these devices? Write your answer as an inequality involving x.
Mathematics
1 answer:
Pepsi [2]3 years ago
7 0

Answer:

X ≥9 years after 2009.

Step-by-step explanation:

Y=4x+4

Y-4=4x

X=(Y-4)/4

Y=number of U.S. households, in millions.

Y≥40

Y-4≥36

(Y-4)/4≥9

So, X≥9.

You might be interested in
Milan drove 754 miles in 13 hours.
Hoochie [10]

In order to find this answer, you need to know how much miles he drives on one hour.

The steps are down below

1. Find how much he drives in one hour

754/ 13=58

he drives 58 miles every hour

now you do 464/ 58 which you get 8.

Thefore the answer is 8.

I hope this helped.

If it is wrong, blame me i have not done them in a long time.

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=9%28x%2B1%29%20-4x%20%3D%205-%28x-3%29" id="TexFormula1" title="9(x+1) -4x = 5-(x-3)" alt="9(x
nekit [7.7K]

Answer:

x=\frac{-1}{6}

Step-by-step explanation:

9(x+1) -4x = 5-(x-3)

9(x+1) -4x = 5-(x-3) \\

9x+9\cdot1-4x=5-\left(x-3\right)

9x+9-4x=5-\left(x-3\right)

\left(9x-4x\right)+9=5-\left(x-3\right)

5x+9=5-\left(x-3\right)

5x+9=5-x+3

5x+9=-x+\left(5+3\right)

5x+9=-x+8

5x+9=-x+8

5x+9+x=-x+8+x

5x+x+9=-x+8+x

6x+9=-x+8+x

6x+9=-x+x+8

6x+9=8

6x+9=8

6x+9-9=8-9

6x=8-9

6x=-1

\frac{6x}{6}=\frac{-1}{6}

x=\frac{-1}{6}

4 0
3 years ago
When factoring 16x2 -
rewona [7]

Answer:

we conclude that the first step is to find the greatest common factor (GCF).

Hence, option C is correct.

Step-by-step explanation:

16x^2\:-36

As 4 is the greatest common factor of the expression, so factor out common term 4:

i.e.

16x^2\:-36=4\left(4x^2-9\right)

Thus, the first step is to find the greatest common factor (GCF)

Now, solving the remaining portion

16x^2\:-36=4\left(4x^2-9\right)

as (2x+3) and (2x-3) are the factors of (4x²-9)

i.e. (4x²-9) = (2x+3) (2x-3)

Thus, the expression becomes

16x^2\:-36=4\left(2x+3\right)\left(2x-3\right)

Therefore, we conclude that the first step is to find the greatest common factor (GCF).

Hence, option C is correct.

8 0
3 years ago
What is the volume of this figure?
umka2103 [35]

Answer:216

Step-by-step explanation:

5 0
2 years ago
Sum of odd numbers from 1 to 100?
Igoryamba

Series would be: 1,3,5......99

Here, a=1, d = 3-1 = 2, l = 99

l = a+(n-1)d

99 = 1+(n-1)2

98 = 2n-2

2n = 100

n = 50

Sum would be Sn = n/2 (a+l)

 50/2 (1+99)

 25(100) = 2500

So, your answer is 2500

4 0
3 years ago
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