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Anastaziya [24]
3 years ago
11

Explain why the equation (x-4)2-28=8

Mathematics
1 answer:
Alex17521 [72]3 years ago
8 0

Answer:

x=10 or x=-2

Step-by-step explanation:

add 28 to both sides

(x-4)^2=36

sqrt both sides

remember to get positive and negative roots

x-4=+/-6

add 4 to both sides

x=4+/-6

x=4+6 or x=4-6

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100-point Question!!!
FrozenT [24]

Answer:

Two or more independent functions (say f(x) and g(x)) can be combined to generate a new function (say g(x)) using any of the following approach.

h(x) = f(x) + g(x)h(x)=f(x)+g(x) h(x) = f(x) - g(x)h(x)=f(x)−g(x)

h(x) = \frac{f(x)}{g(x)}h(x)=

g(x)

f(x)

h(x) = f(g(x))h(x)=f(g(x))

And many more.

The approach or formula to use depends on the question.

In this case, the combined function is:

f(x) = 75+ 10xf(x)=75+10x

The savings function is given as

s(x) = 85s(x)=85

The allowance function is given as:

a(x) = 10(x - 1)a(x)=10(x−1)

The new function that combined his savings and his allowances is calculated as:

f(x) = s(x) + a(x)f(x)=s(x)+a(x)

Substitute values for s(x) and a(x)

f(x) = 85 + 10(x - 1)f(x)=85+10(x−1)

Open bracket

f(x) = 85 + 10x - 10f(x)=85+10x−10

Collect like terms

mark as brainiest

f(x) = 85 - 10+ 10xf(x)=85−10+10x

f(x) = 75+ 10xf(x)=75+10x

4 0
2 years ago
Complete the table below for the function y = 5x - 2.
Jlenok [28]

Answer:

8, 18, 23, 43

Step-by-step explanation:

x = 2 => y = 8

x = 4 => y = 18

x = 5 => y = 23

x = 9 => y = 43

6 0
3 years ago
A coin collector has $45 in just dimes and quarters in a piggy bank he counted all the coins and there are 240 total how many ea
Whitepunk [10]

Answer:

The number of <u>dimes are 100</u> and number of <u>quarters are 140.</u>

Step-by-step explanation:

Let the number of dimes be 'd' and quarters be 'q'.

Given:

The sum of amount is $45.

The total number of coins are 240.

1 dime = $0.10

∴ 'd' dimes = \$0.10d

1 quarter = $0.25

∴ 'q' quarters = \$0.25q

Now, as per question:

d+m=240-----1\\0.1d+0.25q=45---2

Multiplying equation (1) by -0.1 and adding the result to equation (2), we get:

-0.1d-0.1q=240\times -0.1\\-0.1d-0.1q=-24\\0.1d+0.25q=45\\-----------\\0.15q=21\\q=\frac{21}{0.15}=140\\\\d=240-q=240-140=100

Therefore, the number of dimes are 100 and number of quarters are 140.

7 0
3 years ago
Does anyone know this? Needed ASAP
anzhelika [568]

Answer:

50 square units

Step-by-step explanation:

Using the formula provided, a = \frac{1}{2}h(b_1+b_2), substituting the height (5), b1 (8) and b2 (12), we can solve for the formula.

a = \frac{1}{2}\cdot5(8+12)\\\\a = \frac{1}{2}\cdot5(20)\\\\a = \frac{1}{2}100\\\\a = 50

Hope this helped!

4 0
3 years ago
Read 2 more answers
I ned help on homework pls help
zmey [24]

Answer:

Step-by-step explanation:

4 0
3 years ago
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