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gavmur [86]
3 years ago
11

6.

Mathematics
2 answers:
Nimfa-mama [501]3 years ago
5 0

Let's call our number <em>x</em>.

So we can setup the equation x² = 100.

To solve this equation, we square root both sides.

So we have x = ±10.

Always use plus or minus when square rooting both sides

of an equation so our answer is not only 10, it's also -10.

Annette [7]3 years ago
5 0

Answer:

the answer is 3.162

Step-by-step explanation:

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Find fg(x) <br><img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%202" id="TexFormula1" title="f(x
Kipish [7]

Answer:

f(g(x)) = x^4 + 12x^3 + 14x^2 -132x + 123

Step-by-step explanation:

Here, we simply will place g(x) into f(x)

So every x in f(x) is replaced by g(x)

Thus, we have;

(x^2 + 6x + 11)^2 + 2

= (x^2+6x-11)(x^2 + 6x -11) + 2

= x^4 + 6x^3 -11x^2 + 6x^3 + 36x^2 - 66x -11x^2 -66x + 121 + 2

= x^4 + 12x^3 + 14x^2 -132x + 123

7 0
2 years ago
For the graphed function f(x) = -(5)* - 3 + 2, calculate the average rate of change from x = 3 to x = 4.
Ilia_Sergeevich [38]

Answer:

-4

Step-by-step explanation:

The average rate of change from x=a to x=b of f(x) is \frac{f(b)-f(a)}{b-a}

The given function is f(x)=-5^{x-3}+2.

f(4)=-5^{4-3}+2=-3.

f(4)=-5^{3-3}+2=1.

The average rate of change from x=3 to x=4 is given by:

\frac{f(4)-f(3)}{4-3}

\frac{-3-1}{4-3}=-4

7 0
3 years ago
You salary 25000 with 2.5 increase
Readme [11.4K]

Answer:

25,625

Step-by-step explanation:

If your current salary is the 100%, and you get a 2.5% increase, that means the new salary would be 102.5% of 25,000. This percentage could also be written as 1.025, which you would multiply to 25,000 to get your new salary.

1.025 · 25,000 = 25,625

Therefore, your new salary would be $25,625

4 0
2 years ago
I leave my family's vacation cabin at 8 a.m. and start driving home at a nice, safe 45 mph. Two hours later, my husband, who alw
Murljashka [212]

Answer:

2:30 pm

Step-by-step explanation:

In two hours (from 10am), she is 45 * 2 = 90 miles from vacation cabin.

From then on her average is still 45 mph and her husband's is 65 mph. So, husband catches her 20 miles (65-45=20) in every hour.

<em>The husband has to catch up 90 miles. How long would it take if he is catching up at 20 miles an hour?</em>

<em>90/20 = 4.5 hours</em>

<em />

<em>So husband starts at 10am and 4.5 hours form that time is 2.30pm</em>

6 0
3 years ago
Find all values of k so that each trinomial <br> 2 x^2+ kx+12
n200080 [17]
K can be 10,11,14,25

Work
(2x+4)(X+3)
(2x+3(X+4)
(2x+6)(X+2)
(2x+2)(X+6)
(2x+1)(X+12)
(2x+12)(X+1)
6 0
3 years ago
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