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andrew11 [14]
3 years ago
14

Graph the functions on the same coordinate plane. f(x)=7 g(x)=x2+2x−8 What are the solutions to the equation f(x)=g(x)? Select e

ach correct answer. −5 −3 3 5 7
Mathematics
1 answer:
yanalaym [24]3 years ago
3 0
You just have to set f(x) = g(x), in this case,
f(x) = 7 
g(x) = x2+2x-8
so
7 = x2+2x-8
Doing a bit of mathematcial magic, you get 
x2+2x-15=0 you can now graph this equation
In doing so, you get x = -5 and x = 3.
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Sadie simplified the expression √54a^7b^3, where a>=0, as shown: √54a^7b^3= √3^2•6•a^2•a^5•b^2•b=3ab √6a^5b
Tamiku [17]

Answer:

We are to find the error made by Sadie and then find the correct simplification.

The error Sadie made is that she wrote a^7 as a^2 * a^5 instead of a^6 * a.

The square root of a^6 is a^3 and so she could have further simplified.

The correct simplification is shown below:

\sqrt{54a^7b^3} = \sqrt{2 * 3 * 3 * 3 * a^6 * a * b^2 * b} \\  \\= \sqrt{3^2 * a^6 * b^2 * 6 * a * b} \\\\= 3a^3b\sqrt{6ab}

4 0
3 years ago
Ken had 5 math quizzes in a month.
Mnenie [13.5K]

Answer:

Choose the top right one.

Step-by-step explanation:

hoped i helped i really hope i helped. can you please please give me crown  as well?

8 0
1 year ago
Read 2 more answers
How many times smaller is 2 × 10^-10 than 4 × 10^-5
natta225 [31]

Answer:

200,000

Step-by-step explanation:

To find how many times smaller is smaller number than greater number, divide greater number by smaller number.

Greater number =4\times 10^{-5}

Smaller number =2\times 10^{-10}

Then

\dfrac{\text{Greater number}}{\text{Smaller number}}\\ \\=\dfrac{4\times 10^{-5}}{2\times 10^{-10}}\\ \\=\dfrac{4}{2}\times \dfrac{10^{-5}}{10^{-10}}\\ \\=2\times \dfrac{1}{10^{-5}}\\ \\=2\times 10^5\\ \\=2\times 100,000\\ \\=200,000

7 0
3 years ago
2x^2+5x+3/x^2-3x-4 divided by 4x^2+2x-6/x^2-8x+16
Masja [62]

Answer: \frac{x-4}{2x-2}

Step-by-step explanation:

\frac{2x^2+5x+3}{x^2-3x-4} divided by \frac{4x^2+2x-6}{x^2-8x+16} is the same thing as multiplying \frac{2x^2+5x+3}{x^2-3x-4} by \frac{x^2-8x+16}{4x^2+2x-6}.

The equation we get is:

\frac{2x^2+5x+3}{x^2-3x-4}*\frac{x^2-8x+16}{4x^2+2x-6}

With this equation, we can factor each equation:

\frac{(x+1)(2x+3)}{(x+1)(x-4)} *\frac{(x-4)(x-4)}{2(x-1)(2x+3)}

We can cancel out like terms since they would be dividing each other:

\frac{x-4}{2x-2}

8 0
3 years ago
(plz helppp !) A triangular prism has base edges 4cm, 5cm, and 7cm long. it’s lateral area is 353cm2 what is the height of the p
Oksanka [162]

Answer:

22.0625

Step-by-step explanation:

Lateral surface area formula: (a+b+c)h=L

(4+5+7)h=L

(16)h=353

16h=353

h=22.0625

Hope this helps!

8 0
3 years ago
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