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KiRa [710]
3 years ago
10

What is x for x^2+2 and y=-3

Mathematics
1 answer:
Igoryamba3 years ago
3 0
Hello there! Below this is an attachment of my work for this question and how to solve for it. Allow me to convert my explanation here.

What we are dealing with is called "Composition of Functions", or at least I call it that.
Primarily, we are given the function "g(x)", which just means "G of x".
Whenever we have a problem that states "Find G(#)", we are replacing every single "x" with the number in the given function.

For example;
f(x) = 4x + 2, find f(2)

Replace "x" with 2.

f(2) = 4(2) + 2
f(2) = 8 + 2
f(2) = 10 is your answer.

Hopefully, we now understand our concept of solving this problem.

Take a look into my answer below on paper. Please advise me of any miscalculations or misunderstandings you may find, and I will try my best to elucidate my answer. 

I hope this helps!

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Rewrite y = x2 + x - 20 in factorized form.
Tcecarenko [31]

Answer:

y = x2 + x - 20 factors into

y = (x +5) * (x -4)

Step-by-step explanation:

3 0
3 years ago
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Which should be calculated first to solve this story problem?
Elden [556K]
The answer would be a because of the time he is at the gym just add and subtract but the answer is a
5 0
4 years ago
A rectangle has width that is 6 meters less than the length. The area of the rectangle is 280 square meters. Find the dimensions
salantis [7]

Dimensions are length 20 meter and width 14 meter

<em><u>Solution:</u></em>

Let "a" be the length of rectangle

Let "b" be the width of rectangle

Given that,

<em><u>A rectangle has width that is 6 meters less than the length</u></em>

Width = length - 6

b = a - 6

The area of the rectangle is 280 square meters

<em><u>The area of the rectangle is given by formula:</u></em>

Area = length \times width

<em><u>Substituting the values we get,</u></em>

Area = a \times (a-6)\\\\280 = a^2-6a\\\\a^2-6a -280=0

<em><u>Solve the above equation by quadratic formula</u></em>

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=1,\:b=-6,\:c=-280:\quad a_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\left(-280\right)}}{2\cdot \:1}

a =\frac{6 \pm \sqrt{36+1120}}{2}\\\\a = \frac{6 \pm \sqrt{1156}}{2}\\\\a = \frac{6 \pm 34}{2}\\\\Thus\ we\ have\ two\ solutions\\\\a = \frac{6+34}{2} \text{ or } a = \frac{6-34}{2}\\\\a = 20 \text{ or } a = -14

Since, length cannot be negative, ignore a = -14

<em><u>Thus solution of length is a = 20</u></em>

Therefore,

width = length - 6

width = 20 - 6 = 14

Thus dimensions are length 20 meter and width 14 meter

6 0
4 years ago
Carlos is making some observations from the roof of a building. Which angle is the angle of elevation from Carlos to the helicop
Komok [63]
From the given Image :
mkl is the angel of <span>elevation from Carlos to the helicopter.</span>

3 0
3 years ago
A certain star is 2.4 x 102 light years from the Earth. One light year is about 5.9 x 1012 miles. How far
Studentka2010 [4]

Answer:

2.5 x 10^{15} miles

Step-by-step explanation:

We are given that 1 light year ≈ 5.9 x 10^{12} miles so:

  • 4.3 x 10² light year · <u>5.9 x </u>10^{12}<u> miles </u>                                                                                                
  •                                    1 light year

Multiply 4.3 an 5.9 and round to 2 significant digits then add the exponents:

                                              ≈25 x 10^{14}

This is not the scientific notation since the number is not between 0 and 10 so we move the decimal point by 1 place to the left. We then add 1 to the exponent to obtain the final answer:

                                                  ≈ 2.5 x 10^{15} miles

6 0
3 years ago
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