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saul85 [17]
2 years ago
8

The function is defined below g(x)= (x^2+4x-5)/(x^2-7x+12 Find all values of that are NOT in the domain of . If there is more th

an one value, separate them with commas.
Mathematics
1 answer:
blagie [28]2 years ago
5 0

Answer:

3,4.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

In this question:

The function is:

g(x) = \frac{x^2+4x-5}{x^2-7x+12}

In a fraction, the values not in domain are the values for which the denominator is 0.

Find all values of that are NOT in the domain of g.

It will not be in domain if the denominator is 0. So

x^2 - 7x + 12 = 0

That is, a quadratic equation with a = 1, b = -7, c = 12

\Delta = (-7)^{2} - 4(1)(12) = 49 - 48 = 1

x_{1} = \frac{-(-7) + \sqrt{1}}{2(1)} = 4

x_{2} = \frac{-(7) - \sqrt{1}}{2(1)} = 3

The values are 3 and 4, so the answer is 3,4.

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Yesterday in Juneau, Alaska it was -20 degrees and in San Diego, California it was 75 degrees. What was the difference in temper
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Answer: d) 95 degrees

Step-by-step explanation:

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2 years ago
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A kitchen makes 2944 ounces of soup each week. There are 128 ounces in one gallon. How many gallons of soup does the kitchen mak
zhannawk [14.2K]
Step 1:
Find number of gallons in one week
Total oz ÷ oz per gallon= gallons
=2944/128
= 23 gallons in one week

Step 2:
Multiply gallons made in one week by two.
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Hope this helps! :)
3 0
3 years ago
Which is the greatest common factor of 8x7, and 24x5y3
Doss [256]

Answer:

You would be correct the GCF is 8x^5.

Step by Step Explanation:

So the GCF is basically a value that can go into or be factored out of two or more other numbers.

For instance, the greatest common factor of 10 and 20 is 10, since 10 is the greatest number that goes into 10 and 20 resulting in a integer.

Its a bit different with variables and exponents.

For instance, normally a number needs to be able to be divided nicely by the GCF. In exponents, the lowest exponent is the one you use.

If you had x^4 x^6 x^8, the GCF is x^4. It doesnt need to divide each exponent, but needs to be able to be subtracted by it,

You can think of it like how division and multiplication works with exponents.

With variables, it is similar to normal numbers.

The coefficent of the GCF must go into the coefifcent of the variables.

The variables also have to be the same, for instance x can never have a GCF of y.

So remembering this, lets find the GCF of your problem

We see the expoent of the first number is 7. The exponent of the other is 5.

Because we look at the lowest exponent as the GCF, the exponent 5 would be the GCF of the two values.

Then looking at the 8x and 24x, we know that 8x must be the GCF, since 8 equally divides between the 8 and 24, and they both have a x.

So combining the 5 exponent and the 8x:

8x^5

So this is your answer.

4 0
3 years ago
Plsssss help me!!! Find the y-intercept of the rational function. A rational function is graphed in the first quadrant, and in t
SSSSS [86.1K]

Answer:

The y-intercept is (0,-2)

Step-by-step explanation:

we know that

The <u><em>x-intercept</em></u> is the value of x when the value of y is equal to zero

The <u><em>y-intercept</em></u> is the value of y when the value of x is equal to zero

In this problem we have that

The graph crosses the x axis at negative 10 and crosses the y axis at negative 2.

therefore

The x-intercept is the point (-10,0) and the y-intercept is the point (0,-2)

6 0
2 years ago
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