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4 years ago

Which of the following is not a function?

Mathematics

1 answer:

stepladder [879]4 years ago

4 0

Answer:

Step-by-step explanation:

d is not a function because if you do the vertical test for d

the line goes through it twice and if it goes through it twice it means it's not a function, D did not pass the vertical test

I put two pictures so you can see the difference. it shows you if it passed the vertical tesft or not. if you do not know abt the vertical test, you will learn abt it soon. a vertical test is very helpful to find out if it is a function or not. THE VERTICAL TEST CAN ONLY BE USED ON GRAPHS nothing more. I hope I helped.

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Quadratic Functions Put the equationy = x^2 + 14a + 40 into the form y = (x - h )^2 + k: Answer: y Preview Get help: Video Poins

Setler [38]

Answer: y=(x+7)^2-9 where h=-7 and k=-9

Step-by-step explanation:

We need to "complete the square",

A perfect square trinomial formule is:

(a+b)^{2}=a+2ab+b^{2}

in this case, a is x and to find -h we know that 14x is 2*x*(-h) so:

14x=2*x*(-h)

14x/2x=-h (x is simplified)

7=-h => h=-7

we add +7^2 and -7^2, to the first equation:

y= <u>x^2 + 14x + 7^2</u> -7^2 + 40 (the underlined section is a perfect square trinomial already)

y=(x+7)^2 <u>-49 +40</u> (addition)

y= (x+7)^2 - 9

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4 years ago

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3 years ago

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Vsevolod [243]

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3 years ago

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Angle angle B is half the size of angle a the measure of angle C is equal to 1 less than 2 times the measure of angle B the sum

marishachu [46]

Answer: No, the angles cannot form a triangle.

Step-by-step explanation:

Angle angle B is half the size of angle A. This means that

A = 2B

The measure of angle C is equal to 1 less than 2 times the measure of angle B. This means that

C = 2B - 1

The sum of the angle A and angle B is 114. This means that

A+B = 114

Substituting A = 2B into (A+B = 114), it becomes

2B + B = 114

3B = 114

B = 114/3 = 38 degrees

A = 114 - 38 = 76

C = 2B - 1

C = 2×38 - 1 = 76 - 1

C = 75

Recall, sum of angles in a triangle is 180 degrees. This means that

A + B+ C = 180 degrees. T

Therefore, if we add add angle A, angle B and angle C, it becomes

76 + 38 + 75 = 189 degrees

The sum is more than the sum of the angles in a triangle. Therefore, the angles cannot form a triangle.

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4 years ago