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3 years ago

When x increases from a to a + 2, y increases by a difference of 8. For which functions is this statement true?

Mathematics

1 answer:

lord [1]3 years ago

6 0

Answer:

That would be Option C.

Step-by-step explanation:

Lets look at y = 4x + 2:-

Let x = a then y = 4a + 2

Now if x in creases to a +2, y = 4(a +2) + 2 = 4a + 8 + 2

= 4a + 10.

(4a + 10) - (4a + 2) = 8 , so this is the required expression, y = 4x + 2.

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Put the quadratic into vertex form and state the coordinates of the vertex. y= y= \,\,x^2-6x-3 x 2 −6x−3

enot [183]

Answer:

$y = (x - 3)^2 - 12$

$(3,-12)$

Step-by-step explanation:

Given

$y = x^2 - 6x - 3$

Solving (a): In vertex form

The vertex form of an equation is:

$y = a(x - h)^2 + k$

To do this, we make use of completing the square method.

We have:

$y = x^2 - 6x - 3$

------------------------------------------------------------------

Take the coefficient of x (i.e. -6)

Divide by 2; -6/2 = -3

Square it: (-3)^2 = 9

Add and subtract the result to the equation

------------------------------------------------------------------

$y = x^2 - 6x - 3$

$y = x^2 - 6x + 9 - 9 - 3$

$y = x^2 - 6x + 9 - 12$

Factorize $x^2 - 6x + 9$

$y = x^2 - 3x-3x + 9 - 12$

$y = x(x - 3)-3(x - 3) - 12$

Factor out x - 3

$y = (x - 3)(x - 3) - 12$

Express as squares

$y = (x - 3)^2 - 12$

Hence, the vertex form of $y = x^2 - 6x - 3$ is: $y = (x - 3)^2 - 12$

Solving (b): State the coordinates of the vertex.

In $y = a(x - h)^2 + k$ ; the vertex is: (h,k)

The vertex of $y = (x - 3)^2 - 12$ will be $(3,-12)$

3 0

3 years ago

Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x-3)?

erastovalidia [21]

Which point is an x-intercept of the quadratic function

f(x) = (x + 6)(x - 3)? THE ANSWER IS D.

8 0

3 years ago

It’s not a or c help

Luden [163]

Answer:

D if i'm wrong i'm so sorry

Step-by-step explanation:

6 0

3 years ago

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Divide 7/15 by 3/5. <br> A. 75/21<br> B. 7/9<br> C. 7/25<br> D. 21/75

Digiron [165]

In this question there is nothing complicated. Only thing is to know the way fractions can be divided. Once that is known the problem would be one of the easiest to solve. Now let us get back to the problem and look at all the information's that are given in the question.
Divide 7/15 by 3/5 = (7/15)/(3/5)
      = (7 * 5)/(15 * 3)
   = (35/45)
Dividing the numerator and the denominator by 5 for simplifying purpose, we get
   = 7/9
So from the above deduction we can easily conclude that 7/9 is the correct answer and option "B" is the correct option among all the options given in the question.

5 0

3 years ago

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Passes through ( 4, 2), parallel to y = x + 5

Hoochie [10]

Answer:

y = x - 2

Step-by-step explanation:

You can subtract 4 from the x and y to get where the y-intercept would be.

8 0

4 years ago

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