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3 years ago

What is the vertex of g(x)=8x^2-64x

2 answers:

8 0

The (x,y) point of the vertex is usually labelled as:
Vertex = (h, k)
h = -b / 2a
h = --64 / 2*8
h = 64 / 16
h = 4


To get “k”, input the “h” value into the equation.
k = 8*(4^2) -64*4
 k = 8*(4^2) -64*4
k = 128 -256
k = -128
Vertex = (4, -128)

Shkiper50 [21]3 years ago

5 0

Answer:

Vertex = (4, -128)

Step-by-step explanation:

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Yanka [14]

Answer:

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Step-by-step explanation:

3 0

3 years ago

A company offers four plans for customers who want to rent DVDs and video games. The cost of the plans can be modeled by a linea

Luba_88 [7]

To solve this, we are going to use the slope formula, and the point slope formula.
Slope formula: $m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
where
$m$ is the slope.
$(x_{1},y_{1})$ are the coordinates of the first point.
$(x_{2},y_{2})$ are the coordinates of the first point.
Point-slope formula: $y-y_{1}=m(x-x_{1})$

Plan A. Coordinates of the first point: (1,14) (number of discs, cost). Coordinates of the second point: (2,17). Lets replace those values in our slope formula:
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m= \frac{17-14}{2-1}$
$m=3$
Now that we have the slope, we can use the point slope formula:
$y-y_{1}=m(x-x_{1})$
$y-14=3(x-1)$
$y-14=3x-3$
$y=3x+11$
Remember that in a linear equation of the form $y=mx+b$ , $m$ is the slope and $b$ is the y-intercept. In our model the y-intercept is the membership fee.
Since $b=11$ in our linear equation, we can conclude that the membership fee is $11

Plan B. Coordinates of the first point (1,12). Coordinates of the second point (2,16).
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m= \frac{16-12}{2-1}$
$m=4$
$y-y_{1}=m(x-x_{1})$
$y-12=4(x-1)$
$y-12=4x-4$
$y=4x+8$
Membership fee: $8

Plan C. Coordinates of the first point: (1,10). Coordinates of the second point: (2,15).
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m= \frac{15-10}{2-1}$
$m=5$
$y-y_{1}=m(x-x_{1})$
$y-10=5(x-1)$
$y-10=5x-5$
$y=5x+5$
Membership fee: $5

Part D. Coordinates of the first point: (1,12). Coordinates of the second point (2,21).
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m= \frac{21-12}{2-1}$
$m=9$
$y-y_{1}=m(x-x_{1})$
$y-12=9(x-1)$
$y-12=9x-9$
$y=9x+3$
Membership fee: $3

We can conclude that the plan that has the smallest one-time membership is Plan D.

6 0

3 years ago

Read 2 more answers

Louann and Carla received equal scores on a test made up of multiple choice questions and an essay. Louann got 14 multiple choic

alexgriva [62]

Each multiple choice question would be 5 points. For Louann she got 14 of the questions correct so 5 x 14 = 70 and 70 + 24 would be 94. For Carla she got 16 of the questions correct so 5 x 16 = 80 and 80 + 14 = 94. You're answer would be 5, hopefully this helps :)

5 0

3 years ago

How many tens make 40 + 50

Genrish500 [490]

It would be 5 tens + 4 tens = 9 tens

5 0

3 years ago

Martha wrote an example of a quadratic function for a homework assignment. The function she wrote is shown. f(x) = 5x3 + 2x2 + 7

larisa86 [58]

Answer:

The two correct options are:

The first term, 5x³, can be eliminated

The exponent on the first term, 5x³, can be changed to 2 and then combined with the second term, 2x²

Explanation:

The degree of an expression is given based on the highest power in the expression

The given expression is:

5x³ + 2x² + 7x - 3

We can note that the highest power in the given expression is 3 which means that the degree of the expression is 3

A quadratic function is a function of degree 2. This means that the highest degree in the expression (function) must be 2

Accordingly, Martha should get rid of the term with power 3 (5x³) in her equation

This can be done by 2 methods:

1- She simply eliminates the term with the third degree

2- She changes the degree of the term with degree 3 to a lower degree and combines it with any existent like term

Comparing the above with the given options, we can conclude that the two correct options are:

- The first term, 5x³, can be eliminated

- The exponent on the first term, 5x³, can be changed to 2 and then combined with the second term, 2x²

Hope this helps :)

6 0

3 years ago

Read 2 more answers