All categories

3 years ago

The zeros of a quadratic function are 2 and 4 what is the vertex of the function

1 answer:

3 0

The x-coordinate of the vertex is precisely halfway between the given roots 2 and 4; thus, x = (2+4)/2, or x=3. The y-coordinate is the value of the function at this x=3.

We can actually determine the equation of this quadratic from the zeros:

f(x) = (x-2)(x-4), or f(x) = x^2 - 6x + 8. To find the y-coord. of the vertex,, subst. 3 for x in f(x) = x^2 - 6x + 8: f(3) = 3^2 - 6(3) + 8 = 9 - 18 + 8, or -1. Then we know that the vertex is at (3, -1).

You might be interested in

Ryan rolls two fair number cubes labeled 1 through 6. What is the probability that the sum of the two number cubes is 5 or more?

Aleksandr [31]

Answer:

1/3.

Step-by-step explanation:

2 x 6 = 12

1 2 3 4 5 6

4/12 = 1/3

4 0

3 years ago

Read 2 more answers

6n-3>-18 please show work

maxonik [38]

First off, add 3 to both sides of the equation.
6n - 3 + 3 > -18 + 3
Then, your equation should look like this: 6n > -15
Next, divide both sides by 6.
6n/6 > -15/6
Your answer is n > -5/2

6 0

3 years ago

Read 2 more answers

Solve the equation for x. the square root of the quantity x plus 4 end quantity minus 7 equals 1

HACTEHA [7]

Answer:

Step-by-step explanation:

I hope it helps :)

$\sqrt{x+4} -7=1\\\mathrm{Add\:}7\mathrm{\:to\:both\:sides}\\\sqrt{x+4}-7+7=1+7\\\sqrt{x+4}=8\\\mathrm{Square\:both\:sides}\\\left(\sqrt{x+4}\right)^2=8^2\\x+4=64\\x = 64-4\\x = 60$

3 0

3 years ago

£60 is divided between Peter, Angad & Nick so that Peter gets twice as much as Angad, and Angad gets three times as much as

Anna [14]

60£

Peter = 2 Angard

Angard = 3 Nick

Peter = 2 Angard = 6 Nick

Angard = 3 Nick

Nick = 1 Nick

6+3+1=10 Nick

60£/10 = 6£

Nick = 6£

Angvard = 3 Nick = 6£*(3) = 18£

Peter = 6 Nick = 6£*(6) = 36£

(prove: 6+18+36=60£)

3 0

3 years ago

the first box measures 18 inches by 8 inches by 15 inches. the second box is 10 inches tall and the area of the base measures 19

Mandarinka [93]

Answer:

Box 1 has the greater volume, by 200 in³

Step-by-step explanation:

The largest of two volumes can be found by computing each volume and comparing the results.

The volume is computed from dimensions by ...

V = LWH

V = (18 in)(8 in)(15 in) = 2160 in³

The volume is computed from area and height by ...

V = Bh . . . . . where B is the base area, and h is the height

V = (196 in²)(10 in) = 1960 in³

<h3>Comparison</h3>

The units of the two volumes are the same, so we can decide which is larger by comparing the numbers. Box 1 has a volume that is more than 2000 in³, and Box 2 has a volume that is less than 2000 in³.

Box 1 has a greater volume

The amount by which the volume is greater can be found by subtracting the smaller volume from the larger:

2160 in³ -1960 in³ = 200 in³

Box 1 is larger by 200 in³

_____

<em>Additional comment</em>

The percentage by which Box 1 is larger than Box 2 can be found by multiplying 100% by the ratio of the difference to the Box 1 volume:

200/1960 × 100% ≈ 10.2%

Box 1 is about 10% larger than Box 2.

3 0

2 years ago

Read 2 more answers