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taurus [48]
3 years ago
13

What is the vertex of the quadratic function f(x) = (x - 3)(x - 2)? D

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
5 0

Answer:

Step-by-step explanation:

Get the equation in the form y = ax2 + bx + c.

Calculate -b / 2a. This is the x-coordinate of the vertex.

To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.

- that's how you find the vertex of the quadratic function-

You might be interested in
Kevin made 4 of his 6 shots on goal at soccer practice.
mafiozo [28]

Answer:

48

Step-by-step explanation:

4/6 = 2/3

2/3 times 72 = 48

8 0
3 years ago
Which inequality represents the value of x that ensures triangle abc exists?
olasank [31]

Answer:

Option A.

Step-by-step explanation:

According to triangle inequality theorem, a triangle exists if the sum of two sides is greater that third side.

Apply this theorem on each combination.

Case I: (2x+4)+6x>18

8x+4>18

8x>14

x>\dfrac{14}{8}

x>\dfrac{7}{4}      ...(1)

Case II: (2x+4)+18>6x

2x+22>6x

22>4x

\dfrac{22}{4}>x

\dfrac{11}{2}>x     ...(2)

Case III: 6x+18>2x+4

6x-2x>4-18

4x>-14

x>-\dfrac{14}{4}

x>-\dfrac{7}{2}     ...(3)

On combining (1), (2) and (3), we get

\dfrac{7}{4}

Therefore, the correct option is A.

3 0
3 years ago
In September, Shalee had some money in her bank account. In October she earned $48.24 and put it in her account. In November she
sasho [114]

Answer:

x = $42.8

Step-by-step explanation:

Let

Amount of money shalee has in Sept = $x

Shalee October earnings = $48.24

Total money = $x + $48.24

She spent 3/4 of the money on dress

3/4 of (x + 48.24) = $68.28

3/4 * x + 48.24 = 68.28

3/4x + 144.72/4 = 68.28

3/4x + 36.18 = 68.28

3/4x = 68.28 - 36.18

3/4x = 32.10

x = 32.10 ÷ 3/4

= 32.10 × 4/3

= 128.4/3

= 42.8

x = $42.8

4 0
3 years ago
Jones assembles 200 relays in the same time that Smith assembles 180. When Jones has completed 300 relays, how many will Smith h
Finger [1]

Answer:

270

Step-by-step explanation:

Jones turns out 200 relays to Smith's 180. You set up that basic ratio and make a proportion out of it.

S/J = 180/200

Now you make your proportion

S/J = x/300

But the 2 ratios much remain the same.

180/200 = x / 300                  Multiply both sides by 300

180*300/200 = x                    Multiply the numerator together.

54000/200 = x                       Do the division

270 = x

Smith will have turned out 270 relays.

4 0
3 years ago
BEING TIMED
kotegsom [21]

Answer:

(5,2)

Step-by-step explanation:

you need to go two half way from the farthest point from the left to the right so that would be from 2 to 8 which is a distance of 6 so you go halfway over and that puts you at 5 then you find the distance from the lowest point to the highest point which goes from -2 to 6 with a distance of 8 so that means you go up for which puts you at 2 which means the center of the triangle is at the point (5, 2)

4 0
4 years ago
Read 2 more answers
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