All categories

2 years ago

30 Use the method of completing the square to determine the vertex of f(x) = x² - 14x - 15.

Mathematics

1 answer:

agasfer [191]2 years ago

5 0

Answer:

<h2>x² - 14x - 15 = (x − 7)² − 64</h2><h2>Then the coordinates of the vertex are (7 , -64)</h2>

Step-by-step explanation:

x² - 14x - 15 = x² - 14x + (49 - 49) - 15

= (x² - 14x + 49) - 49 - 15

= (x² - 14x + 7²) - 49 - 15

= (x − 7)² − (49 + 15)

= (x − 7)² − 64

x² - 14x - 15 = (x − 7)² − 64

Then the coordinates of the vertex are (7 , -64)

You might be interested in

What is the simplified form of the following expression?

kogti [31]

Answer:

$\sqrt{3}$

Step-by-step explanation:

We will be using 2 properties of radicals in this simplification (outlined below).

$\sqrt{a*b}=\sqrt{a}* \sqrt{b}$
$\sqrt{a}*\sqrt{a}=a$

<em>Let's simplify this:</em>

$2\sqrt{27} +\sqrt{12} -3\sqrt{3}-2\sqrt{12}\\ =2\sqrt{9*3}+\sqrt{4*3} -3\sqrt{3}-2\sqrt{4*3} \\=2\sqrt{9} \sqrt{3} +\sqrt{4} \sqrt{3}-3\sqrt{3}-2\sqrt{4} \sqrt{3} \\=2(3)\sqrt{3}+(2)\sqrt{3} -3\sqrt{3}-2(2)\sqrt{3} \\ =6\sqrt{3} +2\sqrt{3}-3\sqrt{3}-4\sqrt{3} \\=\sqrt{3}$

First answer choice is right.

5 0

3 years ago

A fair coin is flipped four times. Use a tree diagram to find the probability of observing exactly two heads.

Svetllana [295]

Answer:

0.25

Step-by-step explanation:

6 0

3 years ago

In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings. What is th

cricket20 [7]

Answer: 11

Students have both a brother and a sister

Step-by-step explanation:

I don't think probability should be used for this question because the answer is quite clear

So in a class of 25 students

5 students don't have a sibling

So 25-5=20

Total number of siblings=14+17=31 siblings in total

So 20 people have 31 siblings

31-20=11

So the answer should be 11

5 0

2 years ago

Read 2 more answers

Which expression represents the total number of pages Saul has read, where W represents the number of the weeks since he first s

andrew-mc [135]

Y = 50 + 65w
It would be the second response

7 0

3 years ago

Read 2 more answers

How can you solve:<br> = 30<br> Using the following numbers<br> 1, 3, 5, 7, 9, 11, 13, 15

suter [353]

The numbers you use are
13.5 +13.5 +3 = 30
This is allowed because you can use any number and you can also repeat and in Brazil they right their decimals as 13,5 but in America it’s 13.5

3 0

3 years ago