Ask question

Ask question

All categories

3 years ago

15

Y=x2 +6x-2

1 answer:

alisha [4.7K]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

y = x² + 6x - 2

To complete the square

add/ subtract ( half the coefficient of the x- term )² to x² + 6x

y = x² + 2(3)x + 9 - 9 - 2

= (x + 3)² - 11 ← in vertex form

with (h, k) = (- 3, - 11 )

Turning point = (- 3, - 11 )

You might be interested in

F= 3x^2 - x +4 , find f (1/2)

sergey [27]

The answer is 7 i did it on a calculator lol

4 0

3 years ago

A poll of 793 adults aged 18 or older asked about purchases that they intended to make for the upcoming holiday season. One of t

Ira Lisetskai [31]

Answer:

(0.5793, 0.6363)

Step-by-step explanation:

Given that a poll of 793 adults aged 18 or older asked about purchases that they intended to make for the upcoming holiday season. One of the questions asked about what kind of gift they intended to buy for the person on whom they would spend the most. Clothing was the first choice of 482 people.

i.e. sample proportion p= $\frac{482}{793} =0.608$

$q=1-p = 0.392$

Std error of p = $\sqrt{pq/n} =0.0173$

For 90% Z crtiical = 1.645

Hence margin of error = 1.645 * std error = 0.0285

Confidence interval 90%

= proportion ±margin of error

= $(0.5793, 0.6363)$

3 0

3 years ago

Which theorem is the following?

lord [1]

Answer:

Perpendicular bisector theorem

Step-by-step explanation:

The illustration of the theorem is:

If point B is a perpendicular bisector of Line AC and the length of AC is 10cm

Then

$AB + BC = 10$

Where

$AB = BC$ --- Perpendicular bisector

So, the equation becomes

$AB + AB =10$

$2AB =10$

$AB = 5$

Recall: $AB = BC$

$AB = BC = 5$

7 0

2 years ago

An office supply store recently sold a black printer ink cartridge for $17.99 and a color printer ink cartridge for $20.99. At t

UNO [17]

Answer:

40 black ink cartridges and 19 colored ink cartridges

Step-by-step explanation:

Let $b$ represent the number of black printer ink cartridges sold. Let $c$ represent the number of color printer ink cartridges sold.

Set up a system of equations:

$\displaystyle\\\begin{cases}b+c=59\\17.99b+20.99c=1,118.41\end{cases}$

$b+c=59\implies b=59-c$

Substitute:

$\displaystyle\\17.99(59-c)+20.99c=1,118.41\\\implies c=\boxed{19}$

$\implies b+19=59\implies b=\boxed{40}$

⇒ 40 black ink cartridges, 19 colored ink cartridges (ans)

8 0

2 years ago

Answer the question below

Ivenika [448]

A is the right answer ( I say) because 1 over 4 if you times it with 2 you get 1 over 8
Your welcome I hope this works for u

5 0

2 years ago

Read 2 more answers