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kipiarov [429]
4 years ago
5

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.

Mathematics
1 answer:
erma4kov [3.2K]4 years ago
8 0

Answer:

y =  x² - 8x + 17

Step-by-step explanation:

Recall this formula:

y = a(x-h)² + k

Original equation was y = x², which in this form looks like

y = 1(x - 0)² + 0

If the shape of the graph didn't change, that means that a (the compressor/intensifier) stayed the same (a - value) meaning we can write the equation as..

y = (x-h)² + k

Remember, (h, k) is the vertex, which looking from your graph is at (4, 1)

y = (x - 4)² + 1

y = x^2- 8x + 16+1

y = x² - 8x + 17

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If log w = (1/2) log x + log y, then w= ?
alina1380 [7]

Answer:

w = \sqrt{x} y

Step-by-step explanation:

Formula used :

a \ log\ b = log \ b^a\\\\log a + log b = log \ ab

 

log\ w = \frac{1}{2} log\ x + log \ y\\\\log \ w = log \sqrt{x}  + log \ y\\\\log \ w = log \sqrt{x}  y\\\\w = \sqrt{x} y

6 0
4 years ago
Read 2 more answers
A spider ate 25%25\% 25% 25, percent more bugs this month than last month. The spider ate 88 8 8 bugs last month. How many bugs
alekssr [168]

Answer:

10 bugs

Step-by-step explanation:

If last month the spider ate 8 bugs, and this month the spider ate 25% more bugs, we can calculate the amount of bugs the spider ate this month finding how much is 25% of 8 bugs, and them we sum this value to the 8 bugs it ate last month.

25% of 8 = 8 * 25 / 100 = 2

Now we know that the spider ate 2 more bugs, so the amount of bugs it ate this month is 8 + 2 = 10 bugs.

We can also solve this problem multiplying directly 8 by 1.25 (1.25 represents the 25% increase in the bug consumption):

8 * 1.25 = 10 bugs.

6 0
3 years ago
Write the equation of a line that is perpendicular to the given line and that passes through the given point. y= 2/3x + 9 ; (–6,
matrenka [14]

Answer:

y = - \frac{3}{2} x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{2}{3} x + 9 ← is in slope- intercept form

with slope m = \frac{2}{3}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{2}{3} } = - \frac{3}{2}, thus

y = - \frac{3}{2} x + c ← is the partial equation

To find c substitute (- 6, 5) into the partial equation

5 = 9 + c ⇒ c = 5 - 9 = - 4

y = - \frac{3}{2} x - 4 ← equation of perpendicular line

5 0
3 years ago
The difference of the squares of two positive consecutive even integers is 12. Find the integers. Use the fact that, if x repres
Lina20 [59]

Answer:

2 and 4.

Step-by-step explanation:

(x+2)^2 - x^2 = 12

x^2 + 4x + 4 - x^2 = 12

4x + 4 = 12

4x = 8

x = 2.

Hence the integers are 2 and 4.

5 0
4 years ago
(help me it is not much)
Harman [31]

Answer:

Slope Intercept Form

Step-by-step explanation:

its the basics

3 0
3 years ago
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