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damaskus [11]
4 years ago
8

I'm confuse with these questions

Mathematics
1 answer:
alexdok [17]4 years ago
3 0

8 a) y=x² stretched vertically by 8

That means (0,0) stays (0,0),  and (1,1) becomes (1,8) and (-1,1) becomes (-1,8)

Answer: y = 8x²

8 b) y=x² compressed vertically by 1/5

Answer: y = (1/5) x²

9.

y = ax² + k through (-1,3) and (3,-13)

That means

3 = a (-1)² + k

-13 = a (3²) + k

Subtracting,

16 = a - 9a = -8a

a = -2

3 = -2 + k

k = 5

y = -2x² + 5

Check:

-2(-1)^2 + 5 = 3, good

-2(3)^2+5 = -18 + 5 = -13, good

Answer: a = -2, k = 5


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According to the synthetic division below, which of the following statements are true?
kykrilka [37]

Answer:

Options (A) and (D)

Step-by-step explanation:

We can write the given division as,

\frac{2x^2+6x-8}{x+5}=2x-4+\frac{12}{x+5}

Option (A)

When (2x² + 6x - 8) is divided (x + 5), the remainder is 12.

True.

Option (B)

When (2x² + 6x - 8) is divided (x - 5), the remainder is 12.

False.

Option (C)

When x = 5,

2x² + 6x - 8 = 12

2(5)² + 6(5) - 8 = 50 + 30 - 8

                        = 72

False.

Option (D)

When x = -5,

2(-5)² + 6(-5) - 8 = 50 - 30 - 8

                          = 12

True.

Option (E)

(x - 5) is a factor of 2x² + 6x - 8

If (x - 5) is a factor value of 2x² + 6x - 8 should be zero.

False.

Option (F)

(x + 5) is a factor of 2x² + 6x - 8

If (x + 5) is a factor then by substituting x = -5 in the expression value should be zero.

But the value is 12.

False.

5 0
3 years ago
A researcher receives 106 containers of oxygen. Of those containers, twenty of them have oxygen that is not ionized and the rest
9966 [12]

Answer:

0.1905 = 19.05%

Step-by-step explanation:

We have a total of 106 containers of oxygen, from which:

20 have oxygen not ionized, 86 have oxygen ionized.

If the first one selected is ionized, now we have 20 not ionized and 85 ionized.

So the probability of the second one selected being not ionized is the number of not ionized (20) over the total number of containers (20 + 85):

P = 20 / (20 + 85) = 0.1905 = 19.05%

8 0
3 years ago
Find the value of y in the equation 3/y-2=8
Marina86 [1]
<span>3
---  </span>-2 = 8<span>
y

</span>3
---  = 8+2
y

3
---  = 10
y
3
       
         3
y = ------
        10
4 0
3 years ago
Read 2 more answers
What is the answer ? Help anyone ?
aleksandr82 [10.1K]
The answer us c because of kcf
7 0
3 years ago
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Pablo has 0 pieces of candy and wants to divide them into 2 equal piles. You want to know how many pieces will be in each pile?
sesenic [268]

Answer:

no

Step-by-step explanation:

you cannot divide zero into two equal parts because there is nothing there to start.  Since Pablo has no candy, he cannot divide it into two piles because there isn't anything to divide.

8 0
4 years ago
Read 2 more answers
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