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klio [65]
3 years ago
14

5d2-50d+125 = Fully factor each expression

Mathematics
1 answer:
Ede4ka [16]3 years ago
8 0
First, let's start off by simplifying as much as possible before factoring.

5d^2 - 50d + 125

We can divide all the numbers by 5 in order to simplify it:

5(d^2 - 10d + 25)

Now all we need to do is factor.
Since -5*-5 = 25 and -5 - 5 = -10, we can use this to factor:

5(d - 5)(d - 5)
Or
5(d - 5)^2
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40 points I'll mark you as BRAINLIEST for the person with the right answers .
Karo-lina-s [1.5K]
9. y=-1/4x^2+4x-19
group
y=(-1/4x^2+4x)-19
undistribute -1/4
y=-1/4(x^2-16x)-19
take 1/2 of -16 and squer it to get 64 then add neg and pos inside
y=-1/4(x^2-16x+64-64)-19
factorperfect square
y=-1/4((x-8)^2-64)-19
expand
y=-1/4(x-8)^2+16-19
y=-1/4(x-8)^2-3
vertex is (8,-3)

10.
group
y=(1/4x^2-3x)+18
undistribute
y=1/4(x^2-12x)+18
take 1/2 of -12 and square it and add neg and pos isndie
y=1/4(x^2-12x+36-36)+18
factor
y=1/4((x-6)^2-36)+18
expand
y=1/4(x-6)^2-9+18
y=1/4(x-6)^2+9
get to form (x-h)^2=4p(y-k)
minus 9 both sides and times 4
(x-6)^2=4(y-9)
(x-6)^2=4(1)(y-9)
so 1>0 so opens up and focus is 1 above vertex
vertex is (6,9)
so focus i (6,10)





11.
y=(-1/6x^2+7x)-80
y=(-1/6)(x^2-42x)-80
take 1/2 of linear coefient and squer it and add negative and positive inside
-42/2=-21, (-21)^2=441
y=(-1/6)(x^2-42+441-441)-80
factor perfect square the square
y=(-1/6)((x-21)^2-411)-80
expand
y=(-1/6)(x-21)^2+73.5-80
y=(-1/6)(x-21)^2-6.5
add 6.5 to both sid
y+6.5=(-1/6)(x-21)^2
times both sides by -6
-6(y+6.5)=(x-21)^2
(x-21)^2=-6(y+6.5)
(y-21)^2=4(-3/2)(y-(-6.5))
vertex is
-3/2<0 so directix is above
it is -3/2 or 1.5 units above the vertex
up is y so
-6.5+1.5=-5
the directix is y=-5




11.
in form (y-1)^2=4p(x+3)
opens left or right
(y-1)^2=4(4)(x+3)
vertex is (-3,1)
4>0 so opens right
dirextix is to left
it is 4 units to left
(-3,1)
left right is x
4 left of -3 is -4-3=7
x=-7 is da directix
3 0
3 years ago
A recipe for banana bread spread requires 3 cups of bananas for every 1 1/2 cups of sugar used. At this rate, how many cups shou
anyanavicka [17]

Answer:

We need 1 cup of sugar for 2 cups of bananas

Step-by-step explanation:

We can use proportions to solve this problem.  Put bananas on the top and sugar on the bottom

3 cups              2 cups bananas

-------------- = ------------------

1 1/2 cups      x cups sugar

Using cross products

3 *x = 2 *  1 1/2

Changing to decimals

3x = 2* 1.5

3x = 3

Divide by 3

3x/3 = 3/3

x=1

We need 1 cup of sugar for 2 cups of bananas

6 0
3 years ago
Read 2 more answers
Select the improper fraction that is not equivalent to the whole number 3.
Viktor [21]

Answer:

are there options to choose from? i don't see any.

Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
0.1 is 10℅ of what number
zaharov [31]
I believe the answer would be either .01 or .001
7 0
3 years ago
A researcher conducted a paired sample t-test to determine if advertisements were viewed more in the morning (before noon) or in
Natalija [7]

Answer:

b. No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p > .05).

Step-by-step explanation:

The critical value for one tailed test is t ∝(7) > 1.895

A one tailed test is performed to test the claim that advertisements were viewed more in the morning (before noon) or in the evening (after 5pm)

The null and alternative hypotheses are

H0: μm = μe   vs     Ha μm > μe

where μm is the mean of the morning and μe is the mean of evening.

The calculated value of t = -1.152587077  which is less than the critical region hence the null hypothesis cannot be rejected .

P(T<=t) one-tail 0.143458126 > 0.05

If two tailed test is performed the critical region is t Critical two-tail 2.364624252

and the calculated t value is  -1.152587077  which again does not lie in the critical region .

Hence μm =  μe or    μm ≤ μe

P(T<=t) two-tail 0.286916252  > 0.025

Therefore

b. No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p > .05).

Option b gives the best answer.

6 0
3 years ago
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