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2 years ago

A quadratic function is shown.

Mathematics

1 answer:

Yuki888 [10]2 years ago

4 0

The other factor would be x - 3

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Prove the following statement.

gayaneshka [121]

Answer:

You can prove this statement as follows:

Step-by-step explanation:

An odd integer is a number of the form $2k+1$ where $k\in \mathbb{Z}$ . Consider the following cases.

Case 1. If $k$ is even we have: $(2k+1)^{2}=(2(2s)+1)^{2}=(4s+1)^{2}=16s^2+8s+1=8(2s^2+s)+1$ .

If we denote by $m=2s^2+2$ we have that $(2k+1)^{2}=8m+1$ .

Case 2. if $k$ is odd we have: $(2k+1)^{2}=(2(2s+1)+1)^{2}=(4s+3)^{2}=16s^2+24s+9=16s^{2}+24s+8+1=8(2s^{2}+3s+1)+1$ .

If we denote by $m=2s^{2}+24s+1$ we have that $(2k+1)^{2}=8m+1$

This result says that the remainder when we divide the square of any odd integer by 8 is 1.

6 0

2 years ago

I NEED HELP FAST!

Degger [83]

Answer:

Step-by-step explanation:

4.5×5.5=24.75

so 24.75 is the area of the room but you have to buy whole tiles so you would need to but 25 tiles

8 0

3 years ago

PLS HELP ANSWER ASAP MARK BRAINLEIST

Alenkinab [10]

X is always dependant to Y. so that should answer the 1st one. the 2nd looks to be around 17-18. 17.5 maybe. and the 3rd is yes cause he does not go to the pool so it isnt any cost.

3 0

2 years ago

If R is the midpoint of PS with PR = 7x + 23 and RS= 13x-19 then find PS

Rainbow [258]

If R is the midpoint of PS, then PR = RS -- (1)

Also, PR + RS = PS -- (2)

__________________

PR + RS = PS

7x + 23 + 13x - 19 = PS

__________________

Now, PR = PS

7x + 23 = 13x - 19

7x - 13x = -19 - 23

-6x = -42

x = -42/-6

x = 7

__________________

PS = 7x + 23 + 13x - 19

PS = 7(7) + 23 + 13(7) - 19

PS = 49 + 23 + 91 - 19

PS = 144 

Hope it helps!

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

7 0

2 years ago

two positive integers are 3 units apart on a number line. their product is 180. wich equation can be used to solve for m, the gr

3241004551 [841]

Answer:

m^2-3m-180=0

m=15

Step-by-step explanation:

greater integer = m

small integer = n

we know that m = n+3 or n = m-3

we also know that n*m = 180

replace n for m-3

(m-3)*m=180

m^2-3m-180 = 0

(m-15)(m+12)=0

so m = 15 or -12, but since problem states positive, m=15

5 0

3 years ago