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never [62]
3 years ago
12

Match each graph with its corresponding equation

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
5 0
The equation of the parabolas given will be found as follows:
a] general form of the parabolas is:
y=k(ax^2+bx+c)
taking to points form the first graph say (2,-2) (3,2), thus
y=k(x-2)(x-3)
y=k(x^2-5x+6)

taking another point (-1,5) 
5=k((-1)^2-5(-1)+6)
5=k(1+5+6)
5=12k
k=5/12
thus the equation will be:
y=5/12(x^2-5x+6)

b] Using the vertex form of the quadratic equations:
y=a(x-h)^2+k
where (h,k) is the vertex
from the graph, the vertex is hence: (-2,1)
thus the equation will be:
y=a(x+2)^2+1
taking the point say (0,3) and solving for a
3=a(0+2)^2+1
3=4a+1
a=1/2
hence the equation will be:
y=1/2(x+2)^2+1


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-2b^2-5b+12 factor the trinomial
Bad White [126]

Answer: −(b+4)(2b−3)

Step-by-step explanation:

1. Factor out the negative sign.

−(2b^2+5b−12)

2. Split the second term in 2b^2+5b−12 into two terms.

−(2b^2+8b−3b−12)

3.Factor out common terms in the first two terms, then in the last two terms.

−(2b(b+4)−3(b+4))

4. Factor out the common term b+4b+4b+4.

−(b+4)(2b−3)

5 0
3 years ago
Ill mark brainlist plss help
Luden [163]
The answer is 222ft.
6 0
2 years ago
Laurie has a signed contract with I- Mobile where she will pay a $25 fee each month plus $2 per phone call.
nikitadnepr [17]

Answer:

i dont know how your teacher teaches it but in the first question take away the y after the 25. number 2 the start equation would be 55=2x+25 then you would subtract 25 from each side to get 30=2x, the divide by to to get x=15 or she made 15 calls. number 3 is correct.

i hope this helps

8 0
1 year ago
im giving my friends 9 cupcakes thats 60 percent of my order how many more cupcakes do i need to get my order to 100 percent
Gwar [14]

Answer:

6 more cupcakes.

Step-by-step explanation:

60% of 15 is 9, so 15-9 is 6.

4 0
2 years ago
PLEASE HELP
Viefleur [7K]
7x²=9+x
so
for
0=ax²+bx+c

x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}
so

7x²=9+x
mins 9 from both sides and minus x
7x²-1x-9=0
a=7
b=-1
c=-9


x=\frac{-(-1)+/-\sqrt{(-1)^2-4(7)(-9)}}{2(7)}
x=\frac{1+/-\sqrt{(-1)^2+4(7)(9)}}{2(7)}
so the 4th one
4 0
3 years ago
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