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3 years ago

Can someone please help me on this question.

Mathematics

1 answer:

lesya692 [45]3 years ago

4 0

Answer:

Step-by-step explanation:

$3x^{2} + 5x-12=0$

$-12=-5x-3x^{2}$

$(-12=-5x-3x^{2} ) * -1$

$\sqrt{12=5x+3x^{2}$

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Write the equation of the parabola that has its x-intercepts at (1+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B5%7D" id="TexForm

VladimirAG [237]

Answer:

$y=2x^2-4x-8$

Step-by-step explanation:

<u>Factored form of a parabola</u>

$y=a(x-p)(x-q)$

where:

p and q are the x-intercepts.
a is some constant.

Given x-intercepts:

(1+√5, 0)
(1-√5, 0)

Therefore:

$\implies y=a(x-(1+\sqrt{5}))(x-(1-\sqrt{5}))$

$\implies y=a(x-1-\sqrt{5})(x-1+\sqrt{5})$

To find a, substitute the given point (4, 8) into the equation and solve for a:

$\implies a(4-1-\sqrt{5})(4-1+\sqrt{5})=8$

$\implies a(3-\sqrt{5})(3+\sqrt{5})=8$

$\implies4a=8$

$\implies a=2$

Therefore, the equation of the parabola in factored form is:

$\implies y=2(x-1-\sqrt{5})(x-1+\sqrt{5})$

Expand so that the equation is in standard form:

$\implies y=2(x^2-x+\sqrt{5}x-x+1-\sqrt{5}-\sqrt{5}x+\sqrt{5}-5)$

$\implies y=2(x^2-x-x+\sqrt{5}x-\sqrt{5}x+\sqrt{5}-\sqrt{5}+1-5)$

$\implies y=2(x^2-2x-4)$

$\implies y=2x^2-4x-8$

6 0

1 year ago

Plz help me with 9 and 10 im giveing 10 points to who ever helps me, and hurry plz QUICK

mr Goodwill [35]

G= 50 for 9 and for 10 p=4

Good luck

3 0

3 years ago

Read 2 more answers

On-the-Go Phone Company has two monthly plans for their customers.The EZ Pay Plan costs $0.15 per minute. The 40 to Go Plan cost

natulia [17]

For one moth it would be....
$30 + 40 + 0.05$
$57.00 In total but im not sure if this is correct so if you could make sure please.

4 0

3 years ago

Read 2 more answers

Please help I don’t know this question .

serg [7]

x = 6

AB = 11

BC = 22

Hope that helps :)

6 0

3 years ago

F(x) = -x² – 10x + 16<br> Find f(-7)

Gala2k [10]

Answer:

-5

Step-by-step explanation:

or, f(x) = -x^2+10x+16

or, f(7) = (-7)^2+10*-7+16 (-7*-7=49)

=49-70+16

=65-70

=-5

5 0

3 years ago