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Tems11 [23]
3 years ago
10

Using the numbers given write an equation that has a solution of 4

Mathematics
1 answer:
djverab [1.8K]3 years ago
3 0
What are the numbers given?
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David biked 24 miles in 4 hours if he biked at a constant speed how many miles did he bike per hour
pishuonlain [190]

Answer:

david biked 6 miles every hour!

Step-by-step explanation:

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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

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1 year ago
HELLPP MEMMMEMEMEE pls
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60

Step-by-step explanation:

Look at the attachment

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3 years ago
A rectangle has an area of 45x2 − 42x − 48 and a width of 5x − 8. What is the length of the rectangle?
Irina18 [472]

Dividend

Divisor

and

9x+6

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3 years ago
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Our math team had m students last year, but this year it has already n students! By what percent did the number of students grow
AlekseyPX
For this case we are going to assume the following:
 m: whole number greater than zero.
 n: integer greater than zero.
 Where,
 n> m
 According to these assumptions, the percentage of growth is given by the following formula:
 (n / m) * 100 - 100
 Answer:
 
the number of students did grow by:
 
(n / m) * 100 - 100
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