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3 years ago

Find the equation of the para bola that has zeros of x = -2 and x = 3 and a y-intercept of (0,-30)

Mathematics

1 answer:

lana [24]3 years ago

7 0

Answer:

y = 5x^2-5x-30

Step-by-step explanation:

A parabola with x-intercepts at (-2,0) and (3,0) has the equation

y = a(x+2)(x-3)

where a is to be determined.

We know that it passes through the point (0,-30), so

-30 = a(0+2)(0-3) = -6a

Therefore solve for a to get

a = 5

y = 5(x+2)(x-3)

y = 5(x^2-x+6)

y = 5x^2-5x-30

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It's B cause it's open upwards.

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3 years ago

PLEASE HURRY!50 POINTS ANS BRAILIEST

densk [106]

Answer:

The decreasing value of car 1 can be represented by an exponential function and car 2 by a linear function

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Car 2 would be $9500.00 after 9 years

There is a significant difference of $1100.40 in value.

Step-by-step explanation:

$f(x) = ar^{x}\\f(0) = a = 18500\\f(x) = 18500r^{x}\\f(1) = 18500r = 17390\\r = \frac{17390}{18500} = 0.94\\f(x) = 18500(0.94)^{x}$

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3 years ago

What is the circumference of quadrilateral ABED in cm?

Natasha2012 [34]

the perimeter of quadrilateral ABED is 36.

<h3 /><h3>What is circumference?</h3>

A circumference is the total distance around a plane shape. Another name for circumference is called perimeter

To calculate the circumference of the quadrilateral, we use the formula below.

Formula:

Peri. of ABED = /AB/+/BE/+/ED/+/DA/............. Equation 1

From the Diagram,

Given:

/AB/ = /DC/ = 8 cm,
/BE/ = 2×/DA/ = 2×6 = 12 cm
/ED/ = √(6²+8²) = √(36+64) = √100 = 10 cm
/DA/ = 6 cm

Substitute these values into equation 1

Peri. of quadrilateral ABED = 8+12+10+6
Peri. of quadrilateral ABED = 36 cm

Hence, the perimeter of quadrilateral ABED is 36.

Learn more about circumference here: brainly.com/question/20489969

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1 year ago

The world's largest pumpkin pie weighed 2020 pounds. The pie was 12 and one-third feet across and one-third foot thick. Write a

Yanka [14]

Answer:

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You can also divide, but it must be divisible by both the numerator/denominator

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3 years ago

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patriot [66]

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3 years ago