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vekshin1
3 years ago
13

Plzzz help me plz Show how to find the x-intercepts of this parabola using factoring and the Zero Product Property. Select the a

nswer which is the sum of all solutions to this equation, rounded to the nearest tenth.
y = -10x2 + 8x + 24
Mathematics
1 answer:
DENIUS [597]3 years ago
5 0

Answer:

x = -6/5 and x = 2

Step-by-step explanation:

y = -10x² + 8x + 24

0 = -2(5x+6)(x-2)

5x+6 = 0         x-2 = 0

5x = -6             x = 2

x = -6/5

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A bike rental company charges a fee per hour. The charge, in dollars, is the same each hour. The ordered pairs (3, 13.50) and (5
olchik [2.2K]

If the function is y = 4.5x. Then the rate of change of the function expressed as a unit rate will be 4.5.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A bike rental company charges a fee per hour.

The charge, in dollars, is the same each hour.

The ordered pairs (3, 13.50) and (5, 22.50) represent the corresponding hours, x, and cost, y.

Then the linear equation is given as

\begin{aligned} \rm  y - 22.5 &= \rm \dfrac{22.5 - 13.5}{5 - 3} (x-  5)\\\\\rm y - 22.5 &= \rm 4.5x - 22.5\\\\\rm y &= \rm 4.5x \end

Then the rate of change of the function expressed as a unit rate will be

\rm \dfrac{dy}{dx}  = \dfrac{d}{dx} (4.5x )\\\\\dfrac{dy}{dx}  = 4.5

More about the linear system link is given below.

brainly.com/question/20379472

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7 0
2 years ago
20 people applied for a job. Everyone either has a school certificate or diploma or even both. If 14 have school certificates an
STatiana [176]

Given:

Either has a school certificate or diploma or even both = 20 people

Having school certificates = 14

Having diplomas = 11

To find:

The number of people who have a school certificate only.

Solution:

Let A be the set of people who have school certificates and B be the set of people who have diplomas.

According to the given information, we have

n(A)=14

n(B)=11

n(A\cup B)=20

We know that,

n(A\cup B)=n(A)+n(B)-n(A\cap B)

20=14+11-n(A\cap B)

20=25-n(A\cap B)

Subtract both sides by 25.

20-25=-n(A\cap B)

-5=-n(A\cap B)

5=n(A\cap B)

We need to find the number of people who have a school certificate only, i.e. n(A\cap B').

n(A\cap B')=n(A)-n(A\cap B)

n(A\cap B')=14-5

n(A\cap B')=9

Therefore, 9 people have a school certificate only.

3 0
3 years ago
How much space does the triangle cover? Triangle with a base of 4 cm and a height of 12 cm Group of answer choices
aleksley [76]

Answer:

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Step-by-step explanation:

How much space does the triangle cover? Triangle with a base of 4 cm and a height of 12 cm

We are to find the area of the triangle

Area of the Triangle = 1/2 × Base × Height

= 1/2 × 4 × 12

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Therefore, the triangle will cover a space of 24 square centimeters.

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Hat is the percent of decrease on an item that went from $25 to $20?
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Your answer is 20% :)
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