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victus00 [196]
3 years ago
5

one x-intercept for a parabola is at the point (-6,0) find the other x-intercept for the parabola defined by this equation y=x^2

+8x+12 separate the values by a comma
Mathematics
1 answer:
Tanya [424]3 years ago
6 0
Hello.

First off, you can factor this equation to find the missing x-intercept.

y = x² + 8x + 12
y = (x + 6)(x + 2)

Then, you can use the zero product property to find the x values.

x + 6 = 0       x + 2 = 0
    - 6  - 6          - 2  - 2
x = -6            x = -2

As an ordered pair: (-6, 0) and (-2, 0)

Thus, your answer is x = -6, -2.
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Newton’s Second Law of Motion states that the acceleration of an object is directly proportional to the force exerted on the obj
aev [14]

The force the same object will exert if it accelerates at a rate of 7 m/s² is 35N

From the question,

We are to determine the force the object will exert.

From the information,

Newton’s Second Law of Motion states that the acceleration of an object is directly proportional to the force exerted on the object

Let acceleration be a

and

Force be F

Then we can write that,

F ∝ a

Then,

Introducing the constant, mass, m

We get

F = ma

Now, we will determine the mass of the object

F = 15 N

a = 3 m/s²

Putting the parameters into the formula, we get

15 = m × 3

∴ m = 15 ÷ 3

m = 5 kg

The mass of the object is 5 kg.

Now, to determine the force the same object will exert if it accelerates at a rate of 7 m/s²

That is,

a = 7 m/s²

and

m = 5 kg

Putting the parameters into the formula, we get

F = 5 × 7

F = 35 N

Hence, the force the same object will exert if it accelerates at a rate of 7 m/s² is 35N

Learn more here: brainly.com/question/13590154

4 0
2 years ago
There are 9 students in a class. The teacher chooses 2 students to go to the
Ahat [919]

Answer: 72

<u>Step-by-step explanation:</u>

There are 9 students to choose from to go the library. After that person is chosen there are 8 students remaining.

First student  and   Second student

           9           x               8                 = 72

8 0
3 years ago
1. Delia purchased a new car for $23,350. This make and model straight line depreciates to zero after 13 years.
frosja888 [35]

Answer:

a. y-intercept = 23350 and x-intercept = 13

b. m = -\frac{23350}{13}

c. y = -\frac{23350}{13}x + 23350

Step-by-step explanation:

Given

Years = 13

Total\ depreciation = \$23350

Solving (a): The x and y intercepts

The y intercept is the initial depreciation value

i.e. when x = 0

This value is the value of the car when it was initially purchased.

Hence, the y-intercept = 23350

The x intercept is the year it takes to finish depreciating

i.e. when y = 0

From the question, we understand that it takes 13 years for the car to totally get depreciated.

Hence, the x-intercept = 13

Solving (b): The slope

The slope (m) is the rate of depreciation per year

This is calculated by dividing the total depreciation by the duration.

So:

m = \frac{23350}{13}

Because it is depreciation, it means the slope represents a deduction.

So,

m = -\frac{23350}{13}

Solving (c): The straight line equation

The general format of an equation is:

y = mx + b

Where

m = slope

b = y\ intercept

In (a), we have that:

y\ intercept = 23350

In (b), we have that:

Slope\ (m) = -\frac{23350}{13}

Substitute these values in y = mx + b

y = -\frac{23350}{13}x + 23350

<em>Hence, the depreciation equation is: </em>y = -\frac{23350}{13}x + 23350<em></em>

8 0
3 years ago
Whats the answer to 3,000(6-2) + 3,000
yuradex [85]
The answer is 15000

3000 \times ( 6 - 2) = 12000  + 3000 = 15000
3000*6=1800
3000*-2=-6000
18000-6000=12000
12000+3000=15000
8 0
3 years ago
Answer to be named brainliset get 25 pts and get a thank you
lisabon 2012 [21]

Answer:

The scale factor is .625 is false The scale factor 1.6 is true

Step-by-step explanation:

Since the triangle gets bigger the multiplication factor needs to be more than one to make the end result bigger

4 0
3 years ago
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