Calculate the x and f(x) intercepts of f(x) = 3x 2 − 12.

Answers

Answer 1
Answer:

Answer:

-6

and there you have it plain and simple

Answer 2
Answer:

Answer:

see explanation

Step-by-step explanation:

To find the x- intercepts let f(x) = 0, that is

3x² - 12 = 0 ( add 12 to both sides )

3x² = 12 ( divide both sides by 3 )

x² = 4 ( take the square root of both sides )

x = ± √(4) = ± 2

Thus x- intercepts are at (- 2, 0 ) and (2, 0 )

To find the y- intercept (f(x)) let x = 0, thus

f(0) = 3 × 0² - 12 = 0 - 12 = - 12

Thus y- intercept at (0, - 12 )


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What is the solution to the following equation?
(5x-2)^2=10

Answers

take the square root of both sides to get rid of parenthasees, remember to get the positive and negative root
5x-2=+/-√10
add 2 to both sides
5x=2+/-√10
divide by 5
x=(2+/- √(10) )/(y)

x= (2+ √(10) )/(y) or (2- √(10) )/(y)

aprox
x=1.03246 or -0.232456

Which of the following models a linear function for the amount of money, A, Sonya has in a savings account if she has saved $300 and plans to save and additional $20 per month, m?A(x) = 20 + 300m

A(x) = 300 - 20m

A(x) = 15m

A(x) = 300 + 20m

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Final answer:

The equation modelling Sonya's savings is A(m) = 300 + 20m, where A is the total saved, 300 is the initial amount saved, 20 is the amount saved monthly, and m is the number of months.

Explanation:

The correct model for this question is A(m) = 300 + 20m. This is because Sonya initially has $300 in her savings account, represented by the 300 in the equation, and each month she saves an additional $20, represented by the 20m in the equation. The variable m in the equation represents the number of months Sonya has been saving money. So each time m increases by 1 (meaning one month passes), the total amount of money, A, increases by $20. So if m represents 3 months, Sonya has $300 + $20*3 = $360 in her account.

Learn more about Linear Function here:

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Geometry would not be used to check a foundation during construction.True false

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False geometry would be used to check a foundation during construction
Hey there

The statement Geometry would not be used to check a foundation during construction is false 

Use X and Y to create a function and describe how its a function.

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y=mx+b
f(x)=3x+4

This is a function because it shows that the y value is equivalent to 3 times the x value plus 4. the 4 is used to represent the y intercept, which is were the  function's line intercepts the y axis (it intercepts at 4 units). For ever value of x, f(x) is four more than three times x. 

4. The diagram in this figure illustrates a _______ angle. A. right
B. supplementary
C. reflex
D. curved

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Answer:

C)   The diagram in this figure illustrates a reflex angle

Step-by-step explanation:

Given : A diagram with an angle.

To find : The diagram in this figure illustrates a _______ angle.  

Solution : We can see from figure it is greater than 180 degree and less than 360 degree.

By the definition of reflex angle : The reflex angle is the larger angle. It is more than 180° but less than 360°.

Therefore,  C)   The diagram in this figure illustrates a reflex angle.

It would be C. because it is more than 180 but less than 360

What two numbers add to 10 and multiply to -192? How do you find it?I know I already asked this but I wasn't able to find the numbers. Please help me.

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There is a way to do this algebraically using equations, but it is really messy so I am going to go over the way to do it. The way you do this is by finding whole numbers that multiply to make -192. Start with 1 and 192, 2 and 96, 3 and 64, etc and make the smaller number negative. 
The reason why you make the smaller number negative is because we are looking for what numbers add together to make a positive number (10). If the bigger number was negative, then we would get a negative sum. 
From what i could find, there aren't any whole numbers that satisfy this, and i doubt that the question would want you to find decimals for this. 

The way to find this with equations (in short) is to have to variables, x and y, and make two equations. in this case x+y=10 and xy=-192. Solve one equation for a variable and then use substitution to plug that variable into the other equation. if you do this you get really long decimals.