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scoray [572]
3 years ago
15

G(x) = x2 + 3x - 2, find g(-2) Please Explain

Mathematics
1 answer:
Vlad1618 [11]3 years ago
5 0
G(-2) means "evaluate the equation at -2"; it's asking you to swap out the "x" in the equation and sub in -2.

g(x) = x² + 3x - 2  ... plug in -2
g(-2) = (-2)² + 3(-2) - 2  ... simplify
g(-2) = 4 + (-6) - 2 ... add/subtract
g(-2) = -4
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What is the answer when subtracting (-3y2-8)-(5y2+1)?
Alona [7]

You have to distribute the minus sign to the second parenthesis, changing the sign of every term:

-3y^2-8-(5y^2+1) = -3y^2-8-5y^2-1 = -8y^2-9

3 0
3 years ago
Monique bought a shirt for $22.80 during a 30% off sale. How much dose the shirt cost when it is not on sale
vfiekz [6]

Answer:$29.64

Step-by-step explanation:

$22.80 + 30%= $29.64

3 0
3 years ago
Read 2 more answers
4 is added to the data set 22, 25, 31, 33, 24. Answer true or false for the following statements.
Vedmedyk [2.9K]

Answer:

The range and mean will increase - False

(because only range will increase, mean will decrease)

The mean and median will decrease - True

The mean will decrease but the median will stay the same - False

(Both of mean and median will decrease)

An outlier is more likely to change the median than the mean - False

(An outlier is more likely to change the mean than the median)

3 0
4 years ago
Evelyn's made a cake in the shape of a circus tent the cake consisted of a cylinder and a cone .The height of the cone is half t
Lera25 [3.4K]
The volume of the cake is 1470 in³. 
volume of a cylinder = πr² x height
(Think about how a cylinder is basically a bunch of circles stacked on top of each other. To find the volume, first you need the area of the circle (πr², then you multiply by how many circles you are stacking on top of each other (height)) 

we know the diameter of the cylinder is 12 in. and the radius is half of the diameter. 
half of 12 is 6, therefore the radius is 6 in. or r = 6 
Assuming pi is 3.14, solve for the height of the cylinder
1470 = (3.14)(6²)(height)
1470 = 3.14 x 36 x height
1470 = 113.04 x height
height ≈ 13 in

Now that we know the height of the cylinder is about 13 in., we know the height of the cone, because the problem says that the height of the cone is half the height of the cylinder. 
half of 13 is 6.5, therefore the height of the cone is 6.5 
the radius of the cone is the same as that of the cylinder, 6 in. 

volume of a cone = πr² × (height ÷ 3)

volume of the cone = (3.14)(6²)(6.5 ÷ 3)
volume of the cone = (3.14)(36)(2.16666)
volume of the cone = 244.92 in³

Now all that's left to find the volume of the whole cake is to add the volume of the cylinder to the volume of the cone. 

1470 + 244.92 = 1714.92 in³



6 0
3 years ago
How do i calculate the percentage difference between two numbers????
lawyer [7]

When finding the percent difference between two numbers, there are two ways you can do this.

1. The first way is how to calculate the percentage INCREASE of two numbers:

-The formula is Increase / Original Number × 100 = % increase

Step 1: Find out the difference between the two numbers you're comparing. New number - Original number = Increase.

Step 2: Divide the increase by the original number and then multiply your answer by 100. (If your answer is a negative number, then it is a percent decrease, not a percent increase.)

2. The second way is how to calculate the percentage DECREASE of two numbers:

Step 1: Find out the difference between the two numbers you're comparing. Original number - New number = Decrease.

Step 2: Divide the decrease by the original number and then multiply your answer by 100. Decrease ÷ Original Number × 100 = % Decrease. (If your answer is a negative number, then is is a percent increase, not a percent decrease.)



8 0
3 years ago
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