Which is equivalent to (9y2 – 4x)(9y2 + 4x), and what type of special product is it?

Answers

Answer 1

Answer: This is an example of the difference of squares.

$a^2 - b^2 = (a-b)(a+b)$

So to find the product of (9y² – 4x)(9y² + 4x), we use the formula for the difference of squares.

$(9y^2 - 4x)(9y^2 + 4x)\n\n=(9y^2)^2 -(4x)^2\n\n=\boxed{\bf{81y^4 - 16x^2}}$

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HELP! Please! Find The Height.

Answers

The height is 9m, but I'm afraid I can't explain it well enough for you to be able to solve
a similar problem next period.

First of all, I think the drawing is confusing. You have to take control of your eyes
until they recognize that the dotted lines are in the back, and the solid lines are in
the front. Then you see that the bottom triangular face of the prism has a base
of 7 and a height of 1.9 . That makes the area of the base (1/2)(b h) = 6.65 m² .

The volume of the whole prism is (area of the triangular face) x 'H' = 59.85 .

H = 59.85 / 6.65 = 9 m³ .

And the part that's enough to make you really steamed up is: You don't need
those measurements of the top face at all . . . the 3m and 5m on top.

8 1/2 is an example of an improper fraction.
true or false?

Answers

It is false!!! 8 1/2 is a mixed number!! when they have a whole number in front of it such as 8, or etc. and also. fraction... it's. mixed fraction! an improper fraction is like 57/4!! a big number over a smaller number!

It takes 10 minutes to bake a batch of cookies. You need to bake 7 batches of cookies. How long will it take to bake all the cookies?

Answers

You know 1 batch of cookies = 10 minutes

Now, 7 batch of cookies = ?
To do this just do 7×10=70.
So the answer is 70 minutes = 7 batch of cookies.

You can also set up a proportion.

10 x
__ = ____
1 7

Cross multiply and 7×10=70 and 10x. So now its like this.
70= 10x
÷10 ÷10
_________
7=x

So the answer is 7.

Given the function f(x)=-2x-1 and g(x)=-3x 4 which operation results in the smallest coefficient on the x term?a. two operations result in the same coefficient
b. subtraction
c. multiplication
d. addition

Answers

Answer:

Option (a) is correct.

The smallest coefficient on x - terms will be obtained by addition and multiplication of two given functions.

Step-by-step explanation:

Given: The function $f(x)=-2x-1$ and $g(x)=-3x+4$

We have to find the operation from the given options that results in the smallest coefficient on the x term .

Consider the given function $f(x)=-2x-1$ and $g(x)=-3x+4$

b) Subtraction

That is f(x) - g(x)

$f(x) -g(x)=-2x-1-(-3x+4)$

Apply plus - minus rule -(-a) = a , we have,

$f(x)-g(x)=-2x-1+3x-4$

$f(x)+g(x)=x-5$

Here, The coefficient of x is 1.

c) Multiplication

That is $f(x)\cdot g(x)=(-2x-1)\cdot (-3x+4)$

$\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd$

$=\left(-2x\right)\left(-3x\right)+\left(-2x\right)\cdot \:4+\left(-1\right)\left(-3x\right)+\left(-1\right)\cdot \:4$

Simplify, we have,

$=6x^2-5x-4$

Here, The coefficient of x is -5.

d) Addition

That is f(x) + g(x)

$f(x)+g(x)=-2x-1+(-3x+4)$

Simplify, we have,

$f(x)+g(x)=-2x-1-3x+4$

$f(x)+g(x)=-5x+3$

Here, The coefficient of x is -5.

a) two operations result in the same coefficient.

When we add or multiply the two given function, we obtain the same coefficient of x that is -5

Hence, The smallest coefficient on x - terms will be obtained by addition and multiplication of two given functions.

Answer:

a. two operations result in the same coefficient

Step-by-step explanation:

Here, the given functions,

f(x) = -2x - 1,

g(x) = -3x + 4,

Subtracting,

Case 1 : f(x) - g(x)

-2x - 1 + 3x - 4 = x - 5

Case 2 : g(x) - f(x)

3x - 4 + 2x + 1 = 5x - 3

Coefficient of x = 1 or 5

Multiplication :

f(x)* g(x) = (-2x - 1) (-3x + 4) = 6x² - 8x + 3x - 4 = 6x² - 5x - 4

Coefficient of x = -5

Addition :

f(x) + g(x) = -2x - 1 - 3x + 4 = -5x + 3

Coefficient of x = -5

Thus, the least coefficient of x = -5

And, two operation ( multiplication and addition ) operations result in the same coefficient

OPTION a is correct.

What is the diameter of a cone if the volume is 134 and the height is 8

Answers

Answer:

times it

Step-by-step explanation:

The grocery store is selling bags of grapefruits for $4. Each bag contains 8 grapefruits. What is the price per grapefruit?

Answers

8× = 4
×/8=4/8
× = .5

each grapefruit is .5

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