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3 years ago

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Translate this sentence into an equation. The product of dianes height and 2 is 32. Use the variable d to represent dianes heigh

t.

1 answer:

DanielleElmas [232]3 years ago

5 0

D•2=32 D=16 Product is a quantity obtained by multiplying quantities together

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F(x)=9 x^{3} +2x^2-5x+4 and g(x)=5x^3-7x+4. What is f(x)-g(x)? Show all of your steps and write your finial answer in factored f

olasank [31]

Answer:

{ -0.5 - √2, 0, -.5 + √2 }

Step-by-step explanation:

Let's rewrite these two functions in a vertical column:

f(x)=9 x^{3} +2x^2-5x+4

-g(x)=5x^3-7x+4

Now combine (through subtraction) like terms, in order of descending powers of x:

f(x) - g(x) = 4x^ 3 + 2x^2 + 2x

Let's do some preliminary factoring here. Factor 2x out of each term, obtaining

f(x) - g(x) = 2x(2x^2 + x + 1)

First setting 2x = 0, we find that x = 0 is one solution.

Applying the quadratic formula to 2x^2 + x + 1, we see that a = 2, b = 1 and c = 1. Then the two roots of this quadratic are:

-1 plus or minus √(1^2 - 4(2)(1) ) -1 ± √(8)

x = ----------------------------------------------- = ---------------

2(1) 2

This simplifies to:

-1 plus or minus √(1^2 - 4(2)(1) ) -1 ± 2√(2)

x = ----------------------------------------------- = ---------------

2(1) 2

Thus, the roots of f(x) - g(x) are { -0.5 - √2, 0, -.5 + √2 }

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4 years ago

Wyatt is flying a kite in the park. The kite is a horizontal distance of 24 feet from Wyatt's position and a vertical distance o

Paraphin [41]

If you are asking how long the string is or the hypotenuse it would be about 75.89466

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3 years ago

Can you help me plz

Gelneren [198K]

i think the answer would be C

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4 years ago

Yvonne is interested in testing the effectiveness of a new flea medication on dogs, so she divided some dogs with fleas into two

meriva

Actually, the real answer is "NO, BECAUSE GROUP B SHOULD BE THE CONTROL GROUP". Since Yvonne gave the flea medication to the group A, and we need a control group. If you don't know what it's the control group, it's the group that they don't put the experiment on, just to see if the group(s) being experimented, had any positive or negative changes. In a short summary they need group B to stay like they are to compare it to the experimented group (group A)

Good Luck!

7 0

3 years ago

Read 2 more answers

A woman bought some large frames for $10 each and some small frames for $5 each add a closeout sale if she bought 20 frames for

vampirchik [111]

Answer:

The quantity of large frames is 7

The quantity of small frames is 13

Step-by-step explanation:

Given as :

The price of each large frames = $ 10

The price of each small frames = $ 5

The total number of both frames bought = 20

The price for both the frames = $ 135

Now,

Let the quantity of large frames = L

And The quantity of small frames = S

So , According to question

The total number of both frames bought = 20

Or, The quantity of large frames + the quantity of small frame = 135

Or, L + S = 20 ......A

And $ 10 L + $ 5 S = $ 135 ................B

Or, $ 10× ( L + S ) = $ 10× 20

Or, $ 10 L + $ 10 S = $ 200

( $ 10 L + $ 10 S ) - ( $ 10 L + $ 5 S ) = $ 200 - $ 135

Or , ( $ 10 L - $ 10 L ) + ( $ 10 S - $ 5 S ) = $ 65

Or, 0 + 5 S = 65

∴ S = $\frac{65}{5}$

I.e S = 13

So, The quantity of small frames = S = 13

Put the Value of S in eq A

So , L + S = 20

Or, L = 20 - S

Or, L = 20 - 13

∴ L = 7

So, The quantity of large frames = L = 7

Hence The quantity of large frames is 7

And The quantity of small frames is 13 Answer

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3 years ago