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katrin2010 [14]
3 years ago
14

F(x) = 3x + 5 g(x) = 4x² – 2 h(x) = x - 3x + 1 Find f(x) – g(x) - h(x).

Mathematics
2 answers:
andrey2020 [161]3 years ago
8 0

Answer:

\large\boxed{f(x)-g(x)-h(x)=-5x^2+6x+6}

Step-by-step explanation:

f(x)=3x+5\\\\g(x)=4x^2-2\\\\h(x)=x^2-3x+1\\\\f(x)-g(x)-h(x)=(3x+5)-(4x^2-2)-(x^2-3x+1)\\\\=3x+5-4x^2-(-2)-x^2-(-3x)-1\\\\=3x+5-4x^2+2-x^2+3x-1\qquad\text{combine like terms}\\\\=(-4x^2-x^2)+(3x+3x)+(5+2-1)\\\\=-5x^2+6x+6

drek231 [11]3 years ago
5 0

Answer:

- 5x² + 6x + 6

Step-by-step explanation:

f(x) - g(x) - h(x)

= 3x + 5 - (4x² - 2) - (x² - 3x + 1) ← distribute parenthesis

= 3x + 5 - 4x² + 2 - x² + 3x - 1 ← collect like terms

= - 5x² + 6x + 6 ← in standard form

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find the area of the shape below
Norma-Jean [14]

Answer:

235 cm²

Step-by-step explanation:

Find area of the large rectangle on the bottom. To do that, find its length and width, then multiply them together.

Length of big rectangle=20 cm

Width of big rectangle=9 cm

20x9=180 cm²

Next, find the area of the small rectangle on the top. To do that, find its length and width, then multiply them together.

Length of small rectangle=11 cm

Width of small rectangle=5 cm

I found the width by subtracting 9 from 14, since the 9 cm is part of the large rectangle.

11x5=55 cm²

Add the areas of the two rectangles.

55+180=235 cm²

5 0
2 years ago
An animal shelter has 36 pets available for adoption. ¼ of them are puppies. How many are puppies?
icang [17]

Answer:

9.

Step-by-step explanation:

36 * 1/4

= 36/4

=9.

8 0
2 years ago
Read 2 more answers
A rose garden is designed by joining a rectangle and a semicircle, as shown below. the rectangle is 31ft long and 19ft wide. if
Ipatiy [6.2K]
This problem is currently unsolvable as we do not know if the semi-circle has a radius of 31 or 19.
3 0
3 years ago
Simplify the expression
Nat2105 [25]

Answer:

8x - 4y

Step-by-step explanation:

<u>First: </u><u>solve the parentheses</u>

8x - 7y - (3-6y)

<u>Second:</u><u> combine like terms (terms that both have y or x, or other variable)</u>

8x - 7y - (-3y)

<u>Third:</u><u> there are no more like terms, so you are left with this as your answer</u>

8x - 4y

7 0
1 year ago
If $700 is invested in an account that pays 3% compounded annually, the total amount, A(t), in the account after t years is Ant
Arisa [49]

Answer:

21.96 ; 24.72

Step-by-step explanation:

Given that :

Give the equation:

A(t) = 700(1.03)^t

A.)

Average rate of change over the first 4 years ;

(t=0 to t=4)

At t = 0

A(0) = 700(1.03)^0 = 700

A(1) = 700(1.03)^1 = 721

A(2) = 700(1.03)^2 = 742.63

A(3) = 700(1.03)^3 = 764. 9089

A(4) = 700(1.03)^4 = 787.856167

[(721 - 700) + (742.63 - 721) + (764.9089 - 742.63) + (787.856167 - 764.9089)] / 4

= 87.856167 / 4

= 21.96404175

= 21.96

Over the 2nd 4 years :

A(4) = 700(1.03)^4 = 787.856167

A(5) = 700(1.03)^5 = 811.49185201

A(6) = 700(1.03)^6 = 835.8366075703

A(7) = 700(1.03)^7 = 860.911705797409

A(8) = 700(1.03)^8 = 886.73905697133127

[(811.49185201 - 787.856167) + (835.8366075703 - 811.49185201) + (860.911705797409 - 835.8366075703) + (886.73905697133127 - 860.911705797409)] / 4

= 98.88288997133127 / 4

= 24.72

7 0
2 years ago
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