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amm1812
4 years ago
9

A system of inequalities is shown below.

Mathematics
2 answers:
Drupady [299]4 years ago
8 0
Points of intersection is (6,1)
marissa [1.9K]4 years ago
5 0

Answer:

ccc

Step-by-step explanation:

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Given that f(x) = x2 + 5x + 6 and g(x) = x + 2, find (fºg)(x) and
PolarNik [594]

Answer:

(f\circ g)(x)=x^2+9x+20

Step-by-step explanation:

We have the two functions:

f(x)=x^2+5x+6\text{ and } g(x)=x+2

And we want to find:

(f\circ g)(x)

This is equivalent to:

(f\circ g)(x)=f(g(x))

Therefore, we will have:

f(x+2)

By substitution:

f(x+2)=(x+2)^2+5(x+2)+6

Simplify. Square and distribute:

f(x+2)=(x^2+4x+4)+(5x+10)+6

Rearrange:

f(x+2)=(x^2)+(4x+5x)+(4+10+6)

Combine like terms:

f(x+2)=(f\circ g)(x)=x^2+9x+20

7 0
3 years ago
Use mental math to solve the equation z/-12 = -5
Illusion [34]
Z=60

because
z/-12 = -5
z= (-5)(-12)
z= 60
7 0
3 years ago
David currently has a square garden. He wants to redesign his garden and make
Blizzard [7]

Answer:

Hence new dimension of new garden is 27 by 51

Step-by-step explanation:

Initial dimension of his square garden = X by X

Final dimension of his rectangular garden = L by B

Perimeter of his garden = 60 = 4X

Hence X = 60/4 = 15 ft

Area of the square garden = 15 x 15 = 225 ft²

New garden dimensions

L + 3 = 2W-----------------Eqn 1

2(L+W) = 60---------------Eqn 2 (since both shapes have the same perimeter)

solving both equations simultaneously

From equation one L = 2W-3, it's now substituted into equation 2

from equation 2, 2L+2W= 60

Hence 2(2W-3) + 2W = 60

W = 27 ft

L= 2(27)-3= 51 ft

Hence length and breadth of new garden is 27 by 51

4 0
3 years ago
Read 2 more answers
MOST REASONABLE ANSWER GETS BRAINLIEST !! YOU ALSO GET 100 POINTS!!
Len [333]

Answer:

$2.99

Step-by-step explanation:

P.S. if that is u in your pfp you are rlly pretty

3 0
3 years ago
How many solutions does the equation 9x-3(x+8)=6x-24
Marina86 [1]
Simplifying
9x + -3(x + 8) = 6x + -24

Reorder the terms:
9x + -3(8 + x) = 6x + -24
9x + (8 * -3 + x * -3) = 6x + -24
9x + (-24 + -3x) = 6x + -24

Reorder the terms:
-24 + 9x + -3x = 6x + -24

Combine like terms: 9x + -3x = 6x
-24 + 6x = 6x + -24

Reorder the terms:
-24 + 6x = -24 + 6x

Add '24' to each side of the equation.
-24 + 24 + 6x = -24 + 24 + 6x

Combine like terms: -24 + 24 = 0
0 + 6x = -24 + 24 + 6x
6x = -24 + 24 + 6x

Combine like terms: -24 + 24 = 0
6x = 0 + 6x
6x = 6x

Add '-6x' to each side of the equation.
6x + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
0 = 6x + -6x

Combine like terms: 6x + -6x = 0
0 = 0

Solving
0 = 0
7 0
3 years ago
Read 2 more answers
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