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IRINA_888 [86]
2 years ago
6

Which function is equivalent to f(x) = -4(x + 7) – 6?

Mathematics
1 answer:
stellarik [79]2 years ago
4 0

Answer:

f(x) = - 4x - 34

Step-by-step explanation:

Given

f(x) = - 4(x + 7) - 6 ← distribute parenthesis

     = - 4x - 28 - 6 ← collect like terms

     = - 4x - 34

You might be interested in
Find all solutions to the following system of equations -y²+6y+x-9=0 ; 6y=x+27.Illustrate with a graph.
Dimas [21]

Answer:

The solution to the system is the pair (9, 6)

Step-by-step explanation:

Hi!

First, let´s write the system of equations:

-y² + 6y + x -9 = 0

6y = x +27

The solutions of the system are the pairs (x, y) that satisfy both equations.

Let´s take the second equation and solve it for x:

6y = x +27

Subtract 27 from both sides of the equation

6y - 27 = x

Now, we can replace x in the first equation and solve it for y:

-y² + 6y + x -9 = 0

-y² + 6y + 6y - 27 -9 = 0

-y² + 12y - 36 = 0

Notice that -y² + 12y - 36 = -(y - 6)², then:

-(y - 6)² = 0

y - 6 = 0

y = 6

(alternatively you can solve the quadratic equation using the quadratic formula).

Now let´s find the value of x:

x = 6y -27

x = 6·6 -27

x = 9

The solution to the system is the pair (9, 6)

Please see the attached figure. The point where the curves intersect is the solution to the system.

6 0
3 years ago
15/3+30/3= how I can solve it ?
Kazeer [188]
15/3=5
30/3=10

5+10=15
3 0
3 years ago
How do you solve question 6
Nezavi [6.7K]

Answer:

check on the bus and I ha& ja ja is ox so

6 0
3 years ago
M ÷ n - 3 (m + n) with m=-10 and n=-2
avanturin [10]
Given:
m/n-3(m+n)
m=-10 and n=-2

Solving:

-10/-2-3(-10-2) Since m=-10 and n=-2, we substitute them in for the values since they have an equal relationship.

Now, follow Orders of Operations: PEMDAS


-10/-2-3(-12) Simplify parentheses (P)
There are no Exponents (E)
Multiplication (M) and Division (D) are =, so we do whatever operation comes from the left to right.
-10/-2=5 Division comes first on the left.
therefore:
5-3(-12)

-3(12)=-36, Multiplication is last on the right.
therefore:
5-36

5-36=-31 After M/D, we do Addition and Subtraction, which are also =, so we do them left to right.

Therefore -10/-2-3(-10-2)=-31
3 0
2 years ago
The length of a rectangle is one less than 50% of the width if the perimeter is 31 inches what is the area of the rectangle in f
DIA [1.3K]

Answer:

Area is 0.34 ft²

Step-by-step explanation:

A=L•w

P=2L+2w

L=w/2-1

31=2(w/2-1)+2w

31=w-2+2w

33=3w

11=w

L=w/2-1

=11/2-2/2

L=9/2

Aft=L/12•w/12

=(9/2)/12•11/12

Aft=0.34

3 0
3 years ago
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