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Lina20 [59]
3 years ago
15

Number 12.

Mathematics
1 answer:
const2013 [10]3 years ago
6 0

D

given the 2 equations

x + 2y = - 8 → (1)

- 4x + y = 5 → (2)

multiply (1) by 4

4x + 8y = - 32 → (3)

add (2) and (3) term by term to eliminate term in x

9y = - 27 ( divide both sides by 9 )

y = - 3

substitute y = - 3 in either (1) or (2) and solve for x

(1) : x - 6 = - 8 ( add 6 to both sides )

x = - 2

solution is (- 2, - 3 ) → D


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10 points
marishachu [46]

Answer:

150+12x=630

Step-by-step explanation:

The x represents the amount of months and it is multiplied by 12 because each month costs 12$. 150 have to be paid up front and this added to the monthly fee is equal to 630$

3 0
3 years ago
What is the solution of the system of equations c + 4d = 8 and c = 4d - 6
Tema [17]
Rewrite the second equation in same form as the first So we have

c + 4d = 8

c - 4d = -6     Now add:-

2c + 0 = 2
2c = 2

c = 1  

Now substitute c = 1 in the first equation:-

1 + 4d = 8
4d = 7

d =  7/4  = 1 3/4

Answer c = 1 and d = 1 3/4  Answer
3 0
3 years ago
Read 2 more answers
5 Find the area of the polygon.
ikadub [295]
The answer is a and if not D
3 0
3 years ago
What is the inverse of the function f(x) = 2x + 1?
Luda [366]

Answer:

f^{-1}(x)=\frac{1}{2}x-\frac{1}{2} ⇒ answer 1

Step-by-step explanation:

* Lets explain how to find the inverse of a function

- To find the inverse of a function :

# Write y = f(x)

# Switch the x and y

# Solve to find the new y

# The new y is f^{-1}

* Lets solve the problem

∵ f(x) = 2x + 1

- Put y = f(x)

∴ y = 2x + 1

- Switch x and y

∴ x = 2y + 1

- Solve to find the new y

∵ x = 2y + 1

- Subtract 1 from both sides

∴ x - 1 = 2y

- Divide both sides by 2

∴ (x - 1)/2 = y

- Divide each term in the left hand side by 2

∴ y = 1/2 x - 1/2

- Replace y by f^{-1}

∴ f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}

* The inverse of the function is f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}

7 0
3 years ago
Read 2 more answers
Find the length of the missing side
inn [45]
<h3>Answer:  9</h3>

================================================

Work Shown:

a = unknown  = leg #1

b = 12  = leg #2

c = 15 = hypotenuse

Plug those values into the pythagorean theorem and solve for 'a'

a^2 + b^2 = c^2

a^2 + (12)^2 = (15)^2  .... substitution

a^2 + 144 = 225

a^2 = 225 - 144  ... subtracting 144 from both sides

a^2 = 81

a = sqrt(81)  .... applying square root to both sides

a = 9

7 0
3 years ago
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