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nirvana33 [79]
3 years ago
9

How many solutions does the equation 2m + 4 (m — 3) = 7m — 4 have?

Mathematics
1 answer:
grandymaker [24]3 years ago
6 0
2m + 4 (m — 3) = 7m — 4
2m + 4m - 12 = 7m - 4
6m - 12 = 7m - 4
-6m         -6m

-12 = x - 4
+4        +4

-12 + 4 = x
x = -8

This has one solution. 

Answer: One solution 

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Daniel Potter bought a new car for $20,000.00. Two years later, he wanted to sell it. He was offered $14,650.00 for it. If he so
olga_2 [115]
Answer: 13.375% per year

Explanation:

1) Depreciation is the loss of value: $ 20,000.00 - $ 14,650.00 = $ 5,350

2) The percent of depreciation is amount of the depreciation divided by the value of the car when purchased, times 100.

That is (5,350 / $ 20,000) * 100 = 26.75 %

2) The rate is percent of depreciation per year:

depreciation rate = % of depreciation / number of years = 26.75%  / 2 = 13.375% per year.
5 0
3 years ago
Read 2 more answers
If (x + 2) is a factor of x3 − 6x2 + kx + 10, k =
ch4aika [34]

Answer:

The value of k is -11

Step-by-step explanation:

If (x+2) is a factor of x3 − 6x2 + kx + 10:

Then,

f(x)=x3 − 6x2 + kx + 10

f(-2)=0

f(-2)=(-2)³-6(-2)²+k(-2)+10=0

f(-2)= -8-6(4)-2k+10=0

f(-2)= -8-24-2k+10=0

Solve the like terms:

f(-2)=-2k-22=0

f(-2)=-2k=0+22

-2k=22

k=22/-2

k=-11

Hence the value of k is -11....

5 0
3 years ago
Find an equivalent expression to this: 3xy + 4x + 8 + ( -2 )​
Arlecino [84]
3xy + 4x -16 ...... I hope that helps .
7 0
3 years ago
Please help me with these problems :(<br><br>-random person who struggles in pre algebra
yKpoI14uk [10]
Hope these help:
#9 
a-4 divided by 5 = 12
5*12 is 60 
60+4 is 64
60 (final answer for a)
#10
n+3 divided by 8 = -4
8*(-4) =  -32
-32 + 3 = -35
 -32 (final answer for n)
#11
6+z divided by 10 = -2
-2 * 10 = -20
-20=6=-26
-20 (final answer for z)
btw, can't see diagram
8 0
3 years ago
A variable needs to be eliminated to solve
lesya692 [45]

Answer:

(7, - 7 )

Step-by-step explanation:

- 4x + y = - 35 → (1)

- 2x - y = - 7 → (2)

adding the 2 equations term by term will eliminate the y- term

(- 4x - 2x) + (y - y) = - 35 - 7

- 6x + 0 = - 42

- 6x = - 42 ( divide both sides by - 6 )

x = 7

substitute x = 7 into either of the 2 equations and solve for y

substituting into (1)

- 4(7) + y = - 35

- 28 + y = - 35 ( add 28 to both sides )

y = - 7

solution is (7, - 7 )

6 0
3 years ago
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