What is the solution to the equation -5 =8m +12 /4

Answers

Answer 1

Answer: m = -1

-5 = 8m + 12/4
-5 - 12/4 = 8m
4(-5) - (12/4) = 4(8m)

*to remove the denominator, multiply each figure by 4.

-20 -12 = 32m
-32 = 32m
-32/32 = 32m/32
-1 = m

m = -1

To check:

-5 = 8m + 12/4
-5 = 8(-1) + 3
-5 = -8 + 3
-5 = -5

Answer 2

Answer: $-5 =8m + (12)/(4) \n \n -5 = 8m + 3 \n \n -5 - 3 = 8m \n \n -8 = 8m \n \n - (8)/(8) =m \n \n -1 = m \n \n m = -1 \n \n Answer: \fbox {m = -1}$

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Which of the following expressions results in 0 when evaluated at x = 4?O A. (x - 10)(x - 4)
OB. (x + 4)(x - 10)
O C.
(x + 6)(x - 2)
OD. 4x(x-6)

Answers

Answer:

A. (x - 10)(x - 4)

Step-by-step explanation:

Let x=4

O A. (4 - 10)(4 - 4) = -6 * 0 = 0

OB. (4 + 4)(4 - 10) = 8* -6 = -48

O C.(4 + 6)(4 - 2) = 10 * 2 = 20

OD. 4*4(4-6)=16*-2 = -32

Answer:

A. (x - 10)(x - 4)

Step-by-step explanation:

The product is 0 if one of the factors is 0.

(4 - 10)(4 - 4)

= (4 - 10)*0

= 0

WILL GIVE BRAINLIEST ANSWER! Given the parent function f(x)=|x|, which equation would occur if the function is vertically compressed by 13, shifted down 6 units, and shifted right 5?

f(x)=3|x+5|−6

f(x)=13|x−5|−6

f(x)=13|x+5|−6

f(x)=13|x−6|+5

Answers

$f(x)=13|x-5|-6$ is the equation represented by all the operations.

Step-by-step explanation:

The given function is

$f(x)=|x|$

It is vertically compressed by a factor of 13 then the function becomes,

$f(x)=13|x|$

It shifted down 6 units, then the function becomes,

$\mathbf{f}(\mathbf{x})=\mathbf{1 3}|\boldsymbol{x}|-\boldsymbol{6}$

It shifted right by 5 units then the function becomes,

$f(x)=13|x-5|-6$

Thus the resultant equation thus obtained is $f(x)=13|x-5|-6$

A salesperson receives a base salary of $35,000 and a commission of 10% of the total sales for the year. a.) Write a linear model that shows the salesperson’s total income based on total sales of k dollars. b.) If the salesperson sells $250,000 worth of merchandise, what is her total income for the year, including her base salary?

Answers

Answer:

Part a) The linear model that shows the salesperson’s total income is equal to

$0.10k+\$35,000$

Part b) The total income is $\$60,000$

Step-by-step explanation:

Part a)

Let

k-------> the total sales for the year

y-----> the total income for the year

we know that

The linear equation that represent the situation is

$y=0.10k+\$35,000$

Part b) we have

$k=\$250,000$

substitute the value of k in the linear model to find the total income

$y=0.10(\$250,000)+\$35,000$

$y=\$25,000+\$35,000$

$y=\$60,000$

Final answer:

The salesperson's income is represented by the linear model y = 35000 + 0.10k. If they sell $250,000 of merchandise, their total income, including salary and commission, would be $60,000.

Explanation:

A) The total income of the salesperson can be represented by the linear equation y = 35000 + 0.10k, where y represents the total income including the base salary and commission, and k represents the total sales.

B) To calculate the total income for a certain amount of sales, you would substitute the total sales amount into the equation. If the salesperson sold $250,000 worth of merchandise, the total income would be y = 35000 + 0.10*250000 = 35000 + 25000 = $60,000.

The salesperson would earn a total of $60,000 including base salary and commission for the year for the sales of $250,000 worth of merchandise.

Learn more about Linear Model here:

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What is 6,372,079,003 in word form

Answers

six billion,three hundred seventy-two million, seventy-nine thousand,three

Hope this helps :D

Which is greater, 8/10 or 4/5?

Answers

They are equal 4/5=8/10

A vendor sells 60 pieces of fruit that are either apples or oranges. The ratio of apples to oranges is 3: 2. How many apples did the vendor sell? How many oranges did the vendor sell?

Answers

so 60 fruitsthe ratio is apples to oranges=3:2they are simplified so they have 3 apple units to 2 orange unitstherefor60=2+3=5 fruit unitsdividd 60 by 5 to find 1 fruit unit60/5=12apples=3 unitsapples=3 times 12=36oranges=2 unitsoranges=2 times 12=2436 apples and 24 oranges

ok so 3:2 is just the ratio and is a simplified answer and I am going to divide 60÷2 and 60÷3 to get my answer. So 60÷2=30 and 60÷3=20 so another way of saying 3:2 is 20:30 and since it is apples to oranges, there is 20 apples and there is 30 oranges.

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