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grin007 [14]
2 years ago
9

Distribute 6(c - 3)?

Mathematics
1 answer:
Ilya [14]2 years ago
7 0

Answer: The blue diamond "6c-18"

Step-by-step explanation:

Because the 6 would distribute with the c, so 6c, then it would distribute with the 3, which would be 18, because 6x3=18. Then the equation becomes 6c-18

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16) A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by E'(x) =
erastova [34]

Answer:

$61

Step-by-step explanation:

Given

Number of days, x = 5

Expenditure per day, E'(x) = 10x + 11

Required

Determine the expenditure per day (E'(x))

From the question, we have that

E'(x) = 10x + 11

Substitute 5 for x

E'(5) = 10 * 5 + 11

E'(5) = 50 + 11

E'(5) = 61

Hence, the expenditure for 5 days is $61

3 0
3 years ago
Graph this function using intercepts Solve 10x+9y=-90
Alex17521 [72]

Answer:

Step-by-step explanation:

So first, lets solve for the intercepts.

Let’s start by finding the x intercept.

Plug in 0 for y.

10x+9(0)=-90

10x=-90

X=-9, so your first point on your line will be (-9,0).

Now the y intercept.

Plug in 0 for x.

10(0)+9y=-90

9y=-90

Y=-10, so your second point on your line will be (0,-10).

Use those points to create your line.

6 0
2 years ago
Margaret goes to the county fair with $35. Rides cost $3 each. Write an equation that gives the amount of money m that Margaret
Oksi-84 [34.3K]

Answer:

11.

Step-by-step explanation:

I got the answer of 11, as I:

-First, I worked out how many rides Margaret would be able to go on, so I did $35 -/- $3, which was a decimal, but the most amount of times would be 11 rides that she could go on, therefore, that's the amount of rides she would take, and have $2 left over.

Hope this helps!

--Emilie Xx

3 0
2 years ago
Read 2 more answers
If 8 identical blackboards are to be divided among 4 schools,how many divisions are possible? How many, if each school mustrecei
MAXImum [283]

Answer:

There are 165 ways to distribute the blackboards between the schools. If at least 1 blackboard goes to each school, then we only have 35 ways.

Step-by-step explanation:

Essentially, this is a problem of balls and sticks. The 8 identical blackboards can be represented as 8 balls, and you assign them to each school by using 3 sticks. Basically each school receives an amount of blackboards equivalent to the amount of balls between 2 sticks: The first school gets all the balls before the first stick, the second school gets all the balls between stick 1 and stick 2, the third school gets the balls between sticks 2 and 3 and the last school gets all remaining balls.

 The problem reduces to take 11 consecutive spots which we will use to localize the balls and the sticks and select 3 places to put the sticks. The amount of ways to do this is {11 \choose 3} = 165 . As a result, we have 165 ways to distribute the blackboards.

If each school needs at least 1 blackboard you can give 1 blackbooard to each of them first and distribute the remaining 4 the same way we did before. This time there will be 4 balls and 3 sticks, so we have to put 3 sticks in 7 spaces (if a school takes what it is between 2 sticks that doesnt have balls between, then that school only gets the first blackboard we assigned to it previously). The amount of ways to localize the sticks is {7 \choose 3} = 35. Thus, there are only 35 ways to distribute the blackboards in this case.

4 0
3 years ago
If alpha and beta are the zeroes of the polynomial f(x)= xsquare -8x +gamma such that alpha - beta = 2 find the value of gamma.
Komok [63]

Answer:

Γ = 15

Step-by-step explanation:

Given

f(x) = x² - 8x + Γ

with a = 1, b = - 8 and c = Γ , then

sum of zeros α + β = - \frac{b}{a} = - \frac{-8}{1} = 8

product of zeros = αβ = \frac{c}{a} = Γ

Given α - β = 2 , then

(α - β)² = 2²

α² - 2αβ + β² = 4 → (1)

and

(α + β)² = 8²

α² + 2αβ + β² = 64 → (2)

Add (1) and (2) term by term

2α² + 2β² = 68 ( divide through by 2 )

α² +β² = 34

Substitute α² + β² = 34 into (1)

34 - 2αβ = 4 ( subtract 34 from both sides )

- 2αβ = - 30 ( divide both sides by - 2 )

αβ = 15

Now

αβ = Γ = 15

Thus

f(x) = x² - 8x + 15

4 0
3 years ago
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