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alisha [4.7K]
4 years ago
10

-5(a + 3) = -55 What is the value of a?

Mathematics
1 answer:
Kobotan [32]4 years ago
5 0

Answer:

a=8

Step-by-step explanation:

-5(a+3)=-55

First you times the bracket by -5

-5a-15=-55

Then you add the 15 to -55 because since the 15 is a negative on the right it has to be the opposite to the left

-5a=-40

Then you divide both sides by negative 5

-5a .     = .      -40  

---------         ----------

- 5                    -5

a= 8

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(09.02 HC)
zlopas [31]

Answer:

Vertex = (12,64)

The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.

X-intercepts: 4 and 20

The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.

Step-by-step explanation:

To find the vertex we can use the formula for the x-coordinate of the vertex:

x_v = -b/2a

Where a and b are coefficients of the quadratic equation (in this case, a = -1 and b = 24)

So we have that:

x_v = -24 / (-2) = 12

The vertex is 12 cups of coffee. Now we apply this value to find the y-coordinate of the vertex:

f(x) = -12^2 + 24*12 - 80 = 64

So the vertex is (12,64). The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.

To find the x-intercepts, we need to make f(x) = 0 and find the values of x:

-x2 + 24x - 80 = 0

Delta = 24^2 - 80*4 = 256

sqrt(Delta) = 16

x1 = (-24 + 16)/(-2) = 4

x2 = (-24 - 16)/(-2) = 20

The x-intercepts are 4 and 20. The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.

5 0
3 years ago
Mr. Johnson sells erasers for $3 each. He sold 96 erasers last week and he sold 204 erasers this week. About how much more money
JulijaS [17]
96*3=288
204*3=612
612-288=324

He made $324 more
5 0
4 years ago
Read 2 more answers
How to subtract an integer
Evgesh-ka [11]
<span>If both signs are positive, the answer will be positive. Example: 14 - (-6) = 14 + 6 = 20.If both signs are negative, the answer will be negative. ... <span>If the signs are different subtract the smaller absolute value from the larger absolute value.</span></span>Is what I found
3 0
3 years ago
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Solve the system by substitution.<br> y = 8x<br> y = 10x - 4<br> Submit Answer
erik [133]

Answer:

x=1, y=8

Step-by-step explanation:

Plug y=8x into y=10x-4.

8x=10x-4

Subtract 10x from each side.

-2x=-2

Divide each side by -2.

x=1

Plug x=1 into y=8x.

y=8(1)

y=8

5 0
4 years ago
Please help me ..............................
Nikitich [7]
Question 1 is the correct answer
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3 years ago
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