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Stella [2.4K]
3 years ago
15

Write an equation for the relationship between the number of cups of blue paint, x, and the number of cups of red paint, y in th

e table in #3.
Hint: Use the formula y = kx

Mathematics
2 answers:
Alla [95]3 years ago
8 0

Answer:

Step-by-step explanation:

A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint.

kramer3 years ago
4 0
Write an equation for the relationship between the number of cups of blue paint, x, and the number of cups of red paint, y in the table in #3.
Hint: Use the formula y = kx
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James average was a 73 first semester and 88 second semester. find the percent change.
Jobisdone [24]

Answer:

20.54%

Step-by-step explanation:

the first thing to know the percentage change, is to notice if the average increased or decreased, if it was initially 73 and then 88, we can say that increase, therefore the change is positive, now to calculate the exact change we must calculate the quotient of these numbers:

88/73 = 1.2054

which means that 0.2054 is the proportion of increase, to pass it to a percentage we must multiply by 100, that is:

0.2054 * 100 = 20.54%

which means that the percentage change was 20.54%

8 0
4 years ago
Read 2 more answers
This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?
AnnZ [28]

Answer:

\textsf{Factored form}: \quad f(x)=2x(x-4)

\textsf{Vertex form}: \quad f(x)=2(x-2)^2-8

Step-by-step explanation:

<u>Factored form of a quadratic function</u>

f(x)=a(x-p)(x-q)

where:

  • p and q are the x-intercepts
  • a is some constant

Given x-intercepts:

  • (0, 0)
  • (4, 0)

Therefore:

\implies f(x)=a(x-0)(x-4)

\implies f(x)=ax(x-4)

To find a, substitute the given vertex (2, -8) into the equation and solve for a:

\implies 2a(2-4)=-8

\implies -4a=-8

\implies a=2

Therefore, the function's equation in factored form is:

f(x)=2x(x-4)

<u>Vertex form of a quadratic equation</u>

<u />f(x)=a(x-h)^2+k

where:

  • (h, k) is the vertex
  • a is some constant

Given:

  • vertex = (2, -8)

Therefore:

\implies f(x)=a(x-2)^2-8

To find the constant a, substitute one of the x-intercepts into the equation and solve for a:

\implies a(0-2)^2-8=0

\implies 4a-8=0

\implies a=2

Therefore, the function's equation in vertex form is:

f(x)=2(x-2)^2-8

4 0
2 years ago
Read 2 more answers
Mrs. Joyce calculated the class mode on her latest test. 18 students took it and the mode was 83. Three days later the four abse
Mariana [72]

Answer:

83 is still the mode

Step-by-step explanation:

4 0
3 years ago
Which expression is the same as 1/5 of 7?<br> A. 1/5 x 1/7<br> B. 5 ÷ 7<br> C. 7 ÷ 5<br> D. 1/7 of 5
lilavasa [31]

Answer:

1/5 of 7 can also be written as

C. 7/5

3 0
3 years ago
A manufacturer spends $12000 in parts to build a car, they then go and sell that car for $25000. What percentage of profit did t
lora16 [44]

Answer:

108.3%

Step-by-step explanation:

The manufacturer spends $12,000 in buying the car parts and sells the car for $25,000

Selling price= $25,000

Cost price=$12,000

Gain= selling price-cost price

= 25000-12000

= $13000

The percentage profit can be calculated by applying the formular below

Profit= Gain/cost price×100/1

=13000/12000×100/1

=1.083×100

= 108.3%

Hence the percentage profit is 108.3%

6 0
3 years ago
Read 2 more answers
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