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vredina [299]
3 years ago
14

Jeremy uses the linear function G = 12h + 50 to represent the grade, G (in points out of 100), that he can earn on an exam as a

function of h, the number of hours he spends studying for the exam.Identify the slope and y-intercept of Jeremy's function and explain what they mean in the context of the problem.
Mathematics
1 answer:
HACTEHA [7]3 years ago
8 0
G=12h+50! Hiiiiiiiiuu
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PLAYGROUND There are 87 children at a playground. There are 23 more boys than girls. How many of each are at the playground?
UNO [17]

Answer:

G=32 B=55

Step-by-step explanation:

55+32=87

I know this answer is right bc I got it right on my ws.

3 0
3 years ago
A gardener is planting two types of trees:
lara [203]

It will take exactly 4 years for these trees to be the same height

Step-by-step explanation:

A gardener is planting two types of trees:

  • Type A is 3 feet tall and grows at a rate of 7 inches per year
  • Type B is 5 feet tall and grows at a rate of 1 inches per year

We need to find in how many years it will take for these trees to be the

same height

Assume that it will take x years for these trees to be the same height

The height of a tree = initial height + rate of grow × number of years

Type A:

∵ The initial height = 3 feet

∵ 1 foot = 12 inches

∴ The initial height = 3 × 12 = 36 inches

∵ The rate of grows = 7 inches per year

∵ The number of year = x

∴ h_{A} = 36 + (7) x

∴ h_{A} = 36 + 7 x

Type B:

∵ The initial height = 5 feet

∴ The initial height = 5 × 12 = 60 inches

∵ The rate of grows = 1 inches per year

∵ The number of year = x

∴ h_{B} = 60 + (1) x

∴ h_{B} = 60 + x

Equate h_{A} and h_{B}

∴ 36 + 7 x = 60 + x

- Subtract x from both sides

∴ 36 + 6 x = 60

- Subtract 36 from both sides

∴ 6 x = 24

- Divide both sides by 6

∴ x = 4

∴ The two trees will be in the same height in 4 years

It will take exactly 4 years for these trees to be the same height

Learn more:

You can learn more about the rate in brainly.com/question/10712420

#LearnwithBrainly

3 0
3 years ago
At a movie theater, 360 people can see a particular movie over a period of 3 hours. At this
Agata [3.3K]

Answer:233

Step-by-step explanation:cause i said so

7 0
3 years ago
Read 2 more answers
What is: mom my (who left me) + my dad (who left me) =???
BabaBlast [244]

Answer:  most likely he left because of your mom. You never know she might even be the one that told him to leave you don't know the whole story.

Step-by-step explanation:

that happened to me my mom told me that my dad left because he didnt care about me but my mom really told him to leave and never contact her about me again

6 0
2 years ago
The graph of a sinusoidal function has a minimum point at (0,3)(0,3) and then intersects its midline at (5π,5)
bekas [8.4K]

Answer: F(x) = 2*sin(x/10  +(3/2)*pi) + 5

Step-by-step explanation:

The information that we have is that:

We have a minimum at (0, 3)

the midline is at (5*pi, 5)

This is a sinusoidal function, so we can write one generic one as:

F(x) = A*sin(c*x + p) + B.

where A and B are constants, c is the frequency and p is a phase

First, the minimum of the sine function is when sin(x) = -1, and this happens at (3/2)*pi

We know that this minimum is at x = 0.

sin(c*0 + p) = -1

Then p = 3/2*pi.

So our function is:

F(x) = A*sin(c*x  +(3/2)*pi) + B.

Now, we know that F(0) = 3, so:

3 = A*sin(c*0 +(3/2)*pi) + B = -A + B.

now we can use the other hint, the midpoint of the sine function is when sin(x) = 0, and this happens at x = 0 and x = pi, particularlly as we here have a phase of 3/2*pi, we should find x = 2*pi.

then:

c*5*pi + (3/2)*pi = 2*pi

c*5 + 3/2 = 2

c*5 = 2 - 3/2 = 1/2

C = 1/2*5 = 1/10

So our function is

F(x) = A*sin(x/10  +(3/2)*pi) + B

and we know that when x = 5*pi, F(5*pi) = 5, so:

5 = F(x) = A*sin(5*pi/10  +(3/2)*pi) + B

5 = B

and we aready knew that:

- A + B = 3

-A + 5 = 3

A = 5 - 3 = 2

So our equation is:

F(x) = 2*sin(x/10  +(3/2)*pi) + 5

8 0
3 years ago
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