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iren2701 [21]
2 years ago
6

Select the correct answer from each drop-down menu.

Mathematics
1 answer:
olchik [2.2K]2 years ago
8 0

For the linear function in the graph, we have that:

  • The slope is of 3.
  • The y-intercept is of -4.
  • The equation of the line is: y = 3x - 4.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The line goes through point (0,-4), hence:

The y-intercept is of -4.

The function also goes through point (2,2), hence the slope is:

m = (2 - (-4))/(2 - 0) = 6/2 = 3.

Then, the equation of the line is:

y = 3x - 4.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

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A soccer ball is kicked from 3 feet above the ground. the height,h, in feet of the ball after t seconds is given by the function
dexar [7]
Here's our equation.

h=-16t+64t+3

We want to find out when it returns to ground level (h = 0)

To find this out, we can plug in 0 and solve for t.

0 = -16t+64t+3 \\ 16t-64t-3=0 \\ use\ the\ quadratic\ formula\ \frac{-b\±\sqrt{b^2-4ac}}{2a}  \\ \frac{-(-64)\±\sqrt{(-64)^2-4(16)(-3)}}{2*16}  = \frac{64\±\sqrt{4096+192}}{32}

= \frac{64\±\sqrt{4288}}{32} = \frac{64\±8\sqrt{67}}{32} = \frac{8\±\sqrt{67}}{4} = \boxed{\frac{8+\sqrt{67}}{4}\ or\ 2-\frac{\sqrt{67}}{4}}

So the ball will return to the ground at the positive value of \boxed{\frac{8+\sqrt{67}}{4}} seconds.

What about the vertex? Simple! Since all parabolas are symmetrical, we can just take the average between our two answers from above to find t at the vertex and then plug it in to find h!

\frac{1}2(\frac{8+\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(2+\frac{\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(4) = 2

h=-16t^2+64t+3 \\ h=-16(2)^2+64(2)+3 \\ \boxed{h=67}


8 0
3 years ago
How do you solve 3y-2=8x-32
Liono4ka [1.6K]
Y=8/3x-10 is the answer in slope intercept form
4 0
3 years ago
A light bulb consumes 1440 watt-hours per day. How many watt-hours does it consume in 4 days and 18 hours.
dimaraw [331]

Answer:

6840

Step-by-step explanation:

Well we know there's 24 hours in a day so dividing that by 1440 we get 60. Now we know that it consumes 60 watts ever hour. so now we just have to figure out how many hours there are and times that by 60. So there are 96 hours in 4 days plus 28=114. So times that by 60 ( watts) 114×60=6840

So that's your awnser.

Hope this helps!! If so please mark brainliest and rate/heart to help my account if it did!!

6 0
3 years ago
PLEASE HELP!!!! WILL GIVE YOU BRAINLIEST!!
borishaifa [10]

The graph means that 2 x and 9.4 make up 20 in total, so set up the equation 2x + 9.4 = 20.

Subtract 9.4 from both sides.

2x = 10.6

Divide by 2.

x = 5.3

The answer is the value of x that makes this equation true is 5.3

Hope this helps

5 0
3 years ago
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How would you write the expression the sum of r and 16 divided by 4 PLZZZZZZZZZZ HELP I GOT 28 MINS LEFT
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Answer:

r+16÷4. hope this helps. brainliest is always appreciated :3

8 0
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