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JulsSmile [24]
2 years ago
14

A line passes through the point (–7, 5) and has a slope of 1/2. Which is another point that the line passes through?

Mathematics
1 answer:
Andrej [43]2 years ago
7 0
The answer to this question is (9,13). Here's how:
First thing you need to do is find the equation. You have a coordinate point and the slope. Remember a linear equation or formula is y=mx+b (m= slope and b= y-intercept)

So let's input the slope into the equation:
y=1/2x+b or y=0.5x+b
Notice how there is no b yet? That's because you need to find it. Good thing you have the coordinate points, so replace x and y with it. ( (x,y) = ( -7, 5) )

5=0.5(-7)+b
5= -3.5+b
+3.5 +3.5
b= 8.5
The equation is now y=0.5x+8.5 and with that equation you can now input it in a calculator to find which of the following coordinate points lies on. Or you can just input those points into the calculator. Which I did because I love to show my work. I have a picture of the work included and I really do hope I helped you. If not, message me. I'll be glad you to help you!

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Manny bought a brand new car in 2012 for $28,750. If the car depreciates by 12% each year, write an exponential function to mode
patriot [66]
The exponential formula for this situtation will be given by:
f(x)=ae^(-bx)
where:
a=initial price
b=rate
x=time in years
hence the formula will be:
f(x)=28750e^(-0.12x)
thus the value of the car in 2018 will be:
x=2018-2012=6 years
thus
f(6)=28750e^(-0.12*6)
f(6)=$13,994.13
5 0
3 years ago
When testing the differences between means, the null hypothesis suggests that any observed difference is due to?
ollegr [7]

When testing the differences between means, the null hypothesis suggests that any observed difference is due to random error.

What is hypothesis testing?

Hypothesis testing is a form of interference that uses data from a given data set or sample to derive meaningful results or conclusions about population distribution.

What is a Null hypothesis?

A null hypothesis is a type of assumption in statistics that proposes that for a given set of data or observations, there is no statistical significance or it shows that there is no difference.

It is a quantitative analysis. It is denoted by H0.

What is mean?

The mean is the average for a given number of samples in the sample solution. The mean can also be derived from the normal distribution graph.

Hence when testing the differences between means, the null hypothesis suggests that any observed difference is due to random error.

Know more about “hypothesis” here: brainly.com/question/17099835

#SPJ4

5 0
1 year ago
One of the roots of the quadratic equation x2−5mx+6m2=0 is 36. Find the greatest possible value of the second root. Help needed
Ivenika [448]
<h2>The greatest possible value of the second root, β = 54 </h2>

Step-by-step explanation:

The given quadratic equation:

x^2-5mx+6m^2=0

Let α and β be the roots of the given quadratic equation.

α = 36

To find,  the greatest possible value of the second root ( β) = ?

∴ The sum of the roots,

α + β = \dfrac{-b}{a}

⇒ 36 + β = \dfrac{-(-5m)}{1}

⇒ 5m = 36 + β               ............. (1)

The product of the roots,

α.β = \dfrac{c}{a}

⇒ 36.\beta=\dfrac{6m^2}{1}

⇒ 6.\beta=m^2                   ............. (2)        

From equations (1) and (2), we get  

⇒ (\dfrac{36+\beta}{5})^{2}=6\beta

⇒ \beta^2-78\beta+1296=0

⇒ \beta^2-54B\beta-24B\beta+1296=0

⇒ β(β - 54) - 24(β - 54) = 0

⇒ (β - 54)(β - 24) = 0

⇒ β - 54 = 0 or, β - 24 = 0

⇒ β = 54 or, β = 24

∴  The greatest possible value of the second root, β = 54

4 0
3 years ago
When using the ___ method to determine pricing, a manager my use an approved operating budget to choose a
timurjin [86]

Answer:

2

Step-by-step explanation:

4 0
2 years ago
The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by fact
alex41 [277]

Answer:

X * (X +1) = 420

X^2 + X = 420

X^2 + X -420 = 0

X = 20

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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