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kobusy [5.1K]
3 years ago
11

Rachel runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?

Mathematics
1 answer:
Naily [24]3 years ago
5 0

Answer: 4.2 miles

Step-by-step explanation:

So she ran 6 miles in 50 minutes how long will she run in 35 minutes?

So the equation will therefore be:

6=50

x=35

Cross multiply

6 x 35 = 50x

210 = 50x

Divide both sides by 50

The answer is 4.2 miles

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Answer: 1, 4, -7

Step-by-step explanation:

Coefficients are numbers that are in front of a variable. Let's first determine the terms that have variables in them.

z, 4z², -7a

Since these all have variables in the terms, we know the coefficients are 1, 4, -7.

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3 years ago
1.) Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth .x squared minus 21 x equals n
Andrew [12]
Part 1
We are given x^2-21x=-4x. This can be rewritten as x^2-18x=0.
Therefore, a=1, b=-18, c=0.
Using the quadratic formula
     x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-\left(-18\right)\pm \sqrt{\left(-18\right)^2-4\left(1\right)\left(0\right)}}{2\left(1\right)}
     x=\frac{18\pm 18}{2}

The values of x are
     x_1=\frac{18-18}{2}=0
     x_2=\frac{18+18}{2}=18

Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function. 

Part 3.
The first equation is y=x^2+2.
The second equation is y=3x+20.

We have 
     x^2+2=3x+20
     x^2-3x-18=0
Factoring, we have 
     \left(x-6\right)\left(x+3\right)=0
Equating both factors to zero.
     x_1-6=0\rightarrow x_1=6
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When the value of x is 6, the value of y is 
     y=3\left(6\right)+20=38

When the value of x is -3, the value of y is 
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Therefore, the solutions are (6,38) or (-3,11)
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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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(70 points) please answer this question and explain how you get the answer!!
musickatia [10]

Answer: -0.10

Step-by-step explanation:

there is a pattern because 2014 0.45, 2015 0.20, 2016 0.35, 2016 0.10.

3 0
3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

The general equation of tangent line

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