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jonny [76]
3 years ago
6

Use the graph below for this question: graph of parabola going through negative 3, negative 1 and 5, negative 1. What is the ave

rage rate of change from x = −3 to x = 5?
Mathematics
1 answer:
Fofino [41]3 years ago
3 0

Here the points are(-3,-1) and (5,-1)

To find the average rate of change, we have to use the following formula .

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Here x1 =-3, y1=-1, x2=5,y2=-1

So we get

Average rate of change=

\frac{-1+1}{5+3} = 0

So the average rate of change from x=-3 to x=5 is 0

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Find the domain of the relation:
Natali5045456 [20]
The domain is -5, -4, 1, 2, 4
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3 years ago
The sum of any two rational numbers is a rational number. True or false
yuradex [85]
The sum of any two rational numbers is a rational number, so it's true. 
7 0
3 years ago
What is the simplified value of the exponential expression 16^1/4?
erik [133]
<h2>Answer</h2>

2

<h2>Explanation</h2>

First, we are going to use the law of fractional exponents: a^{\frac{1}{n} =\sqrt[n]{a}

We can infer form our expression that a=16 and n=4, so let's replace the values:

a^{\frac{1}{n} =\sqrt[n]{a}

16^{\frac{1}{4} }=\sqrt[4]{16}

Notice that we can also decompose 16 into prime factors to get 16=2^4, so we can rewrite our expression as follows:

\sqrt[4]{16}=\sqrt[4]{2^4}

Finally, we can use the rule of radicals: \sqrt[n]{a^n} =a, so:

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4 0
3 years ago
Let's say that xy=z. If zx=y, what would x, y, and z equal?
GREYUIT [131]

Answer:

x = 1

y=z

Step-by-step explanation:

xy = z\\zx = y

Substitute z and y back into the equations.

xyx =y\\x^2y=y\\x^2=1\\x=\sqrt{1} = 1

z(1) = y\\z=y

We cannot find z and y as we don't have enough information.

6 0
3 years ago
Read 2 more answers
Given that r = ( 7, 3, 9) and v = ( 3, 7, -9), evaluate r + v
uysha [10]

Answer:

b. (10,10,0)

Step-by-step explanation:

r+v can be evaluated if the vectors/matrices have the same dimensions.

These do. They are both 1 by 3 vectors.

Just add first to first in each.

Just add second to second in each.

Just add third to third in each.

Example:

(5,-5,6)+(1,2,3)

=(5+1,-5+2,6+3)

=(6,-3,9)

Done!

In general, (a,b,c)+(r,s,t)=(a+r,b+s,c+t).

r+v

=(7,3,9)+(3,7,-9)

=(7+3,3+7,9+-9)

=(10,10,0)

Done!

5 0
3 years ago
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