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lisabon 2012 [21]
3 years ago
5

Calculate the average rate of change of the given function over the given interval. Where appropriate, specify the units of meas

urement. f(x)=x2−3f(x)=x 2−3; [1, 3].
Mathematics
1 answer:
Nastasia [14]3 years ago
3 0

Answer:

4

Step-by-step explanation:

Average Rate of Change Formula: \frac{f(b) - f(a)}{b - a}

Simply plug in our interval:

[(3² - 3) - (1² - 3)]/(3 - 1)

[9 - 3 - 1 + 3]/2

8/2

4

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What is the solution for x in the equation 0.5x+4+0.9x=x+5
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Hope this helps

3 0
3 years ago
Please help. Thank you :)
mixer [17]

Okay, first let's look at what they give us!


The measure of angle 2 is 3x + 1


Measure of angle 3 is 2x + 4


And they give us that one angle is right which means it is 90°


Now if we use what we know of triangles, we know that all the angles in a triangle add up to equal 180 which means if we add angle 2, angle 3, and the right angle together we should get 180. Let's write an equation for it:


3x + 1 + 2x + 4 + 90 = 180


First we will add together liked terms!


3x + 2x = 5x


1 + 4 + 90 = 95


This gets us:


5x + 95 = 180


Second, let's get rid of that 95 by subtracting it from both sides, after doing this it should leave us with:


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Third we need to get the x by itself and we can do it by dividing both sides by 5 to get:


x = 17


Now the question asks to find the measure of angle 2, given that angle 2 is 3x + 1 all there is left to do is to plug in 17 for x!

3(17) + 1


51 + 2 to get us 52!


Answer: 52

3 0
3 years ago
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