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Irina-Kira [14]
3 years ago
6

Find the average rate of change of f(x)= x^2-5x+2 from x=3 to x=8.

Mathematics
1 answer:
kolezko [41]3 years ago
7 0
Rate of change will be the difference in f(3) and f(8). solve for the 2 first:
f(3)=3²-5(3)+2 = -4
f(8)=8²-5(8)+2 = 26

than find the difference in f(3)-f(8)= -4-26  = -30 
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Find the area of the following shape.
ad-work [718]

Answer:

57 units^2

Step-by-step explanation:

First find the area of the triangle on the left

ABC

It has a base AC which is  9 units and a height of 3 units

A = 1/2 bh = 1/2 ( 9) *3 = 27/2 = 13.5

Then find the area of the triangle on the right

DE

It has a base AC which is  6 units and a height of 1 units

A = 1/2 bh = 1/2 ( 6) *1  = 3

Then find the area of the triangle on the top

It has a base AC which is  3 units and a height of 3 units

A = 1/2 bh = 1/2 ( 3) *3  = 9/2 = 4.5

Then find the area of the rectangular region

A = lw = 6*6 = 36

Add them together

13.5+3+4.5+36 =57 units^2

5 0
2 years ago
Read 2 more answers
Help with Math PLZ (Questions in screenshot)
-Dominant- [34]

1.) Let's say that the circle on the graph below represents x. The arrow is pointing to all the numbers greater than x, which happens to be on -2. If it points right, this means that x can equal to any number greater than -2. So your answer is x > -2.

2.) For inequalities such as these, you can simplify just like what you do for normal equations. Let's isolate x.

x - 7 > 10

--> x > 10 + 7

---> x > 17

3.) 3x \leq 21

--> \frac{3x}{3} \leq  \frac{21}{3}

---> x \leq 7

4.) 5a - 2 < 18

--> 5a < 18 + 2

---> 5a < 20

----> \frac{5a}{5} < \frac{20}{5}

-----> a < 4

5.) 2t + 8 \geq -4(t + 1)

--> 2t + 8 \geq -4t - 4

---> 2t + 4t \geq -8 - 4

----> 6t \geq -12

-----> t \geq -2

7 0
3 years ago
Manuela solved the equation 3−2|0.5x 1.5|=2 for one solution. her work is shown below. 3−2|0.5x 1.5|=2 −2|0.5x 1.5|=−1 |0.5x 1.5
irakobra [83]

The other solution to the absolute value equation 3 − 2|0.5x + 1.5| = 2 is x = -4

<h3>How to determine the solution?</h3>

The equation is given as:

3 − 2|0.5x + 1.5| = 2

Subtract 3 from both sides

-2|0.5x + 1.5| = -1

Divide both sides by -2

|0.5x + 1.5| = 0.5

Expand the equation

0.5x + 1.5 = 0.5 or 0.5x + 1.5 = -0.5

Subtract 1.5 from both sides

0.5x = -1 or 0.5x = -2

Divide both sides by 0.5

x = -2 or x = -4

Hence, the other solution to the absolute value equation 3 − 2|0.5x + 1.5| = 2 is x = -4

Read more about absolute value equation at:

brainly.com/question/26954538

#SPJ4

4 0
2 years ago
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Vlad [161]
First we need to get x
<RNA = <ENV [v.o.a]
8x+12=5x+57
8x-5x=57-12
3x=45
x=15

<ENV= (5×15+57)
<ENV =132
the answer is D
8 0
3 years ago
Read 2 more answers
Find the inner product for (7,1) (0 -2) and state whether the vectors are perpendicular.
Fofino [41]

Answer:

the answer is 67.980

Step-by-step explanation:

6 0
3 years ago
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