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butalik [34]
3 years ago
9

For the function f(x)=5x2−5x, evaluate and simplify.

Mathematics
1 answer:
Marianna [84]3 years ago
7 0

9514 1404 393

Answer:

  10x -5 +5h

Step-by-step explanation:

Use the function definition with the given arguments.

  \dfrac{f(x+h)-f(x)}{h}=\dfrac{(5(x+h)^2-5(x+h))-(5x^2-5x)}{h}\\\\=\dfrac{(5(x^2+2hx+h^2)-5(x+h))-(5x^2-5x)}{h}\\\\=\dfrac{5x^2+10hx+5h^2-5x-5h-5x^2+5x}{h}=\dfrac{10hx-5h+5h^2}{h}\\\\=\boxed{10x-5+5h}

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What is the distance between (4,2) and (-1,-3)
Sati [7]
<h2>Solving for the Distance between two Points</h2><h3>Answer:</h3>

5 \sqrt{2} or 7.071

<h3>Step-by-step explanation:</h3>

<em>Please refer to my answer from this Question to know more about distances between two points: <u>brainly.com/question/24629826</u></em>

Given:

(4,2)

(-1,-3)

Solving for the Distance:

\sqrt{(4-(-1))^2 +(2 -(-3))^2} \\ \sqrt{(4 +1)^2 +(2 +3)^2} \\ \sqrt{5^2 +5^2} \\ \sqrt{25 +25} \\ \sqrt{50} \\ \sqrt{25 \cdot 2} \\ 5 \sqrt{2}

<u>Note:</u>

5 \sqrt{2} \approx 7.071

4 0
3 years ago
Identify the percent of change as an increase or a decrease. 4/5 to 3/5
vovikov84 [41]

Answer:

Decrease

Step-by-step explanation:

So, I encourage you to grab a calculator and see for yourself

Put in the function: 4/5 into a standard calculator. You will see that it will come out to .8

Put in the function: 3/5 into a standard calculator. You will see that it will come out to .6

.6 is less than .8, just as 3/5 is less than 4/5.

Another analogy that can be used is seeing the fraction as a real-life object.

Let's say that you make two pies. You cut the pie evenly into five slices. You set them on the table and leave them for whoever wants to eat them. You see that Pie 1 has two slices missing (3/5) and that Pie 2 has one slice missing. (4/5)

3 out of 5 slices are left of Pie 1.

4 out of 5 slices are left of Pie 2.

Pie 1 has less than Pie 2 does.

Hope this has helped!

6 0
3 years ago
A speeding car passes a cop going 55 miles per hour. Ten seconds later, the
Deffense [45]

Answer:

-2.5

Step-by-step explanation:

Acceleration; v1-v0/t

v1=55

vo=35

t=10

25/10=2.5

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D-%5Cfrac%7B2%7D%7B3%7D" id="TexFormula1" title="\frac{3}{4}-\frac{2}{3}"
Komok [63]
Lcf= 12


So we’d have
9 - 8
———
12

1
—-
12
8 0
2 years ago
As a salesman, Mr. Davis earns a $150 base salary per week and a 4% commission on his total amount of sales (s) each week. Which
Pavlova-9 [17]
C is the right answer
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3 years ago
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