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denis-greek [22]
2 years ago
14

For j(x) = 5x − 3, find j of the quantity x plus h end quantity minus j of x all over h.

Mathematics
1 answer:
Fudgin [204]2 years ago
3 0

We will see that the difference quotient of the given function is 5.

<h3><u>How to find the difference quotient?</u></h3>

Here we want to find the difference quotient for the given function.

First, remember that the difference quotient is given by:

\lim_{h \to 0} \frac{f(x +h) - f(x)}{h}

Now we want this for the function:

j(x) = 5x - 3

Then we will have:

\lim_{h \to 0} \frac{j(x +h) - j(x)}{h}\\\\\lim_{h \to 0} \frac{5*(x + h) -3 - 5*x + 3}{h}\\\\\lim_{h \to 0} \frac{5x + 5h - 3 - 5x + 3}{h}\\\\\lim_{h \to 0} \frac{5h}{h} = 5

So the difference quotient of j(x) is 5.

If you want to learn more about difference quotients, you can read:

brainly.com/question/15166834

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Graph this function:<br> y + 1 = 2(x + 3)<br> Click to select points on the graph.
Solnce55 [7]

Answer:

use points (0,5) and (1,7)

see below for graph

Step-by-step explanation:

First, we'll turn the equation from point slope form (y-y1=m(x-x1)) into slope intercept form (y=mx+b)

y+1=2(x+3)

do the distributive property

y+1=2x+6

subtract 1 from both sides

y=2x+5

We'll need two points to graph the line.

You can subsitute x or y as any number you like and solve the equation.

For example:

if x=0:

y=2(0)+5

y=5

so the point would be (0,5)

and if x=1

y=2(1)+5

y=2+5

y=7

point: (1,7)

Use the points (0,5) and (1,7)

See below if you would like to see how it looks like on a graph.

Hope this helps!

4 0
3 years ago
What 2 digit numbers multiply to 2,025
Lana71 [14]
Square root 2,025 to get 45.
Or, multiply 45 × 45 to get 2,025.

Answer: 45
6 0
3 years ago
What is |-8| + |6| ?<br><br> GIVING 50 POINTS NEED HELP ASAP
stiks02 [169]

Answer:

14

Step-by-step explanation:

the absolute value of -8 is 8

the absolute value of 6 is 6.

6 + 8 = 14

give brainliest please!

hope this helps :)

4 0
2 years ago
Read 2 more answers
PLS PLS PLS I NEED HELP FAAAAAAAASSSSST GIVING BRAINLIEST TO QUICKEST CORRECT ​
ElenaW [278]

Answer:

c hope this helps

Step-by-step explanation:

8 0
2 years ago
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Jade's car can go 27.6 miles per gallon of gas. How many miles can she drive with 7 gallons of gas?
Readme [11.4K]

Answer:

193.2

Step-by-step explanation:

27.6x7 27.7\\ x   7\\--------\\     19.39

5 0
3 years ago
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