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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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Eight friends ate at a restaurant and agreed to share the bill equally. Because Judi forgot her money, each of her seven friends
galina1969 [7]
Judi's share was  (7 x $2.50) =  $17.50 .

That was really one share out of eight.
So the total bill was

                             (8 x $17.50) =   $140.00 .
5 0
3 years ago
Write a linear equation that passes through the points(2,-2) and (0,1)
Yakvenalex [24]

Answer:

Slope intercept: y = -3/2x + 1

Point slope: y + 2 = -3/2 * (x - 2) [Forgot to add the work for this, I will add it if you need it, feel free to ask.]

Step-by-step explanation:

m = (change in y)/change in x)

But also

m = y_2 - y_1/x_2 - x_1


So lets substitute

m = 1 - (-2)/0 - (2)

Lets find the slope

m = 3/0 - (2)

m = 3/-2

m = -3/2 (Moved the negative)

Now we find the value of b using the equation of a line.

y = mx + b

y = (-3/2) * x + b

y = (-3/2) * (2) + b

-2 = (-3/2) * (2) + b

Now we find the value of b

Lets rewrite

-3/2 * 2 + b = -2

Cancel the CF of 2

-3 + b = -2

Move the terms without b to the right

b = -2 + 3

b = 1

Now we substitute our values of the slope and y-int into y = mx + b to find the equation.

y = -3/2x + 1

7 0
2 years ago
Read 2 more answers
65% of the pumpkins on the block with carved into jack-o'-lantern if there were 26 jack-o'-lanterns how many total pumpkins are
9966 [12]

Answer:

there's a total of 40 jack o lanterns

Step-by-step explanation:

26÷65%×100

6 0
3 years ago
How to solve y in -(y+9)=10
Allisa [31]

Answer:


Step-by-step explanation:

- (y+9) = 10


Multiply through by -1 gives us


y+9 = -10


Subtract 9 from both sides


y = -19


That's your answer.


If you work it through it satisfies the equation.


That is:


- (-19 +9) = 10


-(-10) = 10


10 = 10


Boo ya!

5 0
3 years ago
Y=2x^2+12x+14 in vertex form
balandron [24]

Answer:

y = 2(x + 3)² - 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Using the method of completing the square

y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms

  = 2(x² + 6x) + 14

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 6x

y = 2(x² + 2(3)x + 9 - 9 ) + 14

  = 2(x + 3)² - 18 + 14

  = 2(x + 3)² - 4 ← in vertex form

4 0
3 years ago
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