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eimsori [14]
3 years ago
11

Find the difference quotient of f(x)=5x+4

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
6 0
The differnce quotient is basically taking the derivitive (result will be f'(x)=5, but anyway)

here is the disffernce quotient
lim_{h\rightarrow0}\frac{f(x+h)-f(x)}{h}

so
for your equation
lim_{h\rightarrow0}\frac{(5(x+h)+4)-(5x+4)}{h}
lim_{h\rightarrow0}\frac{5x+5h+4-5x-4}{h}
lim_{h\rightarrow0}\frac{5h}{h}
h's cancel and you are left with 5
the differnce quotient is 5
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Use a related equation that has the variable on one side. Then simplify the other side. T/3 = 15. (A t = 15 ÷ 3; t = 5.)
gregori [183]
It’s D bc Dt= 15x3 and it’s not that hard to solve
6 0
3 years ago
4(1 - x) + 3x = - 2(x + 1)
liubo4ka [24]

Answer:

X=-6

Step-by-step explanation:

4(1−x)+3x=−2(x+1)

(4)(1)+(4)(−x)+3x=(−2)(x)+(−2)(1)(Distribute)

4+−4x+3x=−2x+−2

(−4x+3x)+(4)=−2x−2(Combine Like Terms)

−x+4=−2x−2

−x+4=−2x−2

Step 2: Add 2x to both sides.

−x+4+2x=−2x−2+2x

x+4=−2

Step 3: Subtract 4 from both sides.

x+4−4=−2−4

x=−6

Answer:

x=−6

4 0
3 years ago
Read 2 more answers
x2 + 7x - 18 Select one of the factors of the quadratic expression. A) (x+2) B) (x+6) C) (x-2) D) (x-6)
lubasha [3.4K]
The factors of this expression would be (x+9)(x-2). You have to find two numbers that are factors of -18 that add up to 7. These numbers would be 9 and -2:
(9)x(-2)= -18
and 9 + (-2)= 7
Your answer is C) (x-2).
5 0
3 years ago
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Which would the phrase "two times the quotient of a number and 3" look like as a variable expression?
Naya [18.7K]
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6 0
3 years ago
On Sunday, a local hamburger shop sold a combined of 572 hamburger and cheeseburger. The number of cheeseburgers sold was three
igor_vitrenko [27]
Answer: 143 hamburgers and 429 cheese burgers

Explanation:

Call h and c the number of both items.
(h-hamburger and c-cheeseburger)

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c = 3h

Sub the second into the first

h + 3h = 572
4h = 572

Divide both sides by 4
h = 143 hamburgers

Use this back into the second equation
c = 3 • 143 = 429 cheeseburgers

3 0
3 years ago
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