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3 years ago

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

1 answer:

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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State whether the given measurements determine zero, one, or two triangles.

Lady bird [3.3K]

I bet you're doing the Law of Sines right now. If you use the law of sines you find out that angle A is a 90 degree angle. There is only one triangle you can make with these measurements because if you have one angle of 30 and another of 90, the 3rd angle has to be a 60 degree angle. So it is a special right triangle, 30-60-90

8 0

3 years ago

A trimaran boat, with a top speed of 55 knots, won the tournament cup in 2010. Its top speed is 6 knots more than 3.5 times the

slavikrds [6]

Answer:

14 knots

Step-by-step explanation:

We know the speed (55 knots) is 6 more than 3.5 times the winner of the monohull in the 2007 tournament.

So let's set the variable for the speed of the monohull to <em>m</em>. Now, let's set up an equation:

$55 = 6 + (3.5 * m)$

We can solve this by first subtracting 6 from both sides to get:

$49 = 3.5 * m$

Dividing both sides by 3.5 we get:

$14 = m$

That means that the top speed of the monohull in the 2007 tournament was 14 knots

4 0

3 years ago

Apparently I'm supposed to do one at a time so here we go again

Nat2105 [25]

A) 60mph
B) 209.7 miles
C) 2 hours and 45 minutes

3 0

2 years ago

The sum of three consecutive integers is greater than 66. What is the smallest possible product of the largest and smallest of t

AysviL [449]

Answer:

528

Step-by-step explanation:

So naturally at first sight for this question we would think -->

Oh 3 consecutive integers = 66 --> 66/3 = 22 (n-1), (n+1) so --> 21, 22, and 23.

But no. At second look it is the sum of 3 consecutive integers is greater than 66. So we find the next possible pair since it says smallest possible product.

We get the set (22, 23, 24). => Multiply the least and greatest integers together respectively 22 and 24 which amounts to => 528

And thus, we have out answer of 528

Hope this helps!

4 0

3 years ago

On a coordinate plane, parallelogram A B C D has points (3, 6), (6, 5), (5, 1), and (2, 2).

jeka94

Answer:

13 square units

Step-by-step explanation:

The bounding rectangle is 4 units wide and 5 units high, so has an area of 4×5 = 20 square units. From that are subtracted the areas of 4 triangles. 2 of them are 3 wide and 1 high, so have a combined area of 3×1 = 3 square units. The other two are 1 wide and 4 high, so have a combined area of 1×4 = 4 square units.

Then the area of the parallelogram is ...

20 -3 -4 = 13 . . . . square units

3 0

3 years ago