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3 years ago

15

For f(x) = 0.01(2)x, find the average rate of change from x = 3 to x = 8.

1 answer:

Oliga [24]3 years ago

3 0

A: 0.08 is the Answer

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LMNP is a rectangle. If LN = 9x – 14 and MP = 7x + 4, find the values of x, LN, and MP.

Fittoniya [83]

I am thinking of a rectangle that has the two sides parallel to one another. Set the two functions equal to one another, so

9x-14=7x+4

After a bunch of algebra and math magic, 2x=18 => x=9

So if you just insert 9 into both equations, both will end up with a value of 67, so it ends up looking like a right triangle. Don't do that. Instead, to find the rectangle widths, use 9x-4 (+10 added to intercept) instead, while keeping 7x+4, so that the intercepts match.

LN) 9x-4 = 9(9)-4 = 81-4 = 77
MP) 7(9)+4 = 63+4 = 67

*If you are also looking for the diagonals, use Pythagorean Theorem 77^2+67^2=(hypotenuse)^2*

7 0

3 years ago

What is the equation of this trend line?<br> RE<br> Enter your answers b y filling in the boxes.

Deffense [45]

Answer:

$K=-2J+28$

Step-by-step explanation:

step 1

Find the slope of the line

The formula to calculate the slope between two points is equal to

$m=\frac{k2-k1}{j2-j1}$

we have the points

(2,24) and (6,16)

substitute in the formula

$m=\frac{16-24}{6-2}$

$m=\frac{-8}{4}$

$m-2$

step 2

Find the equation of the line in slope intercept form

$K=mJ+b$

we have

$m=-2$

$b=28$ ----> the k-intercept is the point (0,28) see the graph

substitute

$K=-2J+28$

7 0

3 years ago

What is the value of the logarithm below? (Round your answer to two decimal<br> places.)<br> log4 12

bearhunter [10]

Answer:

1.68

Step-by-step explanation:

log(4)12=log(48)

log(48)=1.6812... or rounded, 1.68

3 0

3 years ago

Which is the graph of the function f(x) = x3 – x2 – 17x - 15?

LenKa [72]

Answer with Step-by-step explanation:

We are given that a function

$f(x)=x^3-x^2-17x-15$

We have to find the graph of the given function.

y-intercept:It is that value of y where the graph cut the y- axis.

Let

$y=f(x)=x^3-x^2-17x-15$

Substitute x=0

Then, we get

$f(0)=-15$

y-intercept of the graph=-15

x- intercept: It is that value of x where the graph cut the x- axis.

Substitute y=0

$x^3-x^2-17x-15=0$

Substitute x=-1

$-1-1+17-15=0$

Therefore,x=-1 is a solution of given equation.

$(x+1)(x^2-2x-15)=0$

$(x+1)(x^2-5x+3x-15)=0$

$(x+1)(x(x-5)+3(x-5))=0$

$(x+1)(x+3)(x-5)=0$

$\implies x=-1,-3,5$

Hence, the x-intercept are

-3,-1 and 5

7 0

3 years ago

Witch point in a triangle is equidistant form the vertices of the triangle

Dafna1 [17]

It’s the circumcenter, or the center of the circle in which the triangle is inscribed.

3 0

2 years ago