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dybincka [34]
2 years ago
9

If 8 is an x intercept what is f(8)

Mathematics
1 answer:
jekas [21]2 years ago
8 0

Answer:

f(8) = 0

Step-by-step explanation:

The definition of an x intercept is a point where the function is equal to zero.

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The slope f′(x) at each point (x,y) on a curve y=f(x) is given, along with a point (a,b) on the curve. Use this information to f
Montano1993 [528]

f'(x)=\dfrac{4x}{1+7x^2}

Integrating gives

f(x)=\displaystyle\int\frac{4x}{1+7x^2}\,\mathrm dx

To compute the integral, substitute u=1+7x^2, so that \frac27\,\mathrm du=4x\,\mathrm dx. Then

f(x)=\displaystyle\frac27\int\frac{\mathrm du}u=\frac27\ln|u|+C

Since u=1+7x^2>0 for all x, we can drop the absolute value, so we end up with

f(x)=\dfrac27\ln(1+7x^2)+C

Given that f(0)=10, we have

10=\dfrac27\ln1+C\implies C=10

so that

\boxed{f(x)=\dfrac27\ln(1+7x^2)+10}

7 0
3 years ago
There are two numbers such that , if both of them are individually increased by 5 and then by the same percentage as they were i
QveST [7]
Let the two numbers be x and y.
Let m =  the fraction (or percentage) for increasing the numbers.
 
Increase x by 5, multiply (x+5) by (1+m), and set it qual to 36.
(x + 5)*(1 + m) = 36

Increase y by 5, multiply (y+5) by (1+m), and set it equal to 36.
(y+5)*(1+m) = 36

Therefore
(x+5)*(1+m) = (y+5)*(1+m)
x + 5 = y + 5
x = y
x - y = 0

Answer: 0.
The difference between the two numbers is zero.
5 0
3 years ago
V=u+at u=2 a=15 t=1/5 what is the value of v
alukav5142 [94]

Answer and explanation:

V originally equals u + at, but when you plug in u, a, and t you get a number answer.

u = 2

a = 15

t = 1/5

Rewrite the expression with the numbers plugged in.

V = (2) + (15)(1/5)  <em>Multiply 15 by 1/5</em>

V = 2 + 3  <em>Add 2 and 3 together</em>

V = 5

<h2><u>So V would equal 5</u></h2>
7 0
3 years ago
*PLEASE ANSWER ASAP* What is the area of this polygon on a coordinate plane?
vovikov84 [41]

Answer:

A. 14 square units

Step-by-step explanation:

<em>Hey there :)</em>

Well let's find the area of each individual rectangles.

Let's start with the side rectangle.

It has dimensions of 5*1 = 5.

5 square units

Now the 3 rectangles left have dimensions of 3*1=3,

3*3 = 9.

5+9=14

14 square units

5 0
3 years ago
Read 2 more answers
I WILL GIVE BRAINLIEST!!!! - YEAR 9 MATHS!!
Serhud [2]

Answer: one point only.

Step-by-step explanation:

Since the length of the sides of the square is 9 cm, taking a point outside the square which is equidistant from point B and C will never give exact 6 cm from A.

The only way to achieve this is by taking a equidistant point inside.

You can achieve exactly 6 cm from point A from point between B and C

But can only achieve a single point if it has to be equidistant from point B and C.

3 0
3 years ago
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