All categories

3 years ago

The table below shows selected points from a function.

Mathematics

1 answer:

stiv31 [10]3 years ago

4 0

Answer:

The rate of change for the interval shown in the table is 1 , so the function is a linear function.

Step-by-step explanation:

See the table attached.

The table shows selected points from a function.

Now, the given interval is x = 1 to x = 4.

For, x = 1, f(x) = 2 and for x = 4. the function f(x) = 5.

Therefore, the rate of change for the interval shown in the table i.e slope of the line is $\frac{5 - 2}{4 - 1} = 1$ and it is constant throughout the interval so the function is a linear function. (Answer)

You might be interested in

If f(x) = 2x^3 - 14x^2 + 38x -26 and x-1 is a factor of f(x) find all of the zeros of f(x) algebraically.

Anestetic [448]

Answer:

Step-by-step explanation:

First confirm that x = 1 is one of the zeros.

f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26

f(1) = 2 - 14 + 38 - 26

f(1) = -12 + 38 = + 26

f(1) = 26 - 26

f(1) = 0

=========================

next perform a long division

x -1 || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26

2x^3 - 2x^2

===========

-12x^2 + 28x

-12x^2 +12x

==========

26x -26

26x - 26

========

Now you can factor 2x^2 - 12x + 26

2(x^2 - 6x + 13)

The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16

So you are going to get a complex result.

x = -(-6) +/- sqrt(-16)

=============

x = 3 +/- 2i

f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)

The zeros are

3 +/- 2i

8 0

3 years ago

Help I really don’t understand this

MAXImum [283]

Let x=3.77777777...
10x=37.777777777...
9x=10x-x=34
9x=34 so x=34/9=3 7/9

3 0

3 years ago

Ux+ rx= w; solving for x

taurus [48]

<h2><u>ANSWER</u></h2><h3>UX+RX=W</h3><h3>LETS TAKE X COMMON</h3><h3>X(U+R)=W</h3><h3>X=W/(U+R)</h3>

$x = w \div {u + r}$

8 0

3 years ago

Read 2 more answers

Find the distance between the points (-1,-7) and (8,-9). The answer must be a whole number or a fully simplified radical express

ruslelena [56]

Answer:

The answer is

<h2> $\sqrt{85} \: \: \: units$ </h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-1,-7) and (8,-9)

The distance between them is

$d = \sqrt{( { - 1 - 8})^{2} + ({ - 7 + 9})^{2} } \\ = \sqrt{ ({ - 9})^{2} + {2}^{2} } \\ = \sqrt{81 + 4}$

We have the final answer as

$\sqrt{85} \: \: \: units$

Hope this helps you

3 0

3 years ago

Write the equation for the line that passes through (3,4) and (2,-1) in slope intercept form

Lina20 [59]

Y=mx+b
m=4-1\3-2
3\1
y=3\1x+b
(u can take any of the 2 points.am taking the first one)
4=3\1(3)+b
4=9+b
4-9=b
-5=b
answer=
y=3\1x-5

5 0

3 years ago