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3 years ago

The table represents a linear function?

Mathematics

2 answers:

Llana [10]3 years ago

5 0

Hello Fantaysias,

How are you doing? I know this is kind of late, but here goes nothing! Yes, it is a linear equation, you know this because, the input always will result with the same output. Plus, since it has a slope, which is 10 by the way, it also confirms that this is linear! Linear means, that if you put these plots on a line, it will create a straight line! Hope I helped!

Thank you,
Darian D.

Sauron [17]3 years ago

4 0

Answer: 5

Step-by-step explanation:

In the given picture we have a table representing two columns as x and y.

We know that the slope of the function is given by :-

$k=\dfrac{y_2-y_1}{x_2-x_1}$

Using points (0,4) and (2,14) from the table , we get the slope of the function will be :-

$k=\dfrac{14-4}{2-0}\\\\\\=\dfrac{10}{2}=5$

Therefore, the slope of the given function in the table = 5

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PLSSS HELP ME PLSSS<br> 14 POINTS!

Ivan

Answer:

3/4

Step-by-step explanation:

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3 years ago

Select the point that is a solution to the system if inequalities yx^2-6

labwork [276]

Answer:

The correct answer is A.

$A(0,-2)$

Step-by-step explanation:

Method 1

You just have to plot each point on the graph.

The one that falls within the solution region is the correct choice.

From the graph, $A(0,-2)$ falls within the solution region.

See graph

Method 2

If you substitute the points into the inequalities, the only point that will satisfy both inequalities simultaneously is A.

The first inequality is

$y\:$

If we substitute $A(0,-2)$ , we get;

$-2\:$

This statement is true.

The second inequality is

$y\:>\:x^2-6$

If we substitute $A(0,-2)$ , we get;

$-2\:>\:(0)^2-6$

This gives,

$-2\:>\:-6$

This statement is also true.

8 0

3 years ago

80% of what number is 20

Olin [163]

the answer is 16 because .80 times 20 is 16

7 0

3 years ago

Read 2 more answers

What is the justification for each step in solving the inequality?

Fed [463]

Step-by-step explanation:

$3x+\frac{5}{8}\geq 4x-\frac{1}{2}$

Subtract 5/8 on both sides

To subtract 5/8 we make the denominators same

$3x\geq 4x-\frac{1*4}{2*4}-\frac{5}{8}$

Addition or Subtraction property of order is used

$3x\geq 4x-\frac{9}{8}$

Subtract 4x on both sides

Addition or Subtraction property of order is used

$-x\geq -\frac{9}{8}$

Now divide both sides by -1

Multiplication or Division property of order is used

$\frac{-x}{-1} \geq \frac{-\frac{9}{8}}{-1}$

Multiplication or Division property of order is used

$x\leq \frac{9}{8}$

5 0

3 years ago

In the expansion of (3a + 4b)8, which of the following are possible variable terms? Explain your reasoning. a2b3; a5b3; ab8; b8;

Fiesta28 [93]

We have to find the expansion of $(3a+4b)^{8}$

We will use binomial expansion to expand the given expression, which states that the expression $(a+b)^{n}$ is expanded as :

$(a+b)^{n}=^{n}C_{0}a^{n}+^{n}C_{1}a^{n-1}b+^{n}C_{2}a^{n-2}b^{2}+........^{n}C_{n}b^{n}$

Now expanding $(3a+4b)^{8}$ we get,

$(3a+4b)^{8}=^{8}C_{0}(3a)^{8}+^{8}C_{1}(3a)^{7}(4b)+^{8}C_{2}(3a)^{6}(4b)^{2}+^{8}C_{3}(3a)^{5}(4b)^{3}+^{8}C_{4}(3a)^{4}(4b)^{4}+^{8}C_{5}(3a)^{3}(4b)^{5}+^{8}C_{6}(3a)^{2}(4b)^{6}+^{8}C_{7}(3a)(4b)^{7}+^{8}C_{8}(4b)^{8}$

$(3a+4b)^{8}=^{8}C_{0}(3)^{8}a^{8}+^{8}C_{1}(3)^{7}(4)(a^{7}b)+^{8}C_{2}(3)^{6}(4)^{2}(a^{6}b^{2})+^{8}C_{3}(3)^{5}(4)^{3}(a^{5}b^{3})+^{8}C_{4}(3)^{4}(4)^{4}(a^{4}b^{4})+^{8}C_{5}(3)^{3}(4)^{5}(a^{3}b^{5})+^{8}C_{6}(3)^{2}(4)^{6}(a^{2}b^{6})+^{8}C_{7}(3)(4)^{7}(ab^{7})+^{8}C_{8}(4)^{8}(b^{8})$

So, the variables are $a^{5}b^{3}$ , $b^{8}$ , $a^{4}b^{4}$ , $a^{8} , [tex] ab^{7}$

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3 years ago