what is the slope of the line?

How do I find the y intercept in a fraction

Furkat [3]

ANSWER:

Both functions have the same slope

The linear equation does not have a y-intercept

The table and the grahp express an equivalent function

STEP-BY-STEP EXPLANATION:

In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:

$\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}$

The formula to calculate the slope is the following:

$m=\frac{y_2-y_1}{x_2-x_1}$

The points are (-6, -9/2) and (4,3), replacing:

$m=\frac{3-(-\frac{9}{2})}{4-(-6)}=\frac{3+\frac{9}{2}}{4+6}=\frac{\frac{15}{2}}{10}=\frac{15}{20}=\frac{3}{4}$

The slope is 3/4

Now, for b

x = 4

y = 3

m = 3/4

replacing:

$\begin{gathered} 3=\frac{3}{4}\cdot4+b \\ b=3-3 \\ b=0 \end{gathered}$

The equation is:

$y=\frac{3}{4}x$

Therefore, the true statements are:

• Both functions have the same slope

,

• The linear equation does not have a y-intercept

,

• The table and the grahp express an equivalent function

8 0

1 year ago

Sadie simplified the expression √54a^7b^3, where a>=0, as shown: √54a^7b^3= √3^2•6•a^2•a^5•b^2•b=3ab √6a^5b

Tamiku [17]

Answer:

We are to find the error made by Sadie and then find the correct simplification.

The error Sadie made is that she wrote $a^7$ as $a^2 * a^5$ instead of $a^6 * a$ .

The square root of $a^6$ is $a^3$ and so she could have further simplified.

The correct simplification is shown below:

$\sqrt{54a^7b^3} = \sqrt{2 * 3 * 3 * 3 * a^6 * a * b^2 * b} \\ \\= \sqrt{3^2 * a^6 * b^2 * 6 * a * b} \\\\= 3a^3b\sqrt{6ab}$

4 0

3 years ago

Given f (x) = -3x - 1, solve for x when f (x) = -4

Aleks [24]

Answer:
11
Explanation:
f(x) = -3x - 1 when f(x) = -4
f(x) = -4 * -3 -1 = 12 - 1 = 11

8 0

3 years ago

A school dance committee has 14 volunteers. Each dance requires 3 volunteers at the door, 5 volunteers on the floor, and 6 float

siniylev [52]

There are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned from 14 volunteers.

Given that a school dance committee has 14 volunteers and each dance requires 3 volunteers at the door, 5 volunteers on the floor and 6 on floaters.

We are required to find the number of ways in which the volunteers can be assigned.

Combinations means finding the ways in which the things can be choosed to make a new thing or to do something else.

n $C_{r}$ =n!/r!(n-r)!

Number of ways in which the volunteers can be assigned is equal to the following:

Since 2 have not been assigned so left over volunteers are 14-2=12 volunteers.

Number of ways =14 $C_{12}$

=14!/12!(14-12)!

=14!/12!*2!

=14*13/2*1

=91 ways

Hence there are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned.

Learn more about combinations at brainly.com/question/11732255

#SPJ1

5 0

2 years ago

If a polynomial function f(x) has roots 6 and square root of 5, what must also be a root of f(x)?

ivolga24 [154]

Answer:

- $\sqrt{5}$

Step-by-step explanation:

A root with square root or under root is only obtained when we take the square root of both sides. Remember that when we take a square root, there are two possible answers:

One answer with positive square root
One answer with negative square root

For example, for the equation:

$x^{2}=3$

If we take the square root of both sides, the answers will be:

$x=\sqrt{3} \text{ or } x= -\sqrt{3}$

Only getting one solution with square root is not possible. Solutions with square root always occur in pairs.

For given case, the roots are 6 and $\sqrt{5}$ . Therefore, the 3rd root of the polynomial function f(x) had to be - $\sqrt{5}$

It seems you made error while writing option B, it should be - square root of 5.

4 0

3 years ago

￼what is the slope of the line?

what is the slope of the line?