MATHEMATICS COLLEGE

Match the correct y=mx+b equation to the graph:

pls show work/explanation!

Answers

Answer 1

Answer:

Answer:

$y=-3x+2$

$\boxed{m=-3,\ b=2}$

Step-by-step explanation:

Equation of a line

To define the equation of a line, we only need two points through which it passes. The graph shows two clear points to choose: (0,2) and (1,-1)

Set up the equation of the line by using the formula

$\displaystyle y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)$

$\displaystyle y-2=(-1-2)/(1-0)(x-0)$

Operating

$y-2=-3x$

Rearranging

$y=-3x+2$

$\boxed{m=-3,\ b=2}$

Related Questions

A student purchases school supplies at a store where the sale tax is 7%. The pre-tax price of the supplies is $48. What is the total cost of the supplies?
Help.. ill give brainliest..
If LIAR is a parallelogram, what is the value of X?RA377x+3)(2x+3O A. 42O B. 20O c. 71.5O D. 35O E. 82O F. 38.
Determine which statements about the relationship are true. Choose two options. g is the dependent variable. u is the dependent variable. g is the independent variable. u is the independent variable. The two variables cannot be labeled as independent or dependent without a table of values.
Which product is positive?

Simplify the polynomial

Answers

The polynomial after simplification is obtained as $5 x^(2)$ + 9x + 3.

What issimplification?

In mathematics, reducing an expression, fraction, or problem to a simpler form is referred to as simplification. With calculations and solution, the problem is made simple. Make something simpler by simplifying it.

We are given a polynomial as

5x - 5 + $11 x^(2)$ + 4x - $6 x^(2)$ + 8

Now, in order to simplify the given polynomial, we will combine the like terms of the polynomial.

On combining the like terms, we get

$5 x^(2)$ + 9x + 3

Hence, the polynomial after simplification is obtained as $5 x^(2)$ + 9x + 3.

Learn more about simplification from the given link

brainly.com/question/723406

#SPJ1

Anita has 2 quarters, 1 nickel, and 4 pennies. Write Anita’s total amount as a fraction of a dollar.

Answers

Answer:

59/100

Step-by-step explanation:

2*25+5+4=59

In a survey of 1016 ?adults, a polling agency? asked, "When you? retire, do you think you will have enough money to live comfortably or not. Of the 1016 ?surveyed, 535 stated that they were worried about having enough money to live comfortably in retirement. Construct a 99?% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.A. There is a 99?% probability that the true proportion of worried adults is between ___ and ___.

B. 99?% of the population lies in the interval between ___ and ___.

C. There is 99?% confidence that the proportion of worried adults is between ___ and ___.

Answers

Answer:

C. There is 99% confidence that the proportion of worried adults is between 0.487 and 0.567

Step-by-step explanation:

1) Data given and notation

n=1016 represent the random sample taken

X=535 represent the people stated that they were worried about having enough money to live comfortably in retirement

$\hat p=(535)/(1016)=0.527$ estimated proportion of people stated that they were worried about having enough money to live comfortably in retirement

$\alpha=0.01$ represent the significance level

Confidence =0.99 or 99%

z would represent the statistic

p= population proportion of people stated that they were worried about having enough money to live comfortably in retirement

2) Confidence interval

The confidence interval would be given by this formula

$\hat p \pm z_(\alpha/2) \sqrt{(\hat p(1-\hat p))/(n)}$

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_(\alpha/2)=2.58$

And replacing into the confidence interval formula we got:

$0.527 - 2.58 \sqrt{(0.527(1-0.527))/(1016)}=0.487$

$0.527 + 2.58 \sqrt{(0.527(1-0.527))/(1016)}=0.567$

And the 99% confidence interval would be given (0.487;0.567).

There is 99% confidence that the proportion of worried adults is between 0.487 and 0.567

Final answer:

To build a 99% confidence interval, we first calculate our sample proportion by dividing the number of such instances by the total sample size. Next, we determine the standard error of the proportion, then our margin of error by multiplying the standard error by the Z value of the selected confidence level. Lastly, we determine the confidence interval by adding and subtracting the margin of error from the sample proportion.

Explanation:

To construct a 99% confidence interval for the proportion of adults worried about having enough money to live comfortably in retirement, we will utilize statistical methods and proportions. First, we must calculate the sample proportion. The sample proportion (p) is equal to 535 (the number who are worried) divided by 1016 (the total number of adults surveyed).

Then, we find the standard error of the proportion which we get by multiplying the square root of ((p*(1-p))/n) where n is the number of adults sampled. The margin of error is found using the Z value corresponding to the desired confidence level, in this case, 99%. Multiply the standard error by this Z value. Lastly, we construct the confidence interval by taking the sample proportion (p) ± the margin of error.

The result will give you the 99% confidence interval - meaning we are 99% confident that the true proportion of adults who are worried about having enough money to live comfortably in retirement lies within this interval.

Learn more about Confidence Interval here:

brainly.com/question/34700241

#SPJ3

If an angelfish is 6/5 inches, how many feet is it? I'm literally going to give you 100 points.

Answers

Answer:

0.1 foot

Step-by-step explanation:

1 inch = 0.083 foot

Formula: divide the length value by 12

So, multiply 0.083 to $(6)/(5)$

$(6)/(5) = 1.2$

1.2 × 0.83 = 0.996

approximatlry, 0.996 = 0.1

Therefore, $\bold{(6)/(5)}$ inches are equal to 0.1 foot.

The base of a triangle is 3 inches more than 2 times the height.If the area is 7 square inches, find the base and the height.

Answers

Answer: 6 inches

Step-by-step explanation:

Hope this helped

Please help!!What is the value of x? Enter your answer in the box. x = NOTE: Image not drawn to scale. Triangle G E H with segment E D such that D is on segment G H, between G and H. Angle G E D is congruent to angle D E H. E G equals 44.8 millimeters, G D equals left parenthesis x plus 4 right parenthesis millimeters, D H equals 35 millimeters, and E H equals 56 millimeters.

Answers

Answer:

The value of x is 24.

Step-by-step explanation:

Given information: In ΔGHE, ED is angle bisector, EG=44.8 millimeters, GD=(x+4) millimeters, DH=35 millimeters, and EH=56 millimeters.

According to the angle bisector theorem, an angle bisector divide the opposite side into two segments that are proportional to the other two sides of the triangle.

In ΔGHE, ED is angle bisector, By using angle bisector theorem, we get

$(GD)/(DH)=(EG)/(EH)$