Find the equation of a line that contains the points (7,3) and (−7,2). Write the equation in slope-intercept form, using fractions when required.

Answer:

3 2/3 will be 3 10/15

1 4/5 will be 1 12/15

Divide 3 into 15 and get 5; 5 x 2 = 10

Divide 5 into 15 and get 3; 3 x 4 = 12

So new equivalent fractions are 3 10/15

                                               and 1 12/15

Step-by-step explanation:

The required equivalent fractions for 3 10/15 and 1 12/15.

Given, two mixed fractions 3 2/3 and 1 4/5, determine equivalent fractions using 15 as the common denominator.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
First
= 3 2/3
= 3 + 2 / 3
= 3 + 2 × 5 / 3 × 5
= 3 + 10 / 15

Second,
= 1 4 / 5
= 1 4 × 3 / 5 × 3
= 1 12/15

Thus, the required equivalent fractions for 3 10/15 and 1 12/15.

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Answer: x=247

Step-by-step explanation:

1. Set up the equation

117/45=x/95

2. Cross multiply

117(95) = 11115

45(x)= 45x

3. Set both equal to each other

11115=45x

4. Divide 45 on each side

11115/45 = 45x/45

5. Solve for x

x=247

Hope this helps :)

-Morgan

Answer:

A and D.

Step-by-step explanation:

A sequence is a set of the objects or numbers in a specific order. It is a function whose domain is a set of natural numbers or non-negative integers i.e. {1, 2, 3,..}

(A)

"An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers."

The general form an arithmetic sequence is:

[tex]a_{n}=a_{1}+(n-1)d[/tex]

The function is linear. The sequence consists of either numbers that are increasing or decreasing based on the value of d, the common difference.

So, the statement provided is True.

(D)

"A geometric sequence is an exponential function whose domain is restricted to the set of non-negative integers."

The general form an geometric sequence is:

[tex]a_{n}=a_{1}\cdot r^{n-1}[/tex]

The function is exponential. The sequence consists of either numbers that are exponentially increasing or decreasing by the factor r, the common ratio.

So, the statement provided is True.

Answer:

2.9

Step-by-step explanation:

Hope this helps:)

Answer:

y=-2x-1

Step-by-step explanation:

13=-2*-7+b

13=14=b

-1=B

The equation of the line in the slope-intercept form will be 2x+y+1=0.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that,

The coordinate of the points are (x,y) = (-7, 13)

Slope, m = -2

The standard equation of a line is,

y = mx+c

Substitute the given coordinate value in order to find the intercept value as

13=-2×-7+c

13-14=c

-1=c

Put the values in the standard equation,

y = mx+c

y=-2x-1

Thus, the equation of the line in the slope-intercept form will be 2x+y+1=0.

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Answer:

x = 52.5

<A = 152.5°

<BCG = 45°

Step-by-step Explanation:

Sum of interior angles of n-sided polygon = (n - 2)180

Sum of interior angles of hexagon = (6 - 2)180 = 4(180) = 720°

Therefore, sum of all the interior angles in the given hexagon = 720.

Thus:

3x - 5 + 2x + 140 + 135 + 2x + 30 + x = 720

Solve for x. Add like terms.

8x + 300 = 720

Subtract 300 from both sides

8x = 720 - 300

8x = 420

Divide both sides by 8

8x/8 = 420/8

x = 52.5

<A = (3x - 5)

Plug in the value of x

<A = 3(52.5) - 5 = 152.5°

<BCG = 180 - (2x + 30) (angles on a straight line)

Plug in the value of x

<BCG = 180 - (2(52.5) + 30)

<BCG = 180 - (105 + 30)

<BCG = 180 - 135

<BCG = 45°

Answer:

The​ homoskedasticity-only F​-statistic and the​ heteroskedasticity-robust F​-statistic typically​ are different.

Step-by-step explanation:

An F statistic is a value derived by running an ANOVA test or a regression analysis to find out if the means between two populations are significantly different.

The homoskedasticity-only” F-statistic is derived by running two regressions, one under the null hypothesis and one under the alternative hypothesis. If the “unrestricted” model fits sufficiently better, reject the null.

In the first regression, the restricted regression (the null hypothesis) is forced to be true. This is the regression in which all the coefficients are set to zero; the relevant regressors are excluded from the regression. In the second regression, the unrestricted regression, the alternative hypothesis is allowed to be true. If the sum of squared residuals is sufficiently smaller in the unrestricted than the restricted regression, then the test rejects the null hypothesis

The heteroskedasticity-robust F-statistic is built in to STATA (“test” command); this tests all q  restrictions at once.

The homoskedasticity-only F-statistic is important historically (and also in practice), and can  help intuition, but isn’t valid when there is heteroskedasticity

Answer:

an equation of the second degree, meaning it contains at least one term that is squared.

Step-by-step explanation:

A quadratic equation contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.

Answer:

C

Step-by-step explanation:

Answer:

alternate exterior angles

Step-by-step explanation:

Answer:

f(x) = (x^2-16) / (x+3)

f(x) has no horizontal asymptote.

Vertical assymptote is x = -3

Dividing the numerator by the denominator gives x - 3 remainder -7. Therefore, the oblique assymptote is x - 3.

the vertical asymptotes of the function f(x) = (5x + 1) / (x^2 + x - 6) = (5x + 1)/(x - 2)(x + 3) is x = 2 and x = -3.

the zeros of the function f(x) = (3x^2 - 3x - 6 ) / (3x - 6) = (3x^2 + 3x - 6x - 6) / (3x - 6) = (3x(x + 1) - 6(x + 1)) / (3x - 6) = (3x - 6)(x + 1)/(3x - 6) = x + 1 is x = -1

the function f(x) = (x^2 + x - 12) / (x - 3) = (x - 3)(x + 4) / (x - 3) is  --> disc = 3, x-int = (-4, 0), y-int = 4? basic shape = straight line

Step-by-step explanation:

Hope this helps! brainliest please

The given  - 1 1/5 expressed as improper fraction can be written as - [tex]\frac{6}{5}[/tex]

we were given [tex]\frac{1}{5}[/tex]-1 /5 so to express this as improper fraction, we multiply the whole number with the denominator then add to the numerator then we have

[tex]\frac{-6}{5}[/tex]-

Therefore, the improper fraction of the given figure is [tex]\frac{-6}{5}[/tex]

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Ello there mate hows it going? I have done geometry and parlinguals along with alegbra! I am certified as a college professor and am willing to help ya!

PLEASE THANK ME RATE MY QUESTION 5 STARS AND MARK ME BRAINLIEST for my extrodinary and overly qualified help!

A,C

yours,

a soon to be brainliest

Answer:

C

Step-by-step explanation:

Commutative property means to add in a different order.

Step-by-step explanation:

Hey there!

The given points are; (2,2) and (5,y).

Slope (m) =2

Using formula for slope, we get;

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Put all values.

[tex]2 = \frac{y - 2}{5 - 2} [/tex]

Simplify it to get value of"y".

[tex]2 = \frac{y - 2}{3} [/tex]

[tex]6 = y - 2[/tex]

[tex]y = 6 + 2[/tex]

Therefore, y= 8.

Hope it helps...

Answer:

The correct answer is: D

Step-by-step explanation:

Consider the domain, which in this case x cannot be equal to -4 and -2.

The LCD of the rational equation is (a) (x + 4)(x + 2)(x - 2)

The rational equation is given as:

[tex]\frac{x}{x + 4} + \frac{x - 1}{x + 2} = \frac{3}{x^2 + 2x - 8}[/tex]

Factorize the denominator of the fraction on the right hand side

[tex]\frac{x}{x + 4} + \frac{x - 1}{x + 2} = \frac{3}{(x - 2)(x + 4)}[/tex]

Write out the common factors in the denominator

LCD = (x + 4)(x + 2)(x - 2)

Hence, the LCD of the rational equation is (a) (x + 4)(x + 2)(x - 2)

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Answer: .3330

Step-by-step explanation:

The proportion of exam scores are between 82 and 89.2 points is 0.3330.

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

When comparing data sets that may have the same mean but a different range, it is helpful.

The mean of the two numbers 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30 for instance, is the same. The second, though, is obviously more dispersed.

Given:

mean = 83.2 points and

standard deviation = 8 points.

So, the proportion is

P(82 ≤ x ≤ 89.2)

=P( 82- 83.2 / 8 ≤ z ≤ 89.2 - 83.2/8)

=P (0.75) - P(-0.15)

=0.7734 -(0.4404)

= 0.3330

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Answer:

y=-1/3x+3

Step-by-step explanation:

Answer:

f(g(x))=6x-8

Step-by-step explanation:

To keep it simple lets say if , for example

[tex]f(x)=2x-4[/tex]

then f(2) would be what?

[tex]f(2)=2(2)-4\\f(2)=0[/tex]

which means we plugged in x=2 in our f(x) this goes for same as the composite function [tex]f(g(x))[/tex] where we plug in g(x) in f(x) and replace x with g(x). I'll show you

[tex]f(x)=2x-4\\g(x)=-3x+2\\[/tex]

now we insert g(x) in f(x) cause we need f(g(x)) which means we replace x with the function g(x).

[tex]f(g(x))=-2(-3x+2)-4[/tex]

[tex]f(g(x))=6x-4-4\\f(g(x))=6x-8[/tex]

so that is our final answer.

Hope i helped

Answer:

y-intercpet is In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

Answer:

The cost for day when x miles are driven is

C = 0.48x + 20

Step-by-step explanation:

Firstly, we shall need to write an equation that represents the rent age

Let C be the cost and m is the number of miles driven

C = 20 + 0.48m

So given that x miles are driven, then m = x

This implies = 20 + 0.48x

Answer:

9 degrees farenehit

Step-by-step explanation:

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

Explanation:

x = number of hours since 2 AM

y = temperature in degrees Fahrenheit

The starting temperature is -15 degrees, so the y intercept is b = -15.

The temperature goes up 3 degrees each hour, so the slope is m = 3

The equation is y = 3x-15

Now plug in x = 4 since 6 AM is four hours after 2 AM.

We get the following

y = 3x-15

y = 3*4-15

y = 12-15

y = -3

The temperature at 6 AM is -3 degrees Fahrenheit.

-------------------------

Check:

Start at -15 and add 3 for each hour

It might help to make a number line.

2 AM = -15 degrees

3 AM = -12 degrees

4 AM = -9 degrees

5 AM = -6 degrees

6 AM = -3 degrees

This confirms the answer.

Answer: b

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

265/53= 5

Answer:

265÷53=5

Step-by-step explanation:

just get a calculator

Answer:

it would be 60 degrees at noon

Step-by-step explanation:

Draw out a vertical number line. Positive values are above 0, and negative values are below zero.

Answer:

x=12

Step-by-step explanation:

5x-2 = 58

5x = 60

x = 12

Answer:

Well, if b = 2, then 12 - b = 10

Step-by-step explanation:

hope this helps, lol! <3