Solve 2c − 8f = 24 for f. Show your work.

Answer:

the vertex of a quadratic equation:

a*x^2 + b*x + c = y

Is located at:

x = -b/2a.

In this case, x = -2

Then:

-b/2a = -2.

And we also have that:

a*(-2)^2 + b*-2 + c  = 3

Then we have two equations:

-b/2a = -2

a*(-2)^2 + b*-2 + c  = 3

We have only 2 equations and 3 variables, so we can just give the variable c different values and we will find different quadratic equations that are not equivalent.

Let's begin with c = 0, our equations are:

-b/2a = -2

a*(-2)^2 + b*-2 + 0  = 3

In the first equation we can isolate b and get:

b = 4*a

Now we can replace this in the other equation and solve this for a.

a*4 + 4*a*-2 = 3

-4*a = 3

a = -3/4

then:

b = 4*a = 4*-3/4 = -3

The first quadratic equation is:

(-3/4)*x^2  - 3*x = y.

Now, to find the second let's use a different value of c.

c = 1

b = 4*a

a*(-2)^2 + b*-2 + 1  = 3

Let's solve in the same way as before:

a*4 + (4*a)*-2 + 1 = 3

-4*a = 2

a = 2/-4 = -1/2

b = 4*-1/2 = -2.

Then our equation is:

(-1/2)*x^2 - 2*x + 1 = y

For the last equation, let's use c = 2.

then our equations are:

b = 4*a

a*(-2)^2 + b*-2 + 2  = 3

Same as before, replace the first equation in the second.

a*4 + (4*a)*-2 + 2 = 3

-4*a + 2 = 3

-4*a = 1

a = -1/4

Then:

b = 4*(-1/4) = -1

Our third equation is:

(-1/4)*x^2 - 1*x + 2 = y

Now, below you can see all of them graphed.

Where red is the first one, blue the second and green the third one. (and as you can see, all of them share the vertex (-2,3) )

Answer:

If two or more of the transformations have a vertical effect on the graph, the order of those transformations will most likely affect the graph. If two or more of the transformations have a horizontal effect on the graph, the order of those transformations will most likely affect the graph.

Step-by-step explanation:

Hope this helps you with your math

Answer:

5

Step-by-step explanation

Aops Question

[x] can be any number between -

3.33 < x < 4.29.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is the following inequality -

[tex]$\frac{2}{3} < \frac{x}{5} < \frac{6}{7}[/tex]

We can write -

x/5 > 2/3

x > 10/3

x > 3.33

and

x/5 < 6/7

x < 30/7

x < 4.29

[x] can be any number between -

3.33 < x < 4.29

Therefore, [x] can be any number between -

3.33 < x < 4.29.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

Answer:

There are 8 possible outcomes

h h h

t t t

h t h

t h h

h h t

h t t

t t h

t h t

One head and 2 tails occurs in the sixth, seventh and eighth rows.

So, the probability is 3 out of 8 or 3/8 or .375

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Assuming that the in parentheses is what we are supposed to change (3)..We would replace the three with the negative two this means that we will solve for four times -2 which equals -8.Hope this helps!

Answer:

16 pints

Step-by-step explanation:

Answer:

Step-by-step explanation:

1:2

1 q to 2 p

8q to 16 p or 8:16

Answer:

The correct matches are;

All students at the university → Population

The proportion of the 300 surveyed students who are in-state students → Statistic

The list of the 300 answers to the survey question → Data

The answer in-state out-of-state or foreign → Parameters

The 300 students who were surveyed → Sample

The proportion of all students from this university who are in-state → Variable

Step-by-step explanation:

1) The population is the set that contains total number of possible observation in the question, the population is all the students of the university

2) A statistic is a calculated quantity derived from a sample's data value that can be used in estimating a parameter of the population or outlining a sample characteristic

The proportion of the in-state student in the sample is found by taking the ratio of the number of in-state student in the sample to the total number of student in the sample

3) Data are collected information which may be qualitative or quantitative variables

The answers collected in the survey are the data of the 300 surveyed student

4) A parameter is the value that is used as the means of measuring or classifying an item or system

5) A sample is a part or portion of a population, that serves as representative of the population

6) A variable is a quantity that can vary or cannot be said to be constant.

The number proportion of all students from the university who are in-state students can change due to change in the proportion during graduation and admission.

The vocabulary word when correctly matched to the corresponding example would give:

Population

Parameters

Data

Variable

Sample

Statistic

Read more about statistics here:

https://brainly.com/question/12150562

Answer:

18

Step-by-step explanation:

or

for taking sq root:

x=√10 or x=−√10

Answer:

9. B

10. C

11. A (probably)

12. D

Answer:

9) a

10) c

11) a

12) d

( I don't know if 11 and 12 are correct)

Answer:

C

Step-by-step explanation:

I just took the quiz :D

May I have Brainiest???

Answer:

thxss for the points love

Step-by-step explanation:

kisses

Answer:

16

Step-by-step explanation:

Answer:

Price per yard is $6,5

Step-by-step explanation:

22.75/3.5 = 6,5

Answer:

2/3

3/5

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

Let 'x' represent the actual salary.

|x - 25,000| <= 1800

- 1,800 <= x - 25,000 <= 1,800

25,000 - 1,800 <= x <= 25,000 + 1,800

23,200 <= x <= 26,800

The range of the salary is the closed interval [23,200, 26,800].

Answer:

42

Step-by-step explanation:

Answer:

The answer would be (A.)

Step-by-step explanation:

Can you answer my question that i just posted please and thank you :)

Answer:

The equation is y = 3x - 1

Step by Step Explanation:

Ok, so your first step in solving this would be substituting m in the equation with the slope, since m represents the slope. So then you would have y = 3x + b. Now, to find b, you would have to substitue the point (1,2) into the equation. You would replace 2 with y since that's the y coordinate, and 1 with x since that's the x coordinate. Then you have 2 = (3*1) + b. Now, you solve for this. You get 2 = 3 + b. Isolating the variable b, you have b = -1. So, the result is y = 3x - 1. That's your answer

Answer:

y = -2x - 9

Step-by-step explanation:

so we have our two points, (-4,-1) and (-8,7) What we need to do to find our slope is y2 - y1 over x2 - x1. Once plugging in the numbers and subtracting it should give you 8/-4. 8 divided by -4 is -2. m = -2. Now to find our "b" we plug in our slope, and plug in one of the two points into the format of y = mx + b.

-1 = -2(-4) + b

multiply -2 and -4

-1 = 8 + b

we subtract 8 from itself and -1

-9 = b

Our equation is y = -2x - 9

Answer:

it is 4 i just did it

Step-by-step explanation:

Answer:

Four

Step-by-step explanation:

4

Answer:

12

Step-by-step explanation:

Since they traveled in opposite directions, we would add the 2 numbers!

8+4=12.

Answer:

A

Step-by-step explanation:

Because when the line passes through (0,8) with perpendicular to the graph of y =1/4 x =2 it equals y+1/4x+6.

The equation of line q in slope-intercept form is y = -4x - 6 if the line p passes through the point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2.

A straight line is a combination of endless points joined on both sides of the point.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

Line p passes through the point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2.

The slope of the line p is:

m(p) = -4

The slope of the line q parallel to line p:

m(q) = -4

The equation of the line q:

y - 6 = -4[x + 3]

Line q passes through the point (-3, 6).

The equation of the line:

y = -4x - 12 + 6

y = -4x - 6

Thus, the equation of line q in slope-intercept form is y = -4x - 6 if the line p passes through the point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ2

Answer:

x = 8mi

Step-by-step explanation:

Use Pythagorean theorem! It states that you can find any side of the triangle using the equation  +  =  . The sides a and b are the sides that are shortest, and c is the longest/slanted side (hypotenuse). So plug in what they give you to get  +  =  ( a and b can be used for either number that is not the hypotenuse). A little bit of basic algebra will lead you to get x=8 mi.

A is the correct answer

Responder:

Opción de respuesta c

Explicación paso a paso:

Es una pendiente positiva como los datos, también coincide con muchos de los puntos.

Espero que te aya ayudado

Answer:

Answer choice c

Step-by-step explanation:

It is a positive slope like the data, it also matches up with many of the points.

Answer:

Rational

Step-by-step explanation:

Answer:

y=8x-25

Step-by-step explanation:

I put my work in the picture I attached

Answer:

y=8x-25

Step-by-step explanation:

1) You find the slope by doing y2-y1/x2-x1 (so 7-(-1)/4-3) then you get the slope of 8

2) then you plug in some points using the slope (I'll use the point (3,-1)) : -1=8(3)+b

3) to find "b", you solve: -1=24+b --> b=-1-24 --> b=-25

4) then you put everything together and you get y=8x-25

Answer:

X+Y=20

Step-by-step explanation:

(x+2)2+(y-4)2=36

2x+4+2y-8=36

2x+2y=36+4

X+Y=20

Final answer

X+Y=20

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Straight lines.

Since the slope of the line, m = -1/2

and we know that, line equation is, y=mx+c

so the answer is, option 1.)

1.) y-4 = -1/2 (x+6)

Answer:

c.

Step-by-step explanation:

f(x)=3x+5

y=3x+5

x=3y+5

x-5=3y

y=(x-5)/3

y=1/3x-5/3