Identify the independent variable (domain).

5x+2y= 150

Answers

Answer 1

Answer:

The independent variable is x

Step-by-step explanation:

In the equation y = m x + b

m is the rate of change ⇒ constantb is the initial value ⇒ constantx is the domain ⇒ inputy is the range ⇒ output

x is the independent variable because it does not depend on any value

y is the dependent variable because it depends on the value of x

Let us solve the question

∵ 5x + 2y = 150

→ Put it in the form above by subtracting 5x from both sides

∵ 5x - 5x + 2y = 150 - 5x

∴ 2y = 150 - 5x

→ Divide each term by 2 to make the coefficient of y equal 1

∴ y = 75 - 2.5x

y = -2.5x + 75

→ Compare is by the form above

∴ m = -2.5 and b = 75

x is the independent variable (domain)

∴ y is the dependent variable (range)


Related Questions

10. At a certain company, the average starting salary s for a new worker is $25,000. The actual
salary has an absolute deviation of at most $1800. Write and solve an inequality to find the
range of the starting salaries.
Copyright © Big Ideas Learning, LLC
Integrated Mathematics 1
57

Answers

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].

(-4,1) and (-8,7)

write an equation in slope-intercept form

Answers

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


Write 3 quadratic equations that are NOT
equivalent, each forming a graph with vertex (-2, 3)

Answers

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) )

Find an integer $x$ such that $\frac{2}{3} < \frac{x}{5} < \frac{6}{7}$.

Answers

Answer:

5

Step-by-step explanation

Aops Question

[x] can be any number between -

3.33 < x < 4.29.

What is a expression? What is a mathematical equation? What is Equation modelling ?

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

What is the area of a circle with equation (x+2)2+(y-4)2=36?

Answers

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

If one quart is the same amount as 2 pints, how many pints are in 8 quarts​

Answers

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

The mean age of five people in a room is 24. One of the people (age 40) leaves the
room. The mean age of the remaining four people is

Answers

Answer:

thxss for the points love

Step-by-step explanation:

kisses

Answer:

16

Step-by-step explanation:

Josh and Corey met up for lunch. When they were done, Josh traveled 8 blocks east and Corey traveled 4 blocks west. How many blocks away from Josh was Corey?

Answers

Answer:

12

Step-by-step explanation:

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

8+4=12.

CORRECT ANSWER GETS BRAINLIEST !
Vana lives 6 miles from the library and 18 miles from the museum . To the nearest mile . What is the shortest distance from the museum to the library ?
A.16mi
B.17mi
C.19mi
D.20mi

Answers

Answer:

C

Step-by-step explanation:

I just took the quiz :D

May I have Brainiest???

Shelly pays $22.75 for 3.5 yards of fabric. What is the price per yard of fabric?

Answers

Answer:

Price per yard is $6,5

Step-by-step explanation:

22.75/3.5 = 6,5

$6.5 per yard of fabric

is 45.213623 rational or irrational

Answers

If that is the whole number and there aren’t any more after the 3 then it is rational due to the fact that the number stops. If it keeps going then it is an irrational because it keeps going forever

Answer:

Rational

Step-by-step explanation:

Why does the sequence of translating and reflections matter?

Answers

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

giving extra points pls help

Answers

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.

can someone help wit this asap i have 10 more mins

Answers

A is the correct answer

Choose the point-slope form of the equation below that represents the line that
passes through the points (-6, 4) and (2, 0). (2 points)
1) y - 4 =-1/2 (x+6)
2) y - 4 = 2(x + 6)
3) y+6=-1/2(x - 4)
4) y + 6 = 2(x - 4)

Answers

[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)

Two classes are having pizza parties. Ms. Rodriguez’s class decides to order enough so that every 3 students will have 2 pizzas. Mr. Becker’s class decides to order enough so that every 5 students will have 3 pizzas. Complete the following statements. You can enter whole numbers, decimals rounded to the hundredths place, or simplified fractions.


Each student in Ms. Rodriquez’s class will get _____ of a whole pizza.
Each student in Mr. Becker’s class will get _____ of a whole pizza.

Answers

Answer:

2/3

3/5

Step-by-step explanation:

PLZ HELP WITH THIS, I'LL MARK BRAINLIEST

Answers

Answer:

With something like this you have to start out with 3 givens. what I do for these specific kinds of questions is just put something random in the first half, then put something random twice in the second slot, click clear, then it'l give you a button that says "clear" then a little after it'll say "hint" or "demo" the click those buttons and just put the second half in something random until it pops off, this works every time and will allow you to go to the next task.

Step-by-step explanation:

May I have brainliest please? :)

Answer:

Statement: ∠1 ≅∠2

Reason: When two parallel lines are cut by a transversal, alternate exterior angles are congruent

Step-by-step explanation:

the graph below shows a proportional relationship between x and y. what is the constant of proportionaliy y/x​

Answers

Answer:

it is 4 i just did it

Step-by-step explanation:

Answer:

Four

Step-by-step explanation:

4

write the equation of a line that has a slope of 3 and passes through the point (1,2) in slope intercept form

Answers

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

which is the line of best fit and why?

Answers

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.

Helps me solve this problem please

Answers

Answer:

0

Step-by-step explanation:

hope this helps :)

Can u help my 9-12 real quick

Answers

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)

A scatter plot containing the point (12, 12) has the regression equation yˆ=14x+1.

What is the residual e when x = 12?

Enter your answer in the box.
e =

Answers

Answer:

Im pretty sure it is E=8

Step-by-step explanation:

Answer:

E=8

Step-by-step explanation:

took the test :)

Line p passes through point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2. Line q is parallel to line p and passes through point (-3, 6). Which is the equation of line q in slope-intercept form? A. y= 1/4x+6 B. y = -1/4 x + 8 C. y = 4x – 8 D. y=-4x - 6​

Answers

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.

What is a straight line?

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

1. If g(x)= 4(3)* then g(-2)= ?


Help please

Answers

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!

helppp i’ll give brainliest

Answers

Answer:

6 x 10^-4 (B)

Step-by-step explanation:

It is the greater number.

B- is the bigger number 6x ^10-4




1. A watch with a regular price of $85.00 is now on sale with a discount of 20%. Calculate
the sale price of this watch. Describe your strategy for finding the sale price

Answers

Answer:

$68

Step-by-step explanation: All you do is divided 85 by 20 boom

Answer:

$68

Step-by-step explanation:

20% of $85

= 20/100 * 85

= $17

sale price

= 85 - 17

= $68

Complete the equation of the line through (3,-1) and (4,7)

Answers

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

PLEASE HELP WITH THIS!

Answers

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 :)

If three coins are tossed, how many outcomes are favourable to getting 1 head a 2 tails. Present the answer as a fraction.

Answers

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:

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