Why equals 3/4 X -12 and why equals negative 4X - 31

Answers

Answer 1

Answer:

  (x, y) = (-4, -15)

Step-by-step explanation:

Perhaps you want the solution to ...

  y = 3/4x -12

  y = -4x -31

Equating the two expressions for y gives ...

  3/4x -12 = -4x -31

  3/4x = -4x -19 . . . . . add 12

  3x = -16x -76 . . . . . multiply by 4

  19x = -76 . . . . . . . . . add 16x

  x = -76/19 = -4 . . . . divide by 19

  y = (3/4)(-4) -12 = -15 . . . . use the first equation to find y

The solution to this system of equations is ...

  (x, y) = (-4, -15)

Why Equals 3/4 X -12 And Why Equals Negative 4X - 31

Related Questions

Using the information below, Solve for x. Show Your Work with your answer.
X + 2y = 5
2x + y = 12


-2(x + 2y = 5)
-2x - 4y = - 10


-2x - 4y = -10
2x + 6y = 12
_____________
2y = 2
————————
2 2


y=1

Answers

[insert answer here]

Step-by-step explanation:

Is the statement​ "The solution set of a linear system involving variables x 1 comma ... comma x Subscript n is a list of numbers (s 1 comma ... comma s Subscript n Baseline )that makes each equation in the system a true statement when the values s 1 comma ... comma s Subscript n are substituted for x 1 comma ... comma x Subscript n Baseline comma ​respectively" true or​ false? Explain. A. ​True, because the list of variables (x 1 comma ... comma x Subscript n Baseline )and the list of numbers (s 1 comma ... comma s Subscript n Baseline )have a​ one-to-one correspondence. B. ​False, because the description applies to a single solution. The solution set consists of all possible solutions.

Answers

Answer:

  B. ​False, because the description applies to a single solution. The solution set consists of all possible solutions.

Step-by-step explanation:

The choice of true or false revolves around whether a linear system can have more than one solution.

The problem statement does not say the equations are independent, a condition that must be satisfied if there is to be only one solution. Hence we must assume that the system may be dependent or even inconsistent, leading to zero, one, or an infinite number of solutions. The answer above carries its own explanation.

  False, for the reason given

A line with a slope of -7 passes through the points (10,v) (9,4) What is the value of V?

Answers

Answer:

  -3

Step-by-step explanation:

An increase in x-value from 9 to 10 is an increase of 1 unit. The slope of -7 tells you that the corresponding change in y will by -7 units:

  v = 4 -7 = -3

The value of v is -3.

_____

Alternate solutions

You can see this easily on a graph, or you can use the equation of the line. We have a point and a slope, so the point-slope form is useful.

  y = m(x -h) +k

  y = -7(x -9) +4

For x=10, the value of y is ...

  v = -7(10 -9) +4 = -7 +4

  v = -3

A cylinder has a base diameter of 8 feet and a height of 5 feet. What is its volume in
cubic feet, to the nearest tenths place?

Answers

40 hope it’s right:)


Alex and Micah scored a total of 40 points in the basketball game. Micah scored four more points than twice Alex's score. How many points did Micah score?
a. 10 points
B. 28 points
C. 12 points
D. 22 points​

Answers

Answer: D

Step-by-step explanation:

 2x + (2x +4 ) =40

x= 9

2(9) +4 =22

Find the distance between (-10,12) and (-6,-14). Round to the nearest hundredth

Answers

Answer:

26.31 units

Step-by-step explanation:

Given: Points [tex](-10,12),(-6,-14)[/tex]

To find: Distance between the given points

Solution:

Let [tex](x_1,y_1)=(-10,12)\,,\,(x_2,y_2)=(-6,-14)[/tex]

The distance formula is used to find the distance between two points [tex](x_1,y_1),(x_2,y_2)[/tex]

According to distance formula,

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\sqrt{(-6+10)^2+(-14-12)^2}\\ =\sqrt{16+676}\\ =\sqrt{692}\\ =26.31[/tex]

So, distance between the given points is 26.31 units

What’s the correct answer for this?

Answers

Answer:

B

Step-by-step explanation:

In the attached file

Determine if the point (2, 6) is on the graph of

Answers

Answer:

  it is not on the graph

Step-by-step explanation:

Put the given values into the equation and see if it is true:

  -2(2) +1/3(6) = -1

  -4 +2 = -1 . . . . . . . .FALSE

The point is not on the graph of the equation.

Help ASAP giving BRAINLIEST! Am i correct?

Answers

Answer:

You are correct

Step-by-step explanation:

x - 8 < 23

Add 8 to both sides

x - 8 + 8 < 23 + 8

Simplify

x < 31

Yes, you are correct.

what is the degree of x^4-3x+22​

Answers

Answer:

4

Step-by-step explanation:

The degree is the highest power on the exponent when they are lined up from highest to lowest

The degree is 4

Which figure below has point symmetry

Answers

Answer:

Figure D

Step-by-step explanation:

Point Symmetry is when every part has a matching part: the same distance from the central point. but in the opposite direction. Hope this helps! :)

help plz now quick if right brain list

Answers

Answer:

c= 5 yards.

Step-by-step explanation:

4*1.5=6

30/6= 5

EASY

A broken thermometer reads 33° F, but Kira knows that the temperature is at least 33° F, if not even colder. Which of the following inequalities, shows the possible temperatures?

t ≤ 33° F

t ≥ 33° F

t > 33° F

t < 33° F

Answers

Answer: t ≥ 33

Step-by-step explanation:

So the temperature has to equal to 33 or less than 33.It can't be greater than 33.

2x² +6 = 8x
what are the values of x here? ​

Answers

x1 = 1
x2 = 3
Hopefully this helped!

Answer:

x = 1 and x = 3

Step-by-step explanation:

Move 8x over to get the equation 2x² - 8x +6 = 0

Then factor to get (2x - 2)(x - 3)

Set both factors equal to zero and solve

2x - 2 = 0

2x = 2

x = 1

x - 3 = 0

x = 3

Use the Distributive Property to solve the equations. -4(x+3)=8. What does x equal?

Answers

Answer:

-5

Step-by-step explanation:

-4x-12=8

     +12.  +12

-4x=20

Divide -4 on both sides

20/-4

x= -5

Write (x - 5)(x + 5)(2x - 1) in standard form.
-x2 + 2x2 - 50x + 25
2r? - x? - 50x + 25
2x - x2 - 50x
-50x - x? + 2x

Answers

Answer:

2x3 - x2 - 50x + 25

Step-by-step explanation:

So the first thing you would do is multiply (x - 5)(x + 5)

x2 + 5x - 5x - 25

then you would simplify

x2 - 25

then you would multiply it by 2x - 1

(x2 - 25)(2x - 1)

2x3 - x2 - 50x + 25

so your answer is  

2x3 - x2 - 50x + 25

Sara goes on a slingshot ride in an amusement park. She is strapped into a spherical ball that has a radius of centimeters. What is the volume of air in the spherical ball? Use this formula: , where r is the sphere’s radius.
A.

B.

C.

D.

Answers

Answer:

A. 4×π×3²×[tex]10^{6}[/tex]

Step-by-step explanation:

r = 3×10² = 3×100 = 300

[tex]\frac{4}{3}[/tex]×π×300³=

[tex]\frac{4}{3}[/tex]×π×27,000,000=

[tex]\frac{108,000,000}{3}[/tex]×π=

36,000,000π

Answers solved:

A. 36,000,000π

B. 108,000,000π

C. 3,600,000π

D. 32,400,000π

The solution is Option A.

The volume of the air in the spherical ball is given by the equation

V = 4π ( 3 )² ( 10 )⁶ cm³

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the volume of the sphere be represented as V

Now , the radius of the spherical ball be r

The value of r = 3 ( 10 )² cm

So , the volume of the spherical ball = ( 4/3 ) πr³

Substituting the values in the equation , we get

Volume of the spherical ball V = ( 4/3 ) x π x [ 3 ( 10 )² ]³

On simplifying the equation , we get

Volume of the spherical ball V = ( 4/3 ) x π x ( 3 )³ ( 10 )⁶

Volume of the spherical ball V = 4 x π x ( 3 )² ( 10 )⁶

Therefore , the value of V is 4π ( 3 )² ( 10 )⁶

Hence , the volume of the spherical ball is 4π ( 3 )² ( 10 )⁶

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Equations
What is the solution of the system of linear equations?
-3x + 4y = -18
2x - y = 7

(-2,-3)
(-2,3)
(2, -3)
(2, 3)​

Answers

Answer:

Step-by-step explanation:

-3x + 4y = -18

8x - 4y =   28

5x = 10

x = 2

4 - y = 7

-y = 3

y = -3

(2, -3)

The solution of the system of linear equations given is (2,-3), the correct option is C.

What is System of Linear Equation?

The system of linear equation is set of equations which have a common solution.

The equations are

-3x+4y = -18

2x-y =7

The linear equations can be solved using substitution method

y = 2x -7 from equation 2 will be substituted in equation 1

-3x +4 ( 2x -7) = -18

-3x +8x -28 = -18

5x = 10

x = 2

y = 2 * 2 -7 = -3

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Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.

Answers

Answer:

(x + 5) (x - 7)

Step-by-step explanation:

To factor this trinomial, you must split the middle term (-2x) into two terms that can be added to get -2x, and multiplied to get -35:

[tex]x^2[/tex] - 2x - 35

[tex]x^2[/tex] - 7x + 5x - 35

Group:

([tex]x^2[/tex] - 7x)  (5x - 35)

Take out GCF (Greatest Common Factor):

x(x - 7)  5(x - 7)

(x + 5) (x - 7)

A 13​-pound mixture of coffee that contains both decaffeinated and regular coffee costs ​$34. The decaffeinated coffee costs ​$2 per​ pound, and the regular coffee costs ​$3 per pound. ​(a) Let x be the weight of the decaffeinated coffee and y be the weight of the regular coffee. Write a system of equations whose solution gives the amount of each type of coffee in the mixture. ​(b) Use the method of substitution to solve the system of equations.

Answers

Answer:

Weight of decaf coffee = 5 pounds.

Weight of regular coffee = 8 pounds.

Step-by-step explanation:

(a) Let x be the weight of decaf coffee and y the weight of regular coffee. Then:

x + y = 13

2x + 3y = 34

(b) From the first equation x = 13 - y, so substituting for x in second equation:

2(13 - y) + 3y = 34

26 - 2y + 3y = 34

y = 34 - 26 = 8.

Substituting for y in the first equation:

x + 8 = 13

x = 5.

There are five families that each have one child. Each of them hires Riley as a babysitter. Because the children she babysits are different ages, Riley charges each family a different amount. To visualize her earnings, Riley recorded and plotted her pay from each job. Using the scatterplot, calculate her average rate of pay.

Answers

Answer:

Average Rate of Pay = $ 5.23 /hr

Step-by-step explanation:

We have a data in form of Hours of Baby Sitting and Amount of Pay. Since the Amount of pay depends upon the Hours of Baby Sitting. Thus, we take y = Amount of Pay, while x = Hours of Baby Sitting. So, the data becomes:

x (Hours) =   12      13      16      17       20

y ($)         =  54     56     65     64     100  

The statistical data calculated is:

∑x = 78,   ∑x² = 1258,   ∑y = 339,  ∑xy = 5504,   n = no. of data points = 5

Now, we use linear regression model to fit a straight line to this data.

y = a + bx   --------- eqn (1)

where,

b = [ n∑xy - ∑x.∑y]/[n∑x² -(∑x)²]

b = [ (5)(5504) - (78)(339)]/[(5)(1258) - (78)²]

b = 5.23

and,

a = (∑xy - b∑x²)/∑x

a = [5504 - (5.23)(1258)]/78

a = -13.83

Therefore, eqn (1) becomes:

y = -13.83 + 5.23x

The graph plot of this straight line fit is provided in the attachments.

Now, we derivate the equation with respect to x, to get the average rate of pay:

Average Rate of Pay = dy/dx = d/dx(-13.83 + 5.23x)

Average Rate of Pay = $ 5.23 /hr

Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval.The equation ex = 6 − 5x is equivalent to the equation f(x) = ex − 6 + 5x = 0. f(x) is continuous on the interval [0, 1], f(0) = ____, and f(1) = ____. Since f(0) < 0 < f(1), there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 6 − 5x, in the interval (0, 1).

Answers

Answer:

f(c)=4f, left parenthesis, c, right parenthesis, equals, 4 for at least one ccc between -2−2minus, 2 and 11

Step-by-step explanation:

hope this helps

There is a root in the given equation ex = 6 − 5x, in the interval (0, 1).

It is required to find the functions has f(0) and f(1).

What is function?

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

Using Intermediate value Theorem we have

If F(x) is continuous and f(a) and f(b) have opposite signs then there will be at a point  (a ,b)  whereby F(c) = 0

The equation is

[tex]f(x) = e^{x} - 6 + 5x = 0[/tex] on  interval [0, 1],

This shows that the F(x) is continuous on (0,1).

[tex]f(0) = e^{0} - 6 + 5*0 = -5\\ \\f(1) = e^{1} - 6 + 5*1 = e-1[/tex]

e = 2.7182

since the functions has f(0) and f(1) have opposite signs then there is at a point whereby F(c) = 0 ( intermediate value theorem fulfilled )

Hence, there is a root in the given equation ex = 6 − 5x, in the interval (0, 1).

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Which is the slope of the line that passes through the points (3, 17) and
(7.25)?

Answers

Assuming you meant to put (7,25), then the answer m = 2.
m is the slope of the line.

The slope is equal to the change in Y divided by the change in X, or rise over run.
So in each parentheses there’s an X part ( the first number before comma, in this case, that would be either 3 or 7) and a Y part ( the number after the comma, in this case, 17 or 25).

Here’s how to solve it:

m = (y2- y1)/(x2-x1)

m = 25 -(17)/7-(3)

m = 8/4

which you can simplify to

m = 2

I hope this helps.

How many seconds would it take to fill up one gallon

Answers

Answer:

5 seconds

Step-by-step explanation:

(60 / seconds = GPM)

60 / 5 = 12 GPM

12 GPM = 60 seconds

Simplified

1 Gallon is 5 seconds

Answer:

5

Step-by-step explanation:

which of the following is an expression for”doubling a number n and dividing by 3”?

Answers

Answer:

2n/3

Step-by-step explanation:

hope this helps!! moo

Cuantas bases tiene un prisma

Answers

Answer:

Depende del tipo de prisma del que estés hablando.

Step-by-step explanation:

Un  el prisma rectangular tiene 6 bases y un prisma triangular tiene 5 bases. Un prisma triangular sólo tiene dos bases.

Which of these tables lists all the possible outcomes of flipping 3 coins? (Each row represents one outcome.) Choose all answers that apply: Choose all answers that apply:

Answers

Answer:

Table B

Step-by-step explanation:

The table B shows possible outcomes of flipping 3 coins.

What is Outcome in Experiment?

A probability experiment is a test in which we execute a series of trials to determine the likelihood of an event occurring in the future. A probability experiment's results may reveal a previously unknown truth or lead us to learn anything about the likelihood (or chance) of an occurrence occurring in the future.

Given:

If three coins are flipped then the possible outcomes are:

{ HHH,

HHT,

HTH

THH,

TTT,

TTH,

THT,

HTT}

So, there total 8 number of outcomes.

But in table 1 the number of outcomes is 5.

Thus, table B shows possible outcomes of flipping 3 coins.

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6th grade math help me please ! :))

Answers

Answer:

210 pounds because after 7 days (week) thats how much bambo the panda will eat

Step-by-step explanation:

90 pounds = 3 days

6 days = 180 pounds

1 day = 30 pounds

180 +30= 210 pounds

a panda can be at 630 pounds of bamboo in a week because if they eat 90 ponds in 3 days which is 270 ponds you would just multiply 90 times 7 to get 630

Triangle ABC is rotated 180º using the origin as the center of rotation.

On a coordinate plane, triangle A B C has points (negative 4, negative 3), (negative 5, negative 2), (negative 3, negative 2). Triangle A prime B prime C prime has points (4, 3), (5, 2), (3, 2).

Which sequence of transformations will produce the same result?

a
a reflection over the x-axis and then a reflection over the y-axis
b
a translation up 4 and then a translation right 6
c
a translation up 4 and then a reflection over the y-axis
d
a translation right 6 and then a reflection over the x-axis

Answers

Answer:

a. a reflection over the x-axis and then a reflection over the y-axis

Step-by-step explanation:

If you plot it on a graph (you can use Desmos), you can see the triangles and only a. a reflection over the x-axis and then a reflection over the y-axis makes sense.

Answer:

thats c

Step-by-step explanation:

A rhombus has side lengths of 25. What could be the lengths of the diagonals?

A. 22 and 40
B. 26 and 36
C. 26 and 48
D. 30 and 40

Answers

Answer:

The correct option is;

D. 30 and 40

Step-by-step explanation:

Here, we have that the rhombus is a quadrilateral with equal and parallel sides hence the length of the diagonals will be

2 × 25×sinθ  and 2 × 25× cosθ

Therefore tanθ = (2 × 25×sinθ)/(2 × 25× cosθ) = (sinθ)/(cosθ)

Therefore, the root of the sum squares of both diagonals = 50

Therefore, we analyze each of the options as follows

For A. we have √(22² + 40²) = 45.65 ≠ 50 therefore these are not the length of diagonals of the rhombus in question

For B. we have √(26² + 36²) = 44.41 ≠ 50 therefore these are not the length of diagonals of the rhombus in question

For C. we have √(26² + 48²) = 55.59 ≠ 50 therefore these are not the length of diagonals of the rhombus in question

For D. we have √(30² + 40²) = 50 therefore these are possible lengths of diagonals of the rhombus in question.

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