4x - 5y = 10 solve for y=mx+b​

Answer:

y = -x + 9

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

(0, 9) y-intercept

(9, 0) x-intercept

Step 2: Find slope m

[tex]m=\frac{0-9}{9-0}[/tex]

[tex]m=\frac{-9}{9}[/tex]

[tex]m=-1[/tex]

y = -x + b

Step 3: Write linear equation

y = -x + 9

Answer:

y = -x + 9

Step-by-step explanation:

Slope Formula:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

(0, 9) y-intercept

(9, 0) x-intercept

Step 2: Find slope m

y = -x + b

Step 3: Write linear equation

y = -x + 9

Answer:

-3x-7

Step-by-step explanation:

Combine like terms

-6+-1 = -6-1 = -7

Hence, it's -3x-7

Answer:

[tex]g(x) = (x-a,-y - b)[/tex]

Step-by-step explanation:

Given

Represent f(x) as follows:

[tex]f(x) = (x,y)[/tex]

Transformations:

Horizontally shifted right by a

Reflected across x axis

Vertically shifted down by b

Taking the transformations one after the other.

Horizontally shifted right by a

When a function is shifted right, the resulting function is:

[tex]f' = (x-a,y)[/tex]

Reflected across x axis

Here, the x axis remains unaltered while the y axis is negated

[tex]f' = (x-a,y)[/tex]

becomes

[tex]f" = (x-a,-y)[/tex]

Vertically shifted down by b

When a function is shifted down by b, the resulting function is:

[tex]f"' = f" - b[/tex]

i.e, subtract b from the function (f(x) or y, as the case may be)

So, we have:

[tex]f"' = (x-a,-y - b)[/tex]

Represent f"' with g(x)

[tex]g(x) = (x-a,-y - b)[/tex]

Answer:

swing state

noun

a US state where the two major political parties have similar levels of support among voters, viewed as important in determining the overall result of a presidential election.

Step-by-step explanation:

Answer:

0.15

Step-by-step explanation:

6 divided by 24 equals 0.25

12 divided by 30 equals 0.4

0.4 minus 0.25 is 0.15

$0.15 more per ounce does her conditioner cost than her shampoo.

Given that, the shampoo Eva likes to use costs $6 for a 24-ounce bottle.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

The conditioner she likes to use costs $12 for a 30-ounce bottle.

Cost of shampoo per ounce =Total cost/Number of ounce

= 6/24

= $0.25 per ounce

Cost of conditioner per ounce =Total cost/Number of ounce

= 12/30

= $0.4 per ounce

Difference =0.4-0.25

= $0.15

Therefore, $0.15 more per ounce does her conditioner cost than her shampoo.

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Answer:

y = 2/3x + 4

Step-by-step explanation:

Answer:

The instantaneous velocity of the eagle at the given time is  7.5 m/s.

Step-by-step explanation:

Given;

height of the cliff, h = 125 m

the height at which the eagle is flying, h(t) = 125 + 1.25t²

The velocity of the eagle is given by;

v = dh/dt

v = 2.5t

The instantaneous velocity of the eagle at t = 3 seconds is given by;

v = 2.5(3)

v = 7.5 m/s

Theerefore, the instantaneous velocity of the eagle at t = 3 seconds is  7.5 m/s.

Answer:

slope: 1

y-intercept : (0, -4)

Step-by-step explanation:

hope this helps! :D

Answer:

x-intercept(s): (4,0)

y-intercept(s): (0,-4)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

Answer:

2x+24+4x+36=180

6x+60=180

6x=180-60

6x=120

x=120/6

x=20

So <KPL=64 AND <JPL=116

Answer:

KPL = 64 JPL = 116

Step-by-step explanation:

This is a straight angle, meaning this angle will equal 180 degrees.

They give you two parts of this angle, which is (2x+24) and (4x+36)

All you have to do is add them and set this equal to 180.

So when you add 2x+24+4x+36=180 that equals 6x+60=180

Do the algebra, subtract 60 on both sides.

180-60=120

Now divide 6 on both sides.

120/6 = 20

Great, so now solved x. To find the angles, we must plug them in.

2(20)+24= 64

4(20)+36= 116

So your answer should be

KPL = 64 and JPL = 116.

This is correct because when you add these results together, you get 180.

Answer:

Alternate exterior angles

Answer:

$42.80    check

   x.20     tip

 $8.56

Then add the the total check $42.80 +$8.56 = $51.36 John will spend

Step-by-step explanation:

to find the tip multiply the total by the tip

if 10%  x it by .10

if 16%  x it by .16

if 25 % x it by.25 and so on then add that to the total of the bill

Answer:

See below.

Step-by-step explanation:

Divide to turn the percentage into decimal form.

[tex]\frac{20}{100} =.20[/tex]

Multiply the percentage by the amount.

[tex]42.80*.20=8.56[/tex]

Add them together.

[tex]42.80+8.56=51.36[/tex]

Answer: [tex]51.36[/tex]

:)

Answer:

[tex]\left\{\begin{matrix}3x+4y+8z=36.65\\ 5x+3y+10z=37.50\\ 4x+5y+6z=43.35\end{matrix}\right.[/tex]

Step-by-step explanation:

System of equations

Let's set the following variables:

x=Price of chocolate pumpkins

y=Price of masks

z=Price of candy witches

We'll establish the system of equations needed to know the prices of all the Halloween treats.

Cory bought 3 chocolate pumpkins, 4 masks, and 8 candy witches and he spent $36.65. This leads to the following equation:

[tex]3x+4y+8z=36.65\qquad\qquad [1][/tex]

Josh bought 5 chocolate pumpkins, 3 masks, and 10 candy witches and he spent $37.50. This leads to the following equation:

[tex]5x+3y+10z=37.50\qquad\qquad [2][/tex]

Dan bought 4 chocolate pumpkins, 5 masks, and 6 candy witches and he spent $43.45. This leads to the following equation:

[tex]4x+5y+6z=43.35\qquad\qquad [3][/tex]

Collecting the equations [1] [2] [3], we form the system of equations to represent this problem:

[tex]\left\{\begin{matrix}3x+4y+8z=36.65\\ 5x+3y+10z=37.50\\ 4x+5y+6z=43.35\end{matrix}\right.[/tex]

Answer:

another way to identify the domain and range of functions is by using graphs. because the domain refers to the set of possible input values z the domain of a graph consists of all the input values shown on the x-axis. the range is the set of possible output values, which are shown on the y-axis.

Answer:

A

Step-by-step explanation:

Given

6 ([tex]\frac{x}{2}[/tex] + 4) ≥ 9 ( distribute the parenthesis by 6 )

3x + 24 ≥ 9 ( subtract 24 from both sides )

3x ≥ - 15 ( divide both sides by 3 )

x ≥ - 5 → A

Answer:

A

Step-by-step explanation:

First, divide both sides by 6:

6(x/2 + 4) ≥ 9

x/2 + 4 ≥ 9/6

x/2 + 4 ≥ 3/2

Now, subtract 4 from both sides:

x/2 ≥ 3/2 - 4

x/2 ≥ -5/2

Finally multiply both sides by 2:

x ≥ (-5/2) * 2

x ≥ -5

The answer is thus A.

~ an aesthetics lover

Answer:

x = 10

Step-by-step explanation:

8x + 14 = 6x + 34  (vertically opposite angles are equal)

Rearrange

2x = 20

x = 10

Answer:

x=10

Step-by-step explanation:

So we know that they are equal to each other.

so 6x+34=8x+14

-6x

34=2x+14

-14

20=2x

/2

x=10

Answer:

Step-by-step explanation:

Angle AOB and BOC create a complementary angle. This means when two angles sum up to 90°. We can write an equation for this problem;

(x + 8) + 2x = 90

~Remove parenthesis

x + 8 + 2x = 90

~Combine like terms

3x + 8 = 90

~Subtract 8 to both sides

3x = 82

~Divide 3 to both sides

x = 82/3 or x = 27 1/3

Use what have for x to solve for the angle measures.

Angle AOB:

x + 8

(27 1/3) + 8

35 1/3°

Angle BOC:

2x

2(27 1/3)

54 2/3°

Check.

35 1/3 + 54 2/3 = 90°

Best of Luck!

Answer:

undefined

Step-by-step explanation:

I don't know if it's correct or not. But hope it is

Answer:

-7

Step-by-step explanation:

The slope is y/x and y in this case equals -7 while x is +1 so it's -7/1 or just -7

Answer:

1.75 lbs

Step-by-step explanation:

5.25/ 3 = 1.75

Answer:

Step-by-step explanation:

[tex]\frac{k}{4} + 3 = 14[/tex]

Subtract 3 from both sides

[tex]\frac{k}{4} = 14 - 3 \\\frac{k}{4} = 11[/tex]

Multiply both sides by 4 to find k.

k = 11 x 4 = 44

how to find slope

its not that clear for me to solve but i can tell you how to solve and you fill the numbers in... sry

(x1,y1) (x2,y2) - find two different points

y2-y1/x2-x2=slope of the line

or

to find it you can do the rise divided by the run

im sry if this doesnt help :(

9514 1404 393

Answer:

  -2/3

Step-by-step explanation:

First, you find places where the graphed line crosses grid intersection points. One obvious choice is the point (0, 0), since the line goes through the origin. (Here, we wanted to avoid interference with our notations by the axis labels, so we chose points away from the origin.)

Then, you draw a right triangle with the two points you found as ends of the hypotenuse. Use grid lines for the legs of the triangle. For purposes of "rise" and "run", it is convenient to draw the triangle to the right of the graphed line.

The "rise" is the vertical distance between the grid crossings. In this graph, that is -2 units. The sign is negative because the right-most point is below the left-most point.

The "run" is the horizontal distance between grid crossings. In this graph, that is 3 units. If you have drawn the triangle to the right of the graphed line, that will be +3 units.

So, the slope is the ratio of "rise" to "run":

  m = rise/run = slope = -2/3

Answer:

EFGH

(-1, 1)

(-1, 2)

(2, 2)

(1, 1)

Step-by-step explanation:

if Both rotating in the same way, then EfGH is gonna go the other way. (sorry if its wrong, i'm learning this too)

Answer:

$14

Step-by-step explanation:

Answer:

The correct choices would be A, C, D & F. Correct me if I'm wrong :)

Step-by-step explanation:

1/4 / 2/3

= 1/4÷2/3

= 1/4 ×3/2 ( reciprocal 2/3)

=3/8

this is the answer

Answer:

its answer C 2.1%

Step-by-step explanation:

Answer:

Compound: -2≤X<5

Conjunction: ≤ or <

Step-by-step explanation:

When the dot is filled it is a ≤ or ≥

When the dot isn't filled its a < or >

-4 is on the left and 5 is on the right

Answer:

uhm well I'm not sure what you mean by algorithm but just think it like this :

Step-by-step explanation:

think of 1/4 as a quarter and it says the negative

so -.25

The length of each side of the square garden is 3ft.

A square is a quadrilateral with four equal straight sides and four right angles.

To find the area of a square garden, multiply two equal sides.

The area is the space of a two-dimensional line.

To find the length of each side of a square garden, compute the squared root of the area.

Area of the square garden = 9 ft

Length of each side = √9

= 3 feet

Thus, each side of the garden has 3 ft.

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