When x² is divided by (x – 3), the quotient is 12 and the remainder is 1. Find the
possible values of x

Answer:

Step-by-step explanation:

4/5 - 7/5

7-4/5

3/5

Or

4/5 - 7/5

4-7/5

-3/5

Answer:

Hey There!

Let's solve...

We know that the given line is

[tex]y = 4x + 8 \\ [/tex]

Slope is

[tex]m_{g} = 4 \\ [/tex]

The answer is perpendicular to m which is the negative reciprocal of m_g

[tex]m = - \frac{1}{ m_{g} } = - \frac{1}{4} \\ [/tex]

[tex]y = 2 \\ x = 2(2) = - 1 \\ x = 4 - 1 = 3 \\ x = 3[/tex]

The intersection point is

(3,2)

If we substitute the point into

[tex]y = mx + c \\ y = - \frac{1}{4}x + c \\ [/tex]

Now let's solve y intercept...

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

[tex] = \frac{8}{4} + \frac{3}{4} \\ \\ = \frac{8 + 3}{4} = \frac{11}{4} [/tex]

Now the required lines are

[tex]y = - \frac{1}{4}x + \frac{11}{4} \\ \\ m = - \frac{1}{4} \\ \\ c = \frac{11}{4} [/tex]

Answer:

D

Step-by-step explanation:

Its the biggest one

Answer:

the last one.

Step-by-step explanation:

you can clearly see ab and bc are the same slope, so ab can't be different from ac

Expression of Sayed weekly earnings = 8.50t + (1.5)(8.50)p = 8.50t + 12.75p

where t is the number of hours worked regularly and p is number of hours worked overtime.

Part 1)

Given t = 36 and p = 4,

Gross Weekly earnings = 8.50(36) + 12.75(4)

= 306 + 51

=$357

Part 2)

Given Gross weekly earnings = $420.75 and t=36,

8.50(36) + 12.75p =420.75

306 + 12.75p = 420.75

12.75p = 420.75-306

12.75p = 114.75

p = 114.75÷12.75

p=9

Answer:

406.2

Step-by-step explanation:

Answer:

y = -1

Step-by-step explanation:

Right away, you should notice that the y-coordinate is the same between both points. If it's a straight line (which you can assume), that means it's a horizontal line at y = that y-coord, or y = -1 in this case.

Answer:

[tex]\frac{56}{3}[/tex] or [tex]18\frac{2}{3}[/tex]

Step-by-step explanation:

First:

Divide both sides by 3 (you need to get x by itself)

[tex]\frac{3(x+2)}{3} = \frac{62}{3}[/tex]

Second:

Subtract both sides by 2

[tex]x+2 = \frac{63}3 -2[/tex]

And Finally just simplify

[tex]x = \frac{56}{3}[/tex]

or you can make it into a mixed fraction which is [tex]18\frac{2}{3}[/tex]

(just divide on the calculator)

Step-by-step explanation:

x intercept, y = 0

y = x + 1

0 = x + 1

x = -1

x intercept = (-1 , 0)

y intercept, x = 0

y = x + 1

y = 0 + 1

y = 1

y intercept = (0 , 1)

Answer:

you earned 35 dollars raking leaves.

start with 63.50 and subtract the 44.99.

63.50-44.99=18.51.

then subtract the 53.41 dollars from 18.51 and get 35.

51.41-18.51=35

Answer: $35

Step-by-step explanation:

lets create an equation

x is going to be the amount of money gained by raking leaves

(63.50 + x) - 44.99 = 53.51

now remember, whatever you do to one side, you do to the other side.. oppositely.

so lets add 44.99 to both sides, either side of the equal sign, because the opposite of -44.99 is +44.99

63.50 + x = 98.50

now subtract 63.50 from both sides

x = 35

Answer:

....................

Step-by-step explanation:

Yeah

Answer:

um  what do you mean thxs  for the points

Answer: ANSWER IS B

Step-by-step explanation:

Answer:

The right option will work

Step-by-step explanation:

Pick the right one no this wont help

Answer:

Two

Step-by-step explanation:

Hope this helps!!

Answer:

y=-1/2+3

Step-by-step explanation:

first, we have to determine if the slope is positive or negative. if it is going up to the right, it is positive. if it goes up to the left, it is negative. to find the slope, we need two or three points where the x and y values are both whole numbers. for this, we can use the y-intercept (0,3), (-2,4), and (-4,5). we can look at the line and see that from (0,3) to (-2,4) the line rises 1 and runs -2. this supports the claim that the slope is negative. from (-2,4) to (-4,5), the line rises 1 and runs -2. this is the same as the slope from (0,3) to (-2,4), so we can say that it is the slope of the line. since slope is written as rise over run, we can write the slope as -1/2. for the y-intercept, or b, we have to see what y is when x is 0. y is 3, so the y intercept is 3. in y=mx+b, m=slope and b=y intercept, so we plug these values in and we have the graph in slope intercept form.

Answer:

Slope-intercept form: y = - ½x + 3

Step-by-step explanation:

In the slope-intercept form, y= mx + b:

m = slope

b = y-coordinate of the y-intercept, (0, b). The y-intercept is the point on the graph where it crosses the y-axis. At that given point, the value of x = 0.

Start by choosing two points from the graph that you could use to solve for the slope of the line. I often use the y-intercept as one of the points.

Use the following points: (0, 3) and (6, 0):

Let (x₁, y₁) = (0, 3)   ⇒ This is the y-intercept.

     (x₂, y₂) = (6, 0)  ⇒ This is the x-intercept, the point on the graph where it crosses the x-axis.

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

[tex]m = \frac{0 - 3}{6 - 0} = \frac{-3}{6} = - \frac{1}{2}[/tex]

Hence, the slope of the line is: m = - ½.

As previously mentioned, one of the points we used to solve for the slope is the y-intercept, (0, 3).  Its y-coordinate is the value of b = 3 that you will use for the equation.

Therefore, the linear equation in slope-intercept form is:  y = - ½x + 3.

Answer: D

Step-by-step explanation:

D It says that they are the same distance from the tree so you would use the same length of rope on each side of the tree.

Using the perpendicular bisector theorem, statement D. "The length of ropes between where it is tied to the tree to where it is anchored to the ground is the same for both ropes".

The perpendicular bisector theorem states that any point on the perpendicular bisector is equidistant from both the endpoints of the line segment on which it is drawn.

In this question, there is only one point on the perpendicular bisector which is connected to the line segment on which it is drawn, it is the point on which the rope is tied to the tree. Thus, using perpendicular bisector theorem, the point at which rope is tied to the tree is equidistant to the end points of the line segment on which perpendicular is drawn, which is also the point on the ground from where the ropes are anchored.

This proves that the length of ropes between where it is tied to the tree to where it is anchored to the ground is the same for both ropes.

Learn more about perpendicular bisector theorem here

https://brainly.com/question/4186530

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Answer:

-2/5; -3/5 -0.75332313124567686

Step-by-step explanation:

math

The equation of the given line in the graph is y = x/5

The equation of a straight line is y = mx+c, m is the gradient and c is the height at which the line crosses the y-axis, also known as the y -intercept.

Given is a graph, of a line passing from (0, 0) and (15, 3), we need to find the equation of the line,

We know that, the equation of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:

y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)

Here, the points (x₁, y₁) and (x₂, y₂) are (0, 0) and (15, 3)

Finding the equation,

y-0 = 3-0 / 15-0 (x-0)

y = x/5

Hence, the equation of the given line in the graph is y = x/5

Learn more about equation of a line, click;

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A

Its pretty easy no cap

Answer:

That's quantum mathematics

The daily rent is an illustration of a linear inequality.

The inequality is (d) [tex]\mathbf{340 > 75.77d + 22.75 }[/tex]

The daily charge is given as:

[tex]\mathbf{Daily = 75.77}[/tex]

The rate is:

[tex]\mathbf{Rate = 0.07}[/tex]

Let the number of days be d.

So, the total charges is:

[tex]\mathbf{Total = Daily \times d + Rate \times Miles}[/tex]

This gives

[tex]\mathbf{Total = 75.77 \times d + 0.07\times 325}[/tex]

[tex]\mathbf{Total = 75.77 \times d + 22.75}[/tex]

From the question, we understand that he has at most $340 to spend.

At most means <=

So, we have:

[tex]\mathbf{75.77 \times d + 22.75 \le 340}[/tex]

[tex]\mathbf{75.77d + 22.75 \le 340}[/tex]

Rewrite as:

[tex]\mathbf{340 > 75.77d + 22.75 }[/tex]

Hence, the inequality is (d) [tex]\mathbf{340 > 75.77d + 22.75 }[/tex]

Read more about linear inequalities at:

https://brainly.com/question/11897796

Answer:

An equation of a line is written in the form y=mx+b. ”m” is the slope and “b” is the y-intercept.

Slope: 4

y-intercept: -7 or (0,-7)

:)

Answer:

slope = 4

y-intercept = 7

Answer:

Step-by-step explanation:

ab = 8 * 24

      = 192

Answer:

S

,

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Answer:

=

−

1 Subtract  

4

4

4

from both sides of the equation

Answer:

1st and 2nd Equation; what = 2.25, 3rd Equation; what = 4.44444

Step-by-step explanation:

40/4 / 9/4 = 40/9 = 4.44444

Answer:

It was the "bare legs" that got my attention.  I'm still looking, but will answer the question in the meantime.

c = 8.602

Step-by-step explanation:

The Pythagorean Theorem tells us that [tex]a^{2} + b^{2} = c^{2}[/tex]

a = 5. b = 7, so:

5^{2}  + 7^{2} = c^{2}

25 + 49 = c^{2}

c^{2} = 74

c = 8.602

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

I don't know how to interpret the rest of the post:

"ОА

c=74

OB

c=37

с

c=2137

c=174"

????

I see the bare legs now.  Gotta go.