The table shows a proportional relationship between x and y. x 1 2 3 y 3 6 9 The proportionality constant (y to x) is .

Answer:

y=3x-8

Step-by-step explanation:

Slope -intercept form is y=mx+b.

M represents the slope; b represents the y-intercept.

First, let's find the y-intercept.

It'll be found on the y-axis on the graph.

If you go down the y-axis, you'll see that -8 is the only point to be directly on the y-axis, so we can assume that that's the y-intercept.

Thus, the B in the equation is -8.

Now, let's find the slope.

You can think of it as rise over run. The rise is how many numbers the y-intercept either goes up or down until it can cross over to the x-axis. Crossing sideways is the run that's located on the x-axis.

You can begin from -8 and either count downward or upward.

For the sake of this graph, we'll go upward.

Do you see the dot on the coordinate (1,-5)?

Count upward and go to the side to get to that coordinate.

I count three upward and one to the right.

So as a fraction that would be 3 over 1 or 3/1.

But you can simplify that to just 3.

Thus, the M in the equation is 3.

Hence, y=3x-8.

Hope this helps.

The value of the lesser integer is 5

From the information given, we have the following deductions;

The expression can be represented as;

8(x + 1) - x = 43

expand the bracket, we have;

8x + 8 - x = 43

collect like terms

8x - x = 43 - 8

Subtract like terms

7x = 35

Make 'x the subject of formula

Divide both sides by 7

7x /7 = 35/7

x = 5

The lesser integer is x = 5

Thus, the value of the lesser integer is 5

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Answer:

6 units

Step-by-step explanation:
To find out how far apart two points are on a graph, we must count the spaces that separate them along the x and y axis

Counting on the x-axis, Point A is 2 units to the left of Point B

On the y-axis, Point A is 4 units below Point B.

Add the two to get the total units

We can conclude that 10 percentage of the students voted for yellow.

Total number of students = 738 + 82 = 820

As we can notice that total number is 820 and the number of students that voted for yellow is 82.

So, 82/820 = 10%

Therefore, we can conclude that 10 percentage of students voted for yellow.

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Answer:

here's the answer

Step-by-step explanation:

the total calls are 39 call

the remaining calls are 1530

the remaining rounds are 481

481+39=520

520x3= 1560

Answer: look at the screenshot

Considering point Q (x, y) to be (1, 2), and translating it by (x-3, y+4), the image of point Q, say Q' will be positioned at (-2, 6), which is plotted in the reference image attached hereby.

As per the question statement, we are required to plot the image of point Q(x, y) under the translation (x-3, y+4).

Let us assume the point Q to be (1, 2). Therefore, a translation of (x-3, y+4) on (1 , 2) will result in a new position, which will be:

3 units to the left of (1, 2) along the x-axis, and then 4 units upwards along y-axis.

Hence, the position of the image of Q (1, 2) after a translation of (x-3, y+4) will be Q' [tex][(1-3), (2+4)]=(-2, 6)[/tex].

Both the points Q(1, 2) and its image after the translation of (x-3, y+4), Q'(-2, 6) are plotted in two separate graphs, attached hereby for reference.

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Answer:

An exponent is a power to a given number that will multiply the given number by itself the number of times the exponent's value represents. Exponents are represented by small, floating numbers that go after the given value in an equation.

Example A:

[tex]5^2 = 5 \times 5 = 25[/tex]

Example B:

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

Answer: the time taken by train to cover 50km per hour is equal to the time taken by it to cover the distance of 250km for 5 hours

Step-by-step explanation:

You divide then together

The coordinate of the midpoint of the segment with the given endpoints is (-1, 0)

The midpoint of a line is the point that divides the line into two equal parts.

The formula for calculating the midpoint is expressed as;

M(x, y) = (x₁+x₂/2, y₁+y₂/2)

Using the coordinate points (-6, 0) and (-4, 0)

M(x, y) = -6+(-4)/2

M(x, y) = -2/2

M(x, y) =-1

Hence the coordinate of the midpoint of the segment with the given endpoints is (-1, 0)

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Answer:-150

Step-by-step explanation:

Step 1: Solve all the integers.

−115-35

Step 2: Add the numbers and keep the negative sign.

-150

Hope this helps!!

P.S: It as a fraction is the same thing as it being in decimal from lol.

Answer:

linear

Step-by-step explanation:

y is always 1 behind x

Answer:

x=18

Step-by-step explanation:

it is a proportion

8:12=x:27

you have to multiply the know external terms(8 and 27) and divide them by the 12

Answer:

"Zero and its operation are first defined by [Hindu astronomer and mathematician] Brahmagupta in 628," said Gobets. He developed a symbol for zero: a dot underneath numbers.

Answer: 3.5

Step-by-step explanation:

A = 2, B = 7, C = 6

(7a + b)/c

=(7(2)+7)/(6)

=(14+7)/6

=21/6

=3.5

Answer:

15.6 units (3 s.f.)

Step-by-step explanation:

The distance between 2 points is given by the formula below, where [tex](x_1, y_1)[/tex] is the first coordinate and [tex](x_2, y_2)[/tex] is the second coordinate.

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

Using the distance formula above,

distance between A(-3, 1) and B(7, 13)

= [tex]\sqrt{(13-1)^{2} + [7-(-3)]^{2} } }}[/tex]

= [tex]\sqrt{12^2+(7+3)^2}[/tex]

= [tex]\sqrt{244}[/tex]

= 15.6 units (3 s.f.)

Additional:

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Answer:

M is (-5,6)

N is (1,0)

P is (-4,2)

Step-by-step explanation:

We have to move all our coordinates in the same position and distance so we add and subtract the x and y values

M (-6,1) we add 1 to the x value and add 5 to the y value

M (-6+1,1+5)

So M prime is (-5,6 and we do that for the rest

Answer:

Here, I might have messed up one part , I think ;-;

Step-by-step explanation:

Answer:

62-4=58

April is 58 much warmer than December and 62 is the farthest from 0

Answer:

I Can only tell you the temperature part, sorry...

Step-by-step explanation:

Basically 62 is actually farther away, and essay writers stink

I'm a bumblebee who likes to eat KFC - Ash the Fox

Answer:

4725 Students

Step-by-step explanation:

First, multiply 4500 by 0.05 (which is 5% in decimal format.) You should get 225. Next, add 225 to the original value of 4500; you should get the answer, which is 4725 :)

Answer:

4725 Students

Step-by-step explanation:

To find the total enrollment of the community college this year, all we have to do is add the previous year's enrollment to 5% of the same value.

So...

Previous enrollment: 4500

5% of Previous enrollment = 0.05 * 4500 = 225

This year's enrollment = 4500 + 225 = 4725

So the final answer is 4725 students.

In the following ways we can break up the real numbers into the two disjoint subsets.

According to the given question.

We have to break the set of real numbers into two disjoint sets.

As we know that, two sets are said to be disjoint sets if they have no elements in common.

Therefore, in the following ways we can break up the real numbers into the two disjoint subsets.

The set of real numbers equal to zero and the set of other real numbers.

The set of natural numbers greater than 50 and the others. The set of real numbers whose absolute value is less than one, and the others. The set of real numbers whose square is less than 25 and others.

Like that we can break the set of real numbers into two disjoint subsets.

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Answer:

connect the last point to the first point to complete the question

translate the figure in part

translate the figure in part 3 units horizontal y and 6 units vertically

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The root of 27 would be 5.196

Step-by-step explanation:

All of the coordinates in the attached screenshot are in the second quadrant.

Answer:

4x^2−5x+11

Step-by-step explanation:

combine like terms

Answer:

14 1/2 fruits

Step-by-step explanation:

The equation for Rhett's Situation is 70x + 50 = 250 and the equation for Scarlett's Situation is 70x + 35 = 250. In Rhett's case equation their is no expense per car wash but in case of Scarlett' equation their is expense of $5 per car wash.

Total amount earned by Rhett = $250  

Let the number of cars Rhett washed = x

Rhett charges $70 per car and earned $50 in tips. So, we can write

Total amount earned by Rhett = 70x + 50

On comparing total amount earned by Rhett, we get

70x + 50 = 250

The equation for Rhett's Situation is 70x + 50 = 250.

Total amount earned by Scarlett = $250  

Let the number of cars  Scarlett washed = x

Scarlett charges $75 per car wash and earned $35 in tips but also had to pay $5. 00 in cleaning supplies per car wash.. So, we can write

Total amount earned by Scarlett = 75x + 35 - 5x = 70x +35

On comparing total amount earned by Scarlett, we get

70x + 35 = 250

The equation for Scarlett's Situation is 70x + 35 = 250.

In Rhett's case equation their is no expense per car wash but in case of Scarlett' equation their is expense of $5 per car wash.

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Answer:

(a)  3.5

(b)  x = 4

(c)  -¹/₂

(d)  -¹/₂

Step-by-step explanation:

f(1) is the value of y when x = 1.

To find the value of y from a given value of x, find the position of x on the x-axis, then trace vertically until you meet the line. Once you meet the line, trace horizontally to the y-axis to find the corresponding value of y.

Therefore, f(1) = 3.5.

To solve f(x) = 2, find the value of x when y = 2.

To find the value of x from a given value of y, find the position of y on the y-axis, then trace horizontally until you meet the line. Once you meet the line, trace vertically to the x-axis to find the corresponding value of x.

Therefore, the solution of f(x) = 2 is x = 4.

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Given interval:  2 ≤ x ≤ 4

Therefore:

[tex]\implies \dfrac{f(4)-f(2)}{4-2}=\dfrac{2-3}{4-2}=-\dfrac{1}{2}[/tex]

The average rate of change between any interval of the given function will be the same as the graph is linear.  Therefore, the average rate of change from 0 to 8 is the same as the rate found in part (c):  -¹/₂.

Proof

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Given interval:  0 ≤ x ≤ 8

Therefore:

[tex]\implies \dfrac{f(8)-f(0)}{8-0}=\dfrac{0-4}{8-0}=-\dfrac{4}{8}=-\dfrac{1}{2}[/tex]

Answer:

3 cans of tomato paste and 6 should be correct

Answer:

3/25

Step-by-step explanation:

0.12 multiplied by 100 equals 12

which means 12/100 is 0.12

now simplify

6/50

3/25