Which equation has a greater rate of change than the linear function in the table?
х
-5
-3
у
-18
-8
1
12
3
22
A
y = 5х – 3
B
y = -4x – 18
С
y = -3.2 + 2
D
y = 6x + 13

Focus on the values in red outside the table (on the left and right sides). As the output increases by 4, the input increases by 1. This leads to the slope being rise/run = 4/1 = 4. The slope is the number just to the left of the x variable. So that's how they ended up with the equation y = 4x.

You can think of it as y = 4x+0, and note how it's in the form y = mx+b

m = 4 = slope

b = 0 = y intercept

The y intercept is the value of y when x = 0.

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Now because x = 0 and y = 0 pair up together, we can find the slope a different way: Pick any row other than the first row. Divide the y value over its paired x value. So let's say we pick on row two and we'd get a slope of y/x = 4/1 = 4.

Or we could pick on row three and get y/x = 8/2 = 4.

Picking on the fourth row gets us the slope to be y/x = 12/3 = 4. We end up with the same slope value each time. Again, this trick only works if (x,y) = (0,0) is on the line. Otherwise, you'll need to use the first method or use the slope formula.

For equations like this, we consider them a direct proportion. As x increases, so does y. As x increases by 1, y increases by 4. This is the same throughout the table.

----------

A real world example of this could be that x represents the number of sodas you buy, and if each soda is $4, then y = 4x represents the total cost of buying x number of sodas.

For instance, if you bought x = 10 sodas, then y = 4*x = 4*10 = 40 dollars is what you spend overall.

Answer:

20$

Step-by-step explanation:

20percentage of 40=1/5×40

=8

Tony spent=8×$2.50=20

Answer: Paul

Step-by-step explanation: Paul is correct because Joe isn’t.

0.052= 5.2% not 52%

Jo is correct in saying that that number is less than 52%.

Answer:

21.8

Step-by-step explanation:

The distance for the side of the house will the ladder reach now should be considered as the 21.8 ft.

Since first we have to determine BC i.e.

[tex]= \sqrt{50^2 - 30^2} \\\\= \sqrt{1600}[/tex]

=  40 ft

Now

In the case when Alonso grabs the ladder at its base and pulls it 5 feet farther from the house

So,

[tex]= \sqrt{(50)^2 - (45)^2} \\\\= \sqrt{475} \\\\= 5 \sqrt 19[/tex]

= 21.8 ft.

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Answer:

Simple interest:

Compound interest:

Sum of the balances:

The expression is equivalent to the 1/4 (12 -3x) is 3 - 3/4x.

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.

We have the Expression

1/4 (12 - 3x)

Now, using Distributive Property we get

a x (b+ c) = a x b + a x c

Then, 1/4 (12 - 3x)

= 1/4(12) - 1/4 (3x)

= 3 - 3/4x

Thus, the required expression is 3 - 3/4x.

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Answer:

10 x 5 = 50 10 x 3= 30 So we could write this as 50 + 30 can be our expression in 2 number

Answer:

Step-by-step explanation:

 D

Answer:

a

Step-by-step explanation:

unshaded circle is for more than or less than

Answer:

55°

Step-by-step explanation:

Angles x and 125° are linear pair,

So,

x + 125° = 180°

x = ( 180 - 125 )°

x = 55°

Answer:

Area = 12 square units

Step-by-step explanation:

Area = b x h x 1/2

Area = 8 x 3 x 1/2

Area = 24 x 1/2

Area = 12

Hope that helps! :)

Answer:

12 is the area . ihshssisjjss

Answer: No

Step-by-step explanation:

Points inserted are

[tex](1\ \frac{1}{2},4), (2,4), (5,4)\\[/tex]

As all the points have the same y-coordinate, therefore, they must lie on the same horizontal line of [tex]y=4[/tex]

So, the ingested points are not correct.

Points maybe [tex](1,2), (1, 3), (1,3\ \frac{1}{2})[/tex] as they line on the same vertical line.

Answer: 2.25 or 2 1/4 or 9/4

y2 - y1 / x2 - x1

5 - (-4) / 3 - (-1)

9/4

2 1/4

Answer:

A. -1

Step-by-step explanation:

To find the slope, subtract the x-coordinates, subtract the y-coordinates, lastly, divide the differences.

(3,1) (4,0)

3 - 4 = -1

1 - 0 = 1

-1 ÷ 1 = -1

-1 is the slope.

Answer: 90 mm cubed

Step-by-step explanation:

Formula = (L*W*H) / 2

5 * 12 * 3 = 60 * 3 = 180

180 / 2 = 90

Given:

The line passing through (-2,5) and (2,p) has a gradient of [tex]-\dfrac{1}{2}[/tex].

To find:

The value of p.

Solution:

If a line passes through two points, then the slope of the line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The line passing through (-2,5) and (2,p). So, the slope of the line is:

[tex]m=\dfrac{p-5}{2-(-2)}[/tex]

[tex]m=\dfrac{p-5}{2+2}[/tex]

[tex]m=\dfrac{p-5}{4}[/tex]

It is given that the gradient or slope of the line is [tex]-\dfrac{1}{2}[/tex].

[tex]\dfrac{p-5}{4}=-\dfrac{1}{2}[/tex]

On cross multiplication, we get

[tex]2(p-5)=-4(1)[/tex]

[tex]2p-10=-4[/tex]

[tex]2p=-4+10[/tex]

[tex]2p=6[/tex]

Divide both sides by 2.

[tex]p=3[/tex]

Therefore, the value of p is 3.

Answer:

See Explanation

Step-by-step explanation:

Given

Base Dimension

[tex]Length = 4\frac{1}{4}yd[/tex]

[tex]Width = 1\frac{2}{3}yd[/tex]

Required

The base area of all containers

First, calculate the base area of 1 container.

This is calculated as:

[tex]Area = Length * Width[/tex]

[tex]Area = 4\frac{1}{4}yd * 1\frac{2}{3}yd[/tex]

Express as improper fraction

[tex]Area = \frac{17}{4}yd * \frac{5}{3}yd[/tex]

So, we have:

[tex]Area = \frac{17*5}{4*3}yd^2[/tex]

[tex]Area = \frac{85}{12}yd^2[/tex]

The number of containers is not given. So, I will use 'n' as the number of containers.

So, we have:

[tex]Total = n * Area[/tex]

[tex]Total= n * \frac{85}{12}yd^2[/tex]

--------------------------------------------------------------------------------------------

Assume n is 3 (i.e. 3 containers)

The total area is:

[tex]Total= 3 * \frac{85}{12}yd^2[/tex]

[tex]Total= \frac{85}{4}yd^2[/tex]

[tex]Total= 21\frac{1}{4}yd^2[/tex]

--------------------------------------------------------------------------------------------

Answer:

I believe that the answer is 'C. 9d+2c+3t'.

Step-by-step explanation:

I hope this was helpful, have a blessed day.

Answer:

number 4-

X=11.207

Step-by-step explanation: Caculate the angle of B first. B=105

Then find side a and b

Answer:

mean is 19

Step-by-step explanation:

sorry that's all I know

Answer:

1 ladrillo cuesta 1 dólar.    1 brick costs 1 dollars.

1 kg de cemento cuesta 3 dólares: 1 kg cement costs 3 dollars

1 kg de arena cuesta $ 16: 1 kg sand costs $ 16

Step-by-step explanation:

Spanish

Deje que los ladrillos, la arena y el cemento se denoten por b, sy c. Luego, de acuerdo con la condición dada

20b + 5s + 10c = $ 130 --- ecuación 1

1c = 3b ------ ecuación 2

1s = 4c + 4b ------ ecuación 3

Poniendo la ecuación 2 en la ecuación 3

1s = 4 (3b) + 4b

1s = 16b ---------- ecuación 4

20b + 5s + 10 (3b) = $ 130

50b + 5s = 130 --- ecuación 5

Poniendo la ecuación 4 en la ecuación 5

50 b + 5 (16b) = 130

50 b + 80b = 130

130 b = 130

b = 130/130 = $ 1 ------- ecuación a

1 ladrillo cuesta 1 dólar.

Poner el valor de costo de 1 ladrillo en estas ecuaciones

1c = 3b ------ ecuación 2

1s = 4c + 4b ------ ecuación 3

1c = 3 (1) = $ 3 -------- ecuación b

1 kg de cemento cuesta 3 dólares

1s = 4c + 4b

1 s = 4 (3) + 4 (1)

1 s = 12 + 4

1s = $ 16 ------ ecuación c

1 kg de arena cuesta $ 16

Poner valores de la ecuación a, b, c en la ecuación 1

20b + 5s + 10c = $ 130

20 (1) + 5 (16) + 10 (3) = 130

20 + 80 + 30 = 130

130 = 130 ------------ por lo tanto probado

English

Let the bricks , sand and cement be denoted by b, s and c. Then according to the given condition

20b+ 5s+ 10c= $130--- equation 1

1c= 3b------ equation 2

1s= 4c+4b------ equation 3

Putting equation 2 in equation 3

1s= 4(3b) + 4b

1s= 16b---------- equation 4

20b+ 5s+ 10(3b)= $130

50b + 5s= 130--- equation 5

Putting equation 4 in equation 5

50 b + 5 (16b) = 130

50 b+ 80b= 130

130 b= 130

b= 130/130= $1------- equation a

1 brick costs 1 dollars.

Putting the cost value of 1 brick in these equations

1c= 3b------ equation 2

1s= 4c+4b------ equation 3

1c= 3(1)= $3-------- equation b

1 kg cement costs 3 dollars

1s= 4c+4b

1s= 4(3) + 4(1)

1s= 12+4

1s= $16 ------ equation c

1 kg sand costs $ 16

Putting values from equation a, b, c in equation 1

20b+ 5s+ 10c= $130

20 (1) + 5 (16) + 10 (3)= 130

20 + 80 + 30 = 130

130 = 130   ------------ hence proved

Answer:

7x^6 + 4

Step-by-step explanation:

Answer:

2

Explanation:

Degree 4 is the term with the exponent that is 4. The 2 in front of the x is the coefficient.

Answer:

5. the given ordered pair is not a solution 6. the given ordered pair is a solution 7. the given ordered pair is a solution

Step-by-step explanation:

5. 8 = -4(-2) => 8 = 8 (true)

8 = 1/2(-2) + 7 => 8 ≠ 6 (false)

the given ordered pair is not a solution

6. 3 + 5(1) = 8 => 8 = 8 (true)

4(3) - 5(1) = 7 => 7 = 7 (true)

the given ordered pair is a solution

7. -5 = 4 - 9 => -5 = -5 (true)

4 + (-5) = -1 => -1 = -1 (true)

the given ordered pair is a solution

Answer:

No ;

Step-by-step explanation:

Given ;

s2 = 10 ; n2 = 10 ; s1 = 12 ; n1 = 12

Hypothesis :

H0 : σ1² = σ2²

H1 : σ1² ≠ σ2²

The test statistic :

Ftest = s1² / s2² = 12² / 10² = 144 / 100 = 1.44

The Pvalue using the Pvalue from Ftest calculator :

Numerator df = 12 - 1 = 11

Denominator df = 10 - 1 = 9

Pvalue = 0.2969

At α = 0.1

If Pvalue > α ; Fail to reject H0

0.2969 > 0.1 ; Hence, we fail to reject the Null

Hence, we cannot conclude that variation exists

The decimal is a repeating decimal, and the actual fraction represented by 0.64⁻ is 64/99

The decimal number is given as:

0.64⁻

There are two numbers after the decimal point

So, the number of repeating digits is 2

In (a), we have the number of repeating digits to be 2.

So, the value multiplied on both sides is:

Value = 10²

Value = 100

Hence, the value multiplied on both sides of the equals sign is 100

The number is the decimal points is 64.

And the value multiplied on both sides of the equals sign is 100.

So, the fraction is:

64/(100 - 1)

This gives

64/99

Hence, the actual fraction represented by 0.64⁻ is 64/99

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Answer:

2, 100, 64/99

Step-by-step explanation:

Answer:

1,296 FT2

Step-by-step explanation:

Answer:

i tried every way possible and none of the have the same answer as the solutions i made BUT, all of my answer were the closest to 216 so i would guess that one

Step-by-step explanation:

Sorry if i was wrong, i tried my best but i didnt get any of those answers