Examine the linear relationships.

Linear equation A: y=45x
Linear equation B is represented by this graph.


A line that passes through points (0, 2) and (5, 4).

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Which statement is entirely correct?

Equation A has a steeper slope, because 45 is greater than 25.Equation A has a steeper slope, because 4 fifths is greater than

Equation B has a steeper slope, because 45 is greater than 25.Equation B has a steeper slope, because 4 fifths is greater than

Equation A has a steeper slope, because 52 is greater than 45.Equation A has a steeper slope, because 5 halves is greater than

Equation B has a steeper slope, because 52 is greater than 45.

Answers

Answer 1

Using linear functions, it is found that the correct option is:

Equation A has a steeper slope, because [tex]\frac{4}{5}[/tex] is greater than [tex]\frac{2}{5}[/tex].

A linear function has the following format:

[tex]y = ax + b[/tex]

In which:

a is the slope, which is the rate of change.The higher the slope, the steeper the function is:

Linear equation A is given by:

[tex]y = \frac{4}{5}x[/tex]

Linear equation B passes through points (0, 2) and (5, 4). Since the slope between two points is given by change in y divided by change in x, we have that:

[tex]m = \frac{4 - 2}{5 - 0} = \frac{2}{5}[/tex]

Equation A has a higher slope, hence, it is steeper, and the correct option is:

Equation A has a steeper slope, because [tex]\frac{4}{5}[/tex] is greater than [tex]\frac{2}{5}[/tex].

A similar problem is given at https://brainly.com/question/20386726


Related Questions

i have to make an equation for example

Answers

Answer:

Both of them are Non-Proportional since none are touching 0. I'm not sure if you're looking for Proportionality.

Write 2549 correct to the nearest 10​

Answers

Answer:

2550

Step-by-step explanation:

Can you please help me I need to pass for my basketball game Tuesday please help if I don’t pass i can’t play !!

Answers

Answer:

x = 17

Step-by-step explanation:

The two given angles are supplementary angles, but also all angles on a straight light must add up to 180°:

3x + 14 + 7x - 4 = 180

Add like terms

3x + 7x + 14 - 4 = 180

10x + 10 = 180

Subtract 10 from both sides to isolate 10x:

10x + 10 - 10 = 180 - 10

10x = 170

Divide both sides by 10:

10x ÷ 10 = 170 ÷ 10

x = 17

Hope this helps!

Bob eats 1/3 of a watermelon one day and 3/8 of it the next day.
a) which day did bob ate more watermelon, first or second?

b) Find the fraction of the watermelon that remains.

Answers

Answer:

A) Second, as 3/8 is larger than 1/3.

B) 7/24

Step-by-step explanation:

3/8 put as a decimal is 0.375. 1/3 is 0.3333 which means that 3/8 is greater than 1/3.

9/24 is another way to write 3/8. 8/24 is another way to write 1/3. 9 + 8 is 17. 17/24 has been eaten. Therefore, 7/24 remains.

Translate the sentence into an inequality.
Twice the difference of a number and 7 is at most 30.
Use the variable w for the unknown number.

Answers

Answer:

[tex]2(w-7) < 30[/tex]

Step-by-step explanation:

Twice is translate as multiply by 2The different is the subtraction between [tex]w[/tex] and 7at most 30 is equal to say that can't be greater than 30

Combine each step give us the next expression: [tex]2(w-7) < 30[/tex]

Answer:

2w+14<(with the line under the <)30

Step-by-step explanation:

1 (a) The price of a newspaper increased from $0.97 to $1.13 Calculate the percentage increase.​

Answers

Answer:

16.49%

Step-by-step explanation:

0.97+16.49%=1.129953

The percentage increase is 16.49%

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100)

We are given that the price of a newspaper increased from $0.97 to $1.13

WE need to find the percentage increase.​

Therefore,

Intital price = 0.97 ( 1.13 - 0.07)

= 0.16 / 0.97 x 100

= 16/0.97

= 16.49

0.97+16.49%  = 1.129953

Learn more about percent here:

https://brainly.com/question/11549320

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Rewrite 4/6 and 1/3 as a unite rate

Answers

Answer: B

Step-by-step explanation: Hope this helps :)

What is the value of x?

Answers

Answer:

sine 60 = x / 8

(8 * 0.86603) = x

x = 6.92824

Step-by-step explanation:

$360 is shared among hannah , Ryan and Kelly in ratio 2:3:5 . how much less will hannah receive than kelly?​

Answers

Answer:

$108 less

Step-by-step explanation:

2 + 3 + 5 = 10 parts

each part is 360/10 = $36

Hanna has 5 - 2 = 3 parts less than Kelly

3 * 36 = 108

$108 less

express \sqrt{3} - \frac{2}{\sqrt{3} } [tex]\sqrt{3} - \frac{2}{\sqrt{3} }[/tex]

Answers

[tex]\sqrt{3} - \frac{2}{\sqrt{3} } = \frac{3}{\sqrt{3} } - \frac{2}{\sqrt{3} } = \frac{1}{\sqrt{3} } = \frac{\sqrt{3} }{3}[/tex]

ok done. thank to me :>

Over the summer, Jarrod did online tutoring with kids. He was paid a total of $342.30 for 42 hours of tutoring. What was his hourly rate of pay?

Answers

Answer:

His hourly rate is $8.15.

Step-by-step explanation:

The hourly rate is how much he earns in one hour. We know how much he earns in 42 hours ($342.3).

So what we need to do is to divide that amount ($342.3) by 42.

And we get $8.15.

Find an equation of the line that passes through the points (-2, 1) and (3, 3). Write your equation in either point-slope form, standard form, or slope-intercept form.

Answers

(-2,1)(3,3)

m=3-1/3+2=2/5

Equation of line in point slope. form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y-1=2/5(x-(-2))[/tex]

[tex]\\ \sf\longmapsto y-1=2/5(x+2)[/tex]

[tex]\\ \sf\longmapsto 5y-5=2x+4[/tex]

[tex]\\ \sf\longmapsto 2x-5y+9=0[/tex]

The equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).

What is the slope of the line?

The slope of a line is defined as the angle of the line.

Given that line passes through the points (-2, 1) and (3, 3)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -2, y₁ = 1

x₂ = 3, y₂ = 3

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 1 = (3 - 1)/(3-(-2))[x -(-2)]

⇒ y - 1 = (2)/(5)[x+2]

⇒ y - 1 = 2/5(x -3)

⇒ y = (2/5)x - 6/5 + 1

⇒ y = (2/5)x - 1/5

Therefore, the equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).

Learn more about the Lines here:

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F) A wall in a house is currently 12 feet long and a contractor wants to add 108 inches to the wall. How long will the
extended wall be in yards?

(A) 5yards

(B) 7yards

(C) 8yards

(D) 10yards

(E) 17yards

Answers

B 108 = 3 12=4 since the technical answer is 7 yards

Alex borrowed 12.50 from his friend. He paid him back 8.75. How much does he still owe?

Answers

Answer:

3.75

Step-by-step explanation:

If Alex borrowed 12.50 and paid him back only 8.75, that means he still owes him 3.75. 12.50 - 8.75 = 3.75

8m - 8 - 8 = 16
equation

Answers

Answer:

8m-16 =16

8m=16+16

8m =32

m=32/8

m=4

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE AN AWESOME DAY

what is the slope of the line

Answers

Answer:

1.5 OR 3/2

Step-by-step explanation:

Slope (m) = ΔY/ΔX= 3/2=1.5

θ = arctan(ΔY/Δx)= 56.30993247402°

ΔX = 3 – 1 = 2

ΔY = 0 – -3 = 3

Distance (d) = √ΔX2 + ΔY2 = √13 = 3.605551275464

Equation of the line:

y = 1.5x – 4.5

or

y=3/2x-9/2

Thus, 3/2

Answer:

m = 1.5

Step-by-step explanation:

Use the coordinates of two points on the graph:

(1, -3), (3, 0)

Find the slope using slope formula:

m = (y₂ - y₁)/(x₂ - x₁)m = (0 - (-3))/(3 - 1) = 3/2 = 1.5

Can some one help in thsi with the steps required

Answers

Answer: 24.5 m² ( area)

Step-by-step explanation:

See , Total area of wall is given - length , 6m - width/breadth , 5m

          so , Area of total wall = l x b = 6*5 = 30m²

so , there is a window whose length is 2 meters and breadth/width of 0.5m

         so , Area of window = l x b = 1m²

So , area of door  = length , 3 - Width/breadth- 0.5 m²

        So , Area of door = 3* 1.5 = 4.5

Then the question wants us to find the area of the wall without counting window and door . So we can subtract the area of door and window from the area of the whole wall to get the area of the wall without the window and door .

= total area of wall - area of window and door

30m²-1m²-4.5

So as a result , we get a total area of the wall without the window and door to be painted as  24.5m²

Tell whether the given value is a solution of the inequality.

Answers

Answer:

Step-by-step explanation:

8p < -3

  if p = -2

8* -2 < -3

  -16 < -3 TRUE so p= -2 is a solution to the inequality 8p < -3

I need these answers

Answers

Answer:

1) x = 14.14

2) 2

Step-by-step explanation:

1) sin(45°) = x/20

sin(45°) · 20 = x

x = 14.14

2) Since PST are double the size of PQR it would just be a scale factor of 2

A single basket basketball match will be organized by forming 3 teams in equal numbers from a group of 9 students. In how many ways can these three teams be formed?

Answers

~combination

[tex] \large \sf C(n,r) = \frac{n!}{(n-r)! .r!} [/tex]

[tex] \large \sf = C(9,3) = \frac{9!}{(9-3)!.3!} [/tex]

[tex] \large \sf = \frac{9!}{6!.3!} [/tex]

[tex] \large \sf= \frac{(9.8.7.6.5.4.3.2.1)}{(6.5.4.3.2.1).(3.2.1)} [/tex]

[tex] \large \sf = \frac{362880}{720.6} [/tex]

[tex] \large \sf = \frac{362880}{4320} [/tex]

[tex] \large \sf = \boxed{84}\: ✓[/tex]

~ nice to help you ^^

Solve for h.
h - 6 =
=
7

Answers

Answer:

h = 13

Step-by-step explanation:

Solve for h.

h - 6 =  7

h = 7 + 6

h = 13

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

check

13 - 6 = 7

7 = 7

the answer is good

So, this one is pretty easy. Since h-6=7, you just add 6 and 7 and subtract 6 to find the answer, like this.

6+7=13

13-6=7

and h=13

Easy, huh?

60
Compare
a 15% of 17 and 17% of 15
b
1.2% of 48 and 12% of 480
с
147% of 621 and 125% of 549
80% of a and 40% of 2a
f
36% of 2.5b and 1.5% of 80b

Answers

Answer:

a=2.55

b=0.576

c=912.87

f=2.295

Step-by-step explanation:

=15/100*17

=2.55

=17/100*15

=2.55

=1.2/100*48

=0.576

=12/100*480

=57.6

=147/100*621

=912.87

=125/100*549

=686.25

=80/100*2.55

=2.04

=40/100*2a

=40/100*(2*2.55)

=0.4*(5.1)

=2.04

=36/100*2.5(2.55)

=0.36*6.375

=2.295

=1.5/100*80(2.55)

=0.015*(204)

=3.06

4x squared plus 20x minus 24 pls

Answers

The Answer will equal 4(x-1)(x-6)

Step by step explanation= 4x^2+20x-24, 16x+20x-24, 36x-24= 12x

Answer:

4(x-1) (x-6) as an evaluation OR 12x as the answer since you didn't include what it equals.

Step-by-step explanation:

4x^2+20x-24

16x+20x-24

36x-24

12x

[tex]\frac{7}{10} - \frac{2}{5}[/tex]

Answers

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

First, we need to make the denominators the same.

[tex]\frac{7}{10} -\frac{2}{5} =\frac{7}{10} -\frac{2*2}{5*2}=\frac{7}{10} -\frac{4}{10}[/tex]

Then, we subtract the numerator.

[tex]\frac{7}{10} -\frac{4}{10} =\frac{3}{10}[/tex]

Find the LCD (lowest common denominator) of 10 and 5.
LCD of 10 and 5 is 10.
5 x 2 = 10 so, 2 x 2 = 4 because whatever you do to the denominator, you do to the numerator.
7/10 - 4/10 = 3/10

The graph of a function f is shown below.
Find f (2)

Answers

Answer:  f(2) is 3.

Step-by-step explanation:

f(2) just means "what is the vale of the function, f, when x = 2?  Look for x=2 and read the y value where the line crosses x=2, in this case, the y value is 3.  So f(2) = 3.

======

[One could also determine the equation for the line.  Provided below.]  

The slope is -(1/2) and the y-intercept is 4:

y = -(1/2)x + 4

For x=2,

y = -(1/2)*(2) + 4

y = 3  

y(2) = 3  

Please help me I do not understand what to do or what the answer is.

Answers

Answer:

the slope is

2/3x+2

Hope This Helps!!!

The slope of the line is 1/2

F(4p + 3) = 8 - 5(4p + 3)

Answers

EQUATION

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

[tex]\large\bold{Equation:}[/tex]

[tex]\large\sf{F(4p + 3) = 8 - 5(4p + 3)}[/tex]

[tex]\large\bold{Solution:}[/tex]

Let's solve for f

[tex]\large\sf{F(4p + 3) = 8 - 5(4p + 3)}[/tex]

1st step: Factor out variable f

[tex]\large\sf{F(4p+3)=−20p−7}[/tex]

2nd step: Divide both sides by 4p+3

[tex]\large\sf{ \frac{F(4p + 3)}{4p + 3} = \frac{ - 20p - 7}{4p + 3} }[/tex]

[tex]\large\sf{F = \frac{ - 20p - 7}{4p + 3} }[/tex]

[tex]\large\bold{Answer:}[/tex]

[tex]\large\tt{F = \frac{ - 20p - 7}{4p + 3} }[/tex]

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

How is it? Hope you appreciate and understand my answer. Have a great and nice day ahead!!

^^

What is a reasonable estimate for the subtraction equation 3.2 − 1.4 = ________ when you round each number to the nearest whole number? (2 points)
1
1.5
2
2.5

Answers

Answer:

Hello!

After reviewing the question you have provided, I came up with the correct answer:

C) 2

Step-by-step explanation:

Firstly:

As the question states, you need to round each number to the nearest whole number and then choose the closest estimate to what the nearest solution could be.

When you round the two numbers you should come up with "3-1= ____".

This is because you round up with a number has .5 or higher, and you round down when any number has .4 or lower.

So 3.2 rounds to 3

And 1.4 rounds to 1.

With the new equation you can then solve "3-1= 2"!

Hope this helps!

BRAINLIEST
Can you help me finish these

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the perimeter. Simplify your answer.

Answers

(7b + 1) + (7b + 1) + 10b
2(7b + 1) + 10b
14b + 2 + 10b
24b + 2
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