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

Complete the following proof. Given: (BD) is the perpendicular bisector of (AC) Prove: ∢A≅∢C
Statement Reason
1. (BD) is the perpendicular bisector of (AC) 1. Given
2. Point B is the midpoint of (AC) 2. Definition of perpendicular bisector
3. 3. Definition of midpoint
4. ∢ABD and ∢CBD are right angles 4. Definition of perpendicular bisector
5. ∢ABD and ∢CBD are congruent 5. All right angles are congruent.
6. 6. Reflexive property of congruence
7. 7.
8. ∡A≅∡C 8.

Answers

Answer:

I dont know if this is right but... i tried XD

Step-by-step explanation:

Angle A is congruent to angle C.

What is Triangle?

A triangle in geometry is a polygon with three sides and three angles. The sum of the interior angles of a triangle is 180°.

If XYZ is a triangle, it is represented as ΔXYZ

Here, it is given that BD is the perpendicular bisector of AC.

Then by the definition of perpendicular bisector, B is the midpoint of AC.

Consider ΔABD and  ΔCBD

ΔABD and  ΔCBD are right triangles with  ∡ABD =  ∡CBD = 90°.

So,  ∡ABD ≅  ∡CBD   (∵ all right angles are congruent)

Now, by the reflexive property of congruence, every side or angles are congruent to itself.

So BD ≅ BD

Since B is the midpoint of AC, AB = BC.

Hence AB ≅ BC

By SAS theorem, if two sides and an angle of a triangle are congruent to two sides and angles of another triangle, then both triangles are congruent.

Hence ΔABD ≅ ΔCBD

So, Angle A is congruent to angle C.

Hence ∡A ≅ ∡C if BD is perpendicular bisector of AC.

To learn more about congruence of triangles, click:

https://brainly.com/question/10677854

#SPJ2

[tex]-------------------[/tex]
12+2=

Answers

The answer would be 14.

Can someone help ????

Answers

Answer:

432

Step-by-step explanation:

Answer:

432

Step-by-step explanation:

[tex]\frac{(14-3^{2}+1 )^{2} }{1/3.\frac{1}{4} }[/tex]

Now, at first, we solve the numerator:

[tex](14-3^{2}+1 )^{2}[/tex]

=[tex](14-9+1)^{2}[/tex]

=[tex](15-9)^{2}[/tex]

= [tex]6^{2}[/tex]

= 36

Now let's solve the denominator:

1 ÷ 3 ×  [tex]\frac{1}{4}[/tex]

=[tex]\frac{1}{3} . \frac{1}{4}[/tex]

=[tex]\frac{1}{12}[/tex]

Hence,

[tex]\frac{(14-3^{2}+1 )^{2} }{1/3.\frac{1}{4} }[/tex]

=  [tex]\frac{36}{1/12}[/tex]

= 36 x 12

= 432

sharon ate 2 pieces of pie. if this was 25% of the whole pie, how many pieces were there were originally.

Answers

Answer:

8

Step-by-step explanation:

25 divided by 2 is 12.5.

100 divided by 12.5 is 8

Answer:

8

Step-by-step explanation:

2 is 25% so, 2 times 2 is 4

4 is 50% so, 2 times 3 is 6

6 is 75% so, 2 times 4 is 8

8 is 100% of the pie

(a) State whether each of the following is a function. (6, 2), (8,2), (6,3), (12,3) Yes / No ​

Answers

Answer:

Not a function.

Step-by-step explanation:

The definition of a function specifies that no value of x can be paired with two or more different values of y.  

In the given relation:  {(6, 2), (8, 2), (6, 3), (12, 3)},

The input value of x = 6 has two corresponding output values (y-coordinates): 2 and 3.

Therefore, the given relation is not a function.

PLEASE HURRY!

Nicholas started a canned-food drive at school. The equation representing this is y = 235x + 15, where x is the number of days, and y is the number of cans collected. Explain how to determine how many days it would take to collect 2600 cans.

Answers

Answer:

11 days

Step-by-step explanation:

because Nicholas was given a number of cans, which is y, and I need to find the number of days, which is x. To do this, I would substitute 2600 for y, to get 2600 = 235x + 15. Solving for x, I would get x = 11. Thus, it would take 11 days to collect 2600 cans.

Answer:

11 days

Step-by-step explanation:

What are the two pieces of information needed to write an equation, in slope-intercept
form, to model any linear relationship?

Answers

Answer:

Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information. All you need to know is the slope (rate) and the y-intercept. Continue reading for a couple of examples! Write the equation for a line that has a slope of -2 and y-intercept of 5.

Step-by-step explanation:

Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information. All you need to know is the slope (rate) and the y-intercept. Continue reading for a couple of examples! Write the equation for a line that has a slope of -2 and y-intercept of 5.

Answer:

The first piece of information you need is the slope number and the second piece of information you need is the y intercept

Louisa is 5 feet 4 inches tall.
How tall is she in inches?

Answers

Answer:

64 inches

Step-by-step explanation:

We need to convert feet to inches

5 ft = 5*12

= 60

5ft is 60 in

1 ft = 12 in

Add 60 in & 4 in

= 64 in

Hope this helps! Please rate it and press the heart button! Thanks!

Answer:

64

Step-by-step explanation:

12 inches= 1 foot

5 feet= 60 inches

60+4= 64 inches

If 2x = 3y + 11 and 2 to the power of x = 2 to the power of 4(y+1), determine the value of x + y

Answers

Z = -2

Y = 5

is your answer

In 2005 a town with a population of 10,000 finds that its population is declining by a rate of 0.3% per year. Find the following
of the original population. He answered that it would never reach half, what is the incorrect assumptions Johnny made? (answer with a Johnny was asked how long it will take the population to reach complete sentence)

Answers

Johnny's assumption is that, none of the residents of the town will live up to 231 years.

The parameters are given as:

[tex]\mathbf{P_o = 10000}[/tex]--- the population in 2005

[tex]\mathbf{r = 0.3\%}[/tex] -- the rate at which the population declines

To model a population, we make use of the following exponential function

[tex]\mathbf{P = P_o \times(1 -r)^t}[/tex]

Where P is the current population in t years.

So, we have:

[tex]\mathbf{P = 10000 \times(1 -0.3\%)^t}[/tex]

When the population reaches half of the initial population, then P = 5000.

So, we have:

[tex]\mathbf{5000 = 10000 \times(1 -0.3\%)^t}[/tex]

Divide both sides by 10000

[tex]\mathbf{0.5 = (1 -0.3\%)^t}[/tex]

[tex]\mathbf{0.5 = (0.997)^t}[/tex]

Take logarithm of both sides

[tex]\mathbf{log(0.5) = log(0.997)^t}[/tex]

Rewrite the equation as

[tex]\mathbf{log(0.5) = tlog(0.997)}[/tex]

Make t the subject

[tex]\mathbf{t = \frac{log(0.5)}{log(0.997)}}[/tex]

[tex]\mathbf{t = 231}[/tex]

This means that the population will halve its initial population in 231 years.

Johnny's assumption is that, none of the residents of the town will live up to 231 years.

Read more about population functions at:

https://brainly.com/question/25704773

find the value of x.

Answers

Answer:

for which one all ?

Step-by-step explanation:

because if so lemme know

The Western inventory was written by 4 different authors. Author A wrote 1/4 of the books, author b wrote 5/16 of the books, and author c write 3/8 of the books. What part of the inventory did author D write?

Answers

Answer:

Author D write 1/16 of the total number of books.

Step-by-step explanation:

Let the total number of books be b.  Then the amounts written by the four authors would be represented by:

(1/4)A

(5/16)A

(3/8)A

( ? )A

Add these together, realizing that the LCD here is 16:

(4/16)A

(5/16)A

(6/16)A

( ? )  A

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

(15/16)A must then equal the remainder of the work:  (16/16)A

Thus, Author D wrote (1/16)A of the books.  (Note that 4/16 + 5/16 + 6/16 + 1/16 = 1)

Author D write 1/16 of the total number of books.

Nadine received the same score on each turn in an online game. Her score on each turn was −24. She had 4 turns.

What was Nadine's final score?

Answers

Answer:

Step-by-step explanation:

-24 x 4 = -96

Given: F(x)= 5 x - 6 and G(x)= x - 4
(FoG)^-1=

Answers

By definition of inverse function,

[tex]F\left(F^{-1}(x)\right) = x[/tex]

so that

[tex]5F^{-1}(x) - 6 = x[/tex]

[tex]5F^{-1}(x) = x + 6[/tex]

[tex]F^{-1}(x) = \dfrac{x + 6}5[/tex]

Similarly,

[tex]G\left(G^{-1}(x)\right) = G^{-1}(x) - 4 = x \implies G^{-1}(x) = x+4[/tex]

Then the inverse of the composition [tex]F\circ G[/tex] is such that

[tex]\left(F \circ G\right) \left((F \circ G)^{-1}(x)\right) = x[/tex]

By definition of composition,

[tex](F\circ G)(x) = F(G(x))[/tex]

Applying [tex](F\circ G)^{-1}[/tex] to this recovers x, and this involves first inverting F, then G:

[tex](F\circ G)^{-1}(x) = G^{-1}\left(F^{-1}(x)\right)[/tex]

So, we find

[tex](F\circ G)^{-1}(x) = G^{-1}\left(F^{-1}(x)\right) = G^{-1}\left(\dfrac{x+6}5\right) = \dfrac{x+6}5 + 4 = \boxed{\dfrac{x+26}5}[/tex]

5. Find the triangle similar to AABC at the right. Question 5

Answers

Answer:

b

Step-by-step explanation:

If you multiple each side by 3 then they will equal the numbers that b has

1. A person who weighs 100pounds on Earth weighs 16.5 pounds on the Moon. If a boy
weighs 86pounds on Earth, how much does he weigh on the moon

Answers

Answer:

That person would weigh 14.22 lbs.

11(5-8=-11 5-8=-1. S=

Answers

divided by 11 on both sides
and s=7

Have i done this right, why did i not get the third mark

Answers

Answer:

because you are good with math

Step-by-step explanation:

Maria paid 320.00 for a jacket that was discounted by 20%. What was the original price of the jacket?

Answers

Stuff and what they said the answer is 700.77%

The two interior angles that are not adjacent to an exterior angle are remote interior angles. TrueFalse

Answers

Answer:

true

Step-by-step explanation:

true

Which theorem does it offer proof of?

Answers

Answer:

vertical angles are =

Step-by-step explanation:

its urgent please. my assignment is due in like 30 minutes

Answers

Answer:

( iii)

a-x/a+x =b

a-x=b(a+x)

a-x=ab+ax

a-ab=ax+x

a-ab=x(a+1)

a-ab/a+1=x(a+1)/a+1

x=a-ab/a+1

x=a(1-b)/a+1

-1/3(2p-9) what does p equal

Answers

Answer:

-2p/3+3

Step-by-step explanation:

What times -1/2 x what = -20?

Answers

Answer:

40

Step-by-step explanation:

Let the number be y

-1/2 × y = -20

y = -20 ÷ -1/2

y = 20 × 2

y = 40

My sweatshirt rhat i want to buy is $36 today the price is 30% off what is the price of the sweatshirt today​

Answers

36x0.3=10.8

Your answer 10.8$

I just need help simplifying

Answers

Answer:

(x - 2) / (x - 1)

Step-by-step explanation:

(x - 2)(x + 3) / (x - 1)(x + 3) <-- factor top and bottom

(x - 2) / (x - 1) <-- cancel out x + 3



Im pretty sure its
-1

8x-3y=9
3x+2y=8
(Guys need help on this simultaneous equation)

Answers

Step-by-step explanation:

sorry that's all i know hehe

The temperature of a pan of water on the stove increases steadily from 22°C to 100°C at a rate of 8°C per minute. The temperature after 5 minutes is what.

Answers

Answer:

ui100

Step-by-step explanation:

125

The temperature of a pan of water on the stove after 5 minutes would be 40°C.

What is temperature?

Temperature is the measure of the degree of hotness and coldness which is expressed in different scales.

The temperature of a pan of water increases steadily from 22°C to 100°C at a rate of 8°C per minute.

We need to find the temperature after 5 minutes.

Rate of temperature per minute = 8°C

Rate of temperature after 5 minutes = 8°C × 5

                                                            = 40°C

Therefore, the temperature after 5 minutes would be 40°C.

Learn more about temperature;

https://brainly.com/question/11464844

Solve the following inequality.
3x + 5 < 6x – 1

Answers

22

Subtract 3x on both sides
Add 1 on both sides
Divide by 3 on both sides
Then you get your answer

Each big square below represents one whole.

Answers

Answer:

103%

Step-by-step explanation:

each little box is 1%

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