Theresa is comparing the graphs of y=2x and y=5x. Which statement is true?


The y-intercept of y=2x is (0, 2), and y-intercept of y=5x is (0, 5).


Both graphs have a y-intercept of (0, 1), and y=2x is steeper.


Both graphs have a y-intercept of (0, 1), and y=5x is steeper.


Neither graph has a y-intercept.

Answers

Answer 1

Answer:

Both graphs have a y-intercept at 0,1.  The y=2^x is steeper than y=5^x

Step-by-step explanation:

If you graph these on a graphing calculator you will clearly see they have the same y-intercept (0,1) and that y=2^x is steeper.

Answer 2

The correct option is option B that is both graphs have a common y-intercept of (0, 1) and y = 2x is steeper.

What is the intercept of a line ?

The point where the line or curve crosses the axis of the graph is called intercept. If a point crosses the x-axis, then it is called the x-intercept.

Theresa is comparing graphs of y = 2x and y = 5x

The y-intercept is the point where a graph crosses the y-axis. In other words, it is the value of y when x = 0.

Let's check

which is y = 2x.

For x = 0 , y = 0

for x = 1 , y = 2

So , here y-intercept will be (0,2)

So , for both the values y - intercept exists for first function which is y = 2x.

Similarly, for y = 5x , there will be a y -intercept of (0,5).

Both graphs have a common y-intercept of (0, 1).

We know that if the slope of the graph is steeper then we can say that the tangent of the angle made by it will be more and it will make more angle with the x axis.

Here , y = 2x is more steeper than y = 5x.

Therefore , the correct option is option B that is both graphs have a common y-intercept of (0, 1) and y = 2x is steeper.

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Related Questions

You open your first interest-bearing savings account with an initial deposit of
$2,500. Interest is compounded quarterly at a rate of 3.5%. Assuming you do not
deposit any more money into the account, how much money will you have in the
account after 5 years?

Answers

Answer:

$2,975.85

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 3.5% into a decimal:

3.5% -> [tex]\frac{3.5}{100}[/tex] -> 0.035

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

[tex]A=2,500(1+\frac{0.035}{4})^{4(5)}[/tex]

[tex]A=2,975.85[/tex]

After 5 years, the account will have $2,975.85

Given these what is X if B-X=A

Answers

Answer:

B

Step-by-step explanation:

B-X=A

or

B-A=X

or

X=B-A

[tex]X=\left[\begin{array}{ccc}-5&-1&6\\4&1&2\\0&-3&2\end{array}\right] -\left[\begin{array}{ccc}-1&-2&3\\4&8&-6\\0&1&5\end{array}\right] \\=\left[\begin{array}{ccc}-5+1&-1+2&6-3\\4-4&1-8&2+6\\0-0&-3-1&2-5\end{array}\right] \\=\left[\begin{array}{ccc}-4&1&3\\0&-7&8\\0&-4&-3\end{array}\right][/tex]

Answer:

answer is B

Step-by-step explanation:

Find the total surface area of the prism

Answers

Answer:

217 sqft

Step-by-step explanation:

the total area can be divided into 6 parts:

2 triangles, 2 rectangles(height 5, length 8) and 2 rectangles(height 7, length 8)

Therefore the area can be calculated as :

2* (1/2* 5*5) + 2*5*8+2*8*7 = 217 sqft

On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram 2 has points (2, 0), (4, negative 6), (2, negative 8), and (0, negative 2).
How do the areas of the parallelograms compare?

The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2.
The area of parallelogram 1 is equal to the area of parallelogram 2.
The area of parallelogram 1 is 2 square units less than the area of parallelogram 2.

Answers

Answer:

The answer is: A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

Step-by-step explanation:

Hope this helped :)

Answer:

A

Step-by-step explanation:

What are the coordinates of point K?
(-
)
()

Answers

Answer:5/8 and 1/4

Step-by-step explanation:

The coordinates of point K can be given by (-1/4, 5/8).

What are cartesian coordinates?

Cartesian coordinates are the values on a graph that can be used to show the location of a point on the graph.

The coordinates of point K can be found as follows:

There are 4 lines between 0 and -1 on the x-axis which divide it into 4 equal parts.

Point K lies on the first line. This means that the x-coordinate of the point is -1/4.

There are 8 lines between 0 and 1 on the y-axis which divide it into 8 equal parts.

Point K lies on the fifth line. This means that the y-coordinate of the point is 5/8.

From this, we can understand that the coordinates of the point K on the graph can be given by (-1/4, 5/8).

Therefore, the coordinates of point K can be given by (-1/4, 5/8).

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What is 3/4 + 1/3 ?
* 15p*

Answers

3/4= .75
1/3= .33
.75+ .33= 1.08
in decimal form it is 1.0833 and in fraction form it’s around 1 1/13

Using the matrix solver on your calculator, find the solution to the system of

equations shown below.

2x - 4y = 4

x - 2y = 8

Answers

Answer:

x = 5

y = - 3/2

Step-by-step explanation:

[tex]\left \{ {{2x-4y =4} \atop {x-2y=8}} \right.[/tex]

The augmented matrix is :

[tex]\left[\begin{array}{ccc}2&-4&4\\1&-2&8\\\end{array}\right][/tex]

Now; to Row operations

Swap row 2 to row 1

[tex]\left[\begin{array}{ccc}1&-2&8\\\\2&-4&4 \end{array}\right][/tex]

Multiply row 1 with 2 and add to row 2 ;

1(2) = 2

-2(2) = -4

8(2) = 16

2 +2  = 4

4 +(-4) = 0

16+ 4 =20

Now; we have:

[tex]\left[\begin{array}{ccc}1&-2&8\\\\4&0&20 \end{array}\right][/tex]

changing row 2 back to equation form:

4x + 0y = 20

4x = 20

x = 20/4

x = 5

substituting x = 5 in row 1

x - 2y = 8

5 - 2y = 8

-2y = 8 -5

-2y = 3

y = - 3/2

What type of function best models the data in this table? Justify your reasoning.

x 2 5 8 11 14 17
y 16 25 34 43 52 61

Answers

Answer:

The function that models the data in this table would be a linear function.

Step-by-step explanation:

161-52=9

7-14=3

9/3=3

52-43=9

14-11=3

9/3=3

Can someone help me find the evaluation for #20 I need to show my work

Answers

(96*4)/8 which is 48

Mental Math
Solve
119*121

Answers

Answer:

14399

Step-by-step explanation:

break it down yall

119=100+19

121=100+21

100*100=1000

19*21=4399

add em up

Answer:

14,399

Explanation:

Set it up in a table and multiple.

I hope this helps you!

Please help! Its one of my last! Please include steps as well since i have to show work. I will give brainliest.

Answers

Answer:

600 sq mm

Step-by-step explanation:

I divided the shape into 2 shapes and found each shapes area and after that added both of its area to find the area of the above shape

area of rectangle= b x h

so, 15x30=450mm (square)

area of triangle= b x h (divided) 2

so, 10x30=300 (divided) by 2

= 150mm (square)

so, 450 (plus) 150= 600mm (square)

Factor the polynomial.

125x^3+27

Answers

Answer: (5x+3) (25x^2-15x+9)

(5x + 3) (25x^2-15x + 9)

What happens if you decide to cash in your Certificate of Deposit (CD) before its maturity date?

Answers

Answer:

If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.

Step-by-step explanation:

I have a book on this kinda stuff! :D

Answer:

If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.

Step-by-step explanation: ED2022

Simplify the following expression.
(13x+ 9) + (38x+33y)
A. 51x + 4y
B. 22x + 46y
C. 22x + 42y
D. 51x+ 42y​

Answers

Answer:

The answer would be D.

Step-by-step explanation:

All you have to do is combine like terms.

Pretend that the parenthesis aren't there. 13x + 9y + 38x + 33y.

When you combine like terms, you add or subtract the terms that have the same variable attached.

13x + 38x = 51x.

9y + 33y = 42y

51x + 42y.

I hope I helped.

Brainliest would be appreciated.

What that guy said the answer is D ;)

what is the value of x?

Answers

Answer:

you need a d/protector to do this

Step-by-step explanation:

Melanie had 4 2/3 pounds of chopped walnuts. She used 1 1/4 pounds in a recipe. How many pounds of chopped walnuts did she have left?

Answers

Answer:

Step-by-step explanation:

To make the denominator the same on both sides you need to multiply 1/4 by three and make it 3/12 and multiply 2/3 by four to get 8/12 and then you just subtract to get 3 5/12

Answer: 3 5/12

Step-by-step explanation:

Mr. Smith plans to build a 3-foot-wide walkway

around the outside of the cabin, as shown in the floor

plan. What will be the area, in square feet, of the top

surface of the walkway?

A. 171

B. 324

360

396

720

Answers

Answer:

360

Step-by-step explanation:

The area of the top surface of rectangular cabin walkway is given by the equation A = 360 feet²

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangular cabin be represented as A

Now , the initial length of the cabin = 30 feet

The initial width of the cabin = 24 feet

And , Mr. Smith plans to build a 3-foot-wide walkway around the outside of the cabin

So , the increased length of the rectangular cabin = 30 + 6 = 36 feet

The increased width of the rectangular cabin = 24 + 6 = 30 feet

Now , Area of Rectangle = Length x Width

Substituting the values in the equation , we get

Area of rectangular cabin A = 36 x 30

Area of rectangular cabin A = 1080 feet²

Now , the area of the cabin before increment of sides = 24 x 30

The area of the cabin before increment of sides = 720 feet²

So , the area of the walkway = 1080 - 720 = 360 feet²

Area of rectangular cabin walkway A = 360 feet²

Hence , the area of the rectangular cabin walkway is 360 feet²

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(4x + 30)
What’s the answer

Answers

Answer:

Fraction form -15/2

Decimal form -7.5

Step-by-step explanation:

4x+30=0

subtract 30 from both sides

4x=-30

divide both sides by 4

x=-30/4

simplify

-15/2 or -7.5


Name the natural regions in Texas.

Answers

Answer:

the Gulf Coastal Plains, the Great Plains, the North-Central Plains and the Basin and Range.

Step-by-step explanation:

What single rigid transformation maps TriangleABC onto TriangleA'BC'?

dilation
reflection
rotation
translation

Answers

Answer:

The answer would be reflection.

Step-by-step explanation:

the answer is reflection because you would reflect it over the axis.

Answer:

Reflection would map ABC to A'B'C'

Step-by-step explanation:

Which are the roots of the quadratic function f(q) = 02 - 125? Select two options.
O q = 5/5
O q = -5/5
q=3/5
q = -3/5
q=25/5

Answers

It’s is the first and second one

will give brainlist if its right!

Answers

Answer:

7/30

Step-by-step explanation:

or 7 out of thirty.

plz correct me if im wrong, ill fix it

Answer:

7/30

Step-by-step explanation:

First you need to add up all the frequency so you know the total number that they has spun which is 30. So you put the total frequency that number 4 has on. Which is  7/30

Finding a Linear Regression Model
Warm-Up
Find a linear function that models the data in the table
2
y
f(x) =
-4
-6
-1
-1
0
1
2
4
3
7

Answers

Answer:

f(x) = 1.8x + 1

Step-by-step explanation:

I graphed the table on the graph below and found the equation of the line.

If this answer is correct, please make me Brainliest!

What does the inequality x + 3 ≤ 2 say?

A number and three is at most two.
A number and three is less than two.
A number and three is at least two.
A number and three is no less than two.

Answers

Answer:

A number and three is at most two.

Step-by-step explanation:

keywords :)

[tex] > bigger \: than \\ < smaller \: than \\ \leqslant is \: at \: most \\ \geqslant is \: at \: least[/tex]

A number and three is at most two

whats the constant of the function?

Answers

Answer:

-4

Step-by-step explanation:

In mathematics, a constant function is a function whose value is the same for every input value. For example, the function is a constant function because the value of is 4 regardless of the input value. The answer is -4

Which expression is equal to 420−−√−345−−√?




115√

−115√

5√

−5√

Answers

Answer:

[tex]-\sqrt{5}[/tex]

I hope that this helps anyone in the future! I took the test and got a good grade thanks to the anwser above

Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls-going on the
field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of the
population. Which was most likely true of the representative sample?
VA
The representative sample contained all 160 students,
The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
The representative sample contained an equal number of boys and girls,
Save and Exit
Next
Submit
Mark this and retum

Answers

Answer:

The representative sample contained more girls than boys.

Step-by-step explanation:

A "sample" of something is a small part of it. A "representative sample" is a small part of the students that represents them all. A random sample would not include all 160 students. It is more likely that there would be more girls than boys, than more boys than girls. In total, there are more girls than boys: 95 girls to 65 boys. It is more likely that a sample of the total students would be just like the total, but smaller.

Evalaute the expression 3x + (z+2y)-12, if x=3, y=8 and z=5
please help rn

Answers

Answer:

18

Step-by-step explanation:

3x + (z + 2y) - 12, if x = 3, y = 8 and z= 5.

3*3 + (5+2*8) - 12

9 + (5 + 16) - 12

9 + 21 - 12

30 - 10 - 2

20 - 2

18

Answer:

18

Step-by-step explanation:

First what you would do is plug in the numbers.

3x3+(5+2x8)-12

Then you would multiply 2 times 8 and get 16. Then add 16 and 5 and get 21.

3x3+(21)-12

Then you add 3 times 3 and get 9.

9+21-12

Then you solve left to right. Then you add 9 and 21 and get 30. Last you subtract by 30 by 12 and get 18.

NEED HELP it’s a mastery grade!!

Answers

Answer:

2.49

Step-by-step explanation:

Answer:

2.49

Step-by-step explanation:

first u do 13.96 divde by five then to check it do 2.49 x 5

True or false.
The scale factor of a dilation is the ratio of a length of a side of the image to the corresponding side length of the pre-image.​

Answers

Answer:

true

Step-by-step explanation:

Answer:

true i think

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