The linear function f(x) has a slope of "5 and a y - intercept of 1. The linear function g(x) passes through the points (-4, 2) and (2, 14). Which statement is true?

A. The y-intercept of f(x) is 9 units larger than the y-intercept of g(x).

B. The y-intercept of g(x) is 9 units larger than the y-intercept of f(x).

C. The y-intercept of f(x) is 7 units larger than the y-intercept of g(x).

D. The y-intercept of g(x) is 7 units larger than the y-intercept of f(x).

Answers

Answer 1

Answer:

Step-by-step explanation:

f(x) = 5x + 1

Given these two points on the graph of g(x), we must determine the slope, m, of the line.  Going from (-4, 2) to (2, 14), x (the run) increases by 6 and y (the rise) increases by 12, so the slope is m = rise/run = 12/6, or m = 2.  Adapting the slope-intercept form y = mx + b, we find b as follows:

14 = 2(2) + b, or 14 = 4 + b, or b = 10.  Then g(x) is 2x + 10.

Comparing f(x) = 5x + 1, we determine whether each of the four statements is true or false:

A is false; the respective y-intercepts of f and g are 1 and 10.

B is true:  the respective y-intercepts of g and f are 10 and 1.

C is false; neither y-intercept is 7.

D is false.  1   


Related Questions

Find the distance between these two points ( 7,9) and (4,6)
A. 4.24
B. 4.40
C. 3.50
D. 9.00

Answers

Answer:

Step-by-step explanation:

C is the answer

what is the answer for this?

Answers

Answer:

3a+a-15=225

Step-by-step explanation:

if b=a-15, the first step is to substitute.

3a+b=225

3a+(a-15)=225

3a+a-15=225. i believe that is the answer

There are 2 weeks and 5 days until Rosa's birthday. How many days is that in all?

Answers

Answer:

19 days

Step-by-step explanation:

2 weeks = 14 days

14 + 5 = 19

Answer:

19 days

hope this helps

have a good day :)

Step-by-step explanation:

Which of the following options have the same value as 60% of 94?
Choose 3 answers:
0.06.94
0.6.94
94
60.94
60
.94
100

Answers

Answer:

[tex]60\% \: of \: 94 \\ = \frac{60}{100} \times 94 \\ = \frac{3}{5} \times \frac{94}{1} \\ = 18.4 \times 3 \\ = 55.2[/tex]

Evan is asked to draw a quadrilateral with the following specifications:

·two opposite angles measure 65°
·adjacent angles are supplementary
·one side length is 7 inches

Which of the following statements about this quadrilateral is true?

A. More than one quadrilateral exists with the given conditions, and all instances must be parallelograms.

B. More than one quadrilateral exists with the given conditions, and all instances must be rhombuses.

C. Exactly one quadrilateral exists with the given conditions, and it must be a parallelogram.

D. Exactly one quadrilateral exists with the given conditions, and it must be a rhombus.

Answers

Answer:

A

Step-by-step explanation:

A rhombus is a special parallelogram with 4 congruent sides, so the answer is A

What is the average rate of change of f(x) on the interval [-3, -1]?

Answers

Answer:

To get a more specific answer, you'll need a specific function formula.

Step-by-step explanation:

The average rate of change in a function is the slope of a segment connecting two points on the graph of the function.  If a formula (rule) for the function is given, then a graph is not usually necessary.

Example:  Given the function  [tex]f(x)=x^2[/tex], what is the average rate of change on the interval [tex][-3,1][/tex]?

Find the value of the function at each endpoint.

[tex]f(-3)=9\\f(-1)=1[/tex]

Then find

[tex]\frac{f(-1)-f(-3))}{-1-(-3)}=\frac{1-9}{-1+3}=\frac{-8}{2}=-4[/tex]

The average rate of change in f on the interval is 4.

find the rate of change

Answers

Answer:

adds 4 each time

Step-by-step explanation:

The equation is- x•y-2?

A cylindrical container has a radius of 4 cm and a height of 7 cm. to the nearest tenth, what is the volume of the container? A) 347.2 cm B) 351.9 cm 0 359.1 cm D) 372.4 cm3​

Answers

Answer is 351.9cm. Hope I helped have a good day !

115 divided by 6 is what?? help

Answers

19.16666666666666666666666

115 divided by 6 is 19.16

What is Division?

A division is a process of splitting a specific amount into equal parts.

We need to find the solution or quotient when 115 is divided by six.

115 is the dividend.

6 is the divisor.

115/6

115 is the numerator and six is the denominator.

19.16 is the solution when 115 divided by 6 i

Hence, 115 divided by 6 is 19.16

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ5

I dont have long so brainest to first (honest answer or I'm reporting)

Answers

multiply both sides by 2.2 to isolate the x.

5(2.2) = w

11 = w

hope it helps

Answer:

w = 11

Step-by-step explanation:

[tex]5=\frac{w}{2.2}[/tex]

2.2 × [tex]5=\frac{w}{2.2}[/tex] × 2.2

11 = w

w = 11

Tim had nine cards, each with a different number from 1 to 9 on it.
He put the cards into three piles so that the total in each pile was 15.
How could he have done this?

Can you find all the different ways Tim could have done this?

All.​

Answers

Answer:

Tim had nine cards with each having a distinct number from 1-9, meaning no number should be repeated twice while he tried to arrange them in piles while each pile should have a total of 15 when these numbers in the card are added all together.

I would arrange the ways below in rows and columns to make it easier to understand:

Ways          Ist Pile               2nd Pile               3rd Pile

1st way:        5, 1, 9               2, 4, 6, 3                7,  8

2nd way:      1, 6, 8               5, 7, 3                    4, 2, 9

3rd way:       9, 2, 3 , 1           4, 5, 6                     8, 7

4th way:       4, 9, 2               7, 8                         6, 3, 5, 1

5th way:       8, 2, 4, 1            9, 6                        7, 5, 3

6th way:       1, 2. 3, 4, 5        7, 8                         9, 6

7th way:       3, 8, 4                4, 6, 5                    9, 1, 5

8th way:       1, 2, 5, 7            3, 4, 8                     6, 9

9th way:       8, 5, 2               9, 6                          1, 3, 4, 7

i need help with this

Answers

Answer:

A

Step-by-step explanation:

For the first block, you need to multiply a x a x b

3 x 3 x 6 = 54

For the 2nd block, you need to multiply a x a x c

3 x 3 x 12 = 108

Now you need to add both volumes of the blocks

108 + 54 = 162 in^3

Show the given equation in a graph
x + y = 5​

Answers

Answer:

you us the equation given and plot points in the graph that are given with the equation.

Jeffrey and Marie just had a baby and want to invest money into a bank account to save money for their newborn. The bank account they are looking into yields 6.8% interest each year. If Jeffrey and Marie invest $500, how much money will be in the account when their child's turns 18 years old​

Answers

Answer:

$1,112

Step-by-step explanation:

6.8% x 500= 34

34 x 18 = 612

612 + 500 = 1112

A baby weighs 6.4 pounds at birth. At the end of ten months the baby has grown 2 1/2 times its birth weight. How many pounds did the baby weigh at the end of ten months?

Answers

Answer:

The answer would be 16.

Step-by-step explanation:

Its easy multiplication. I hope this helps you!

Answer:

16 pounds (i belive)

Step-by-step explanation:

6.4 lbs × 2 1/2 = 16 lbs

A solid piece of wood shaped as a cylinder with an 8-centimeter diameter is cut as shown.



What is the surface area of the figure? Express the answer in terms of π.

96 + 64π cm2
96 + 80π cm2
96 + 112π cm2
96 + 128π cm2

Answers

Answer:

A

Step-by-step explanation:

Help please ;3; ksajnwns

Answers

Answer:

yes

no

yes

yes

Step-by-step explanation:

replace every number on y

and check whether it works or not.

Function “p” is in the form y=ax^2 + C. If the values of “a” and “c” are both less than 0, which graph could represent “p”?

A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answers

Answer:

B

Step-by-step explanation:

Since the value of a is less than 0, the graph of the parabola would be opening downwards. Because of this we can rule out option C. In a quadratic equation, c represents the y-intercept, and, in this case c is negative, meaning the y-intercept is less than 0. Only option B has a downward-opening curve and a y-intercept less than 0, so it is the answer.

Answer:

B. Graph B

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

hope it helps...

have a great day!!!

what is equivalent to -23-(26)=x

Answers

I’m not sure if this is what your looking for but x = -49

How many solutions does the equation
-2(x + 3) = 2x - (5 – x) have?

Answers

Step-by-step explanation:

-2(x + 3) = 2x - (5 – x)

-2x+6= 2x-5+x

-2x+6=3x-5

-2x-3x=-5-6

-5x=-11

x= 11/5

( 1 solution)

Answer:

Solution given:

-2(x + 3) = 2x - (5 – x)

-2x-6=2x-5+x

-6+5=2x+2x+x

5x=-1

x=[tex] \frac{-1}{5} [/tex]

It has one Solution.

Need the answer to part a and part b please :)

Answers

Answer:

55° and 76°

Step-by-step explanation:

An inscribed angle is half the measure of its intercepted arc.

(a)

∠ IDE = [tex]\frac{1}{2}[/tex] × IE = 0.5 × 110° = 55°

(b)

arc TD = 2 × ∠ TED = 2 × 38° = 76°

In the triangle shown above, m∠B = 105°, a = 12 in, and c = 8 in. What is the approximate length of side b?
A.
257.69 in
B.
14.44 in
C.
15.26 in
D.
16.05 in

Answers

Answer:

Step-by-step explanation:

Since we have one angle with an opposite side and another side known, we are dealing with an ambiguous case. There are either

0

,

1

or

2

solutions to this triangle.

We start by determining the measure of

A

using the law of Sines, since we already know the measure of side

a

.

sin

A

a

=

sin

B

b

sin

A

14

=

sin

105

˚

23

A

=

arcsin

(

14

sin

105

˚

23

)

A

=

36

˚

There is only one solution to this triangle, because if it was, then the alternative measure of A would be

180

˚

36

˚

=

144

˚

, which when added to

B

, would make the sum of the angles in the triangle exceed

180

˚

.

We can now use the measure of angles

A

and

B

to solve for angle C.

A

+

B

+

C

=

180

˚

36

˚

+

105

˚

+

C

=

180

˚

C

=

39

˚

The last step is using this information to reapply the law of sines and determine the length of side

c

.

sin

B

b

=

sin

C

c

sin

105

˚

23

=

sin

39

˚

c

c

=

23

sin

39

˚

sin

105

˚

c

=

15

In summary

The triangle has the following measures.

A

=

36

˚

a

=

14

units

B

=

105

˚

b

=

23

units

C

=

39

˚

c

=

15

units

Hopefully this helps!

To participate in a competition, each team must follow the rules about the allowable number of adults and children on a team.



Let `x\ `represent the number of adults on the team. Let `y` represent the number of children on the team.



There has to be exactly one adult for every two students. Create an equation th

Answers

Answer:

sorry I don't know answer

Simplify √14q times 2√4q

Answers




4q√14 hope this help


Answer:

[tex]4\sqrt{14} q^{2}[/tex]

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Which set of angle measures could be the measures of the interior angles of a triangle?
50°, 60°, and 75°
35°, 105°, and 45°
62°, 62°, and 62°
90°, 45°, and 45°​

Answers

Answer:

4th option

Step-by-step explanation:

4th option is the correct answer.

Answer:

D.

Step-by-step explanation:

A ball is thrown into the air with an upward velocity of 12 meters per second. Its height h in meters after t seconds is given by the function h=-16 + 12t + 5. How long will it take the ball to reach its maximum height? What is the ball's maximum height? What is the range of the function? look at the picture as well ​

Answers

Answer:

-16(5/8)^ 2 + 20(5/8) + 6  =   12.25  ft

Step-by-step explanation:

h = -16t^ 2 + 20t + 6  the ball will hit the ground when h  = 0

0 = -16t^2  + 20t   + 6      factor

0  = ( -8t  -  2 )  ( 2t  - 3)     set each  factor to 0                        

-8t  -  2  =  0   and   2t  - 3   = 0

-8t   = 2             2t   =   3

t  = -2/8  = - 1/4  sec        t  = 3/2 sec  = 1.5 sec

Max hit will be reached at [ -b / 2a ]    sec    =  -20 / [ 2(-16)]  =  20/32  =  5/8 sec

 

 -16(5/8)^ 2 + 20(5/8) + 6  =   12.25  ft

Plz help 25 points for the answer

Answers

Answer:

The correct answer is option a

Answer:

The answer is A

Step-by-step explanation:

Find the area of figure 2.

25 units2
10 units2
16.5 units2
7.5 units2

Answers

Answer:

7.5 units2

[tex]area = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 3 \times 5 \\ = 7.5 \: sq \: units[/tex]

Find the area and round it to the nearest hundredth if necessary

Answers

Answer:

16.28 squared inches

Step-by-step explanation:

Use the formula A = bh.

b = base

h = height

A = (4.4) (3.7)

A = 16.28

What is the domain of the function y = l n (x + 2)
A. x < -2
B. x > -2
C. x < 2
D. x > 2

Answers

Answer:

Option B.

Step-by-step explanation:

For a function f(x), the domain is the set of all the possible values of x that can be used in the function.

We know that the natural logarithm is only defined for positive real numbers.

So, the function:

Ln(x + 2)

Works always that

x + 2 > 0

So we can just solve this inequality for x, and that will give us the domain of the function.

To isolate x, we just need to subtract 2 in both sides of the inequality.

x + 2 - 2 > 0 - 2

x > - 2

This is the domain of the function.

The correct option is B.

Answer:

b.x>-2

Step-by-step explanation:

edge 2021

Other Questions
A ray of light passes from air into cubic zirconia at an angle of 56.0 to the normal. The angle ofrefraction is 22.00. What is the index of refraction of cubic zirconia? An item costs `x` dollars and then a 20% discount is applied. ----------------------------------- b) Sam says that 20/100x` will not work. Do A social cause is: O A. when one person protests without the support of others. B. something that not many citizens think or care about. O c. a protest movement encouraged by government officials. D. an issue that people are concerned about and rally around. . Do you think the Philippines will be able to achieve the eight Millennium Development Goals? (explain your answer) * What is the use of ' before in, in the attachment?[tex][/tex] HELP HELP HELP HELP PLEASE PLEASE PLEASE Helppp this is due in 10 minutes!!!! (34 points) How, and why would some continent have more A-Allele than other continents? 33%The diagram shows a square ABDE and an isosceles triangle BCD.Angle C = 40Work out the size of angle EBC.B40E what is the comparison of Wind turbine and other energy sources? How did militarism help start WWI? A. Militarism had nothing to do with WWIB. The Industrial Revolution reduced the # of weaponsC. The two-power ruleD. Nations wanted to be powerful and have the biggest military Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.) f(x) = 7xex, a = 0 In UVW, the measure of W=90, WU = 32 feet, and UV = 51 feet. Find themeasure of V to the nearest tenth of a degree. What are the slopes of the lines. PLS ANSWER!! +GIVING BRAINLIEST FOR 1ST CORRECT ANSWER 5.To confirm your understanding, write a summary of The Winter Hibiscus." define saturated and unsaturated fats Assume that Speedo International received $400,000 cash by signing a long-term promissory note. They are required to make cash interest payments on April 30 and October 31 at an annual rate of 6%. Assuming a 12/31 year end. Required:What journal entries would be required at December 31? If mSW = (12x-5), mTV= (2x+7),and m angle TUV = (6x-19), find mSW Please help on this!!!! Thanks!! Um gato come 5 ratos por dia. Quantos ratos 5 gatos comem em 5dias?