Let f(x)=2/3x+4 and g(x)=kx+6 . For which value of will the x-intercept of f() be equivalent to the x-intercept of g()?

Answers

Answer 1

0=(2/3)x +4

multiply by 3

0=2x +12

x =-6

(2/3)x +4 =0

2x +12 = 0

x =-6  = the x intercept

(2/3)x + 4 = kx +6

(2/3- k)x = 2

multiply by 3

(2-3k)x = 6

(2-3k)(-6) = 6

2-3k =-1

3k= 3

k = 1 makes the 2nd equation have the same x intercept = -6  or the point (-6,0)


Related Questions

Please answer this. Thank you!

Answers

Answer:

8: 73.2 cm

10: 738 mm

Step-by-step explanation:

8: A= 12.2 (4.5 + 7.5) / 2 --> 146.2 / 2 = 73.2 cm

10: A= 36 (22 + 19) / 2 --> 1,476 / 2 = 738 mm

Answer:

8: 73.2

10: 738

Step-by-step explanation:

Area of a trapezoid = [tex]A=\frac{a+b}{2} h[/tex]

where a and b = base lengths and h = height

For #8

These are the given dimensions

Base 1 = 4.5

Base 2 = 7.5

Height = 12.2

All we have to do is plug in the values into the formula

So....

[tex]A=\frac{4.5+7.5}{2} 12.2\\4.5+7.5=12\\\frac{12}{2} =6\\6*12.2=73.2[/tex]

Hence the answer is 73.2cm²

For #10

Once again all we have to do is plug in the values into the formula

[tex]A=\frac{22+19}{2} 36\\22+19=41\\\frac{41}{2} =20.5\\20.5*36=738[/tex]

Hence the answer is 738

An equation is shown below:
6(2x - 11) + 15 = 3x + 12
Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)
Part B: What value of x makes the equation true? (4 points)

Answers

x = 7
6(2x-11)+15=3x+12
distribute the 6:
12x-66+15=3x+12
add -66 and 15:
12x-51=3x+12
subtract 3x from both sides:
9x-51=12
add 51 to both sides:
9x=63
divide 9 from both sides:
x=7
X=7 hope this helps

NEED HELP ASAP!!!!!!!

Answers

Answer:

1. Four thousand five hundred ten

2. 51.65 rounded to the nearest whole number is 52.

3. 2622 divided by 3 = 874

4. [tex]6940 / 10^{2}[/tex] = 69.4

5. 3/4 x 5 = 3.75 or [tex]3\frac{3}{4}[/tex]

6. (2 x 7) - (2 x 5) = 4

7. The area is [tex]\frac{6}{7}[/tex]

8. 70 - (20-13) would probably work

Please give my brainliest if I helped!

A 50% decrease followed by a 75% increase


Same as the original, less than, or greater than the original?​

Answers

Greater than the original
Greater than! 25% increase

A student is using a spinner with four equal sections numbered 1 through 4. He also tosses a fair coin. What is the correct sample space for this compound event?

A. {H, T}

B. {(HT, 1), (HT, 2), (HT, 3), (HT, 4)}

C. {(1,H), (2,H), (3,H), (4,H), (1,T), (2,T), (3,T), (4,T)}

D. {1, 2, 3, 4}

Answers

Answer:

C. {(1,H), (2,H), (3,H), (4,H), (1,T), (2,T), (3,T), (4,T)}

anwser: C


stwo by step explanation:

Is the following number rational or irrational?
-2π

Answers

Irrational (I think)

Answer:

irrational

Step-by-step explanation:

-2π is an irrational number because π can't be written down as a non-infinite decimal, you need an approximate value.

hope this helps!

It rained 4.2 inches in 12 hours. At this rate,
how much will it rain in 27 hours? Please help!!!!!!

Answers

9.45

Have a good day

Please answer. Thanks.

Answers

Answer:

Step-by-step explanation:

Plz help me thank you

Answers

Answer:

answer is 1/100, 1/100, and 100

Answer:

0.5 is 1/100 times 50. 0.005 is 1/100 times 0.5. 50 is 100 times 0.5

Step-by-step explanation:

                         HOPE THIS HELPS YOU!!!!!! :) :) :) :) :)

                           SORRY IF IT IS WRONG. :) :) :) :) :)

If y represents a student's age, which inequality shows that you must be older than 14 to try out for the basketball team?

Answers

Y>14. Y is the student age and the sign shows that it is greater than 14

Inequality shows that you must be older than 14 to try out for the basketball team is y > 14

What is an inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

According to the question

y represents a student's age

Inequality shows that you must be older than 14 to try out for the basketball team.

⇒ y > 14

y represents age.

Find out more information about inequality here

https://brainly.com/question/20383699

#SPJ2

Help me please show your work I’ll give brainlest.

Answers

1. 0.8
2. 3.87298
3. ?
4. ?
5. ?
6. 5
7. True
8. ?
9.

Will give brainliest for both answers

Answers

1) 4[tex]\\c^{2}[/tex][tex]s^{12}[/tex]

2)729[tex]r^{18}[/tex]

1. 4c^2 s^12
2. 729r^18

plzzz help its really easy , im just really du mb

Answers

Answer:

36.8/2.8 = 16

Expression 1 = 368/28

Expression 2 = 3.68/.28

Step-by-step explanation:

If you move the decimal the same on both numbers of a division problem the answer stays the same.

Answer:

1. 32÷2, 64÷4

2. 16

Step-by-step explanation:

Expression 1:

32÷2=16, and 64÷4=16.

Expression 2:

Change the divisor 2.3 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.

We then have the equations:

368 ÷ 23 = 16

and therefore:

36.8 ÷ 2.3 = 16

Both calculated to 0 decimal places.

Name this Solid

pentagonal prism
pentagonal pyramid
hexagonal prism
hexagonal pyramid

Answers

Answer:

hexagonal pyramid

Step-by-step explanation:

i think its this but otherwise pay attention in class

the answer is hexagonal pyramaid !

could someone please help me out with this question

Answers

Answer:

55%

Step-by-step explanation:

55% is the answer it’s online

Hello! So I have this homework due in 1 hour, can someone help?
( i’ll rate 5 star! )

Answers

a. Common Denominator = 8

[tex]\frac{1}{8\\}[/tex] * [tex]\frac{1}{1}[/tex] = [tex]\frac{1}{8}[/tex] /// [tex]\frac{1}{2}[/tex]*[tex]\frac{4}{4}[/tex]=[tex]\frac{4}{8}[/tex]

b. Common Denominator = 40

[tex]\frac{1}{8}[/tex] * [tex]\frac{5}{5}[/tex] =  [tex]\frac{5}{40}[/tex] ///  [tex]\frac{9}{5}[/tex] * [tex]\frac{8}{8}[/tex] =  [tex]\frac{72}{40}[/tex]  

c. Common Denominator = 24

[tex]\frac{1}{8}[/tex] * [tex]\frac{3}{3}[/tex] =  [tex]\frac{3}{24}[/tex] ///  [tex]\frac{11}{6}[/tex] * [tex]\frac{4}{4}[/tex] =  [tex]\frac{44}{24}[/tex]  

answer you need is 40.

I'm so fed up with Brainly but anyway help

Answers

Answer:

108-88 = 20

Step-by-step explanation:

I hope this is correct because the two interior angles give us the exterior angle

i need da answers please
:)

Answers

Answer:

Answer: 20%

To find the percentage of a fraction just do the top number divided by the bottom you get 0.2 and 0.2 is equal to 20% so 20% is the answer hope that helps!

Answer:

1/5 = 20%

Step-by-step explanation:

1/5 = 1 ÷ 5 obviously

So figure out 1 ÷ 5

Your answer would be 0.2

Now, when converting a number to a percent you would multiply it by 100

0.2 × 100 is

20%

I hope I helped! :)

A complex shape with measurements 11 inches, 6 inches, 6 inches, 11 inches. What is the perimeter of the shape? 44 inches 66 inches 121 inches 132 inches

Answers

Answer:

A. 44 inches

Step-by-step explanation:

1] Add the numbers given 6 + 6 + 11 + 11 = 34 (because you are trying to find the perimeter)

2] Subtract 6 from 11,  11 - 6 = 5

3] do the same to the top 11 - 6 = 5

4] then add the new numbers together along with the given ones. 6 + 6 + 11 + 11 + 5 + 5 = 44

Answer: A

Step-by-step explanation:

For a fundraiser, a committee decided to use a dice game. For the dice throwing game, you win twice the value of the number you roll. They want to charge enough for the game that they will actually make money on it for their organization. What amount do you suggest they charge? Why?

Answers

It would possibly be $40

If 30% of a number equals 8, find 90% of that number.

Answers

Answer:

8.88

Step-by-step explanation:

I believe it is 8.88 becuase this question is asking to find 90% pf that number.  

What do you need to do?

you have to make a proportion.

8/x 90/ 100

You would now cross multiply. 90* x = 90x 8*100= 800

the equation you would need is 90x = 800. divide them and you get 8.88.

ROUNDED: you get 9.

I believe this is correct sorry if it was incorrect.

anwser: 8.88



step by step explanation;

The area of the base of a shipping box is 312 square inches. If the height of this shipping box is 20 inches, what is the volume?

A. 6,240 in. cubed
B. 332 in. cubed
C. 292 in. cubed
D. 15.6 in. cubed

Answers

C would be the answer

pls help. quickly please

Answers

Answer:

10 months.

Step-by-step explanation:

1200 + 25x = 1450; x = 10

Melissa has 10 1/2 pounds of candy that she wants to share. If she divides the candy between herself and six friends, how many pounds of candy will each person get?

A. 1 1/2 pounds
b.3 pounds
c 73 1/2 pounds.
d 1 3/4 pounds
PLS HELP!!

Answers

Answer:

I think the answer is A

Step-by-step explanation:

Pease no links i would just like the answer ASAP


The volume of a right rectangular prism is 70 7/8 cubic feet and its base is a square with a side length of 4 1/2 feet. what is the height?

Answers

Answer:

7/2 feet

Step-by-step explanation:

Volume of Right Rectangular Prism: V = w * h * l

You are given the volume, and the base (which would include l and w)- and are told to find h.

70 7/8 cubic feet = 4 1/2 feet * h * 4 1/2 feet (simplify the right side)

70 7/8 cubic feet = 81/4 feet squared * h (divide both sides by 81/4)

7/2 feet = h

The height will be 7/2

A circle has a radius of 3 feet. Use 3.14 for π, and drag and drop the correct answers for each problem below.

A. What is the area of the circle?

B. What is the diameter of the circle?

C. What is the circumference of the circle?

Answers

Answer:

A. 28.27

B. 6ft

C. 18.85

Step-by-step explanation:

:)

don’t listen to the first answer it’s 18.84

Explain (in general) how you can use the table, graph, and equation to find the distance when t = 6 hours.

(Make sure you have a sentence for each representation.)
Also, stay tuned because I'm going to be asking more.

Answers

Answer:

Step-by-step explanation:

I would like a picture of the question

Find the missing side length of the right triangle
using the Pythagorean Theorem or PT converse.
A) 53 cm
B) 35 cm
C) 73 cm
D) 23 cm

Answers

the answer is A)53 cm

Answer:

a) 53

Step-by-step explanation:

28^2+45^2 is 2809

and when you square it

it equals to 53

A store that buys and sells used video games buys a game at a cost of ​$19 and sells it at a selling price of ​$23. Find the markup. Then find the percent markup.

Answers

Answer: $62.25

Step-by-step explanation:

The mark-up is $477.25 - 415 = $62.25

Your answer will be $62.25

5.2 times 9.3 times what equals 120.9 ?

Answers

Answer:

5.2x9.3x2.5=120.9

hope this helps have a great day :3 also can i get brainliest ty

Answer:

2.5

Explanation:

5.2×9.3×2.5=120.9

I got the answer by multiplyinh 5.2×9.3=48.36 then i divided 120.9 by 48.36 to get the answer which is 2.5

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