Karen says the functions f(×)=×+3 and g(×)= -×+7 intersect at x=2 is she correct

Answers

Answer 1

Answer:

Yes.

Step-by-step explanation:

To find the point of intersection we solve the system:

y = x + 3

y = -x + 7       Subtract:

0 = 2x - 4

2x = 4

x = 2.

She is correct.

Answer 2

Answer:

yes

Step-by-step explanation:

Given the 2 equations

y = x + 3 → (1)

y = - x + 7 → (2)

Substitute y = x + 3 into (2)

x + 3 = - x + 7 ( add x to both sides )

2x + 3 = 7 ( subtract 3 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Thus the functions intersect at x = 2


Related Questions

A zoologist is recording the loss of wolves in her state. She notes the number of wolves, w, in the state on January 1. One year later, there were 84 wolves in the state, which is 23 fewer wolves than were in the state a year earlier. What is the number of wolves in the state on January 1?

Which equation can be used to find the number of wolves in the state on January 1?


w + 23 = 84

w−23=84

w−84=−23

23−w=84

Answers

Answer:

w+23=84 is the answer for that problem because in order to find the answer u need to do the opposite of subtraction

Answer:

w - 23 = 84

Step-by-step explanation:

W is the amount of wolves they had in the state for the first year. If 84 wolves is 23 less than what they had originally you would be subtracting that amount to get 84.

Hope this helps

If x=−1 and y=−3, then 5(x2−7+y)=

Answers

Answer:

-60

Step-by-step explanation:

5(-1 times 2 -7 -3) = 60

The value of [tex]5(x^2-7+y)[/tex] at [tex]x=-1,y=-3[/tex] is [tex]-45[/tex].

Important information:

The given expression is [tex]5(x^2-7+y)[/tex].The given values are [tex]x=-1,y=-3[/tex].Value of expression:

Substitute [tex]x=-1,y=-3[/tex] in the given expression.

[tex]5((-1)^2-7+(-3))=5(1-7-3)[/tex]

[tex]5((-1)^2-7+(-3))=5(-9)[/tex]

[tex]5((-1)^2-7+(-3))=-45[/tex]

Therefore, the value of [tex]5(x^2-7+y)[/tex] at [tex]x=-1,y=-3[/tex] is [tex]-45[/tex].

Find out more about 'Value of expression' here:

https://brainly.com/question/556937

If Delta AGM sim Delta KXD , find the value of x.

Answers

Here’s all my work! Sorry my handwriting isn’t good

For ΔKXD, x = 21

Similar triangles:

"The triangles that have corresponding sides in proportion to each other and corresponding angles are equal."

For given question,

ΔAGM is similar to ΔKXD

This means,

[tex]\frac{AG}{KX} = \frac{GM}{XD} = \frac{AM}{KD}[/tex]

Consider,

⇒ [tex]\frac{AG}{KX} = \frac{GM}{XD}[/tex]

⇒ [tex]\frac{32}{x+3} = \frac{36}{x+6}[/tex]

⇒ [tex]32\times (x+6) = 36\times (x+3)[/tex]

⇒ [tex]32x+192=36x+108[/tex]

⇒ [tex]4x = 84[/tex]

x = 21

Learn more about similar triangles here:

https://brainly.com/question/14965331

#SPJ2

another frreeeeee point now i got 0 great

Answers

Answer:

THXXX

Step-by-step explanation:

Answer:

TY! :D

Step-by-step explanation:

lol

As a cold front moved in, the temperature dropped 3 degrees each hour for 6 hours. What was the total temperature change after the 6 hours?

Answers

Answer:18°

Step-by-step explanation:

6x3=18

Select all equivalent expressions from the list.

8(7x-6)

•15x-6
•56x-48
•56x-6
•8•7x-8•6

Answers

Answer:

It should be 56x-48 and (8*7)x-(8*6)

Step-by-step explanation:

help me pls ! if you do l give you the brainiest

Answers

Answer:

a) 3x-7y and -7y+3x

Hope it will help you......

Find factors of polynomial
A) 244 + 183
B) 4 + x
C) 82 − 56 + 7 − 49
plz answer properly
I will mark the person brainliest who answers properly

Answers

Step-by-step explanation:

the c is true

❤❤❤❤❤

what is the factored from for -2r-6 PLEASE HELP! WILL MARK BRAINLIEST

Answers

Answer:

-2(r+3)

Step-by-step explanation:

Answer:

i think it's the first one

K is between J and L. JK = 3x – 5, and KL = 2x + 1. IfJL = 16, what is JK?
A. 7
B. 8
C. 9
D. 13

Answers

Answer:

If JL = 16, we will get JK = 7

Option A is correct option.

Step-by-step explanation:

We are given:

K is between J and L

JK = 3x – 5, and KL = 2x + 1.

IfJL = 16, what is JK

We know that K is between J and L it means it divides JL into JK and KL equally or we can say that adding JK and KL we can get JL

So, We can write:

[tex]JL = JK + KL\\16=3x-5+2x+1[/tex]

Solving the expression we can find first value of x and then value of JK

[tex]16=3x-5+2x+1\\16=5x-4\\16+4=5x\\20=5x\\x=\frac{20}{5}\\x=4[/tex]

So, we get x = 4

Now, put the value of x in JK=3x-5 to get value of JK

[tex]JK = 3x-5\\JK=3(4)-5\\JK = 12-5\\JK=7[/tex]

So, if JL = 16, we will get JK = 7

Option A is correct option.

It took Sharon 1 hour and 45 minutes to pick 3 1/2 pounds of raspberries. At what unit rate did Sharon pick raspberries?

A. 1/2 pound per hour
B. 1 3/4 pounds per hour
C. 2 pounds per hour
D. 2 1/4 pounds per hour

Answers

Answer:2 pounds per hour

Step-by-step explanation:

I just did it

Answer:

2 pounds per hour

Step-by-step explanation:

Which of the following expression has a terminating decimal?

6556 divided by 55
9565 divided by 11
7986 divided by 18
4546 divided by 33​

Answers

Answer:

1.# = 119.2 2.# = 869.545454545 3.# = 443.66666666 4.# = 13501.3939394

Step-by-step explanation:

i don't know about the 2 one and 3 and 4 one that came up a very big number. I used a calculator though.exactly way you tired to tipe it in sorry it took so long to answer the problem!!!.

What is the opposite of 6.6

-6.8
6.8

Answers

Answer:

-6.6

Step-by-step explanation:

I don't really understand the question but I believe it is correct.

have a good day

6.7 is the answer u welcome

The owner of a candle store purchases his candies from a local distributor. The graph below shows the relationship between n, the number of candles ordered, and
C, the total cost of the candle order. What is the relationship between the total cost of the candle order, c, and the number of candles ordered,
A. c=2n
B. c=4n
C. c=1/4n
D. c=1/2n

Answers

Answer:c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

brainliest for the correct answer

Answers

Answer:

2250 m

Step-by-step explanation:

30 cm = 0.3 m

1 : 75  :: 0.3 : x

Product of extremes = product of means

1 *x = 75 * 0.30

   x = 75 * 0.30

 x = 22.5 m

Answer:

22.5 m

Step-by-step explanation:

Convert to meters

.3 / x = 1/75

multiply .3 by 75 to get 22.5 m

HELP ME 50 POINTS RN.

Answers

Answer:

the last one. hope I help u

Answer:

S<30

need explain that?

Can someone Help me I'm Stuck on these three Questions
Z+(-7)=-8
13=Z+18
12=T+3
Explain your answer
Thanks For the Help:)

Answers

Answer:

1.) z = -1

2.) z = -5

3.) t = 9

Step-by-step explanation:

z + (-7) = -8

=> add 7 to both sides

z = -1

13 = z + 18

=> subtract 18 from both sides

-5 = z

12 = t + 3

=> subtract 3 from both sides

9 = t

Which is a correct expansion of the following expression?

18(x – 3) – 26


A. 18x – 80

B. 18x + 80

C. 18x + 28

D. – 62x

Answers

Answer:

A. 18x – 80

Step-by-step explanation:

18(x - 3) - 26

18x - 54 - 26

18x – 80

The answer is a. 18x - 80

Because first you will expand the brackets, for this you will multiply everything that is outside the bracket to what’s inside (18 times x) which will give you 18x and (18 times -3) which will give you -54

Now your equation will be

18x -54 - 26

Next you will workout the liked terms with are -54 and -26, since they are both negative just add them together and keep the sign.

To get your final answer

18x -80

The bottle is completely full at 11:40 a.m.


Which statements help explain this result? Check all that apply.

The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes.
The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes.
The bottle was 1/2 full at 11:35 a.m. and more bacteria were added to fill the bottle.
Exponential growth involves a constant multiplicative rate of change.
Exponential growth involves a constant additive rate of change.

Answers

Answer:

A,B,D

Step-by-step explanation:

Answer:

A,B,D

Step-by-step explanation:

10. Pure Water Supply Co. distributes small cone shaped paper cups to dispense near water coolers. The diameter of each cup is 3 inches and the slant height of each cup is 3.5 inches. What is the approximate height of the cup? 3 in. ?​

Answers

Answer:

159.2cm

Step-by-step explanation:

The volume of cone is given by :-

Given: The diameter of paper cups = 8 cm

Thus, the radius of paper cup (r)=

The height of paper cup (h)= 9.5 cm

Now, the volume of paper cup will be :-

Hence, the  best approximation for the volume of the paper cup

159.2 cm hope this helps

Really need help on this math question! “Jill is draining her pool before winter arrives.
Initially the pool has 2000 gallons of water.
The pool is draining at a rate of 8 gallons per minute.
Write a function to model this situation.”

Answers

Answer:

f(x)=2000-8x

Step-by-step explanation:

2000 is initial amount that gets subtracted

8x is the amount of gallons being siphoned out, where x is t, or minutes.

What is 149/15 as a mixed number?

Answers

Answer:

its an improper

mixed : 9 14/15

Step-by-step explanation:

its a mixed number if the number at the tops in the limit and there is a number at the side that represents whole number(s)

Answer:

the answer is 9 14/15

Step-by-step explanation:

Step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 149 by 15 and keep only what is to the left of the decimal point:

149 / 15 = 9.9333 = 9

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

149 - (15 x 9) = 14

Step 3 - Get Solution

Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 149/15 as a mixed number is:

Sharon kicks a ball from the ground into the air with an upward velocity of 64 feet per second. The function h = -16t2 + 64t models the height h, in feet, of the ball at time t, in seconds. When will the ball reach the ground again?

Answers

Step-by-step explanation:

h = 64t - 16t².

When the ball reaches the ground, h = 0.

Therefore 64t - 16t² = 0, 16t(4 - t) = 0, t = 0 or t = 4.

Therefore the ball reaches the ground 'again' at t = 4.

t=4 thank me later :)

What is the solution to the system of equations below?
y=-x+6 and y-x-6

O no solution
O infinitely many solutions
O (-18, 12)
O (18, 0)

Answers

Answer:

O (-18, 12)

Step-by-step explanation:

brainiest plz

SOMEONE HELP PLZ!!!!!! ​

Answers

Answer:b

Step-by-step explanation:

Each of the numbers 0, 2, 4, 6, 8, 10, 12, and 14 is written on a separate sheet of paper and placed into a box. One piece of paper is selected at random. Find the probability that the piece of paper selected contains the number 8 or a number less than 12.

Answers

Answer:

For the second, all numbers less than 12, that would be 87.5%

Step-by-step explanation:

There are eight numbers. 100 divided by 8 is 12.5. 12.5 multiplied by 7 is 87.5.

Select the correct answer.


Which image shows the correct position of on the number line?

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

Answers

Answer:

i think A,B,C

Step-by-step explanation:

Answer:

yeah ABC

Step-by-step explanation:

i wrong this is bs if im wromg

4. How do we divide polynomials using synthetic division?

Answers

Answer:

here

Step-by-step explanation:

Step 1 : set the denominator equal to zero to find the number to put in the division box. Next, make sure the numerator is written in descending order.

Step 2 : Once the problem is set up correctly, bring the leading coefficient (first number) straight down.

Step 3 : Multiply the number in the division box with the number you brought down and put the result in the next column.

Step 4 : Add the two numbers together and write the result in the bottom of the row.

Step 5 : Repeat steps 3 and 4 until you reach the end of the problem.

Step 6 : Write the final answer. The final answer is made up of the numbers in the bottom row with the last number being the remainder and the remainder must be written as a fraction.

which COULD be the new coordinates of point D?

Answers

Answer:

It is B

Step-by-step explanation:

4, -4 is longer than 2 units

-2, -2 is longer than 2 units

-1, -4 is longer than 2 units

it said in the question how do we solve of the side b​

Answers

Is this your final are you taking a test
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