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

Meredith earns 17.00 per hours at her job. She works 40 hours Per week and gets paid every two weeks. Meredith pays 1/4 of each paycheck in taxes. If Meredith earns a 10% raise in her hourly pay how much more will she pay in taxes

Answers

Answer:

34

Step-by-step explanation:

Amount earned per hour = 17.00

Total hours worked = 40 hours

per week

Total amount earned in two weeks = 2(17.00 × 40)

= 2(680)

= 1,360

Tax = 1/4 of her paycheck

= 1/4 × 1,360

= 1,360/4

= 340

If Meredith earns a 10% raise in her hourly pay

Amount earned per hour = 10% of 17.00 + 17.00

= 0.1 × 17.00 + 17.00

= 1.7 + 17.00

= 18.7

Total hours worked = 40 hours

per week

Total amount earned in two weeks = 2(18.7 × 40)

= 2(748)

= 1,496

Tax = 1/4 of her paycheck

= 1/4 × 1,496

= 1,496/4

= 374

how much more will she pay in taxes

= 374 - 340

= 34

convert 1/15 into a decimal correct to 2 decimal places ​

Answers

Answer:

[tex]\frac{1}{15} = 0.\overline{66}[/tex]

Step-by-step explanation:

We proceed to show the procedure to calculate the given fraction into a decimal form:

1) Since numerator is less than denominator, the integer component of the decimal number is zero:

[tex]\frac{1}{15} = 0.xx[/tex]

2) We multiply the numerator by 10 and find the tenth digit:

[tex]\frac{10}{15} = 0[/tex]

Then,

[tex]\frac{1}{15} = 0.0xx[/tex]

3) We multiply the fraction in 2) by 10 and find the hundredth digit:

[tex]\frac{100}{15} = 6[/tex]

Then,

[tex]\frac{1}{15} = 0.66x[/tex]

And the remainder is:

[tex]r = 100-15\times 6[/tex]

[tex]r = 10[/tex]

4) We multiply the remainder by 10 and divide this result by the denominator to determine the thousandth digit:

[tex]\frac{100}{15} = 6[/tex]

Then,

[tex]\frac{1}{15} = 0.666[/tex]

This question asks us to write a decimal correct to 2 decimal places, which has the characteristic that is infinite periodical decimal. Then, the result correct to 2 decimal places is:

[tex]\frac{1}{15} = 0.\overline{66}[/tex]

Which of these ratios is not a rate?
1. 90 words per minute
2. 8 cats per 12 dogs
3. $8 per hour
4. 25 miles per gallon

Answers

Answer:

i think it is B

Step-by-step explanation:

because that one isn't really a rate as much as the other ones are, its more of a ratio, i'm bad at explaining things, hope its correct :D

Question 4, I do not understand how they figure It out. Please explain

Answers

5/8 minus 2/5 equals 9/40

Answer:

I saw this hope it helps

Hey I could really use some help.

In baseball, it is 90 feet from home to first base. Knowing this, what would the distance from
home plate to third base be? How did you determine your answer?

Answers

Answer:

270 feet.

Step-by-step explanation:

90 multiplied by three is 270. And a baseball field is square (obvi.) which means from one base to the next would still be 90.

Hope this helps!

Answer:

well 270 if you run all around. but 90 if going straight from home to third.

Step-by-step explanation:

the lines all around are congruent determined by the dashes in the middle so each line is 90 feet, so multiplied by three, you get 270 if running all around.

Which function is negative for the interval [–1, 1]? On a coordinate plane, a curved line with a minimum value of (negative 1, negative 2), crosses the x-axis at (negative 2.5, 0) and (0.5, 0), and the y-axis at (0, negative 1). On a coordinate plane, a curved line with a minimum value of (0, negative 2), crosses the x-axis at (negative 1.5, 0) and (1.5, 0). On a coordinate plane, a curved line with a maximum value of (0, 2) and a minimum value of (1.5, negative 2.75), crosses the x-axis at (negative 0.6, 0) and (0.6, 0). On a coordinate plane, a curved line with a maximum value of (negative 1.25, 4) and a minimum value of (1.5, negative 3.5), crosses the x-axis at (negative 1.75, 0), (0.75, 0), and (1.75, 0), and crosses the y-axis at (0, 2).

Answers

Answer:

As the x-values go to zero, the function's values go to positive infinity.

Step-by-step explanation:

also answer B

Answer: b

Step-by-step explanation:

write 11:49 A.M in 24-hour time format. Please PLEASE someone help me!!

Answers

Answer:

11:49 A.M

Step-by-step explanation:

It is still 11:49 A.M in 24 hour time. It is the first eleven and won't be different.

Good luck with your studies.

Answer:

11:49

Step-by-step explanation:

it would be the same i think. I have a list of different times for the 24 hour time format

A bag of 8 apples costs $1.50 at Sam's Orchard. a. At this same
rate, how much would 18 apples cost?
Please help

Answers

Answer:

$3.38

Step-by-step explanation:

8/1.5=18/x

18*1.5/8

3.375

or 3.38

Hope this helps plz hit the crown :D

Answer:

18=3.38

Step-by-step explanation:

Solve (x+1)2 = –5.
Question 16 options:

A)

No real solution

B)

x = ±1.75

C)

x = ±5

D)

x = ±1

Answers

Answer:

A) no real solutions

Step-by-step explanation:

No real solution. in order to x+1 by itself you must square root both sides. that would mean square rooting -5 which creates an imaginary number. so there are no real solutions. Also cause even if x was a negative, when you'd square it, you'll always get a positive.

The lunch lady has 3 pounds of lasagna. If she makes 1/6 pound servings using this amount of lasagna, how many servings can she make?

Answers

Answer:

She can make 18 servings.

Step-by-step explanation:

We can simply multiply 3 by 6 to get the number of servings.

This is the same as dividing 3 by 1/6 since dividing is the same as multiplying the reciprocal.

Help?????????? Please

Answers

Answer: 2 cups of water to 8 cups of flour

Step-by-step explanation:

Answer:

2 cups of water to 8 cups of flour

Step-by-step explanation:

Solve the system of equations.

2x-3x=21 and -6x+2y=7

Answers

Answer:

(-21, -59.5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

2x - 3x = 21

-6x + 2y = 7

Step 2: Solve for x

2x - 3x = 21

Combine like terms:                    -x = 21Isolate x:                                       x = -21

Step 3: Solve for y

Define equation:                    -6x + 2y = 7Substitute in x:                       -6(-21) + 2y = 7Multiply:                                  126 + 2y = 7Isolate y term:                         2y = -119Isolate y:                                  y = -59.5

Choose the correct answer to 96 divided by 6
1. 15 R6
2. 17
3. 16
4. 15
^
^
^
question

Answers

Answer:

correct answer is 16. hope that helps

The right ( correct answer to the question) is 16

I’ll give brainliest

9x^2+3x^3

Answers

Answer:

9x² + 3x³ = 3x²(3 + x)

Step-by-step explanation:

9x² + 3x³ = 3x²(3 + x)

Answer:

3x²(3 + x)

Step-by-step explanation:

9x² + 3x³

3x²(3 + x)

I hope this helps

Write a linear function f with the given values.

f(x) =

Answers

Answer:

f(x) = -2x + 1

Step-by-step explanation:

Can someone answer these pls!! I will be glad to have you answer them !! I need this done by tomorrow!

Answers

Answer:

7/8=0.875   7/20=0.35   18/20=0.9    7/8=0.875    68/50=1.36     25/20=1.25 26/25=1.04   11/10=1.1     11/16=0.6875  9/16=0.5625  33/40=0.825  23/40=0.575   14/10=1.4     29/25=1.16  39/40=0.975

Step-by-step explanation:

At a local restaurant, 40% of the lunch customers order a hamburger, 70% of the lunch customers order French fries, and 30% of lunch customers order both a hamburger and French fries. If a lunch customer is randomly selected from this restaurant, what is the probability that the customer order fries if we know they ordered a hamburger?


0.40
0.40

0.43


0.75


0.30

Answers

Answer:

hola anyone got tacos

Step-by-step explanation:

The probability that a customer orders fries given that the customer orders hamburger is 0.75

To solve this, we make use of the following representations

A represents the event that a lunch customer orders a hamburgerB represents the event that a lunch customer orders a French fries

So, we have:

[tex]P(A) = 40\%[/tex]

[tex]P(B) = 70\%[/tex]

[tex]P(A\ n\ B) = 30\%[/tex]

The probability that a customer orders fries given that the customer orders hamburger is calculated as:

[tex]P(B | A) =\frac{P(A\ n B)}{P(A)}[/tex]

So, we have:

[tex]P(B | A) =\frac{30\%}{40\%}[/tex]

[tex]P(B | A) =0.75[/tex]

Hence, the probability that a customer orders fries given that the customer orders hamburger is 0.75

Read more about probabilities at:

https://brainly.com/question/15246027

i need these from least to greatest A.11^4/11^11 B.1/11^-4 C.(11^-3)^-3 D.11^5•11^2


this is for 30 points

Answers

Answer:

[tex] \frac{ {11}^{4} }{ {11}^{11} } < \frac{1}{ {11}^{ - 4} } < {11}^{5} . {11}^{2} < ( {11}^{ - 3} )^{ - 3} [/tex]

Step-by-step explanation:

[tex]A) \frac{ {11}^{4} }{ {11}^{11} } = {11}^{4 - 11} = {11}^{ - 7} \\ \\ B)\frac{1}{ {11}^{ - 4} } = {11}^{4} \\ \\C) ( {11}^{ - 3} )^{ - 3} = {11}^{ - 3( - 3)} = {11}^{9} \\ \\ D){11}^{5} . {11}^{2} = {11}^{5 + 2} = {11}^{7} \\ \\ \because \: {11}^{ - 7} < {11}^{4} < {11}^{7} < {11}^{9} \\ \\ \therefore \: \frac{ {11}^{4} }{ {11}^{11} } < \frac{1}{ {11}^{ - 4} } < {11}^{5} . {11}^{2} < ( {11}^{ - 3} )^{ - 3} [/tex]

Answer:

A.11^4/11^11

Step-by-step explanation:

Order the set of integers from greatest to least. {6, 17, -20, 15, -19, 26}

Answers

26, 17, 15, 6, -19, -20

Find an explicit formula for the arithmetic sequence -15, 13, 31, 49

Answers

Answer:

No solution (read below)

Step-by-step explanation:

Formula:

a_n = a_1 + (n-1)d

N is the term #

D is the common difference

First, let's find the common difference.

13 - (-15) = 28

Let's see if that checks out.

31-13 = 18

49 - 31 = 18

18 is not equal to 28

Since there is no common difference you cannot find the equation.

Please tell me if you made a typo and comment on my answer, then I can help you find the answer

Answer the question below?

Answers

the figure is regular quaidlater

the sum of all interior angle is 360

measure of angle = 360/4

= 90

so the exterior angle is 90 ( by linear pair)

4.06 = 0.19 = 0.29 = 0.86 = 19% 29% 38% 332% 247% 293% 2.98 = 406% 0.81 = 353% 2.93 = 22% 4.61 = 86% 6% 81% 483% 41% 422% 461% 3.35 = 298% 0.68 = 68% FINISH 55% 0.38 = 424% 71% 413% 315% 26% 88% 92% 2.4 = 335% 0.74 = 74% 3.32 = 3.53 = 172% 248% 240% 125% 28%

Answers

Answer:

what are you asking though

They will rest after they hike `2` miles. Then they will hike the remaining `1.75` miles to the lookout. The trail the hikers will use to return from the lookout is `0.5` miles shorter than the trail they will use to go to the lookout. Each hiker will bring `0.25` gallons of water for each mile to and from the lookout. What is the total amount of water each hiker will need to carry?

Answers

Answer:

1.75 gallons

Step-by-step explanation:

First, we need to calculate how far the hike is going up the trail. They first hike 2 miles and then another 1.75 miles after resting so...

2 + 1.75 = 3.75 miles

The trail is 3.75 miles long, the question states that the return path is 0.5 miles shorter, therefore...

3.75 - 0.5 = 3.25 miles

Leaving us with a total hiking distance of

3.75 + 3.25 = 7 miles.

Since each hiker will carry 0.25 gallons for each mile we simply need to multiply this amount by the total number of miles in the hike.

7 * 0.25 = 1.75 gallons

Finally, we can see that each hiker will carry a total of 1.75 gallons of water for the entire hike.

the green shape is a dilation of the black shape.what is the scale factor of the dilation? ​

Answers

Answer:  5

Step-by-step explanation:

Scale factor = [tex]\dfrac{\text{ side length of image}}{\text{Side-length of original figure}}[/tex]

Given: Black triangle ( original) having perpendicular with length 4 units.  [2 blocks above and 2 boxes below the x-axis ]

Green triangle ( image) having corresponding side as 20 units  [10 blocks above and 10 boxes below the x-axis ].

Scale factor of dilation = [tex]\dfrac{20}{4}=5[/tex]

Hence, the scale factor of the dilation = 5

please help, im almost out of time​

Answers

Answer:18

Step-by-step explanation:

who is galactus devourer of worlds

Answers

Answer:

Galactus is far and away the more powerful villain in Marvel lore. They don't call him the Devourer of Worlds for nothing. He's a cosmic villain who literally eats planets to sustain himself. He first appeared in Marvel's Fantastic Four comics in the late 60's and is still one of the brand's toughest villains.

Step-by-step explanation:

What is the length of the hypotenuse? 1. 52 + 122 =c2 2. 25 + 144 =c2 3. 169=c2 c=

Answers

Answer:

Step-by-step explanation:

In order to solve this question we need to know that [tex]a^{2} + b^{2} = c^{2}[/tex] (were a and b are the legs of a right angle triangle and c is the hypotenuse). Now since we are given [tex]a^{2}[/tex] and [tex]b^{2}[/tex],we can solve for hypotenuse in each case. So we do......

1) 52 + 122 = [tex]c^{2}[/tex]

  174 = [tex]c^{2}[/tex]

  [tex]\sqrt{174} =c[/tex]

  13.190905 ≈ c

2) 25 + 144 = [tex]c^{2}[/tex]

   169 = [tex]c^{2}[/tex]

   [tex]\sqrt{169} = c[/tex]

   [tex]13 = c[/tex]

3) 169 = [tex]c^{2}[/tex]

   [tex]\sqrt{169} = c[/tex]

   [tex]13 = c[/tex]

Hope this helps :)

The length of the hypotenuse 13 units.

What is a hypotenuse?

A hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.

Given that, A right triangle has side lengths 5 inches and 12 inches.

Using Pythagoras theorem,

h = √5²+12²

h = √25+144

h = √169

h = 13

Hence, the length of the hypotenuse 13 units.

For more references on hypotenuse, click;

https://brainly.com/question/29407794

#SPJ6

Can somebody plz help answer all them correctly thanks!

WILL MARK BRAINLIEST WHOEVER ANSWERRSS FIRST :DD

Answers

Answer:

7 would be 56 in both boxes.

8 would be 75 in both of the boxes.

9 would be 3 in both of the boxes.

10 would be 60 in both of the boxes.

11 would be 62 in both boxes.

and 12 would be 5 in both boxes.

Step-by-step explanation:

If you need an explanation you can message me and I'll break it down for you

A unit rate is a rate in which

Answers

Answer:

A unit rate is a rate with 1 in the denominator

Step-by-step explanation:

326 ÷ 53 Then, check using multiplacation.

Answers

Answer:

 the answer is 6,150

Step-by-step explanation:

Sorry if im wrong

Answer:

it is 6.150

Step-by-step explanation:

divide 360 its groups of 53 and you get 6.150

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