The solutions to the equation f(x) = g(x) are -2 and 1. Iff and g are graphed on the same coordinate plane, which statement must be true?
The functions will intersect at x = -2 and x = 1.
The functions will intersect at y = -2 and y = 1.
Both functions will have y-intercepts at 2 and 1.
Both functions will have x-intercepts at -2 and 1.

Answers

Answer 1

Answer:

The correct option is;

The function will intersect at x = -2 and x = 1

Step-by-step explanation:

The question parameters are

The functions in the question are f(x) and g(x)

The solution to the equation f(x) = g(x) are -2, and 1

Given that the equations, f(x) and g(x), are both given in values of x, their solution will be the x values that satisfies both functions

Therefore, the functions will intersect (have the same values of f(x) and g(x)) at the points of the solutions, which are given as x = -2, and x = 1

Answer 2

The statement that should be true is the function will intersect at x = -2 and x = 1.

Given that,

The solutions to the equation f(x) = g(x) are -2 and 1. If f and g are graphed on the same coordinate plane.

Based on the above information, the following information should be considered:

As the solutions represent x values that satisfied the both functions. Also, the functions should intersect that contains the same value i.e. x = -2 and x = 1.

Therefore, we can conclude that the first option is correct.

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Related Questions

Joshua went kayaking. It cost him $ 15 to rent the kayak. It also cost $ 6 for each hour spent on the lake kayaking. Joshua spent 2 $\frac{1}{2}$
1
2​​ hours on the lake. How much was his total bill for the kayak rental and hours kayaking on the lake?

Answers

Step-by-step explanation:

The total bill will be the sum of the rent and the cost for the total time spent.

$15 + $6 * 2.5

$15 + $15

$30

Solve the proportion

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b= 1/8
just put the y on the side and the numbers on the other side and that’s it

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Answer:

The picture cuts off the rest of he question please take another.

Step-by-step explanation:

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Answer:

d

Step-by-step explanation:

Need help ASAP! Tysm will mark brainliest

Answers

Answer:

80 inches

Step-by-step explanation:

Formula: 2l + 2w = perimeter

Use the table to answer the following question. What is an equation that describes this relationship?

Answers

The answer is A as you use x to get y using the equation y = 8-7x e.g 8 - 7 X 0 = 8 and 8 - 7 X 1 =

The equation that describes the relationship is option A. y = 8 - 7x.

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Given are the values of x and y.

x : 0  1  2  3

y : 8  1  -6  -13

Equation of a line can be written as y = mx + d in slope intercept form.

m is the slope and d is the intercept along Y axis.

Slope of a line with two points (x, y) and (x', y') is,

Slope = (y' - y) / (x' - x)

Consider the points (0, 8) and (1, 1).

Slope, m = (1 - 8) / (1 - 0) = -7 / 1 = -7

Since we already have the point (0, 8), y intercept, d = 8.

Substituting these, we get the equation of line as,

y = -7x + 8 or

y = 8 - 7x

Hence the equation of the line is y = 8 - 7x.

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Hillary is sharing a box of candy with her friends. If there are b pieces of candy in the box being split between 5 people, which expression shows how many pieces of candy each person should get?

Answers

Answer: C

Step-by-step explanation:

Basically you have your candy and you split it up, which is dividing, and give the groups of candy to your friends.

For lunch, a restaurant discounts prices on their menu by 15% and then applies a
10% sales tax to the discounted price. If Jade pays $18.70 after the discount and
sales tax are applied, what was the price of Jade's lunch on the menu?
A $17.48
B $19.35
C $19.68
D $20.00

Answers

Answer:

It would be D

Step-by-step explanation:

If you do the problem backward and apply the discount and taxes to 20$, then you get 18.70

The price of Jade's lunch on the menu will be;

⇒ $17.05

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

For lunch, a restaurant discounts prices on their menu by 15% and then applies a 10% sales tax to the discounted price.

And, Jade pays $18.70 after the discount and sales tax are applied.

Now,

Let the price of Jade's lunch on the menu = x

Since, A restaurant discounts prices on their menu by 15%.

Hence, The discounted price = x - 15x/100

And, Then applies a 10% sales tax to the discounted price.

Hence, The price = 10% of (x - 15x/100) + x

                           = 10/100 × 85x/100 + x

                           = 850x/10000 + x

                           = 17x/200 + x

                           = 217x/200

Since, Jade pays $18.70 after the discount and sales tax are applied.

Hence, We get;

⇒ 217x / 200 = 18.50

⇒ x = $17.05

Thus, The price of Jade's lunch on the menu will be;

⇒ $17.05

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PLEASEEEEE HELPPPPP ASAPPPP

Answers

Answer:

y=4/-5x+2

Step-by-step explanation:

Slope is rise over run so if you start at one of the points given and go up 4 and to the left 5 you get the next point. Y-intercept is 2 where the line crosses the y line.

HELP ME ASAP!! I WILL TRY TO MARK YOU

Answers

Answer:

d

Step-by-step explanation:

I divided it and looked at your answers

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Ratio Conversion Table
mile : yard 1 : 1,760
yard : foot 1 : 3
foot : inch 1 : 12

Using the conversion table, match the equivalent measurements.

2 miles
0.2 miles
372 feet
348 inches
124 yards
352 yards
1,016 yards
10,560 feet
29 feet
PLEASE HELP WILL GIVE TOP MARKS TO FIRST ANSWERER!

Answers

The correct choices are 29 feet = 348 inches, 352 yards = 0.2 miles, 372 feet = 124 yards, and 2 miles = 10560 feet.

What is unit conversion?

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

We have the ratio conversion table given.

mile: yard = 1: 1,760

yard: foot = 1 : 3

foot: inch = 1: 12

From the given conversion table:

29 feet = 29×12 inches

29 feet = 348 inches

Similarly,

352 yards = 0.2 miles   (1 yard = 1,760 miles)

372 feet = 124 yards

2 miles = 10560 feet  

Thus, the correct choices are 29 feet = 348 inches, 352 yards = 0.2 miles, 372 feet = 124 yards, and 2 miles = 10560 feet.

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What is the answer for number 1?

Answers

Answer:

A

Step-by-step explanation:

x only can have 1 function

Wyatt is a high school basketball player. In a particular game, he made some three point shots and some two point shots. Wyatt made a total of 12 shots altogether and scored a total of 32 points. Write a system of equations that could be used to determine the number of three point shots Wyatt made and the number of two point shots he made. Define the variables that you use to write the system.

Answers

Let x= the number of three point shots made}

Let y= the number of two point shots made}

3x+2y=32  first eqn

y=12-x second eqn

A system of equations for the number of three point and two point shots Wyatt made is:

[tex]3x+2y=32 [/tex]  

[tex]x+y=12[/tex]  

Let the three point shots be c.Let the two point shots be b.

Given the following data:

Total shots = 12 shots.Total points = 32 points.

What is a system of equations?

A system of equations refers to an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).

Translating the word problem into an algebraic expression, we have;

For the number of three point and two point shots Wyatt made:

[tex]3x+2y=32 [/tex]    ...equation 1.

[tex]x+y=12[/tex]     ...equation 2.

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Please help :))) and explain how to do it if you can but if you can’t it’s fine

Answers

Step-by-step explanation:

yfttuo yfttuo p9ntknknt8oy9uy

Write an equation of the line shown; (-2,-2), (2,2)

Answers

Answer:

Hi there! :)

Step-by-step explanation:

Lesson: Slope/ and slope-intercept form

Slope is 0

Final answer is 0

*The answer must have a positive sign.*

I hope this helps you!

Have a nice day! :)

Three times the sum of four and a number is twice the number.

Answers

Answer:

24

Step-by-step explanation:

Answer:

Step-by-step explanation:

Three times four = 12

And if the second number is 2 then

12 x 2 = 24 which is twice of 12

Help me pleaseeee!!!
Solve the equation -3x^2+2x+4= -x-3 by writing a linear-quadratic system and solving using the intersection feature of a graphing calculator. Round to the nearest hundredth
A. x= -2.44 and x=3.12
B. x=-1.63 and x=4.44
C. x=-1.11 and x=2.11
D. x=-2.61 and x=0.42

Answers

Answer: i did c when i had the same question but it was just a guess

Step-by-step explanation:

The solution of an equation is x= -1.11 and x = 2.11.

What is a Quadratic equation?

A polynomial equation of the second degree is quadratic, which means that at least one of its terms must be squared. Quadratic equations are another name for it. The quadratic equation generally looks like this:

ax² + bx + c = 0, where x is a numerical coefficient and a, b, and c are unknown variables.

Given equation -3x² + 2x + 4 = -x - 3

simplify the equation we get

3x² - 2x - 4 -x -3 = 0

3x² - 3x - 7 = 0

The equation is solved by the Quadratic formula

x =  (-b ± [tex]\sqrt{b^{2} - 4ac }[/tex])/2a

a = 3, b = -3, c = -7

x = [-(-3) ± [tex]\sqrt{(-3)^{2} - 4(3)(-7)}[/tex]]/2(3)

x = (3 ± 9.643)/6

taking positive sign

x = 12.643/6 = 2.1072 = 2.11

taking negative sign

x = -6.643/6 = -1.1072 = -1.11

Hence the values of x are -1.11 and 2.11

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help with this please i suck at math

Answers

Answer:

You're asked to find the cube root of 125.

That is,to cancel the power of y, you'd have to cube root both sides.

answer is 5

8/0
Undefined, positive, negative, zero ?

Answers

Answer:

undefined

Step-by-step explanation:

Jack works after school. Each day he is paid a set amount, plus an hourly wage.

Hours 1 1.5 2 2.5 3
Pay 18 23 28 33 38

Assume Jack works from 2:30 P.M. to 7:00 P.M. Using the function f(x) = 10x + 8, how much would he earn?
A. $33
B. $35.50
C. $45
D. $53

Answers

Answer:

B.35.50

Step-by-step explanation:

Can you please answer questions 3 and 7​

Answers

Answer:

3 and 7 of what?

Step-by-step explanation:

can somebody help me out

Answers

Answer:

dufenschmertz evil incorporated...

Step-by-step explanation:

after hours ;)

what's the answer to 7x-x

Answers

Answer:

6x

Step-by-step explanation:

7x - x

X by itself is the same thing as 1x.

So, if we rewrite the equation using 1x instead of just x:

7x - 1x

Now, we can subtract like we normally would.

7x - 1x = 6x

Find the slope of the line that passes through (2,2) and (9,10)​

Answers

Answer: you just take the first set of points and subtract the second from it.

Step-by-step explanation: 2-9=-7 and 2-10=-8

the new set would be (-7,-8) hope this helps

2037 + 135.5x = 5560 what is x?

Answers

Answer:

x=26

Step-by-step explanation:

Which expressions are equal to 763? i just dont want to do it


189 + 674

247 + 516

628 + 145

435 + 328

Answers

247 + 516 and 435 + 328 :)

its showing up as weird stuff so the question is below
Which expression is equivalent to

Answers

Answer:

A 84x-16y-10.6

Step-by-step explanation:

Answer:

1. 84x-16y-10.6

Step-by-step explanation:

2(14x-3y+28x+12.2-5y-17.5) = 2(42x-8y-5.3)

Add up like terms.

2(42x-8y-5.3) = 84x-16y-10.6

Expand.

PLEASE HELP!


Compare the two expressions using <, >, or =. For each, explain how you can determine the answer without calculating.


1. 100 x 8 ____ 25 x (4 x 7)


2. 36 elevens ____ 40 elevens - 3 elevens

3. 12 x 24 ____ 6 twenty fours, doubled


Answers

Answer:

1. >

2. <

3. =

Step-by-step explanation:

100x8=800, 4*7=28, multiplied by 25 is 700, therefore making 800 greater than 700. Whenever comparing two multiplication problems, multiplying large numbers produces large results, so whichever starts larger will have an end result that is larger. 100 was large and it is smaller to its counter 25.

36 elevens really means 11x36, which is 396. 40 elevens really means 40x11, which is 440 minus 11x3 which is 407. 407 is greater than 396. The same logic applies here as the previous answer, the only difference is that the removal of three elevens is still larger than 36 elevens in this case.

12x24=288, 6x24=144, doubled makes it 288. In this case, the six is half of the twelve to begin with and then is made up for later by the fact that it is doubled.

When I solve math questions like these, I ignore the fact that it doesn't want a mathematical answer, do the math anyway and pull logic from it. (If your teacher checks, do it on a separate piece of paper, and then toss it.)

A man is standing next to a 24 foot tree. the man is 7 feet tall with a shadow of 3 feet. how long is the shadow of the tree

Answers

Answer:

First we divide 24 by 7.

24÷7=3.42

now we multiply 3.42 by 3 since that was the length of the mans shadow

3.42x3=10.26

The trees shadow is 10.26 feet long.

By the way, that is a very tall man

Step-by-step explanation:

A shop owner offered a 20% discount off the regular price of a mirror. The amount of the discount is $3.
What is the regular price of the mirror?
A
$15
B.
$6
C.
$9
D.
$18

Answers

Answer:

A. 15

Step-by-step explanation:

Multiply .2 by each value you have.

So 0.2 * 15=3

0.2 * 6=1.2

0.2 * 9=1.8

0.2 * 18=3.6

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