The solutions to the equation f(x) = g(x) are -2 and 1. If f and g are graphed on the same coordinate plane, which statement must be true?

A.the functions will intersect at x = -2 and x=1
B. The functions will intersect at y = -2 and y = 1
C. Both functions will have y-intercepts at -2 and 1
D. Both functions will have x- intercepts at -2 and 1

Answers

Answer 1

Answer:

c

they will both have to intersect since you have a negative and positive number. Hope it helps.

Step-by-step explanation:

Answer 2

The functions will intersect at y = -2 and y = 1. Option B is correct.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
The solutions to the equation f(x) = g(x) are -2 and 1.
Solution of the equation state the definition that, when two functions intersect each other, is the solution of the functions. So as mentioned both functions as f(x) = g(x) gives y = -2 and y = 1, implying that The functions will intersect at y = -2 and y = 1.

Learn more about function here:

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Related Questions

The figure shows three quadrilaterals on a coordinate grid: A coordinate plane is shown. Quadrilateral D has sides measuring 3 units and 1 unit. Quadrilateral F has sides measuring 3 units and 1 unit. Quadrilateral E has sides measuring 2 units and 6 units. Which of the following statements is true about the three quadrilaterals? (4 points) a D and E are similar but not congruent. b E and F are similar and congruent. c D and E are similar and congruent. d F and D are similar but not congruent.

Answers

This doesn’t really make sense hun , sorry

The cost of a cab ride is $4.25 plus $0.35 per mile. How many miles did a person travel if the cost of the cab ride was $14.75?

A. 30 miles

B. 35 miles

C. 42 miles

D. 54 miles

Answers

A. 30 miles


step by step explanation: 14.75-4.25 (one time fee)
14.75-4.25=10.5
10.5 divided by 0.35 is 30


therefore the answer is A, 30 miles

Answec 42

Step-by-step explanation:

use a calculater and time 0.35 by each answerd and then you get your annswer

Sandra brought 3 pounds of sweet potatoes for $4.41. What is the cost per pound of the sweet potatoes.

Answers

Answer:

$1.57

Step-by-step explanation:

Answer:

$1.47 per pound of the sweet potatoes

Step-by-step explanation:

Set up a proportion: [tex]\frac{3}{4.41} = \frac{1}{x}[/tex]  Cross multiply, then divide: 1 × 4.41 = 4.41, 4.41 ÷ 3 = 1.47

I hope this helps!

A laptop battery has 82 power after 1 hour of use and 46 power after 3 hours of use

Answers

Answer:

18 hours

Step-by-step explanation:

18 x 4 = 54 .

t

t

t

t

t

will mark brainliest!!

Answers

Answer:

175

Step-by-step explanation:

90 + 85 = 175

180 - 175 = 5

180 - 5 = 175 = x

~theLocoCoco

How can I put this into an equation?

Answers

Answer:

$65m + 125 = 1165

Step-by-step explanation:

Which set of ordered pairs does not represent a function?
O {(4,4), (3, -8), (7,-6), (-5, -3)}
o {(-6,6), (8, 2), (8, -1), (3,3)}
o {(-4,-6), (-9, -7), (6, 7), (0, -6)}
o {(9, 5), (-5, -5), (0, 9), (8,3)}

Answers

Answer:

The second choices is the answer

{(-6,6), (8, 2), (8, -1), (3,3)} as you can see there's a repeating value of x or the Domain which is the 8.

Which best describes the classification for the
following number set?
{-4 1/2, -1, 3/4, 3.5, 13, 24 5/8}
I. Rational numbers
II. Integers
III. Whole numbers
I only
l and I| only
| and Ill only
I, II, and I||

Answers

Answer:

I only

Step-by-step explanation:

All numbers are rational.

Not all numbers are whole or integers.

Answer: I only

The sum of a whole number and twice the square of the number is 10. Find the number

Answers

Answer:

Hey there !

Solution:

Let the number be x

=> x + 2x² = 10

=> 2x² + x - 10 = 0

Factorising the quadratic equation we get,

=> 2x² + 5x - 4x - 10 = 0

=> x ( 2x + 5 ) -2 ( 2x + 5 ) = 0

=> ( x - 2 ) ( 2x + 5 ) = 0

=> x = 2, -5/2

Since x is a whole number, -5 / 2 wont be applicable.

Hence x = 2.

Hence the number is 2.

Hope my answer helped !

Step-by-step explanation:

One study of 91 bald eagle eggs found that the eggs had a mean length of 73.6 millimeters and a standard deviation of 2.9 millimeters.

One of the bald eagle eggs found was 74.9 millimeters long.

Which is closest to the z-score for the egg?

–0.45
0.45
1.02
1.30

Answers

Answer: 0.45

Step-by-step explanation:

Answer:

The person above is right and deserves brainliest.

(B),  .45

ED2021

bana ran 18.6 miles of a marathon in 3 hours

unit rates

Answers

Answer:

6.2

Step-by-step explanation:

try this 18.6 divided by 3

Answer:

6.2

Step-by-step explanation:

Vanessa works 32 hours per week at her job. Her boss offers her a full time job (40 Hours per week) and a 2 dollar per hour raise. She says "this is great now I'll make 200 more per week". What is Vanessa's hourly wage before the raise?

Answers

Answer:

$35.75 per hour

Step-by-step explanation:

In order to calculate this, we first need to calculate how much she made with her current hourly wage. We do this by multiplying the hours she worked by her current hourly wage plus her raise.

32 hours * (40+2) = $1,344

Now we subtract $200, since this is how much more she is making with her raise, and then we divide that amount by the 32 hours she is working per week.

(1,344 - 200) / 32 = $35.75 per hour

Finally, we can see that Vanessa's hourly wage before the raise was $35.75 per hour

10 POINTS!!!!!! answer quick

Answers

Answer:

Thx for the free points! Have a great day

Step-by-step explanation:

What is StartFraction 8 Over 9 EndFraction divided by two-thirds? A fraction bar labeled 1. Under the 1 are 9 boxes containing one-ninth. Under the 9 boxes are 3 boxes containing one-third. 1 and one-sixth 1 and StartFraction 2 Over 9 EndFraction 1 and one-third 1 and two-thirds

Answers

Answer:

C 1 1/3 I got it right in the quiz

What is the value of x

HELP!!!!​

Answers

Answer: 7

Step-by-step explanation: This is an equalateral triangle. You can tell by the marks on each angle, marking that they are equal.

This means that the two sides that aren't the hypotenuse are the same.

Therefore,

[tex]4(x+2) = 36[/tex]

Multiply out the 4

[tex]4x + 8 = 36[/tex]

Subtract 8

[tex]4x = 28[/tex]

Divide by 4

[tex]x = 7[/tex]

for questions 10-11 if l || m, find the values of x and y.

Answers

Answer:

10) 9x - 2° = 5x + 54° (corresponding angles are equal)

9x - 5x = 54 + 2

4x = 56

x = 56/4

x = 14°

10y + 6° = 9x - 2° (linear pair)

10y + 6° = 9(14)° - 2°

10y + 6° = 126° - 2°

10y + 6° = 124°

10y = 124° - 6°

10y = 118

y = 118/10

Sorry, i don't know how to do the 11th question

but hope this helps you!

What is the midpoint of the line segment with endpoints (-2,-4) and (4,6)?
A. (-6,10)
B. (-3,5)
C. (1,1)
D. (2.2)
E. (3,5)

Answers

Answer:

Answer: C. (1,1)

Step-by-step explanation:

Midpoint

Given a segment defined by points (x1,y1) and (x2,y2), the midpoint (xm,ym) is calculated as follows:

[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]

[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]

The endpoints are (-2,-4) and (4,6).

Calculating the midpoint:

[tex]\displaystyle x_m=\frac{-2+4}{2}=\frac{2}{2}=1[/tex]

[tex]\displaystyle y_m=\frac{-4+6}{2}=\frac{2}{2}=1[/tex]

The midpoint is (1,1).

Answer: C. (1,1)

Simplify the expression. √-14√-19

Please help!!

Answers

I believe the answer would be -√266
in decimal form it’d be: -16.30950643.....
i hope this helps

WILL GIVE BRAINLIEST find the value of r (-4,8), (r,12), m=4/3 (show your work pls)

Answers

Answer:

r = 13

Step-by-step explanation:

The first step is to find b from y=mx=b using m=4/3 and (-4,8)

[tex]8=\frac{4}{3}(-4)+b[/tex]

After solving the equation, b will equal -16/3 making the final equation be

[tex]y=\frac{4}{3} x-\frac{16}{3}[/tex]

Using the equation, you can solve for r.

[tex]12=\frac{4}{3} x-\frac{16}{3}[/tex]

This will bring the answer being r = 13

Sabrina has 2/4 of a pizza and wants to share it equally between her and kayla.How much of the pizza does each person get?

Answers

Answer:

1/4 of the pizza.

Step-by-step explanation:

Since there are 2 people, you would want to divide 2/4 by 2. 2/4*1/2 = 1/4, so your answer is 1/4.

each friend gets 1/4 of the pizza

Mrs. Allen a high school teacht is grading quizzes and tests this weekend she has at most 4 hours or 240 minutes to spend grading and she would like to get at least 60 quizzes and tests graded on average it takes her 3 minutes to grade each quiz and 8 minutes to grade each test

Answers

Answer:

(55,9)

Step-by-step explanation:

Write one inequality to represent the number of quizzes and tests Mrs. Allen must grade and one inequality to represent the number of minutes it will take her to grade the quizzes and tests.

Mrs. Allen must grade at least 60 quizzes and tests, so the sum of x and y must be greater than or equal to 60.

On average, it takes Mrs. Allen 3 minutes to grade each quiz and 8 minutes to grade each test. So, the total number of minutes it takes her to grade x quizzes is 3x minutes, and the total number of minutes it takes her to grade y tests is 8y minutes. Since she has at most 240 minutes to spend grading, the sum of 3x and 8y must be less than or equal to 240.

The solution set to the system of these linear inequalities represents the numbers of quizzes and tests Mrs. Allen can grade this weekend.

Now, consider each of the coordinate points. In order to be a solution to this system of inequalities, both inequalities must be satisfied by the values of x and y. When x = 55 and y = 9, both inequalities are satisfied. To confirm, substitute these values of x and y into the first inequality.

Now substitute the values into the second inequality.

Therefore, the only point that lies in the solution set is (55,9).

If a 30 foot ladder is positioned so that the bottom of the ladder is 1/4 of its length away from the wall, what angle does the ladder make with the ground

Answers

Answer:

[tex]75.52^\circ[/tex]

Step-by-step explanation:

Given that:

The length of the ladder = 30 ft

Distance between bottom of ladder and wall = [tex]\frac{1}{4}^{th}[/tex] of its length

To find:

Angle made between the ladder and ground = ?

Solution:

This situation can be compared with a right angled [tex]\triangle ABC[/tex] as shown in the attached image in the answer area.

Side AC being the hypotenuse has the ladder along it.

AB is the wall.

BC is the distance between the wall and foot of ladder.

Formula for cosine trigonometric ratio:

[tex]cos\theta = \dfrac{Base}{Hypotenuse}[/tex]

In [tex]\triangle ABC[/tex]:

[tex]cosC=\dfrac{BC}{AC}[/tex]

Putting the values:

[tex]BC=\dfrac{AC}{4}[/tex]

[tex]cosC=\dfrac{\frac{AC}4}{AC}\\\Rightarrow cos C = \dfrac{1}{4}\\\Rightarrow \angle C = cos^{-1}(0.25)\\\Rightarrow \angle C =\bold{75.52^\circ}[/tex]

Nathaniel participated in an 18-mile race. He ran 1 2 mile in 1 6 hour. If he ran the entire race at the same pace, how long, in hours, will it take Nathaniel to finish the race?

Answers

Answer:

24 hours

Step-by-step explanation:

set up a ratio:

12 miles = 16 hours

-------------    ------------

18 miles =   x hours

cross multiply

12m * x = 16h * 18 m

solve for x

x=16h * 18m / 12m = 24 hours

Violet used 4 scoops of sugar to make 26cups of lemonade.How many scoops of sugar would violate need to use if she made 234 cups of lemonade?

24

11

31

26

Answers

Answer:

Violet used 4 scoops of sugar and mixed it with 26 cups of lemonade and if it makes 234 cups of lemonade then there is 208. 26 scoops of sugar would violate the cups of lemonade.

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

She would need 26 scoops of sugar as in every certain amount she gets 4 which is 26 cups,every 26 cups she needs 4 , equivelent to that is 26.

(2x - 4)(x+3) = 2x(x + 5)

Answers

X is equal to a negative one point 5

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x = −3/2

Decimal Form:

x = −1.5

Mixed Number Form:

x = −1/1/2

2. (0, 3); slope = -2

Answers

Answer:

y-3=-2(x-0)

Step-by-step explanation:

i think this is what u needed

When are x+3 and 3+x equal? When are they not equal?

Answers

Answer:

when x is any real number

Step-by-step explanation:

commutative property

one fourth plus ten sixteenths

Answers

Answer:

fourteen-sixteenths

Step-by-step explanation:

Answer:

7/ 8

(Decimal: 0.875)

Step-by-step explanation:

1/4+10/16

1/4+5/8 (simplfy into simpliest terms)

2/8+5/8 (find the common denominator)

2+5/8 (add the numerators)

Answer=7/8

x^2-8x=-15 solve by completing the square

Answers

Answer:

Step-by-step explanation:

Please help me with this question! Will mark brainliest :)

Answers

Answer:

The slope is 1 hope this helps

y²-y¹/x²-x¹

6-(-4)/7-(-3)

10/10 =1

The slope is 1.

If you use the equation y2-y1/x2-x1, you will get m=1.

Have a wonderful day :)
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