On a coordinate plane, a straight red line with a positive slope, labeled g of x, crosses the x-axis at (negative 3, 0) and the y-axis at (0, 3). A straight blue line with a positive slope, labeled f of x, crosses the y-axis at (0, negative 3) and the x-axis at (1, 0). Both lines intersect at (3, 6).

Answers

Answer 1

Answer:

f(6) = g(3)

Step-by-step explanation:

Which statement is true regarding the functions on the graph?

f(6) = g(3)

f(3) = g(3)

f(3) = g(6)

f(6) = g(6)

Solution:

g(x) passes through the points (-3, 0) and the y-axis at (0, 3). The equation of g(x) is given as:

g(x) = y

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

[tex]y-0=\frac{3-0}{0-(-3)}(x-(-3))\\\\y=x+3\\\\g(x)=y= x+3\\\\g(x)=x+3[/tex]

f(x) passes through the points (0, -3) and the y-axis at (1, 0). The equation of f(x) is given as:

f(x) = y

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

[tex]y-(-3)=\frac{0-(-3)}{1-0}(x-0))\\\\y+3=x\\\\f(x)=y= x-3\\\\f(x)=x-3[/tex]

f(6) = x-3 = 6 - 3 = 3

g(3) = x + 3 = 3 + 3 = 3

f(6) = g(3)


Related Questions

BASED ON THE GRAPH, WHICH STATEMENT APPEARS TO BE TRUE?

Answers

A (hope this helps) just look at where they both touch

What is the correct answer?

Answers

Answer:46

Step-by-step explanation:

The correct answer is 46

iris has 120 songs on her playlist each week she downloads 4 new songs. write an expression to show the total number of songs on iris's playlist after W weeks.

Answers

The answer is 4w+120.

Answer:

S(w)=120+4w

Step-by-step explanation:

The function has a base constant of 120 songs. Then for each week, 4 songs are added. On week 1, w=1, and thus it is 120+1(4). On week 2, w=2, and thus it is 120+2(4).

In a month with 31 days, Google featured Doodles on 18 days.What percent of the month was this?Round to the nearest whole percent

Answers

Answer:

58.06%

Step-by-step explanation

TRUST ME

SOS!! Please help, I have no idea what I'm doing smh

Answers

Answer:

slope of st is -0.25

slope of tu is 1

slope of us is -0.25

slope of sv is 1 so it is a parallelogram. the slope of the parallel lines needs to be the same to be a parallelogram. to find the slope, you need to find the change from the points of the referenced line, for example, slope of st you would label each point as x1, y1 and x2,y2. it does not matter which one you label and you can change them for each different line. you would then find the difference by subtracting (y2-y1) divided by (x2-x1) so 4-3=1 and 1-5 is -4. you then divide 1/-4 is -0.25. you the follow the steps for each line. is the parallel lines have the same slope, it is a parallelogram

Please help I needa finish this

Answers

Answer:

i think its d

Step-by-step explanation:

if you look up quadrilaterals you find shapes like rectangles, squares, and diamonds. if you look up parallelograms you find the same thing, so i think it's d. sorry if im wrong i havent done this stuff in a while

Answer:

I am sure the answer is C, if not I'm very sorry

Which ratio is equal to 27:817 OA 1:9 OB. 2:9 Oc. 3:9 OD. 3:27 O E 9:12​

Answers

Answer:

54 : 1634

Step-by-step explanation:

Help me ASAP pls with this

Answers

Answer:-15,20

Step-by-step explanation:

-15 and then 20 :) I hope this helps

In this system of equations below solve for x
2x+2y=12
x-4y=6

Answers

Answer:

X = 6

y = 0

Step-by-step explanation:

use elimination method. Multiply (x -4y = 6) by -2.

2x + 2y = 12

-2x + 8y = -12

add them together

10y = 0

y = 0

plug in for y

x - 4(0) = 6

x = 6

Those two please I really need help

Answers

Answer:

Horizontal flat lines have a slope of 0, and the other one is negative correlation because if you make an imaginary line through that it would have negative slope

the first one is B because the line is not going up or down so the slope is 0
the second one is C because the points do not form any type of straight line so it can’t form any negative or positive correlation

There are 16 circles and 12 squares. What is the simplest ratio of squares to circle

Answers

Answer:

4:3

Step-by-step explanation:

divide each by 4

What is the value of x y and z
I’ll give brainliest

Answers

Answer:

x=2

length y = 4

angle Z = 45

Step-by-step explanation:

x^2 = 2x^2 - 4

put like terms on same sides, lets subtract x^2 to both sides

0 = x^2 - 4

add 4 to both sides

4 = x^2

square root of 4 = 2

x=2

since it is a square, we know all sides are the same length (proof also shown) so y is equal to the other side x^2

y = x^2

y = 4

Angle Z is 45 degrees, because a square has all right angles that are 90 degrees, but a diagonal evenly splits angle into two 45 degree parts.

please give thanks by clicking the heart button! :)

I needdd helpp :)))))

Answers

I can’t see the scenario on top so can’t rlly help u out sorry

What time is it in New York, now

Answers

Answer:

7:17 PM

Step-by-step explanation:

Answer:

7:17................

HELLPPPPPPP BRAINLIEST



What is the constant term in the expression 4x3y + 8x2 + 6x + 5? (Input a numeric value only.) (3 points)

Answers

Answer:

the answer is 5

Step-by-step explanation:

In order for the parallelogram to be a square, x=?

Answers

Answer:

x=7   Thx pls mark as brainliest

Step-by-step explanation:

In order for a polygon to be a parallelogram, the polygon needs to be a four-sided rectangle type shape, with two sets of parallel sides.

For this square to be a parallelogram, all  

4

angles need to be  

90

º

. This will give us to the two sets of parallel sides.

Knowing this, and the fact that on of the angles is being bisected, we need only multiply the defined angle by two and set it equal to  

90

.

2 to the -3 power over 2 to the -2 multiply 2 to the 6 power.

Answers

Step-by-step explanation:

Please gimme brainliest

I hope it's correct

Do Anybody know this ?

Answers

Answer:

R= 30-9t.... I think

Step-by-step explanation:

Someone please help and tell me what Y is with which X. I don’t understand this and need a good grade.

Use the line of symmetry to complete the table then graph f(x) = x^2+4x+2.

X -4, -3,-2,-1,0
y-

Answers

the rest of the table is Y: 2, -1,-2,-1,2 then graph it using these points (-4,2) (-3,-1) (-2,-2) (-1,-1) (0,2)
Oh yeah lol yeah I’m pretty

Even if you don’t think it is an independent variable, _____ is usually always plotted on the “x” axis.


Help?

Answers

Answer:

Y axis is dependent

Step-by-step explanation:

and x axis is independent, so if its on the x axis, its alwasy a independent variable, hope it helped Lol

16 Four biased coins, A, B, C and D are thrown.
The probability that each coin will land on Heads is shown in the table.
Coin
Probability
A
0.33
B
0.033
1
С
3
D
30%

i) which coin is least likely to land on Heads?

ii) Which coin is most likely to land on Heads?

Julie says ,

"The probability that coin C will land on Heads is the same as the probability that coin C will land on Tails."

b) Is she correct?
Give a reason for your answer.

Coin B is going to be thrown 4000 times

c) work out an estimate for the number of times coin B will land on Heads.

and also please give me step by step thanks x

Answers

Answer:

Step-by-step explanation:

There are no results for ADD YOUR ANSWERQuestion16 Four biased coins, A, B, C and D are thrown.The probability that each coin will land on Heads is shown in the table.CoinProbabilityA0.33B0.0331С3D30%i) which coin is least likely to land on Heads?ii) Which coin is most likely to land on Heads?Julie says ,"The probability that coin C will land on Heads is the same as the probability that coin C will land on Tails."b) Is she correct?Give a reason for your answer.Coin B is going to be thrown 4000 timesc) work out an estimate for the number of times coin B will land on Heads.and also please give me step by step thanks x​

Check your spelling or try different keywords

Solve the absolute value equation.

4 − |x| = 1 25 POINTS

Answers

The answer is X=-3,5

Add.
92 +53
Enter the correct answer in the box.

Answers

Answer:

145

Step-by-step explanation:

A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank the remaining water. How much water, to the nearest ten 3 1milliliters does the student have left in the bottle?

Answers

Answer:

25\100*500=125

1/3*125=41.66

41.66 millilites is left in the bottle

Step-by-step explanation:

What is the fraction that is halfway between 1/3 and 3/2

Answers

Answer:

11/12

Explanation:

1/3 + 3/2 = 11/6

11/6 x 1/2 (average is halfway) = 11/12

Answer:

-1/12.

Step-by-step explanation:

One way to do this is as follows

Answer = (3/2 + 1/3) / 2

= (9/6 + 2/6) / 2

= 11/6 / 2

= 11/12.

(x+5)(x-2) Expand and simpliy

Answers

Step-by-step explanation:

x(x-2) +5(x-2)

x² -2x + 5x -10

x² + 3x - 10

Answer:

the answer is x^2 + 3x - 10 I guess!

Step-by-step explanation:

This is an algebraic equation so-

Pranav's school is selling tickets
to a fall musical. On the first
day of ticket sales the school
sold 12 adult tickets and 7
student tickets for a total of
$124. The school took in $20
on the second day by selling 1
adult ticket and 3 student
tickets.
What is the price each of one
adult ticket and one student
ticket?

Answers

Adult tickets are 8 dollars and student tickets are 4!

Alice likes to go to Main Event to play laser tag and climb the rock wall each Saturday. Instead of purchasing the play pass, Alice pays for each activity separately.


a. This week Alice played laser tag twice and climbed the rock wall 3 times, spending $31.


b. Last week Alice played laser tag 4 times and climbed the rock wall once, spending $27.


Using the information provided, how much does Main Event charge, in dollars, to climb the rock wall?


1. $7

2. $5

3. $8

Answers

Answer:

1. $7 for climbing the rock

Step-by-step explanation:

x is the number of laser tags

y is the number of times climbed the rock

a. 2x + 3y = 31

b. 4x + y  =27

lets find y

Step 1

4x + y = 27

y = 27 -4x

step 2

replace y with 27 - 4x in the a.

2x + 3( 27 - 4x) = 31

2x + 81 - 12x = 31

2x -12x = 31 -81

x = 5

y = 27 - 4(5)

y = 7

Ted sells cleaning supplies. He earns a monthly salary of $850.00, plus commission. He earns 5% commission on the first $10,000 in sales, and 7% commission on any sales over $10,000. If he sold $14,000 worth of supplies this month, how much will his pay be this month?

Answers

Answer:

$1830

Step-by-step explanation:

Step one:

Ted's monthly salary =$850.00

since he made sales over $10,000. that is he sold supplies worth $14,000

his commission will be 7% of $14,000

=7/100*$14,000

=0.07*$14,000

=$980

Required

His total earnings

Step two:

Hence his total earnings is, his monthly salary  plus 7% commission of  supplies worth $14,000

=$850.00+$980.00

=$1830

Mia buys 50 coats at $28 each she sells 38 of these coats at$49 each she sells the rest of the coats at$40 each find the overall percentage profit mia has made on these coats

Answers

Answer:

67.28 %

Step-by-step explanation:

Given that:

Price at which the coats are bought = $28

Number of coats bought = 50

Total money spent on buying the coats = 50 [tex]\times[/tex] 28 = $1400

Number of coats sold at $49 each = 38

Money earned by selling 38 coats at $49 each = $1862

Number of coats left = 50 - 38 = 12

Money earned by selling 12 coats at $40 each = $480

Total money earned = $1862 + $480 = $2342

To find:

The overall profit percentage made by Mia ?

Solution:

Formula for Profit percentage:

[tex]Profit\% = \dfrac{Sales\ Price - Cost\ Price}{Cost\ Price}\times 100\\\Rightarrow Profit\% = \dfrac{2342 - 1400}{1400}\times 100\\\Rightarrow Profit\%=\dfrac{942}{1400}\times 100\\\Rightarrow Profit\%=67.28\%[/tex]

Therefore, overall percentage profit made by Mia by selling the coats= 67.28 %

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