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

PLEASE HELP! I WILL GIVE BRAINLIEST!
According to the formula pi r squared, for a circle with a radius of one unit the area equals pi.
For a circle with a radius of two units the area equals four pi. Ans = 16 pi units squared
For a circle with a radius of three units the area is nine pi.
A = 25 pi units squared, 36 pi units squared, 49 pi units squared... to 100 pi units squared.

So try this... given the formula for circumference of a circle C = pi * d or C = 2 p* r

What are the circumferences for these circles....
r = 1 unit
r = 2 units
r = 3 units
Now finish the pattern to r = 10 units...

Answers

Answer:

2pi, 4pi, 6pi, 8pi, 10pi, 12pi, 14pi, 16pi, 18pi, 20pi

Step-by-step explanation:

Formula used=2p*r

On a test of 25 items, 18 were answered correctly. What percent were answered correctly?

Answers

Answer:

72%

Step-by-step explanation:

18*4=72%

i need to know the solution of 4(x+3)-4=81/2x+1

Answers

What does x stand for?

Answer:

[tex]x= \frac{-7+\sqrt{697}}{8}[/tex]

[tex]x= -\frac{7+\sqrt{697}}{8}[/tex]

Step-by-step explanation:

4(x+3)-4 = 81/2x +1

Add 4 to both sides

4(x+3) = 81/2x +5

Multiply both sides by 2x (This removes the division from the second half)

8x(x+3) = 81 +10x

Simplify

[tex]8x^{2}[/tex]+24x = 81 +10x

Subtract 10x from both sides

[tex]8x^{2}[/tex] +14x = 81

Subract 81 from both sides

[tex]8x^{2}[/tex] +14x -81 = 0

Solve using the quadratic formula

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

a= 8, b= 14, c= -81

[tex]x = \frac{-14 (+-) \sqrt{14^{2} -4 *8(-81)} }{2*8}[/tex]  

Simplify

[tex]\sqrt{14^{2} -4 *8(-81)} = 2\sqrt{967}[/tex]

[tex]\frac{-14 (+-) 2\sqrt{967}}{2*8}[/tex]

Simplified Solution

[tex]x= \frac{-7+\sqrt{697}}{8}[/tex]

And

[tex]x=- \frac{7+\sqrt{697}}{8}[/tex]

I know this is confusing but I hope it helps. Keep in mind that (+-) means plus or minus. You might also look up what the quadratic formula is if you are not already familiar with it.  

The cross country track team ran 8.7 kilometers in 42.5 minutes during
their workout. Which equation could be used to find, r, the team's
average running speed in kilometers per minute?

Answers

42.5 Becuase it is correct

Brainliest to correct answer

Answers

Answer:

No, zack will finish first.

Step-by-step explanation:

I would rather not write it out but zack should finish first

4) 16 + 7 + 9 = 7 + 9 + 16 *
A. Commutative Property of Addition
O B. Additive Identity Property
C. Multiplicative Identity Property
O D. Associative Property of Addition
Help me pls

Answers

Answer:

a.) Commutative Property of addition

Step-by-step explanation:

A.) Commutative Property of Addition.

1. What is the probability of flipping heads on a coin and rolling either a 2 or a 3 on a 6-sided
number cube?
HELP PLS HURRY!!

Answers

Answer:

1/2 1/6 1/6

Step-by-step explanation:

A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 119 pounds requires 136 milligrams of medicine
What is the weight of a patient who requires 200 milligrams of medicine?

Answers

Answer:

228.571428 or estimate it down

Step-by-step explanation:

136 ÷ 119 = 1.14285714

1.14285714 x 200 = 228.571428

The weight of the patient who required 200 mg of medicine is 175 pounds.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 5 is an equation.

We have,

Amount of medicine = Patient's body weight.

136 mg = 119 pounds

Multiply 200/136 on both sides.

200 mg = 200/136 x 119 pounds

200 mg = 175 pounds

Thus,

The weight of the patient who required 200 mg of medicine is 175 pounds.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Factor completely 2x2 - 6x - 56.

Answers

Answer:

your questions is wrong it's 2×2-6x=56

answer= X=-9

Step-by-step explanation:

2×2-6x=56

4-6x=56

-6x=56-4

-6x=54

-X=54/6

-X=9

X=-9

I need help on this question

Answers

Answer:

7:8

Step-by-step explanation:

Does anyone know how to do this?? I don’t understand. I need help please ASAP! Tysm

Answers

17. 30

19. 58

21. 55

23. 23

can sum one solve this plz
5(7+8)+(89-9)

Answers

Answer:

155

Step-by-step explanation:

• 5(15) + 80

• 75 + 80

• 155

Ghjhbhjvbyvyybybtvtvtctvgbybybu 52.7

this is important please help I will give brainiest​

Answers

d. Bobby drew a diagram that’s not a function.

You can see by the arrows, function means domain cannot have two different ranges. Bobby made a mistake since it should’ve been a function

Find m2H.
E
81°
A. 81°
B. 162°
C. 89°
D. 99°

Answers

The answer is freaking D . All you gotta do is subtract 180 and 81 and you’ll get 99 degrees

84192÷67÷2?por favor no tengo ni idea

Answers

Answer:

628.298507463

Step-by-step explanation:

Answer:

628.298507463

brainliest? XD

Estimate the quotient: 1628 ÷ 8

Answers

Answer:

203.5

Step-by-step explanation:

Please mark brainliest.

Answer:

Answer is: 203.5

Step-by-step explanation:

Hope this helped YOU! :)

can someone please help me with this? if you end up getting it correct after I answer it ill give you 20 points more

Answers

Answer: B.

Step-by-step explanation:

The slope is 3 the y-intercept is (0,6)

hope this was helpfulllllllllllllllllllllllllllllllllll

lim x tends to π÷2 , then what is the value of (tanx + cotx) ÷ ( tanx - cotx)​

Answers

(tan(x) + cot(x)) / (tan(x) - cot(x)) = (tan²(x) + 1) / (tan²(x) - 1)

… = (sin²(x) + cos²(x)) / (sin²(x) - cos²(x))

… = -1/cos(2x)

Then as x approaches π/2, the limit is -1/cos(2•π/2) = -sec(π) = 1.

50 points the question is in the picture.

Answers

Answer:

Every minute the coffee cooled down 2 degrees F every minute  

Step-by-step explanation:

so i took 2 to see how many times it went into 22 then i took 54 and went 2 degrees for each minute.

Answer:

-2.4°F

Step-by-step explanation:

Temperature change is:

- 54°F over 22 1/2 minutes

Rate of change in a minute:

-54 / 22 1/2 = -54 / 45/2 =-108/45 =-2 18/45 =-2 2/5 =-2.4°F

Ariana is a songwriter who collects royalties

Answers

Answer:

Y e s

Step-by-step explanation:

N o ?

I d r k

Answer:

Whenever they are played in a commercial or a movie

Step-by-step explanation: oyriuqewyfuqasyerdb8o7iu

Which number is a perfect square? 15 or 4

Answers

Answer:

4

Step-by-step explanation:

even numbers that is a multiple of 4 is a perfect square

Answer: 4 is perfect square.

Step-by-step explanation:

What is the slope of this graph? (1,6) A 2 3.0) B В​

Answers

Answer:

-3

Step-by-step explanation:

pls mark as brainliest

How do the values compare? Order the values from least to greatest. -1 1/4 , |-1 3/4-| , 3/4 , -2 1/4 , |1 1/4-| , and |-2 1/4| ​

Answers

Answer:

[tex]-2 \frac{1}{4}<-1 \frac{1}{4} < \frac{3}{4}< |1 \frac{1}{4}|< |-1 \frac{3}{4}| < |-2 \frac{1}{4}|[/tex]

Step-by-step explanation:

Given the numbers:

[tex]-1 \frac{1}{4} , |-1 \frac{3}{4}| , \frac{3}{4} , -2 \frac{1}{4} , |1 \frac{1}{4}| , and |-2 \frac{1}{4}|[/tex]

To find:

The ascending order of the given numbers.

Solution:

First of all, let us have a look at the definition of absolute value function i.e. Modulus function.

[tex]|y|=\left \{ {-{y}\ if\ y<0 \atop {y}\ if\ y>0} \right.[/tex]

i.e. if the numbers is negative, then a negative sign is added to make the number positive.

Now, let us have a look at the given numbers with modulus one by one.

[tex]|-1 \frac{3}{4}| = -(-1 \frac{3}{4})=1 \frac{3}{4}\\ |1 \frac{1}{4}| = 1 \frac{1}{4}\\|-2 \frac{1}{4}| = -(-2 \frac{1}{4})=2 \frac{1}{4}[/tex]

Smallest numbers are with negative signs.

And negative numbers with larger magnitude are smaller.

Therefore, the ascending order will be:

[tex]-2 \frac{1}{4}<-1 \frac{1}{4} < \frac{3}{4}< |1 \frac{1}{4}|< |-1 \frac{3}{4}| < |-2 \frac{1}{4}|[/tex]

Answer:

Step-by-step explanation:

- 2 1/4 - 1 1/4 3/4 | 1 1/4| | - 1 3/4 | - 2 1/4 |

Hey I need some help :)

Would the phrase
“Net Change” mean I would subtract the given numbers? I’m on a post test and I’m a little confused. Please answer if you know.

Answers

Answer:

Net change means the differnce between the before result and the after result. You would subtract the numbers, but if you have a gain(the before result smaller than after result) you would do its absolute value. If it's a loss(the before result bigger than after result) you would put a negative behind its absolute value.

e.g. if 2019 had $1 net worth and 2020 had $2 net worth, since 2>1 it would be |2-1| = 1. If 2019 had $2 net worth and 2020 had $1 net worth, since 1<2 there would be a - |2-1| = -1 net change.

However, if there is no change it would be just 0.

What are sets and how can they be represented ?

Answers

A set is usually denoted by a capital letter, such as A, B, or C. A set may be described by listing all of its elements enclosed in braces.

For example, if Set A consists of the numbers 2, 4, 6, and 8, we may say: A = {2, 4, 6, 8}.

Which lines are parallel? Check all that apply.

Lines b, c, d, e, f are cut by transversal a. Clockwise from top left, the angles formed by lines b and a are blank, 89.5 degrees, blank, blank; by lines c and a are blank, blank, blank, 91.5 degrees; by lines d and a are blank, blank, 89.5 degrees, blank; by lines e and a are 88.5 degrees, blank, blank, blank; by lines f and a are blank, blank, 90.5 degrees, blank.
b is parallel to f
b is parallel to d
c is parallel to e
c is parallel to d
d is parallel to f
e is parallel to f

Answers

Answer:

I think it's A and C

b║f

c║e

(I'm so sorry if it's wrong)

Hope this Helps!

Answer:

A and c are correct because i just took the test

Step-by-step explanation:

Solve: 0.3 + d = 7.1 d = _____

Answers

Answer:

d= 3/61

Step-by-step explanation:

Rob is saving money for a down payment on a house. He opens a savings account at his local bank and deposits $1000. He models his savings plan with the equation y=400x+1000
based on his current income and monthly savings rate. What is the meaning of the y-intercept in the equation?

Answers

Answer:

x=-5/2

Step-by-step explanation

y=0

0=400x=1000 divide both sides

x=-5/2

Answer:

The Answer is D: Starting amount in his savings account

Step-by-step explanation:

The y-intercept represents the starting amount in his savings account.

x = 0 for the y-intercept.

y = 400x + 1000

y = 400(0) + 1000

y = 1000

Can someone please tell me the answers for this question

(I'll dm you the screenshots on Twitter)

Answers

Ooooooomkkkkkkkkkkkkk

Write the equation for (-2,3) and (3,-1)

Answers

Answer:

y = -4/5x + 7/5

Step-by-step explanation:

Use slope intercept form to find the equation for the line:

y=mx+b

y= -4/5x + 7/5

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