Graph f(x) = x and g(x) =
and g(x) =-1/3x+2
x on the same coordinate plane.

Answers

Answer 1

Hey there!

Let's think of both of these functions as two different slope-intercept equations (y=mx+b). Don't let all of the fs and gs confuse you; those are just showing that they are two different functions!

Our function f has an equation of y=x, which is a diagonal line that passes through the origin and goes across each small grid on the graph diagonally.

Our function g has an equation of y=-1/3x+2, which means that it will intersect with the y-axis at two units above the origin and for every three whole steps it goes to the right, it will have gradually gone down one whole step as well.

Attached to my answer is what a graph of it would kind of look like. Sorry if the lines don't look too much like a line it's a bit difficult to draw with a mouse haha!

I hope that this helps! Have a wonderful day!

Graph F(x) = X And G(x) =and G(x) =-1/3x+2x On The Same Coordinate Plane.

Related Questions

Find the slope and the y-intercept, then write the equation for the line in slope intercept form ?

Answers

Answer:

Slope: 1/3

Y-Intercept: (0,7)

Equation: y = 1/3x + 7

Step-by-step explanation:

If you find a point on the line, you can find the slope by counting the distance from the y-intercept.

Caleb’s puppy weighs 2,250 grams. If the puppy weighed 600 grams at his last visit to the veterinarian’s office, what is the percent increase in the puppy’s weight rounded to the nearest whole number? Enter your answer in the box.

Answers

Answer:

[tex]73\%[/tex]

Step-by-step explanation:

Given: Present weight of Caleb’s puppy = 2,250 grams

Puppy weighed 600 grams at his last visit to the veterinarian’s office.

To find: percent increase in the puppy’s weight rounded to the nearest whole number

Solution:

Increase in puppy's weight = 2250 - 600 = 1650 grams

Percent increase in the puppy’s weight =( Increase in puppy's weight/Present weight of Caleb’s puppy) × 100 = [tex]\frac{1650}{2250}(100)=73.33 \%[/tex]

[tex]73.33\%[/tex] is rounded to [tex]73\%[/tex]

Find the mean of the numbers below.
5, 10, 15, 20, 1, 2, 2, 1

Answers

Answer:

7

Step-by-step explanation:

used a calculator

What is the value of x in the equation 3-2x=-1.5x?
оооо
-6

Answers

Answer:

x=6

Step-by-step explanation:

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

Answer:

x = 6

Step-by-step explanation:

In this equation, we are told to solve for the value of x. Thus, we must isolate the variable x (poor x... we're always trying to isolate it).

3 - 2x = -1.5x

(I'm going to swap sides to make it easier for me to solve. This doesn't change anything mathematically due to the associative laws. It's purely cosmetic.)

-1.5x = 3 - 2x

First, we can add 2x to both sides of the equation to get all algebraic expressions containing the variable x on one side of the equation alone.

0.5x = 3

For our next part here, let's convert 0.5 to a fraction to make life easier for us.

[tex]\frac{1}{2}[/tex]x = 3

When isolating x in this, we are trying to get rid of 1/2. How can we do this? We can multiply is by 2!

[tex]\frac{1}{2}[/tex]x · [tex]\frac{2}{1}[/tex] = 1x (or simply x)

What we do to one side we must do to another.

x = 3 · 2

x = 6

Our answer is x = 6. Woo!

please help i will mark brainly !

Answers

Answer:

1 hour and 20 minutes

Step-by-step explanation:

Answer:

Total time taken by Natalie to reach the airport is 1 hour and 20 minutes

Simply the expression. (7x^2y^3)^4

Answers

Answer:

2401x^8y^12

Step-by-step explanation:

You raise 7 to the 4th power which means you multiply 7 four times. Then you multiply the exponents of 2 variables by 4.

The owner of a car wash combines x gallons of a 2% liquid soap and 98% water mix with y gallons of a 7% liquid soap and 93% water mix to make 500 gallons of a 5% liquid soap and 95% water mix. Write a system of linear equations that represent the situation.

Answers

X(2+98) + y(7+93)= 500(5+95)

Not sure if it’s right or not!!!

help me pls working on quizizz :(

Answers

here your answer mate

3.25

hope it helps ☺️✌️

Answer:

3.25

Step-by-step explanation:

16/13 = 4/r

16 × r = 13 × 4

16r = 52

r = 52/16 = 3.25

What is the slope of the line graphed in the picture

Answers

Answer:

-1

Step-by-step explanation:

Take the two points

(-2,4) and (4,-2)

And we can find the  slope

m = (y2-y1)/(x2-x1)

   = (-2-4)/( 4 - -2)

   =(-2-4)/(4+2)

   = -6/6

   = -1

I need help with this question

2(y – 3) = 1.2 – y
Solve and explain

Answers

2.5??????????????????

Answer:

y ≈ 2.4

Step-by-step explanation:

what expression is equivalent to 3x - (2x+4) + 5

Answers

Answer:

x+1

if it helps let me know by voting

Step-by-step explanation:

Answer:

3x+(-2x-4)+5 would be one of plenty other possibilities, it would help if we knew what x was equal to

Step-by-step explanation:

Junior is using estimating to Find the product of 6752x36 by rounding 6752 to the nearest thousands and 36 to the nearest tens what estimate does junior make

Answers

Answer:

7000*40=280000

Step-by-step explanation:6752 rounded to nearest thousands is 7000 and 36 rounded is 40

Answer:

280,000

Step-by-step explanation:

Two terms of an arithmetic sequence are $a_{12}=70$a12​=70​ and A sub 30 is equal to 124$a_{30}=124$a30​=124​ . Write an explicit rule for the n$n$n​ th term

Answers

Answer:

Tn = 34+3n

Step-by-step explanation:

The formula for finding the nth term of an arithmetic sequence is expressed as shown;

[tex]Tn = a+(n-1)d[/tex]

a is the first term of the sequence

n is the number of terms

d is the common difference

If T₁₂ = 70 and T₃₀ = 124

T₁₂  = a+(12-1)d = 70

T₁₂  = a+11d = 70... (1)

Similarly;

T₃₀ = a + (30-1)d = 124

T₃₀ = a +29d = 124...(2)

Solving equation 1 and 2 simultaneously to get a and d.

Subtracting 2 from 1 we have;

29d - 11d = 124-70

18d = 54

d = 54/18

d = 3

Substituting d = 3 into equation 1 to get a we have;

a + 11(3) = 70

a + 33 = 70

a = 70-33

a = 37

The explicit rule for the nth term of the sequence can be gotten by substituting the value of a and d into the formula Tn = a+(n-1)d

Tn = 37+(n-1)*3

Tn = 37+3n-3

Tn = 34+3n

So the slope of this question is 1, does that mean I leave it as 1 or change it to 0?

Answers

Answer:

Keep it as 1.

Step-by-step explanation:

If it is 0 then there is no slope.

A farmer sells 6.8 kilograms of apples and pears at the farmer's market. 2 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answers

Answer:

weight of pears sold = 4.08 kg

Step-by-step explanation:

total weight of apples and pears = 6.8 kg

2/5 of this weight = apples

this means that if the total weight (6.8 kg) were divided into 5 parts, apples take 2 out of the 5 parts:

∴ weight of apples = 2/5 of total weight

weight of apples 2/5 × 6.8 = 2.72 kg

Therefore apples weigh a total of 2.72 kg

Therefore, since weight of apples + weight of pears = 6.8 kg

2.72 + weight of pears = 6.8

weight of pears = 6.8 - 2.72 = 4.08 kg

PLEASE HELP !!! ASAP

Answers

11.88x=172.26
11.88x/11.88=172.26/11.88
X=14.5
To the nearest tenth
X=15
She has to work 15 hours to pay for the new scooter

The measure of an angle is seventy-one times the measure of its supplementary angle. What is the measure of each angle?


Answers

Answer:

The measures are 2.5 deg and 177.5 deg.

Step-by-step explanation:

The ratio of the measures of larger angle to the smaller angle is 71:1.

71k + k = 180

72k = 180

k = 180/72

k = 2.5

71k = 71 * 2.5 = 177.5

Answer: The measures are 2.5 deg and 177.5 deg.

The drama club is showing a video of their recent play. The first showing begins at 4:35 p.M. The second showing is scheduled at 7:15 with a 1/2 hour break between the showing.

Answers

The video is an hour and ten minutes long.

Answer:

an hour and ten minutes long.

Step-by-step explanation:

Which of the following equations will yield the surface area of cylinder?

Answers

Answer: [tex]A=2\pi rh+2\pi r^2[/tex]

The guy on the top is rite. ☻♥

Find all roots of y=x^3-64

Answers

Answer:

x = -4i and x = 4i, also x = 4

Step-by-step explanation:

Rewrite y = x^3-64 as y = x^3 - 64.  This can again be rewritten, this time as:

y = (x - 4)(x^2 + 16).

Setting this = to 0, we get x - 4 = 0, whose corresponding root is x = 4, and

x^2 + 16), which has two unequal, imaginary roots:  x = -4i and x = 4i.

Given the following​ functions, find the indicated values.

Answers

Answer:  Please provide an image of what you are talking about so that we can help you more.

Please help me it’s really important to me

Answers

1. b
2. e
3. a
4. c
5. d
6. f
7. g
8. h
hope this helps there is really no way of explaining you would have to study you theorems

Gavin owes the bank $63,000. After 10 years, Gavin owes $93,255. Gavin knows the debt grows with an interest rate that compounds once every year. What is the rate of interest (as a percentage)?

Answers

Answer:

 1,616.60

we know that    

The compound interest formula is equal to  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

substitute in the formula above  

Step-by-step explanation:

I need help please help

Answers

Answer:

a) 60 times

b) 0.24

c) 150 times

Step-by-step explanation:

What are the equivalent ratios of 5/8

Answers

Answer:

60/96

Step-by-step explanation:

Answer:

10:16 or 2.5:4

Step-by-step explanation:

sorry if i am wrong

Elimination method using multiplication
1. x+3y=6 and x+2y=5
2. 3x-y=2 and x+2y=3
3. 4x X 5y=6 and 6x-7y=-20
4. 4x+2y=8 and 16x-y=14

Answers

Answer:

1. x=3, y=1

2. x=1, y= 1

3.( i dont know what the first expression means, are you multiplying 4x and 5y or adding it?)

4. x=1 , y=2

Step-by-step explanation:

This is simple simultaneous equations. You need to eliminate one element in each of the two equations, either y or x and the calculate for the other value.

Fifty-five percent of doctors at a hospital have prescribed a particular medication. A simulation with 200 random samples of 50 doctors each is shown. Describe how the sample percentages vary.

Answers

Answer:

- Mean of sampling distribution = 55%

- Standard deviation of the sampling distribution = 7%

- 68% of the distribution (about 136 of the 200 samples have sample proportions that) lie within 1 standard deviation of the mean, that is, within (55% ± 7%) = (48%, 62%).

- 95% of the distribution (about 190 of the 200 samples have sample proportions that) lie within 2 standard deviations of the mean, that is, within (55% ± 14%) = (41%, 69%).

- 99.7% of the distribution (almost all of the 200 samples have sample proportions that) lie within 3 standard deviations of the mean that is, within (55% ± 21%) = (34%, 76%).

Step-by-step explanation:

Population proportion = 55% = 0.55

Mean proportion of the sampling distribution too = 0.55

For a binomial distribution to approximate a normal distribution,

np ≥ 10

n(1-p) ≥ 10

np(1-p) ≥ 10

Note that n = sample size

p = proportion of medical doctors at the hospital that have prescribed a particular medication.

np = 50 × 0.55 = 27.5 ≥ 10

n(1-p) = 50×0.45 = 22.5 ≥ 10

np(1-p) = 50×0.55×0.45 = 12.375 ≥ 10

Hence, this sampling distribution is approximately normal.

Standard deviation of the sampling distribution is given as

σₓ = √[p(1-p)/n] = √[0.55×0.45/50] = 0.0703562364 = 0.0704 = 7.04% ≈ 7%

The empirical law for normal distributions explains that 68% of the distribution (about 136 of the 200 samples have sample proportions that) lie within 1 standard deviation of the mean, that is, within (55% ± 7%) = (48%, 62%).

95% of the distribution (about 190 of the 200 samples have sample proportions that) lie within 2 standard deviations of the mean, that is, within (55% ± 14%) = (41%, 69%).

99.7% of the distribution (almost all of the 200 samples have sample proportions that) lie within 3 standard deviations of the mean that is, within (55% ± 21%) = (34%, 76%).

Hope this Helps!!!

Answer:

Its correct I took the test!

Step-by-step explanation:

!!

This one and 1 more !!!

Answers

Answer: 30!

Step-by-step explanation: add carter’s, lucas’, davi’s, alice’s numbers. ( equaling 25).. add 5 since it turns to 30, 30 dived by 5 is 6.

Urgent please solve quickly please!

Solve the system of linear equations by substitution

-x+y=7
6x-y=-7​

Answers

Answer: x = 0, y = 7

-x+y=7

add x to both sides

y=x+7

plug this in for y in the other equation

6x-(x+7)=-7​

simplify

6x-x-7=-7

simplify

5x-7=-7

add 7 to both sides

5x=0

divide both sides by 5

x=0

plug in to one of the equations to find y

-(0)+y=7

y=7

Therefore, x=0 and y=7.

Hope this helps!

Answer:

x = 0. y = 7. (0,7)

Step-by-step explanation:

-x+y=7

+x. +x

y = x +7

6x-y= -7

6x - (x + 7) = -7

6x - x - 7 = -7

5x -7 = -7

+ 7. +7

5x = 0

÷5. ÷5

x = 0

-x + y = 7

0 + y = 7

y = 7


Two less than four times a number is less than thirty. Which inequality can be used to find the solution?

Answers

Answer:

(4×n)-2<30

Step-by-step explanation:

4xn is 4 times a number

two less= -2

LESS THAN 30, is <

The inequality used to find the solution of the given statement is 4x - 2 < 30 to get the solution as x < 8.

What is Linear Inequalities?

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given statement is that two less than four times a number is less than thirty.

Let the unknown number be x.

Four times a number is 4x.

Two less than four times a number is 4x - 2.

Two less than four times a number is less than thirty is 4x - 2 < 30.

4x - 2 < 30

Adding both sides with 2,

4x < 32

Dividing both sides by 4,

x < 8

Hence the required solution can be found by solving the inequality 4x - 2 < 30 and the solution is x < 8.

To learn more about Linear Inequalities, click on the link :

https://brainly.com/question/11897796

#SPJ2

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