If the function f(x)= 2x – 3 and g(x) = 3/2x + 1 then which of the following is a true statement?

f(0) > g(0)
f(8) = g(8)
f(2) = g(2)
g(4) < f(4)

Answers

Answer 1

Answer:

f(8) = g(8)

Step-by-step explanation:

Given

f(x)= 2x – 3 and g(x) = 3/2x + 1

f(0)= 2(0)-3

f(0) = -3

g(0) = 3/2(0)+1

g(0) = 0+1

g(0) = 1

Hence since -3 < 1, this means that f(0)<g(0)

Also;

f(8)= 2(8)-3

f(8) = 16-3

f(8) = 13

g(8) = 3/2(8)+1

g(8) =12+1

g(8) = 13

This shows that g(8) = g(8)

Hence g(8) = g(8)  is a true statement


Related Questions

The sum of 3 consecutive even integers is 48. Find all three inters

Answers

Answer: 15 16 17

Step-by-step explanation: Add them together and you should get 48

HURRY, PLEASE HELP!!!

Answers

Answer:

Equilateral, Isosceles, and Scalene triangles all have at least one pair of equal angles.

The angles must have the same degree and most of the time come when connected by or adjoined by 2 equal side lengths.

19 A trading card costs $810$ it increases in value the same amount each
year. After 1 year, the value is $1092
Write the equation to represent this

Answers

810 + x^1 = 1092

X is the amount that the trading card increased. It is raised to the first power because this was only over the span of one year. If it were five years, it would be x^5

evaluate 15x+9 when x=−1

Answers

Answer:

-6

Step-by-step explanation:

just substitute -1 for x

15(-1)+9 = -15+9 = -6

Slove 4(5x-2)= 2(9x+3)

Answers

Answer:

x=7

Step-by-step explanation:

divide both sides by two. distribute on the left side. minus 9x on both sides. add 4 on both sides, and you get 7.

Answer:

x = 7

Step-by-step explanation:

Firstly, use the distributive property to distribute the 4 and the 2 respectively.

[tex]4(5x-2) = 2(9x+3)[/tex]

[tex]20x-8=18x+6[/tex]

Then, isolate the variable. Start by subtracting 18x from both sides.

[tex]2x - 8 = 6[/tex]

Add 8 to both sides.

[tex]2x = 14[/tex]

Divide both sides by 2.

[tex]x=7[/tex]

On a spelling test, Lucy got 4 out of 5 correct. If Lucy got
20 questions correct, then how many quesitons did she
miss?

Answers

Answer:

4

Step-by-step explanation:

Answer:

She missed 4 questions

Step-by-step explanation:

4/5=8/10=16/20

Triangle ABC is translated 5 units to the right and 4 units up to create triangle A'B'C'.
What is the measure of B?

Answers

I believe it is 74°. Because translations preserve size

The measure of the angle B is 74 degrees.

What is the angle sum property?

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

Triangle ABC is translated 5 units to the right and 4 units up to create triangle A'B'C'.

If triangle ABC is translated 2 units up and 2 units right, that means that all the vertices of the triangle are translated by the same units 2 up and 2 right.

The angle sum property of a triangle;

80 + 26 + B = 180

B = 180 - 106

B = 74

Therefore, the size and shape of the triangle wouldn't change.

The triangle A'B'C' will still have the same size and shape, and all the sides will have the same length.

Hence, the measure of the angle B is 74 degrees.

Learn more about the triangles;

https://brainly.com/question/2773823

#SPJ2

Helppppp please !!!!!​

Answers

Answer:

The answer is A) 1/8^2

Step-by-step explanation:

Both of the equations simplified equal 1/64.

A covered bridge is 8 yards long. In a painting for sale at a gallery, the bridge in the painting to the actual length of the bridge. One salesperson says the ratio in simplest form is 5/8. Another salesperson says the ratio in simplest form is 5/24. Which ratio is correct? What error leads to the incorrect ratio?

Answers

Answer:

The ratio that is correct is 5/24.

The error that leads to the incorrect ratio is working with the different units of length.

Step-by-step explanation:

Here is the complete question:

A covered bridge is 8 yards long. In a painting for sale at a​ gallery, the bridge is 5 feet long. A customer wants to know the ratio of the length of the bridge in the painting to the actual length of the bridge. One salesperson says the ratio in simplest form is 5/8 Another salesperson says the ratio in simplest form is 5/24 Which ratio is​ correct? What error leads to the incorrect​ ratio?

Step-by-step explanation:

From the question,

A covered bridge is 8 yards long and in a painting at the gallery, the bridge is 5 feet long.

To determine the ratio of the length of the bridge in the painting to the actual length of the bridge,

First, we will convert both lengths to the same unit and then divide the length of the bridge in the painting by the actual length of the bridge.

Convert 8 yards to feet

1 yard = 3 feet

∴ 8 yards = (8 × 3) feet = 24 feet

The actual length of the bridge is 24 feet

The length of the bridge in the painting is 5 feet

Hence, the ratio of the length of the bridge in the painting to the actual length of the bridge is 5 feet ÷ 24 feet = 5/24

Hence, the ratio that is correct is 5/24.

The error that leads to the incorrect ratio is working with the different units of length (that is, not converting both length to the same unit before determining the ratio).

6 : 4 is equivalent to

Answers

Answer:

12 : 8, 18 : 12, 24 : 16, 30 : 20

Step-by-step explanation:

These are the four after 6:4. I didn't know which you needed.

Answer:

3:2

Step-by-step explanation:

If you want to simplify 6:4, it also makes an equivalent equation. To simplify this, we divide by the greatest number that both numbers can be evenly divided by. 6 and 4 can both be divided by 2, which is the biggest number we can divide both numbers by.

6/2=3

4/2=2

The ratio is now simplified/equivalent to 3:2.

I hope this helps...have an amazing day c:

identify the slope of the line for the equation 1/6 x + 1/4

Answers

Answer:

y = 1/6x - 8/3

Step-by-step explanation:

The equation of a line in slope-intercept form is.

y = mx + b

where m represents the slope and b, the y-intercept.

Rearrange y + 2 = 1/6 (x - 4)  into this form

distribute bracket and simplify.

y + 2 = 1/6x - 2/3

⇒ y = 1/6x - 2/3 - 2

⇒ y = 1/6x - 8/3 ← in slope-intercept form

Order these from least to greatest: .25, 3/8, 7/12, 5/16, .5

Answers

So before I tell you the answer this is a bit of explanation:)


To make it easier change the fraction into decimals!

3/8 = .375

5/16 =.3125

7/12 = .583

.5 = 0.5

.25 = 0.25

So, according to my calculations I believe it goes like this: 0.25, 0.375, 0.3125, 0.5, .583

Really I am not sure if this is correct but I hope this helps you understand you can order it whatever way you want but make sure you understand the explanation :) have a great day!!

Find |x| when x = – 15.
HELP ME PLEASEE

Answers

Answer: 15

Step-by-step explanation: | | means the absolute value the absolute value of -15 is 15 because it is 15 units away from 0.

A taxi company charges a flat amount of $5.00 plus a rate of $3.00 per mile traveled.
If the total cost of the fare was $41.00, what’s the equation to determine the number of miles traveled. And what’s the total number of miles traveled if the fare was $41.00?

Answers

Answer: 12

Step-by-step explanation:

Answer:

[tex]y=3x+5[/tex]

12 miles

Step-by-step explanation:

You know that the total fare was $41 so you need to subtract 5 from that and you get $36. Then you need to divide that by 3 to find out what x is. When you od that you get 12. Now you know he traveled 12 miles

Hope this helps!

Mark Brainliest if you can!

0.75 (6+d)=12 step by steP

Answers

Answer:

Step-by-step explanation:

step 1:  0.75 x 6 = 4.5

step 2:   0.75 x d = 0.75d

step 3:    4.5 + 0.75d = 5.25d

It's correct answer

please help fast and expalin.

Answers

Answer: 10,000

Step-by-step explanation:Hope this helps!

let p= 1000, r = 0.05, and dn = 12. what is f(4)? round your answer two decimal places

Answers

50.00 i'm pretty sure

1Write an equation in slope intercept form for a line that contains the
points (-3.2) and (6, 1).

Answers

Answer:

y=-[tex]\frac{1}{9}[/tex]x+[tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Anne made a recipe for miniature bread loaves that called for StartFraction 7 Over 8 EndFraction of a cup of whole-wheat flour. If the recipe made 7 equal-sized loaves of bread, how many cups of whole-wheat flour did each loaf contain?

Answers

Answer:

1/8 of a cup

Step-by-step explanation:

The total amount of flour used in the recipe was 7/8 of a cup.

The recipe made 7 loaves. Each loaf has 1/7 of the total amount of flour.

1/7 * 7/8 = 1/8

Answer: 1/8 of a cup

Answer:

1/8

Step-by-step explanation:

Solve for x: 1 over 3 (2x − 8) = 4.

2
6
10

Answers

Answer:

the answer is x= 10

Step-by-step explanation:

Which statement is modeled by 2p + 5 < 11
Group of answer choices

The sum of 5 and 2 times p is at least 11

5 added to the product of 2 and p is less than 11

2 times p plus 1 is at most 11

the product of 2 and p added to 5 is 11

Answers

Answer: 5 added to the product of 2 and P is less than 11

The reason for this is because the inequality multiples 2 and the variable p, which is the product. Then, you have to add 5 to the product of 2p. Since the sign is opened towards the 11, this indicates that the sum of 5 and 2 times p is less than 11. Hope that helps!

The engineers designing the All Aboard Railroad between Boca Raton and Jupiter decide to create parallel tracks through this portion of the railway. To illustrate their plans to the county commission, they use a coordinate plane. The southbound track will have an equation of 2x + 5y = 15. What is the equation of the parallel northbound track that runs through the point (4, – 2)?

Answers

Answer:

there are no signs between the x and y and constant

it could be

2x+5y=15

2x+5y=-15

-2x+5y=15

2x-5y=15

for ax+by=c, the equation of a line paralell to that is

ax+by=d where a=a, b=b, and c and d are constants

(for this answer, I'm going to use 2x+5y=15)

given 2x+5y=15, the equation of a line paralell to that is 2x+5y=d

to find d, subsitute the point (4,-2), basically put 4 in for x and -2 for y to get the constant

2x+5y=d

2(4)+5(-2)=d

8-10=d

-2=d

the eqaution is 2x+5y=-2 (Only if the original equation is 2x+5y=-15

pls mark me brainlest

Answer:

2x+ 5y= -2

Step-by-step explanation:

Write an equivalent expression to the following: 1/2 (-6x + 8) – 7

Answers

Answer:

-3x -3

If this is not the answer you are looking for plz let me know!!!

Answer:

-6x+8=14

Step-by-step explanation:

1/2*(-6x+8)-7 |+7

1/2*(-6x+8)=7 | ÷1/2

-6x+8=14

You mean sth like this?

Felipe and Makayla each tried to solve the same
equation for x.
Original equation: 2x + 6 = 3x - 8
The result of Felipe's first step was -x + 6 = 8.
Describe the first step Felipe made to the equation

Answers

Felipe subtract 3x from both side to get rid of x on one side. Ik this isn’t part of the answer but the correct way to do this would be to subtract 2x from each side after adding 8 to each side of the equation

Felipe in the first step shifted 3x from R.H.S. to L.H.S. as -

2x - 3x + 6 = 8

What is a function?

An expression in mathematics defines a relationship between one variable (the independent variable, x)  and another variable (the dependent variable, y). For example -

f(x) = 4x + 6

Given is the equation equating two functions as -

2x + 6 = 3x - 8

We have -

2x + 6 = 3x - 8

2x - 3x + 6 = 8

-x + 6 = 8

Therefore, Felipe in the first step shifted 3x from R.H.S. to L.H.S. as -

2x - 3x + 6 = 8

To solve more questions on functions, visit the link below -

brainly.com/question/26182329

#SPJ5

Does anyone know this?

Answers

Answer: i cant read what it says

Step-by-step explanation:

get closer

3(-4/7) I don’t know how to get the answer

Answers

Answer:

Step-by-step explanation:

if its 3 - 4/7 then it = 2 3/7

if its 3*-4/7 then it = -12/7 = - 1 5/7

You have a sandbox that can only fit no more than 30 cubic feet of sand. At the store, each bag only contains 2.5 cubic feet of sand.

Write and solve an inequality that represents the number of bags b you need to buy.

Answers

Answer:

2.56≥30

b≥12

Step-by-step explanation:

which expression is equivalent to -10 (-40) + (-90) ?

A. 10 + 40 + 90

B. -(10-40) + (-90)

C. -10 - (40 - 90)

D. -10 + (-90) + (-40)


PLS HELP

Answers

Answer:B

Step-by-step explanation:-10 times -40 is -400 times -1 is 400.

Round the number 1258 into significant figures

Answers

Answer:

1 sig fig = 1

2 sig fig = 13

3 sig = 126

4 sig fig 1258

Step-by-step explanation:

I think that's what you're asking but I'm not sure

Triangle XYZ has coordinates:X (-5,-2)Y (-7,-6)Z(-3,-6). If thetriangle rotates 90° clockwise, what are the coordinates of Y’?

Answers

Answer:

(-6, 7)

Step-by-step explanation:

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