for function of g,g(0)=1 and g(1)=5 assuming g is a linear function what is g(3)

Answers

Answer 1

Answer:

[tex]g(3) = 13[/tex]

Step-by-step explanation:

Given

[tex]g(0) = 1[/tex]

[tex]g(1) = 5[/tex]

Required

Find g(3)

Since g(x) is a linear function, then:

[tex]g(x) = mx + c[/tex]

For: [tex]g(0) = 1[/tex]

[tex]g(x) = mx + c[/tex]

[tex]g(0) = m*0 + c[/tex]

[tex]1 = 0 + c[/tex]

[tex]1 = c[/tex]

[tex]c = 1[/tex]

For: [tex]g(1) = 5[/tex]

[tex]g(x) = mx + c[/tex]

[tex]g(1) = m * 1 + c[/tex]

[tex]5 = m * 1 + c[/tex]

[tex]5 = m + c[/tex]

Substitute [tex]c = 1[/tex]

[tex]5 = m + 1[/tex]

[tex]m = 5 - 1[/tex]

[tex]m =4[/tex]

So, the function is:

[tex]g(x) = mx + c[/tex]

[tex]g(x) = 4x + 1[/tex]

Calculate g(3)

[tex]g(3) = 4*3 + 1[/tex]

[tex]g(3) = 12 + 1[/tex]

[tex]g(3) = 13[/tex]


Related Questions

Rotate rectangle CDEF with C{-4.0). D1-1,-1), E(-3,-7), and F(-6,-6) 90° counterclockwise about the origin. What are the coordinates of ΕΡ JU​

Answers

Please do not click red neck cake links. But I do not know. Be advised to NOT click any links!

Uhh help?? I’m highly confused I just want answers

Answers

Answer:

1) x = 5√3, y = 5

2) x = 16, y = 8

3) x = 10, y = 5

4) m = 9√15/10, n = 9√5/10

5) x = 3√3/2, y = 3/2

6) x = 6√5, y = 3√5

7) x = 5, y = 5

8) x = 5√2, y = 5

9) a = 2, b = √2

10) m = 10√6/3, n = 5√6/3

Explanation:

For special right triangles, there is a certain side ratio that applies due to the angle measurements which are opposite of the corresponding angles.

For 30° - 60° - 90° triangles (Scalene Right), we can use x as a marker for the side opposite of 30°, the side opposite of the 60° angle will be x√3, and the side opposite of the 90° angle will be 2x.

For 45° - 45° - 90° triangles (Isosceles Right),

Both 45° angles can be thought of as x, and the 90° angle can be thought of as x√2.

This is all computed as a result of the trigonometric functions:

SOH CAH TOA.

This is a shortcut for these specific triangles.

If you do not have the side marked as x, just do the inverse operation to get it.

90° is always opposite of the hypotenuse (longest side of a triangle; looks like a slant)

3. State if each statement is correct. If it is not correct, then fix the mistake.

For three problems explanation and work needed

SOON ASP!!!! please.

Answers

Answer:

All are incorrect

Step-by-step explanation:

Required

Determine which is correct or not

[tex](a)\ 2x * 2x = 4x[/tex]

This is incorrect because:

[tex]2x * 2x = 2 * 2 * x*x[/tex]

[tex]2x * 2x = 4x^2[/tex] ---- fixed

[tex](b)\ 3x^3 * 3x^3 = 9x^9[/tex]

This is incorrect because:

[tex]3x^3 * 3x^3 = 3 * 3 * x^3 * x^3[/tex]

[tex]3x^3 * 3x^3 = 9x^(3+3)[/tex]

[tex]3x^3 * 3x^3 = 9x^6[/tex] ---- fixed

[tex](c)\ 4x(4x + 5) =8x + 5[/tex]

This is incorrect because:

[tex]4x(4x + 5) =4x * 4x + 4x * 5[/tex]

[tex]4x(4x + 5) =16x^2 + 20x[/tex] ---- fixed

If a quadrilateral has these known angle degrees: 35, 35 and 145, what are the degrees of the fourth angle?

Answers

Answer:

145

Step-by-step explanation:

The total sum of all the angles is 360 degrees. If we add up 35, 35, and 145 we get 215. 360-215=145.

Answer in the attachment :)

Answers

I think it's c hope it's right

Find Value of x. The diagram is not to scale.

Answers

Answer:

x = 45

Step-by-step explanation:

180 - 106 = 74

74 + 61 = 135

180 - 135 = 45

45 = x

The hypotenuse of a certain triangle is 5 units long and one leg is 3 units long
Did the area of the triangle

Answers

Answer:

6 units^2

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]3^{2} +b^{2} =5^{2}[/tex]

[tex]9+b^{2} =25[/tex]

[tex]b^{2}=16[/tex]

[tex]b=4[/tex]

Area of the triangle = Base * Height * 1/2 = 3 * 4 * 1/2 = 6 units^2

i only need the awnser for questions 4 and 2 because i dont get them

Answers

Answer:

2) 20 students

4) 28 students

Question 2 is 25% - but it's asking how many. If you know the total number of students multiply that times .25 and that number is your answer. So .25 x 80 = 20

Question 4 is 35% also multiplied times the total number of students. So it would be the total number of students multiplied times .35.

So .35 x 80 = 28

Both of these questions want the number of students, not the percent.

Which statement best describes the association between variable X and variable Y?

perfect negative association

moderate positive association

no association

strong negative association

Answers

Answer:

no association

Step-by-step explanation:

I just took the k12 test.

A Jar contains 125 marbles. Given 3% of the marbles are green, 9% of the marbles are blue, and the rest are red, how many red marbles are in the jar? There are red marbles in the jar?

Answers

Answer:

111 red balls

Step-by-step explanation:

125×0.03= 3.75 3balls

125×0.09=11.25 11balls

125-3-11=111

111 is red

Eli is feeling gift bags each bag will have three baseball cards which number sentence could either used to find how many bags he can fill if he has 21 cars

Answers

Answer:

7

Step-by-step explanation:

if he has to be 3 in each baseball card and has 21 cards then you would divide 21 by 3 and get 7 which is your answer.

Find the volume.
PLEASE HELP I WILL GIVE BRAINLIEST TO THE RIGHT ANSWER

Answers

the answer is 1,944. the formula of volume is length times width times height

Can someone help me pls I’m stuck

Answers

Answer:

Given quadrilateral can't be inscribed in a circle.

Step-by-step explanation:

Property of a cyclic quadrilateral,

Sum of opposite angles of a cyclic quadrilateral is 180°

If the given quadrilateral fulfills this property, it can be inscribed in a circle.

From the given quadrilateral,

Sum of opposite angles = 168° + 22°

                                        = 190°

Therefore, answer is NO.

Given quadrilateral can't be inscribed in a circle.

i need help please i did not understand

Answers

Answer:

Step-by-step explanation:

Add up all the values for the height and divide by 9. do the same for the leaf scars.

Plz help me well mark brainliest if correct!!

Answers

Answer:

Midnight (D)

Step-by-step explanation:

write a mathematical equation and calculate the area of the irregular polygon

Answers

3)5/6)=x 36-508-7392

PLEASE HELP ASAP REAL ANSWERS ONLY OR WILL BE DELETED! 20 PTS!!

I just need someone to do this for verification of my work:


What is the volume of the composite figure if both the height and the diameter of the cylinder are 2.5 feet? Give the exact answer and approximate to two decimal places.

Answers

Answer:

16.36ft³

Step-by-step explanation:

First find the volume of the cylinder the add to the volume of the hemisphere.

I hope this helps.Its a trial btw feel free to delete if its not right lmmao

Answer:

16.36 ft3

Step-by-step explanation:

Volume of a Cylinder

V= π  r2 h

π • 1.253 • 2.5 = 12.27ft3

Volume of a Hemisphere

2 • π • 1.253

​2 • π • 1.95

12.26 /3 = 4.09 ft3

Both

4.09 ft3 + 12.27 ft3 = 16.36 ft3

Data and
ts
Which data set could be represented by the box plot shown below?
Ots
ng box
+
box plot
25
28
31
34
37
40
ole: Creating
number of
Choose 1 answer:
Sle: Creating
n number
25, 28, 28, 29, 30, 34, 35, 37, 37, 38
25, 28, 29, 29, 30, 34, 35, 35, 37, 38
ting box
25, 28, 29, 29, 32, 34, 35, 36, 37, 38
ox plots
25, 28, 29, 29, 30, 34, 35, 35, 37, 40
preting

Answers

Answer: is D on khan academy


Is Urgent ......The satisfaction that consumers get from their purchases is known as what?
A. Materialism
B. Marginalism
C. Subjectivity
D. Utility

Answers


“Subjectivity” is the answer i believe .

Answer: D

Step-by-step explanation:

Fits the definition

The figure below shows the dimensions of an arrow painted on the pavement of a parking lot. The entire length of the arrow is 6.5 feet (ft.). What is the area of the arrow?

Answers

Answer:

62.5 I think

Step-by-step explanation:

A painter took 15 hours to paint 12 rooms in a building. Choose all true statements about the painter's rate of speed

Answers

Answer: It’s B E and D

Step-by-step explanation:

Mrs Lee is setting up chairs for a band concert. The front row will have ten chairs. Thereafter each row will have four more chairs than the front row in front of it. Mrs Lee knows that there will be five rows. How many chairs will she need?

Answers

Hey Bestie it 90 chairs

3p + 10 = 2p + 21

a. 15
b. 17
c. 11
d. 21​

Answers

Answer:

c.  11

Step-by-step explanation:

3p + 10 = 2p + 21

Subtract 2p from both sides.

3p - 2p + 10 = 2p - 2p + 21

Simplify.

p + 10 = 21

Subtract 10 from both sides.

p + 10 - 10 = 21 - 10

Simplify.

p = 11

Answer: c.  11

Answer:

c.11

Step-by-step explanation:

3+10=2+21

3+10−10=2+21−10

3=2+11

3−2=2+11−2p

=11

hope this helps

have a nice day

What is the lateral area of the pyramid

Answers

Answer:

43.75 ft²

Step-by-step explanation:

[tex]s_l[/tex] = (l√(w/2)² + h²) + (w√(l/2)² + h²)

l & w become 3.5, and h becomes 6.

[tex]s_l[/tex] = (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)

Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.

[tex]s_l[/tex] = 2(3.5√(3.5/2)² + 6²)

Step 2: Divide 3.5 by 2 to get 1.75.

[tex]s_l[/tex] = 2(3.5√1.75² + 6²)

Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.

[tex]s_l[/tex] = 2(3.5√3.0625 + 36)

Step 4: Add 3.0625 and 36 to get 39.0625.

[tex]s_l[/tex] = 2(3.5√39.0625)

Step 5: The square root of 39.0625 is 6.25.

[tex]s_l[/tex] = 2(3.5 * 6.25)

Step 6: Multiply 3.5 by 6.25 to get 21.875.

[tex]s_l[/tex] = 2(21.875)

Step 7: Multiply 2 by 21.875 to get 43.75.

[tex]s_l[/tex] = 43.75 ft²

The lateral area of this pyramid is 43.75 ft².

The slope of the line whose equation is 2x + 5y + 1 = 0 is
0-2/5
05/2
0-1/5

Answers

Answer:

0-2/5

I think this is it ;-;

GIVING 30 POINTS!!!!!!!

Answers

Answer:

MEAN

Step-by-step explanation:

Have a Great Day!

Answer:

Not quite sure, but I think its the mean?

what is the range of magazines sold?


please answer will give brainliest

Answers

Answer:

range: 8

Step-by-step explanation:

In order to find the range you need the minimum and maximum

minimum: 17

maximum: 25

Subtract

25-17=8

Suppose you roll a special 34-sided die. What is the probability that the number rolled is a "1" OR a "2"?

Answers

Rolling a 1 or a 2 are mutually exclusive events (if you roll a 1, you could not have rolled a 2, and vice-versa), so the probability here is additive:

P(1 or 2) = P(1) + P(2) = 1/34 + 1/34 = 2/34 = 1/17.

So the probability of rolling a 1 or a 2 is 1/17.

If you were flipping a coin, and needed to get 2 heads in a row, what is the probability of getting two heads in a row. Use your probability tree to help. /

Answers

Answer:

1/4

Step-by-step explanation:

If you flip it twice the possible outcomes are

H   H

H   T

T    H

T    T

The chances of you getting H H is 1 / 4.   If you flip it more than twice, the probability changes. Let's try three times. That gives you 8 different choices.

H   H    H     *

H   H    T      *

H   T    H

H   T   T

T   H   H        *

T   H   T    

T   T    H

T   T    T

What this gives is 3 chances out of 8 which is 0.375 and that's better than 0.25

Four would give you an even better result, There are 16 ways of flipping a coin 4 times. The successful results are

H H H H

H H H T

H H T T

H H T H

T H H T

T T H H

H T H H

I'm sure there might be a couple of more, but already you have done better than 3/8

7/16 is almost 1/2

7/16 = 0.4375

I think however that the answer you should submit is 1/4

Kevin has 6 pounds of ham to make 12 sandwiches. He puts the same amount of ham on each sandwich. Which statement about Kevin’s sandwiches is true?

1.Each sandwich has one half pound of ham.
2. Each sandwich has 1 pound of ham.
3. Each sandwich has 2 pounds of ham.
4. Kevin has one half pound of ham left over.

Answers

statement 1 b/c 6/12 = 1/2

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