Let f (x) = 3x + 1 and let g(x) = x - 1. Find (fog) (5)
0 0
O 15
O 4
O 7

Answers

Answer 1

Answer:

13

Step-by-step explanation:

(fog)=3(x-1)+1

ie puting the function of g in f

so (fog)= 3x-3 + 1= 3x-2

finding fog

(fog)(5)= 3(5)-2

ie sub stitute 5 in x

(fog)(5)=15-2=13


Related Questions

The sum of twice a number and 9 is-25

Answers

The answer is in the picture with steps on how to get it

Can someone please help me with this I’m struggling

Answers

Answer:

Equation:  [tex]70=(x+3)x[/tex]

x = -10 or x = 7

x = 7 (width can't be negative)

x + 3 = 10

Step-by-step explanation:

Represent the width of the rectangle by  x.  "The length of a rectangle EXCEEDS the width by 3" means the length is 3 LONGER than the width, so the length is represented by the expression  x + 3.

Area = (length)(width)

70 = (x + 3)x

Multiply out the right side.

[tex]70=x^2+3x\\x^2+3x-70=0[/tex]

Factor the left side.

[tex](x+10)(x-7)=0[/tex]

Each binomial could equal 0, so

[tex]x+10=0 \text{ or }x-7=0\\x=-10\text{ or }x=7[/tex]

The negative solution does not make sense as the width of a rectangle.

x = 7, making the length, x + 3 = 10

Answer:

Pls mark this as brainiest

Step-by-step explanation:

Area of the rectangle = length x breadth

consider 'x' to be width

therefore length = x+3

area = (x+3)*x

Area = 70 square

x = 7

x+3 = 7+3

      = 10

verification

7 x 10

= 70

Please i need help lllll

Answers

Answer:

C

Step-by-step explanation:

A function x values must correspond to one y values.

One y values can correspond to two different x values.

C shows this isn't a function

C Hope this helps!!!

a company's stock was selling at 28 a share. a month later, it was selling at 21 a share. what is the percent loss?

Answers

Answer:

25% loss

Step-by-step explanation:

Take the original amount and subtract the new amount

28 -21 = 7

Divide by the original amount

7/28 = .25

Change to percent form

25%

25% loss

11.(02.03)
The table shows the solution to the equation |2x - 31 - 1 = 2:
Step 1 |2x - 3) = 2 + 1
Step 2 12x - 3| = 3
Step 3 2x - 3 = 3 or 2x + 3 = 3
Step 4 2x = 6 or 2x = 0
Step 5 x = 3 or x = 0
Which is the first incorrect step? (1 point)
O Step 1
O Step 3
Step 5
O Solution is correct

Answers

Answer:

step number 1 is incorrect.

Step-by-step explanation:

Here is the solution of this equation [2x-31-1=2].

2x-31-1=2

or 2x-31=2+1

or 2x=2+1+31

or 2x= 34

or x=34/2

or x= 17

the answer of this equation is X=17.

Answer:

Step 1

Step-by-step explanation:

What are the coordinates of the midpoint between the points (-4, -9) and (-8, -5)? Select the best answer from the choices provided. A. (-4, -4) B. (-6, -7) C. (-6, -4) D. (-4, -7)

Answers

B). (-6,-7)

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

explain why the following equation is nonlinear. y=3x^5

plz help

Answers

Answer:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be  0  or  1  for each of its variables. In this case, the degree of variable  y  is  1  and the degree of variable  x  is  5 .

Therefore, it is not linear.

How to find a parallel sides of trapezium length 7.3mm and 5.3mm ,and it's height is 5mm calculate the area of a trapezium

Answers

Answer:

31.50 mm²

Step-by-step explanation:

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

It has 4 vertices and edges

If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram

Area of a trapezoid =  1/2 x (sum of the lengths of the parallel sides) x height

1/2 x ( 7.3 + 5.3) x 5 = 31.50 mm²

TJ’s Cat Food plans to use tins that are the shape of cylinders. The internal measurements of a tin are shown.

(b ) Work out the volume of cat food that the tin contains.

Answers

Answer:

113 cm³

Step-by-step explanation:

The volume of the cat's food that the container would contain = volume of cylinder = πr²h

Where,

π = 3.14

r = ½(6) = 3 cm

h = 4 cm

Volume = 3.14 × 3² × 4

Volume = 3.14 × 9 × 4 = 113.097336

≈ 113 cm³

Find the volume of this cylinder. Use 3 for .
10 in
V = r2h
11 in
V [?]in

Answers

Answer:

825 in^3

Step-by-step explanation:

The volume of a cylinder is

V = pi r^2 h  where r is the radius and h is the height

We are given the diameter of 10

The radius is 1/2 of the diameter of 1/2 (10) = 5

V = (3) * (5)^2 * 11

V = 3( 25)*11

   = 825 in^3

Answer: 825 in³

Step-by-step explanation:

Volume = πr²h, where:

π = 3r = 10/2 = 5h = 11

Therefore, the volume of this cylinder can be calculated as:

3 · 5² · 11 = 3 · 25 · 11 = 75 · 11 = 825 in³

Bud bought 2 kissing fish for $4.75 each. He bought a small aquarium for$19.95. How much did Bud spend? What is the answer

Answers

Answer:

29.45

Step-by-step explanation:

Cost of the fish

2 * 4.75 = 9.50

Cost of the tank

19.95

Add them together

9.50+19.95

29.45

Answer:

29.45$

Step-by-step explanation:

total=2×4.75$+19.96$

=29.45$

Find out the values of x and y from the following ordered pairs.
(x + y, 2) = (13, 2x – y)

Answers

Answer:

(x, y) = (5,8)

Step-by-step explanation:

Comparing the ordered pairs we get, x+y=13 and 2=2x-y. Solving it we will get, x=5 and y=8

Tulio will invest​ $1,000,000 at​ 5% annual interest. Determine how much money will Tulio have after 10 years if the interest is calculated using the following methods.

Answers

Answer:

$1,500,000

Step-by-step explanation:

Given

Principal = $1,000,000

Rate = 5%

Time = 10years

Interest = PRT/100

Interest = 1000000*5*10/100

Interest = 100000*5

Interest = $500,000

Amount after 10years =  $1,000,000+ $500,000

Amount after 10years = $1,500,000


At the bulk food store, Jerry bought 200 g of mixed nuts that cost $2.50. What is the cost of 1 g of nuts? show ur work

Answers

Step-by-step explanation:

200g=$2.50

1g=?

2.50*1=?*200

2.50/200=?

$0.0125

What should be done so that the expression will have a value of 28?

6 + 2 + 32 × 2

Answers

Answer:

6+2+(32×2)

6+2+(64)

8+64

72

difference between 72 and 28

72-28

=44

add 44 to make the value 28


Question 4(Multiple Choice Worth 4 points)
.
(08.03)Solve the system of equations and choose the correct answer from the list of options.
X + y = -3
y = 2x + 2

a- five over 3, four over 3
b-negative five over 3, negative four over 3
c- negative 3 over 5 negative 3 over 4
D- 3 over 4, 3 over 5

Answers

Answer:

Hello,

Answer B (-5/3,-4/3)

Step-by-step explanation:

I am going to use the substitution 's method.

[tex]\left\{\begin{array}{ccc}x+y&=&-3\\y&=&2x+2\\\end {array} \right.\\\\\\\left\{\begin{array}{ccc}y&=&2x+2\\x+2x+2&=&-3\\\end {array} \right.\\\\\\\left\{\begin{array}{ccc}y&=&2x+2\\3x&=&-5\\\end {array} \right.\\\\\\\left\{\begin{array}{ccc}x&=&-\dfrac{5}{3} \\\\y&=&2*(-\dfrac{5}{3})+2\\\end {array} \right.\\\\\\\boxed{\left\{\begin{array}{ccc}x&=&-\dfrac{5}{3} \\\\y&=&-\dfrac{4}{3}\\\end {array} \right.\\}[/tex]

Write An expression of the fourth degree with a leading coefficient of 5, a quadratic term with a coefficient of 3, a linear term with a coefficient of -8 and a constant of six. ​

Answers

Answer:

[tex] {5x}^{4} + 3 {x}^{2} - 8x + 6[/tex]

Step-by-step explanation:

Math

what is the remainder when 3 is synthetically divided into the polynomial -2x^2 + 7x -9

Answers

Answer:

-6

Step-by-step explanation:

-6 is the answer .

Hope it helps you

Answer:

-6

Step-by-step explanation:

{(2,1), (4,2) (6,3) (8,4)} is what type of relation?
a. many-to-many
b. one-to-many
c. many-to-one
d. one-to-one

Answers

The given relation {(2,1), (4,2) (6,3) (8,4)} is one to many relation.

The other solution for this problem is given below.

The pattern is the sum of the two numbers plus the previous sum, i.e.

12 = 2+5 +(5)

21 = 3+6+ (12)

40 = 8+11 +21

These type of questions are part of reasoning and comes in random competitive exams which have multiple choice questions and therefore you have more than you want.

First , you need to multiply both numbers and then add the first number.

Therefore, 1+4= 1x4+1=5

2+5=2×5+2=12

3+6=3×6+3=21

What is the many to one relation?

A many-to-one relationship is where one entity (typically a column or set of columns) contains values that refer to another entity (a column or set of columns) that has unique values.

Hence,8+11=8×11+8=96

The other solution for this problem is given below.

The Solution for this is

1+4=5

1(4+1)=1(5)=5

2+5=12

2(5+1)=2(6)=12

3+6=21

3(6+1)=3(7)=21

Therefore we get,

8+11=8(11+1)=8(12)=96.

Therefore the given relation is any one to many relation.

To learn more about the relation visit:

https://brainly.com/question/1579288

Find the distance between the
following points using the
Pythagorean theorem: (5, 10)
and (10, 12)

Answers

Answer:

[tex]\displaystyle d = \sqrt{29}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Step-by-step explanation:

*Note:

The distance formula is derived from the Pythagorean Theorem.

Step 1: Define

Identify

Point (5, 10)

Point (10, 12)

Step 2: Find distance d

Substitute in points [Distance Formula]:                                                         [tex]\displaystyle d = \sqrt{(10 - 5)^2 + (12 -10)^2}[/tex][√Radical] (Parenthesis) Subtract:                                                                   [tex]\displaystyle d = \sqrt{5^2 + 2^2}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle d = \sqrt{25 + 4}[/tex][√Radical] Add:                                                                                                  [tex]\displaystyle d = \sqrt{29}[/tex]

Ram thinks of a number if he adds 3 to 5 times the number he gets 38. what is the number?​

Answers

Answer:

7

Step-by-step explanation:

Set up an equation to model the situation. Let (x) represent the unknown number.

(5x) + 3 = 38

Use inverse operations to solve for the unknown,

(5x) + 3 = 38

5x = 35

x = 7

which linear function shows a direct variation

Answers

Answer:

a pod t.v. Ka ssh Mic yummy

The tempteture falls from 11 degrees to -2 degrees how much degres fell

Answers

13 degree temperature fell

Help anyone can help me do this question,I will mark brainlest.​

Answers

Answer:

Answer is in attached image

I hope it help...

Question 4 of 5
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used
Match each explicit formula to its corresponding recursive formula.
(8) = 5(5)(1-1)
(n) = 3 +5(n-1)
(3) = 5+3(1-1)
7(n) = 3(5)(n-1)
$(n) = 5 +5(n-1)
f(1) = 5
(*) = 3;(n - 1), for 3
(1) = 5
(n) = f(n-1) +5, for n?
f(1) = 5
f(n) = f(n-1) + 3, for n?

Answers

Given:

The recursive formulae.

To find:

The correct explicit formulae for the given recursive formulae.

Solution:

If the recursive formula of a GP is [tex]f(n)=rf(n-1), f(1)=a, n\geq 2[/tex], then the explicit formula of that GP is:

[tex]f(n)=ar^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

The first recursive formula is:

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

[tex]f(n)=3f(n-1)[/tex] for [tex]n\geq 2[/tex].

It is the recursive formula of a GP with a=5 and r=3. So, the required explicit formula is:

[tex]f(n)=5(3)^{n-1}[/tex]

Therefore, the required explicit formula for the first recursive formula is [tex]f(n)=5(3)^{n-1}[/tex].

If the recursive formula of an AP is [tex]f(n)=f(n-1)+d, f(1)=a, n\geq 2[/tex], then the explicit formula of that AP is:

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

Where, a is the first term and d is the common difference.

The second recursive formula is:

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

[tex]f(n)=f(n-1)+5[/tex] for [tex]n\geq 2[/tex].

It is the recursive formula of an AP with a=5 and d=5. So, the required explicit formula is:

[tex]f(n)=5+(n-1)5[/tex]

[tex]f(n)=5+5(n-1)[/tex]

Therefore, the required explicit formula for the second recursive formula is [tex]f(n)=5+5(n-1)[/tex].

The third recursive formula is:

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

[tex]f(n)=f(n-1)+3[/tex] for [tex]n\geq 2[/tex].

It is the recursive formula of an AP with a=5 and d=3. So, the required explicit formula is:

[tex]f(n)=5+(n-1)3[/tex]

[tex]f(n)=5+3(n-1)[/tex]

Therefore, the required explicit formula for the third recursive formula is [tex]f(n)=5+3(n-1)[/tex].

Using the theorems and given information, which of the following proves a∥b?

Given: m∠3=(12x+24)∘, m∠5=(10x+40)∘, and x=8

Answers

Answer:

m∠3=12(8)+24=120

m∠5=10(8)+40=120

m∠3=m∠5,∠3=∠5

OAmalOHopeO

how much ounces are in 22 grams 0.035x

Answers

Answer:

0.77 ounces

My apologies if my answer is wrong :)

Answer:

0.77

Step-by-step explanation:

Can someone help me with this math homework please!

Answers

Answer:

Graph number 3 is correct :)

Answer:

It's the 3rd pic

Step-by-step explanation:

It's written in y=mx+b form

the m is slope so 2/3 is the slope. You go up 2 and right 3

b is the y-intercept

hope this helps

A telephone plan charges a regular monthly amount plus charges for the number of minutes of use (x) as shown in the equation y = 0.28x + 65. What are the slope and y-intercept? HELP

Answers

Answer:

Slope: 0.28

y-intercept: (0,65)

Answer:

slope: .28 y-int: 65

because y=mx+b m is slope and b is the y intercept

HELP QUICK PLEASE!

Which postulate, if any, could be used to prove the triangles are congruent?
Hypotenuse-Leg (HL)
Side-Angle-Side (SAS)
O Side-Side-Side (SSS)
The triangles cannot be proved congruent.

Answers

Answer:

Side-Side-Side (SSS)

Step-by-step explanation:

Side-Side-Side is a rule used to prove whether a given set of triangles are congruent. The SSS rule states that: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

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