All categories

2 years ago

If f(x) = 2x – 1 and g(x) = 3x + 5, then (f o g)(x) is equal to

Mathematics

1 answer:

Vlada [557]2 years ago

8 0

Answer:

(f◦g)(x) = 6x +9

Step-by-step explanation:

Use g(x) as the argument to f(x) and simplify.

(f◦g)(x) = f(g(x)) = f(3x +5) = 2(3x +5) -1

(f◦g)(x) = 6x +9

You might be interested in

In the figure shown e is the midpoint of segment bd and ae = ec . choose the correct statement(s)

forsale [732]

Answer:

Triangle ABE and triangle CDE are congruent by using SAS theorem.

Step-by-step explanation:

It is given that e is the midpoint of BD and $AE=EC$ .

$BE\cong DE$ (E is midpoint of BD)

Angle AEB and angle CED are vertical opposite angle and the vertical opposite angles are always same.

$\angle AEB\cong \angle CED$

$AE=EC$ (Given)

So by using SAS theorem of congruent triangles.

$\triangle ABE\cong \triangle CED$

Therefore triangle ABE and triangle CDE are congruent by using SAS theorem.

5 0

3 years ago

Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volum

Mazyrski [523]

Question:

Karina has recently begun kickboxing and purchased training equipment as modeled in the diagram below. The cylindrical base is 15 inches tall with a diameter of 22 inches.

Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volume).

Answer:

$Section = 4847.3205\ in^3$

Step-by-step explanation:

Given

$h = 15in$ -- height

$d = 22in$ -- diameter

Required

85% of the volume

First, calculate the radius

$r = \frac{1}{2} * d$

$r = \frac{1}{2} * 22= 11in$

The volume (V) is then calculated using:

$V = \pi r^2h$

$V = 3.142* 11^2 * 15$

$V = 5702.73\ in^3$

85% of the volume is:

$Section = 85\% * V$

$Section = 85\% * 5702.73\ in^3$

$Section = 4847.3205\ in^3$

3 0

2 years ago

I need some help. Thanks!

oee [108]

Simplified to its simplest form, your answer would be 20%. Since there are 30 students in total, and 6 of them are male sophomores, you would have 6/30. This can be simplified down to 2/10 and even further to 1/5. In decimals, this becomes 0.2, which as a percent becomes 20%.

4 0

3 years ago

Use long or synthetic division to find the following quotients (x^3+2x^2!22x-45)÷(x+5)

svetoff [14.1K]

Answer:

$\boxed{\textsf{ The quotient is $\sf x^2-3x-7$ and the remainder is (-10).}}$

Step-by-step explanation:

Here we will be using long division method to find the quotient . Here we need to divide (x³+2x²-22x-45) and (x+5) . So lets divide .

x+5) x³+2x²-22x-45 ( x² -3x -7

x³ + 5x²

- -

______________

- 3x²-22x -45

-3x² -15x

+ +

______________

-7x -45

-7x -35

______________

-10

Quotient = x² -3x -7

Remainder = (-10)

<h3>★Hence the quotient is x² -3x -7 and the remainder is (-10) .</h3>

7 0

3 years ago

what statement require's proof before it's acceptable as a true statement? ...... A. defined terms B. postulate .C. undefined te

DaniilM [7]

Answer:

D. Theorem

Step-by-step explanation:

6 0

2 years ago