question 1:
[tex]f(x) = {x}^{2}[/tex]
and
[tex]k(x)=2x + 1[/tex]
im supposed to simplify
[tex](k \times f)(x)[/tex]

Answers

Answer 1

Answer:

(k × f)(x) = 2x³ + x²

General Formulas and Concepts:

Algebra I

FunctionsFunction NotationExpand by FOIL

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x²

k(x) = 2x + 1

(k × f)(x) = k(x)f(x)

Step 2: Find

Substitute in functions:                                                                                     (k × f)(x) = x²(2x + 1)Expand [FOIL]:                                                                                                  (k × f)(x) = 2x³ + x²

Related Questions

can somebody help me with this​

Answers

Answer:

If AB and CD are perpendicular, (slope of AB) x (slope of CD) = -1

9/a = -1

a = -9

Answer:

-9

Step-by-step explanation:

flip and change the sign of [tex]\frac{3}{4}[/tex]

[tex]\frac{4}{-3}[/tex]

set equal to each other

[tex]\frac{4}{-3}[/tex] = [tex]\frac{12}{a}[/tex]

cross multiply

4a = -36

divide by 4

a = -9

Given DC = 27, A F=46, find BC.

Answers

Answer:

23

Step-by-step explanation:

BC is parallel to AtoF

BC = (1/2)AtoF

BC = (1/2)46

BC = 23

The length of side BC will be 23. Option C is corect.

What is the triangle?

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

nejsjsj show your working pls​

Answers

Answer:

[tex] V = U + at[/tex]

Step-by-step explanation:

Given the following data;

Initial velocity = 0 (since the stone is starting from rest).

Final velocity = 32 m/s

Acceleration = g = 10 m/s²

Time = 3.2 seconds

To show that the speed of the stone when it hits the ground is 32 m/s, we would use the first equation of motion;

[tex] V = U + at[/tex]

Where;

V is the final velocity. U is the initial velocity. a is the acceleration. t is the time measured in seconds.

Substituting into the formula, we have;

[tex] 32 = 0 + 10*3.2[/tex]

[tex] 32 = 0 + 32 [/tex]

[tex] 32 = 32 [/tex]

Proven: 32 m/s = 32 m/s

f(x) = x2 What is g(x)?
5+
[f(x)
V
g(x)
(3, 3)
-5-
A. g(x) = 6x2
O B. 90%)-

Answers

Given:

The parent function is:

[tex]f(x)=x^2[/tex]

The graphs of f(x) and g(x) are given.

The graph of g(x) passes through the point (3,3).

To find:

The function g(x).

Solution:

From the given graph, it is clear that the graph of f(x) compressed vertically to get the graph of g(x). So,

[tex]g(x)=kf(x)[/tex]

Where, k is the stretch factor.

It can be written as:

[tex]g(x)=kx^2[/tex]                 ...(i)

The graph of g(x) passes through the point (3,3). Putting [tex]g(x)=3,x=3[/tex] in (i), we get

[tex]3=k(3)^2[/tex]

[tex]3=k(9)[/tex]

[tex]\dfrac{3}{9}=k[/tex]

[tex]\dfrac{1}{3}=k[/tex]

Putting [tex]k=\dfrac{1}{3}[/tex] in (i), we get

[tex]g(x)=\dfrac{1}{3}x^2[/tex]

Therefore, the correct option is D.

5. In the triangle ABC, M is the midpoint of [AB] and N is the midpoint of [CM].
Find the coordinates of N. Given that A(-1,3), B(7.-3) and C(1,6).

Answers

Answer:

The coordinate or the point N is (2,3)

Step-by-step explanation:

The formula for the midpoint of two points is;

(x,y) = (x1 + x2)/2 , (y1 + y2)/2

for AB

A(-1,3) and B (7,-3)

We have;

(x,y) = (-1 + 7)/2 , (3-3)/2 = (6/2, 0/2) = (3,0)

For CM;

C(1,6) and M(3,0)

(x,y) = ( 1 + 3)/2, (6+0)/2 = (4/2, 6/2) = (2,3)

A number is divided in the ratio 7 : 5. if the second part is 150, find the number . ((answer with solution and explaination ))​​

Answers

Answer:

1500 because if you mutiply by 35 u will get it

Step-by-step explanation:

Answer:

ratio of required answer

7×(:)5×

also given

=)5×=150×=¹=30

5

now putting the value of × in another give

Required mum

7x+5x

12x

2(30)=360

Step-by-step explanation:

HOPE IT'S HELP

QUESTION 3 3.1.1 If y= 2x2 - 1. What is the value of y when x = -2?​

Answers

Answer:

7

Step-by-step explanation:

answer is in photo above

Determine the type and number of solutions of −4x2 − 3x + 7 = 0.


two real solutions


two imaginary solutions


one real solution and one imaginary solution


one real solution

Answers

Answer:

Step-by-step explanation:

You have to use the discriminant for this. If the quadratic is [tex]-4x^2-3x+7[/tex], then

a = -4, b = -3, and c = 7. The formula for finding the discriminant is

[tex]D=b^2-4ac[/tex] which comes from the quadratic formula, but without the square root sign. Filling in:

[tex]D=(-3)^2-4(-4)(7)[/tex] which simplifies down to

D = 9 + 112 so

D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.

What is the answer of (x+y÷x-y)÷(y+x÷y-x)

Answers

Answer:

[tex]{ \tt{ \frac{( \frac{x + y}{x - y}) }{( \frac{y + x}{y - x}) } }} \\ \\ { \tt{ = \frac{x + y}{x - y} \times \frac{y - x}{y + x} }} \\ \\ { \tt{ = \frac{-(x- y)}{x - y} }}[/tex]

Answer: = -1

Questions in the image.

Answers

Answer:

Step-by-step explanation:

1). 3x + 10

3(2) + 10

= 16

2). 14 - 2y

14 - 2(-3)

= 20

3). 7x - 5y

7(2) - 5(-3)

= 29

4). 5x + 7

5(2) + 7

= 17

5). 2x + 3y

2(2) + 3(-3)

= -5

6). 6y - 5x

6(-3) - 5(2)

= -28

If the events have the same theoretical probability of happening, then they are called​

Answers

Answer:

if outcomes are equally likely then the probability of an event occurring is the number in event divided by the number in sample space

892.8571428571429 to the nearest whole number

Answers

Answer:

893

Step-by-step explanation:

To the right of the decimal, the number 8 is greater than 4 so you have to round up the number to the left. So 2 becomes 3 in the ones place.

Hope this helps.

Hey!!

[tex]$\mathcal{WHOLE \ \ NUMBERS:}$[/tex]

They are those that do not have numbers after the point that are not zero

Answer:

The closest number is 893

Att- Brook2007s

Saludos ten lindo día uwu

PLEASE HELP IF YOU KNOW GEOMETRY THIS SHOULD BE EASY

Answers

Answer:

Growth

Step-by-step explanation:

When x value increase, y value also increase, So growth.

When x = 1   ;f(1) = 2

When x = 2  ; f(2) = 2² = 4

When x = 3  ; f(3) = 2³ = 8

Answer:

Exponential Growth

Step-by-step explanation:

I found this photo that helps differentiate both growth and decay :)

I hope this helps! :)

If PQ = 15 and QR = 13, what is PR? Write your answer as a decimal or integer.​

Answers

Answer:

28

Step-by-step explanation:

write the time on the digital watch in words 21:02​

Answers

It is two minutes past nine

2 2/9+1 4/9 in simplest form

Answers

Answer:

[tex]2 \frac{2}{9} + 1 \frac{4}{9} \\ = \frac{20}{9} + \frac{13}{9} \\ = \frac{33}{9} \\ = 3 \frac{2}{3} \\ \\ { \underline{ \blue{ \tt{⚜becker \: jnr}}}}[/tex]

find the circumcenter of the triangle formed by the vertices (2,2),(6,6) and (5,7)

Answers

Answer:

5.8333-1.8333 I think

Step-by-step explanation:

hope it helps

Evaluate the expression below when x = 4 and y = -2 *

Answers

Answer:

Evaluate the expression below when x = 4 and y = -2 *

hii your question is incomplete

can you please recheck once

there is no expression given

a) There are 15 teachers in a school and 10 of them are male teachers. i) Find the ratio of the number of male and female teachers. (ii) Find the ratio of the number of female teachers and the total number of teachers. One of the angles of a pair of complementary angles is 50°. Find the ratio of the pair of complementary angles.​

Answers

Answer:

i) 2:1

ii) 1:3

iii) 5:4

Step-by-step explanation:

i) Male teachers : Female teachers

                      10 : 15-10

                      10 : 5

                       2 : 1

ii) Female teachers : Total teachers

                             5 : 15

                              1 : 3

iii) Do remember that two angles are called complementary if their measures add to 90 degrees.

Hence, ration of the pair of complementary angles = 50 : 90-50

                                                                                     = 50 : 40

                                                                                     = 5 : 4

Answer:

Step-by-step explanation:

Total number of teachers = 15

Given number of male teachers = 10

Therefore number of female teachers = 15 - 10 = 5

i)

Ratio of male and female teachers

                                           [tex]\frac{male}{female} = \frac{10}{5} = \frac{2}{1}\\\\Ratio = 2 : 1[/tex]

ii)

Ratio of female teachers and total number of teachers

                                             [tex]\frac{female}{total\ teachers} = \frac{5}{15} =\frac{1}{3} \\\\Ratio = 1 : 3[/tex]

iii)

If x and  y are complementary angles, then x+ y = 90°

Given : one angle, x  = 50°

Therefore, 50° + y = 90°

                        y = 90 - 50 = 40°

Ratio of the pair of complementary angles

[tex]\frac{x}{y} = \frac{50}{40} = \frac{5}{4} \\\\Ratio = 5 : 4[/tex]

What is the value of x in the equation 5x−6=−36?

Answers

Answer:

5x−6=−36

5x=-30

X=-6

5*(-6)-6=-36

-30-6=-36

-36=-36

Your Welcome

BIFFY OUT!!!

Answer:

x=(-6)

Step-by-step explanation:

So first do the inverse operation.

5x-6=(-36)=5x+(-6)=-36

Subtract the constant

-36-(-6)=-36+6=-30

5x=(-30)

x=-6

Suppose 0 is an angle in the first quadrant and cos(0) = 1 What is the value of sin(0)?

Answers

Answer:

Step-by-step explanation:

I'm going to use a Pythagorean identity to help make this make sense.

[tex]sin^2\theta+cos^2\theta=1[/tex]

We are given that cos(0) = 1, so

cos²θ = 1² which simplifies to

cos²θ = 1. So filling into our trig identity:

sin²θ + 1 = 1 and

sin²θ = 0 then

sinθ = √0 so

sinθ = 0

[tex]sin^{-1}\theta=0[/tex] so

sin(0) = 0

I need help. ASAP. PLEASE.


Ok, so I got this formula from another answer and want someone to help me in explaining how they got to this formula. I understand where they got the constant from, where they got the a-value, but I don't understand where they got b = 2. Please help. We're dealing with a quadratic function here, in which the rate of change is generally -0.2. Thank you to anyone who responds.

Answers

You haven’t supplied enough information to help you. The original question would have helped.


7 log(15/16)+6log(8/3)+5log(2/3)+log(32/25)
by logarithm laws

Answers

Answer:

1.5871

Step-by-step explanation:

According to the Question,

we have, 7 log(15/16)+6log(8/3)+5log(2/3)+log(32/25)

The Solution, With Basic Properties of Log.

7*log15-7*log16+6*log8-6*log3+5*log2-5*log3+log32-log25

7*1.176-7*1.204+6*0.903-6*0.477+5*0.3010-5*0.477+1.505-1.3979

on Solving, We get

1.5871

Part B
Which sets of measurements could be the side lengths of a triangle?
Select each correct answer.
A 3 cm, 3 cm, 3 cm
B 4 cm, 8 cm, 13 cm
C 5 cm, 9 cm, 14 cm
D6 cm,
7 cm, 8 cm
Ea 7 cm, 7 cm, 10 cm

Answers

Sisisiisisisisiisisisisiisis 81819191

A school bus is transporting athletes home from an athletics meeting. Of these athletes, 15% took part in hurdles, 20% took part in the long jump event, 35% took part in the relay races, 30% ran the 100m sprint and 25% took part in the high jump event.
Explain how this is possible.​

Answers

Because some of the athletes participated in more than one event.

Can’t find an answer anywhere pls help <3

Answers

Step-by-step explanation:

Consider the expression below:

[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } [/tex]

Note that there is a radical in the denominator so we need to eliminate it by multiplying and dividing it with the same radical:

[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{10 \sqrt{2} \: - \: 6}{2} = - 3 + 5 \sqrt{2} [/tex]

By inspection, we can see that

a = -3 and b = 5

Answer:

[tex]a = - 3[/tex]

[tex]b = 5[/tex]

Step-by-step explanation:

Objective: Knowldge of Rationalizing Rational Functions.

Complete the LHS to find a and b.

Given

[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } = a + b \sqrt{2} [/tex]

Rationalize the LHS.

[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } \times { \frac{ \sqrt{2} }{ \sqrt{2} } } [/tex]

You'll get

[tex] = 5 \sqrt{2} - 3[/tex]

Flip is equation around.

[tex] - 3 + 5 \sqrt{2} [/tex]

This means that a equal -3 and b equal 5.

Find the length of the hypotenuse to the nearest tenth (example 4.5)
6
co
2

Answers

Answer:

hypotenuse = 6.3

Step-by-step explanation:

here 6 and 2 are the legs of the triangle . we are asked to find hypotenuse (longest side)

using pythagoras theorem

a^2 + b^2 = c^2

6^2 + 2^2 = c^2

36 + 4 = c^2

40 = c^2

[tex]\sqrt{40}[/tex] = c

6.32 = c

6.3 = c

Simplify the radical expression


sqrt 147


A. 7 SQRT 3

B. 3 SQRT 7

C. -7 SQRT 3

D. 21
----------------------------------------------------------
(SAME THING)
Simplify the radical expression

sqrt 3 + 4 sqrt 3

Answers

Answer:

how can someone solve dis?

Step-by-step explanation:

Answer:

D :3a ^ 4 * sqrt(2a)

Step-by-step explanation:

The lines below are parallel.if the slope of the green line is -2, what is the slope of the red line?

Answers

Answer:

-2

Step-by-step explanation:

If given lines are parallel, their slope must be equal. Therefore, the slope of the red line is also -2.

Given one of the roots of the quadratic equation px2- 4x + 3p -8 =0 is 1 . Calculate the value of p

Answers

Answer:

Value of p is 3

Step-by-step explanation:

One of the root is 1.

So, putting 1 in the place of x in the given equation,

px²-4x+3p-8=0

or, p-4+3p-8=0

or, 4p-12=0

or, 4p=12

or, p=3

Answered by GAUTHMATH

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