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]
​

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.

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

Answer:

how can someone solve dis?

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

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]

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.

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

The closest number is 893

Saludos ten lindo día uwu

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

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]

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

Answer:

1500 because if you mutiply by 35 u will get it

Step-by-step explanation:

Answer:

ratio of required answer

also given

5

now putting the value of × in another give

Required mum

7x+5x

12x

Step-by-step explanation:

HOPE IT'S HELP

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;

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

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.

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! :)

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.

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)

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

Answer:

1.5871

Step-by-step explanation:

According to the Question,

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

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

Answer:

7

Step-by-step explanation:

answer is in photo above

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

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

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

Answer:

5.8333-1.8333 I think

Step-by-step explanation:

hope it helps

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.

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

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

Answer:

28

Step-by-step explanation:

It is two minutes past nine

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.

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