please help! this is a final! FUNCTIONS

Answer:

[tex]\frac{(x + 1)(x - 2)}{x^{2} + 5}[/tex] This is the third option.

Step-by-step explanation:

Dividing a fraction is the same as multiplying the reciprocal of the second fraction.

[tex]\frac{x + 1}{x + 4}[/tex] × [tex]\frac{(x + 4)(x - 2)}{x^{2} + 5}[/tex]

[tex]\frac{(x + 1)(x + 4)(x - 2)}{(x + 4)(x^{2} + 5)}[/tex]  Here, we can just get rid of the (x + 4) because it is common in both the numerator and denominator so they cancel each other out.

So the answer would be [tex]\frac{(x + 1)(x - 2)}{(x^{2} + 5)}[/tex] .

I hope this makes sense!! ^-^

Answer:

i think the answer is d

hpe it helps

Answer:

b

Step-by-step explanation:

Answer:

a. 5,040 ways

b. 210 ways

Step-by-step explanation:

a) We want to pick 4 numbers out of 10 given that orders matter

If orders do matter, it will be a permutation problem

Mathematically;

n P r = n!/(n-r)!

In this case, n is 10 and r is 4

Thus, we have it that;

10 P 4 = 10!/(10-4)! = 5,040

b) if orders do not matter

It will be a combination problem

n C r = n!/(n-r)!r!

n = 10 and r = 4

10 C 4 = 10! /(10-4)!4!

= 210

Answer:

x=-18

Step-by-step explanation:

Answer:

x = -18

Step-by-step explanation:

5 - x = 23

5 - 5 - x = 23 - 5

-x = 18

-1x / -1 = 18 / -1

x = -18

Hope this helps and stay safe, healthy, and happy, thank you :) !!

Answer:

y=5x-6

Step-by-step explanation:

Use form y= mx + b where m is the slope and b is the y intercept

Answer:

To roll the 4 is 1/6 and landing heads twice is 1/4 and 1/6 x 1/4 and the probability of him doing that would be 0.04166666666% chance

Step-by-step explanation:

0 lol this is funny thanks for free points

Answer:

I think its zero but I'm not sure dude

hope this helps :)

Answer: a reflection across the x-axis

Answer: The answer is 0 because if it was negative, there are no solutions and if the discriminant is equal to zero we have a solution. can you give me brainliest

Step-by-step explanation:

Answer: [tex]y=-\frac{3}{4}x+7[/tex]

Step-by-step explanation:

The slope is

[tex]\frac{4-7}{4-0}=-\frac{3}{4}[/tex]

Since the y-intercept is (0,7), the equation is [tex]y=-\frac{3}{4}x+7[/tex]

Answer:

The population in 2015 will be 165 million.

Step-by-step explanation:

The exponential growth formula is given by:

[tex] f(t) = a(1 + r)^{\Delta t} [/tex]

Where:

a: is the initial population

r: is the rate of increase

Δt: is the time        

With the initial information we can find the rate:

[tex] 151 = 145(1 + r)^{1998-1990} [/tex]      

Using logarithm:                                    

[tex] ln(151) = ln(145) + 8[ln(1 + r)] [/tex]  

[tex] ln(1 + r) = \frac{ln(151) - ln(145)}{8} [/tex]                        

[tex] ln(1 + r) = 5.0683 \cdot 10^{-3} [/tex]          

Using exponential:          

[tex] e^{ln(1 + r)} = e^{5.0683 \cdot 10^{-3}} [/tex]

[tex] r = 5.081 \cdot 10^{-3} [/tex]        

Now, we can find the estimated population in 2015:

[tex] f(t) = 151(1 + 5.081 \cdot 10^{-3})^{2015-1998} [/tex]              

[tex] f(t) = 165 [/tex]              

Therefore, the population in 2015 will be 165 million.

I hope it helps you!

Answer:

Value = 44,0000(0.75)^t

Where t = number of years

Value after 4 years = 44,000 (0.75)^4

Answer:

ll

Step-by-step explanation:

square root of 121 is 11 since 11x11=121

Answer:

x= 8.69

Step-by-step explanation:

tanx = opp/ adj

tan44° = x/9

x= tan44° * 9

*make sure your calculator is in degree mode

x= 8.69

Answer:

A. Voters age 40 and over are least likely to favor road expansion.

Answer:

15

Step-by-step explanation:Addentitive property states that any number added with 0 is the original number. so, 15+0=15

Answer:

I'm pretty sure it (a)

Step-by-step explanation:

I learned it as you eat the larger number

Answer:

s=ut +atsq/2

120=4u+4sq

4u=104

u=26m/sec

Answer:

26 m/s

Step-by-step explanation:

Given

[tex]s = ut + \frac{1}{2} {at}^{2} [/tex]

When a = 2 , s = 120 and t = 4

Then

[tex]120 = u \times 4 + \frac{1}{2} \times 2 \times {4}^{2} \\ 120 = 4u + 16 \\ 120 - 16 = 4u \\ 104 = 4u \\ u = \frac{104}{4} \\ u \: = 26

Hope it will help :)❤

Answer:

x = 2

Step-by-step explanation:

Let me know if you have questions

Answer:

24 mugs

Step-by-step explanation: 18.88/0.76 = ≈24

Answer:

24 mugs

Step-by-step explanation:

Disregard unimportant information

Set up an equation

Variable x = number of mugs

18.88 = 0.76x

Divide both sides by 0.76 to isolate variable x

24.842...

There's no such thing as a fraction or decimal of a mug so round down to the nearest whole number

24

Answer:

A) f(x) = 2x + 3

B) f(x) = x - 5

C) f(x) = 2x + 4

Step-by-step explanation:

To find - Please write the function(x) from the given rules:

              A) Twice the input value plus three.

              B) The input value minus five.

              C) To get the output, multiply the input by two, then add four.

Proof -

Let us assume that the input = x

The output = f(x)

Now,

A)

f(x) = 2x + 3

B)

f(x) = x - 5

C)

f(x) = 2x + 4

Answer:

92.99

Step-by-step explanation:

Since this is a right triangle sine can be used to find the missing side. Sine should be used because you have the opposite and are trying to find the hypotenuse. So, following SOH-COH-TOA, the equation should be [tex]sin(34)=\frac{52}{x}[/tex]. Then, isolate x; once x is isolated the equation should be [tex]x=\frac{52}{sin(34)}[/tex]. Finally, plug that into a calculator to get ≈92.99116, which rounds to 92.99.

Answer:

A. 45

B. 60

C. 65

D. 121

2. 108

3.

4. 8

5. 104

6. 132

7. 24

8. 38

9. 65

Step-by-step explanation:

Area of rectangles is L*W while right triangle is lw/2

Answer:

1,500

Step-by-step explanation:

Answer:

Answer should be 5/2 I thinkkkkk

Answer:

2.5 or can be 5/2

Step-by-step explanation:

Answer: 200

Step-by-step explanation: 36 by 100 and then divide the total by 18 as follows: (36 x 100) / 18 For 200

Answer:

200

Step-by-step explanation:

:/

I hope

Answer:

It is J hope this helps! :)