y = 4x + 12
x + 4y = 32

Answer:

8(x^4 - 8)

Step-by-step explanation:

Factor out an 8, since both 8 and 64 are divisible by 8:

f(x) = 8x^4 - 64

f(x) = 8(x^4 - 8)

So, the equation factored completely is 8(x^4 - 8)

Answer:

[tex]\huge\boxed{f(x)=8(x-\sqrt[4]8)(x+\sqrt[4]8)(x^2+2\sqrt2)}[/tex]

[tex]\huge\boxed{f(x)=8(x-2)(x^2+2x+4)}[/tex]

Step-by-step explanation:

[tex]f(x)=8x^4-64\qquad|\text{distribute}\\\\f(x)=8(x^4-8)=8\bigg[(x^2)^2-\left(\sqrt8\right)^2\bigg]\qquad|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\f(x)=8(x^2-\sqrt8)(x^2+\sqrt8)=8\bigg[x^2-\left(\sqrt[4]8\right)^2\bigg](x^2+\sqrt8)\\\\|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\f(x)=8(x-\sqrt[4]8)(x+\sqrt[4]8)(x^2+\sqrt8)\\\\\sqrt8=\sqrt{4\cdot2}=\sqrt4\cdot\sqrt2=2\sqrt2[/tex]

taking into account the correction from the comment

[tex]f(x)=8x^3-64=8(x^3-8)=8(x^3-2^3)\\\\\text{use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\f(x)=8(x-2)(x^2+(x)(2)+2^2)=8(x-2)(x^2+2x+4)[/tex]

Answer:

2

Step-by-step explanation:

Denominator is the bottom number, and this is a multiple of both of the denominators

Answer:

1/2 is the simplified fraction for 3/6.

Step-by-step explanation:

im not sure but i think thats it

Answer:

387,420,489

Step-by-step explanation:

First, evaluate what is in the parentheses. This is equivalent to 729. Now take this number, and cube it (or do 729^3). This is equivalent to 387420489.

The ^ symbol means 'to the power of'.

For example, if you want to raise the number 5 to the power of 4, then you would do 5 ^ (to the power of) 4. Also looks like this:  [tex]5^{4}[/tex]

Answer:

alright so after it said 4 count by 4 so 4 8 12 16 18 and until u get to 18 go by 2 i think

Answer:

2:18 PM

Step-by-step explanation:

This is the answer because:

1) First, count 3 hours from 10:47 AM. 10:47 - 11:47, 11:47 - 12:47, 12:47 - 1:47. We will end up with 1:47 PM.

2) Next, just add 31 minutes. In order to get 2:00 PM, we have to add 13 minutes, therefore, subtract 13 from 31, this is 18.

3) Finally, add 18 to 2:00, which is just 2:18 PM.

Hope this helps! :D

Answer:

2:18 PM

Step-by-step explanation:

You would start at 10:47 AM, then 3 hours and 31 minutes would pass by. The way I solved this was but adding the hours (10 + 3) and minutes (47 + 31) separatley. You would end up with 13 and 78. You would want to subtract 78 by 60 because 78 is higher than an hour, after that you would end up with 18 and 13:00 is 1:00 PM/AM and you just subtracted 60 from 78 so you would add 1 more hour to 1:00 PM so you would get 2:00 PM. After that, you would end up with 2:18 PM.

Answer:

3700hours

154days

Step-by-step explanation:

Speed can be defined as the distance cover per time, it can be expressed as

Speed= distance/ time........eqn(1)

Given:

distance between two planets= 4.07×10^¹²

speed of light = 1.1×10^⁹ kilometres per hour

Time= ??

Then substitute the values into equation (1) we have

Speed= distance/ time

1.1×10^⁹ kilometres per hour= 4.07×10^¹²kilometre/ time

Cross multiply, we have

Time= (4.07×10^¹²kilometre) /(1.1×10^⁹ kilometres per hour)

Time= 3700hours.

To convert to day, we know that

60 minute= 1hour

24hour=1day

Time= (3700hour×1day)/24hour

Time= 154days approximately.

Hence, the time taken for light to travel from one of these planets to the other is 154days or 3700hours

Answer: b & d

Step-by-step explanation:

These are complex roots because they do not have x-intercepts.

Hope this helps!

Answer:

13.6 yards

Step-by-step explanation:

The equation for perimeter is P=2L+2W

So P=2(4 yards)+2(2.8 yards)

P=13.6 yards

Or you can write the formula as P=L+L+W+W and get the same answer

Answer:

The answer is for this question is 5.

Answer:

Its silicon-32 because if you want to find an isotope, you have to add the number of protons (14) and number of neutrons (18) to get 32 as your total.

Step-by-step explanation:

Hope this helps

Answer:

b

Step-by-step explanation:

edge 2022

Answer:

Yes, it is a function.

Step-by-step explanation:

We can determine a relation is a function when the domain is assigned each to one range number. All the domain values are different and all the range values are different which proves that definition. Thus, makes it a function.

Best of Luck!

Answer:

The correct answer is A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

90 minutes=1 and a half hour

hour=60 min

Answer:

4

Step-by-step explanation:

The ratio is 2 H for 1 O. So, since there is 8 H, there will be half the amount of O atoms or 4 O atoms.

Step-by-step explanation:

sorry for too many pictures and I'm sorry for messing up other question numbers but that's that

hope u get it in time

9514 1404 393

Answer:

  a.  300 ≤ m ≤ 350

  b.  18,000 ≤ p ≤ 21000

  c.  no

Step-by-step explanation:

a. If we let m represent the monthly payment, the absolute value equation is ...

  |m -325| ≤ 25

  -25 ≤ m -325 ≤ 25 . . . . rewrite as a compound inequality

  300 ≤ m ≤ 350 . . . . . . . add 325

The range of affordable payments is $300 to $350 per month.

__

b. If financing is for 5 years, that's a total of 5×12 = 60 monthly payments. For a car price of p, the monthly payment is p/60, so the above inequality becomes ...

  300 ≤ p/60 ≤ 350

Multiplying by 60 gives the range of affordable car prices:

  18000 ≤ p ≤ 21000

An affordable car will have a price between $18,000 and $21,000 (inclusive).

__

c. If the 0% offer is extended to 6 years, the maximum affordable car price can be 6/5 of the upper limit of the range just found:

  6/5×$21,000 = $25,200

This is still less than the price of the car you want.

You cannot afford to buy the car you want.

Answer:

562

Step-by-step explanation:

Plug in the values of x, y, and z provided.

(5(5)-1)^2-2(7)

Solve.

(25-1)^2-14

(24)^2-14

576-14

562

Answer: 562

Step-by-step explanation:

(5x+y)^2-2z

first put in the known values. (5(5)+(-1))^2-2(7)

(25+-1)^2-14

Second, do 25+-1=24

(24)^2-14

Third, do 24 squared

576-14

Subtract

562

Answer:

The correct options are;

A) It can provide better estimates than s simple random sample

B) The researcher needs some knowledge of the population in terms of characteristics relevant to the study

E) Creating strata of similar individuals reduces variability

Step-by-step explanation:

In order to reduce the variance in the population being studied the stratified sampling technique is used which consists of separating the given sample from the population into different strata based on known characteristics and finding out the result of the experiment in each strata. Each strata posses a common or shared attribute such as educational level or total level of income.

The statements that apply to stratified random sampling are;

A) It can provide better estimates than a simple random sample.

B) The researcher needs some knowledge of the population in terms of characteristics relevant to the study.

D) Creating strata of similar individuals to sample from reduces variability.

E) It can be difficult to obtain with a very large population.

Stratified random sampling is a method of sampling from a population that involves dividing the entire population into homogeneous groups that called strata.

The way it is done is that a random sample from each stratum is usually taken in a number that proportional to the size of the stratum if we compare it to the population size.

From the definitions above, the options that apply are, A, B, D and E.

Read more about stratified random sampling at; https://brainly.com/question/1954758

Answer:

i do, if uu need help hmu

Step-by-step explanation:

Answer:

a. -21 b. 14

Step-by-step explanation:

For a, -3x4=-12, and then -12-9=-21. For b, -1/3x-3=1, and then 1+13=14. Hope it helps!

Answer: A.) -21

               B.) 14

Step-by-step explanation:

f(-3)=x

A.) f(-3) = 4(-3) - 9

           = -12-9

           = - 21

B.) f(-3) = -1/3(-3) + 13

           = 1 + 13

           = 14

Have a nice day good night

Answer:

B

Step-by-step explanation:

Answer:

When dividing by −2, he did not change the direction of the sign.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

whenever u divide by a negative number in inequality the sign always changes

Answer:

8x=5

Step-by-step explanation:

Answer:

the answer is A i think

Step-by-step explanation:

Answer:

your answer is

A. -3

good luck (:

Answer:

Part A-

Answer- f(x) is the profit made from selling 'x' number of salads.

Part B-

Question- Identify and interpret the key features of the function in the context of the situation you described in part A.

Answer-

End behavior- As 'x' approaches 25, f(x) approaches 20. As 'x' approaches 1, f(x) approaches 4.

Domain- 1, 4, 9, 16, 25

Range- 4, 8, 12, 16, 20

x and y- intercepts- None

Maximum- 20

Minimum- 4

Step-by-step explanation:

Mark as brainliest please :)

Answer:

1.25 = X

Step-by-step explanation:

5-2x+2=12-4x-2x

Combine all like terms here.

7-2x=12-6x

Add 2x on both sides.

7=12-4x

Subtract 12 on both sides.

-5=-4x

Divide by -4.

1.25=X

Answer:

Step 3 is incorrect because it shows an incorrect ratio for the slope.

Step-by-step explanation:

The correct question is:

Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:

Step 1: Choose a point on the line, such as (2, 5).

Step 2: Choose another point on the line, such as (1, 3).

Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is .

Step 4: Substitute those values into the point-slope form.

y – y1 = m(x – x1)

y – 3 = (x – 1)

Which of Talia’s steps is incorrect?

Step 1 is incorrect because it uses a point that is not on the line.

Step 2 is incorrect because it uses a point that is not on the line.

Step 3 is incorrect because it shows an incorrect ratio for the slope.

Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.

Answer:

Step 1 is correct because from the graph, points (1,3) and (2,5) lies on the line so the points can be used to find the slope.

Step 2 is also correct.

Step 3 is incorrect. Slope of a graph is the ratio of vertical change to horizontal change. The vertical change is the rise while the horizontal change is the run, hence slope is the ratio of rise to run.

Since the line runs 1 unit to the right and rises 2 units up, so the slope is 2/1 = 2

Therefore the correct point-slope form is:

y – y1 = m(x – x1)

y – 3 = 2(x – 1)

Step 4 is correct, because i t shows an incorrect substitution of (1, 3) into the point-slope form.

Answer:

c

Step-by-step explanation:

took the quiz!!

Money after w weeks in my account :

[tex]M_m=10w+20[/tex]

Money after w weeks in pet moose account :

[tex]M_p=45w+25[/tex]

Now,

Money I have after 5 weeks, [tex]M_m=10w+20=(10\times 5)+20=\$70[/tex]

Money pet have after 5 weeks, [tex]M_p=(45\times 5)+25=\$250[/tex]

Hence, this is the required solution.