According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function f(x)=(4x3−13x+11)3?

Answer:

Step-by-step explanation:

According to given, the function is:

or

This is an exponential relationship

Correct choice is (4)

To determine the money Eric will have in his bank account, he needs to use an exponential function.

This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.

Here, to find the amount of money after 10 years, we need to use the formula S = P(1 + r)ⁿ.

Here, S = sum of money after the total period of investment.

P = Principle = $500, r = rate of interest = 3.5%, n = time period = 10 years.

Now, S = $500(1 + 3.5/100)¹⁰ = $500(1 + 0.035)¹⁰ = $500(1.035)¹⁰ = $705.3

Hence, after 10 years, Eric will have $705.3 in his bank account.

Learn more about compound interest here: https://brainly.com/question/25857212

#Tag #SPJ2

[tex]\left(\dfrac{2}{\sqrt 8} \right)^3\\\\\\=\left(\dfrac{2}{2\sqrt 2} \right)^3\\\\\\=\left(\dfrac 1{\sqrt 2} \right)^3\\\\\\=\left[\left(\sqrt2 \right)^{-1} \right]^3\\\\\\=\left(\sqrt 2 \right)^{-3}\\\\\\=\left(2^{\tfrac 12} \right)^{-3}\\\\\\=2^{-\tfrac 32}[/tex]

Answer:

8 weeks

Step-by-step explanation:

Since we know that the sunflower in Class B has a rate of 1/4 less, we know that it will eventually catch on to sunflower A.

First, we have to look at the difference which is 2. How many 1/4ths makes 2?

8.

Therefore, 8 weeks would be your answer.

-kiniwih426

Answer:

DUDE MAYBE SHOW THE GRAPH ????

Answer:

x = -9, y = 3

Step-by-step explanation:

I hope it helps!

Answer:

Properties of Inequality

[tex]x - 3 = 9\\x-3 +3 = 9 + 3\\x= 9 + 3[/tex]

[tex]x+3<9\\x+3-3<9-3\\x<9-3[/tex]

[tex]\frac{1}{2}x<4\\\frac{2}{1} * \frac{1}{2}x < 4 * \frac{2}{1}\\x < 8[/tex]

[tex]2x < 4\\\frac{2x}{2} < \frac{4}{2}\\x < 2[/tex]

Note: When you multiply or divide with a negative number. Flip the sign.

Step-by-step explanation:

search it up

Answer:

-60

Step-by-step explanation:

you can just do 3x20, which makes sixty, then put change that to negative, since there is a negative in the number

Answer:

Rachel ends up with 9 chocolate bars.

Step-by-step explanation:

16 - 4 = 12

quater is 1/4, so

12 / 4 = 3

12 - 3 = 9

Answer:

9 chocolate bars

Step-by-step explanation:

Rachel had 16 chocolate bars and Tracy takes (minus) 4.Now she has 12.

Tracy asks for the remaining (12) quarter. A quarter is 1/4, and a quarter of 12 is 3.

That leaves Rachel with 9, because 12 - 3 is 9.

Answer:

r=1/4

Step-by-step explanation:

Answer:

r = 1/4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 2r from both sides.

Step 3: Subtract 1/3 from both sides.

Step 4: Multiply both sides by -3/4.

Therefore, r = 1/4.

Answer:

answer is D :

√24 = 4.89

which is the nearest to 5 and possible answer

Answer: The average temperature on Earth has risen.

Step-by-step explanation:

If you look at the graph, you can see that the average for temperature on Earth has risen since 1800s through 2000s

Answer:

answer in pic, hope it helps

Answer:

answer down below:

https://vsa.flvs.net/default.aspx?PageID=117&fn=Student-Dashboard

Step-by-step explanation:

Answer:

4, 7.5

Step-by-step explanation:

4. (x+6)(x+10)=140 ->

x=4

5. 550 = 8(x-2)(x+5) ->

x=15/2=7.5

Hope that helps! :)

Answer:

13. PS ≈ 28.30

14. ∠CDB ≈ 68.74°

Step-by-step explanation:

13 =========================

We'll start from the right, at ∠R. We have the measurement of the angle, the adjacent side, and we need to find the measurement of the opposite side. Use the tan function in this case. (think soh-cah-toa)

[tex]tan(28)=\frac{x}{39} \\x=39tan(28)[/tex]

or x ≈ 20.74

Now we know that QS is about 20.74. From ∠P this time, we have the angle, the opposite side, and we need the hypotenuse. sin function this time.

[tex]sin(76)=\frac{39tan(28)}{y} \\ysin(76)=39tan(28)\\y=\frac{39tan(28)}{sin(76)}\\[/tex]

or y ≈ 28.30

PS ≈ 28.30

14 ======================

Start from ∠A and use tan.

[tex]tan(47)=\frac{x}{18} \\x=18tan(47)[/tex]

x ≈ 19.30

Then from ∠CDB, we'll use inverse cos.

[tex]cos^{-1}(\frac{7}{18tan(47)} )= y[/tex]

y ≈ 68.74°

∠CDB ≈ 68.74°

=======================

I'm pretty highly confident this is correct, but it's been a long time since I've done this and the irrational numbers seem strange. If the rest of the assignment was like that though, it should be fine.

Answer:

First side is 15 m.

Second side is 13 m.

Third side is 21 m.

Step-by-step explanation:

Let x be the second side of the triangle = x

The first side of a triangle is 2 longer than the second side = x + 2

The third side is 5 shorter than twice the second side. = 2x - 5

Perimeter = 49 m

The formula for finding the perimeter of triangle is:

P = a + b + c

Put the values in the formula

49 = x + x + 2 + 2x - 5

49 = 4x - 3

Use APE or Addition Property of Equality

49 + 3 = 4x

52 = 4x

Use DPE or Division Property of Equality to find the value of x

[tex]\frac{52}{4} = \frac{4x}{4}[/tex]

13 = x

Now put the value of x in the equation

First side( x + 2) = 13 + 2 = 15

Second side( x ) = 13

Third side (2x - 5) =

2(13) - 5

26 - 5

= 21

Answer:

6.50x + 3.99

Step-by-step explanation:

Every order of sweat shirts is charged $3.99

Each individual sweatshirt costs $6.50 therefore x being the number purchased times $6.50 is the cost of the sweatshirts that plus the 3.99 is your total cost.

Answer:

x= -0.1818

y= 10.6363

Step-by-step explanation:

Answer:-120

Step-by-step explanation:multiply -6 by 60 seconds which it will give you  -360 in inch’s and then multiply -360 into 4 and that’s -1440 and then combert them into -120

We want to define and solve a linear equation to model the given case.

The answers are:

a) x = number of tickets, y = total cost.

b) y = $1.35*x + $6.35

We know that:

The tickets for each ride were $1.35 per ticket.

Paul purchased 30 tickets

He spent a total of $46.85 (on tickets and admission)

The cost for the 30 tickets is:

30*$1.35 = $40.50

a) Now we can define two variables:

y = total cost

x = number of tickets

b) the linear equation would be:

y = $1.35*x + P

Where P is the price of admission.

And we know that the total cost for 30 tickets is $46.85, then we have:

$46.85 = $40.50 + P

$46.85 - $40.50 = P = $6.35

So the admission price is $6.35

This means that the linear equation is:

y = $1.35*x + $6.35

c) Brief explanation, we have the variable y that represents the total cost, it is equal to the admission price (which we found) plus $1.35 times the number of tickets bought (x).

If you want to learn more, you can read:

https://brainly.com/question/13738061

Answer:

4

Step-by-step explanation:

Answer:

2 + 2 = 4

Step-by-step explanation:

yw :-)

Answer:

Step-by-step explanation:

correct.

Answer:

  see attached

Step-by-step explanation:

The requested plot is only for that portion of the line that exists between the two points shown.

Answer:

12÷20.5= 0.5953658537

Answer:

80km --- 49.7097mi

Step-by-step explanation:

thats quite slow... but please provide context then i can solve it for you

Answer:

See below...

Step-by-step explanation:

v * 7x = 7vx

8c * 6e = 48ec

3a * 4a = 12a^2

8xw * 2w = 18xw^2

8mn * 3m^2n = 24m^3n^2

4acx * 5ax^2 * 6c = 120a^2c^2x^3

4m * 4n = 16mn

3x * 4x = 12x^2

5w * 3wx = 15w^2x

6c * 5ac^2 = 30ac^3

9wx^2 * 6w^2x = 54w^3x^3

9a^2c * 4ac^2e^3 = 36a^3c^3e^3

Answer:

this is 2% increase

Step-by-step explanation:

to find percent change,

big - small

---------------

original

19.17-18.77

-------------- = 0.021

18.77

round: 0.02 or 2%

Answer:

i cant read it

can u type so i can help?

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

It is asking you for the absolute value which is the distance from zero. Picture it on a number line. It is 35 spaces from zero.

I hope this helps!!!

Answer:

C)  35

Step-by-step explanation:

The absolute value of a number can be thought of as the distance the number is from zero on a number line. A distance is never a negative number. It can be zero or a positive number.

Asking what is |-35|, the absolute value of -35, is the same as asking "how far is -35 from zero on a number line?" The answer is 35.

To find the absolute value of a number do this:

If the number is zero, then its absolute value is 0. |0|= 0

If the number is positive, then the absolute value is just the number. For example, |9| = 9

If the number is negative, then just drop the negative sign. Example: |-3| = 3

Answer:

35 glasses

Step-by-step explanation:

Susie has 5/8 gallon = 5/8 * 16 = 10 cups

10 cups ÷ 2/7 cups per glass = 35 glasses