expand the function f(x)=(x+5)^3

Answers

Answer 1

The function f(x) = (x + 5)³ when expanded is f(x) = x³ + 15x² + 75x + 125

How to expand the function?

The function in the equation is given as

f(x) = (x+5)^3

Rewrite this function properly

So, we have the following representation

f(x) = (x + 5)³

Solving further, we need to expand the expression into factors

So, we have the following representation

f(x) = (x + 5)(x + 5)(x + 5)

Next, we expand the first two brackets in the equation

This gives

f(x) = (x² + 5x + 5x + 25)(x + 5)

Evaluate the like terms

This gives

f(x) = (x² + 10x + 25)(x + 5)

Solving further, we need to expand the last two brackets

So, we have the following representation

f(x) = (x³ + 5x² + 10x² + 50x + 25x + 125)

Evaluate the like terms

This gives

f(x) = (x³ + 15x² + 75x + 125)

Remove the brackets

So, we have

f(x) = x³ + 15x² + 75x + 125

Hence, the function is f(x) = x³ + 15x² + 75x + 125

Read more about functions at

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Related Questions

What is 27.6 / 8???????????

Answers

Answer:

seriously??

have you heard of calculators lol

the answer is 3.45

Find a coordinate on the line.

y - 5 = 8(x + 2)
Question 3 options:


(8, 2)


(2, -5)


(-2, 5)


(-5, 2)

Answers

Answer:

(-2,5)

Step-by-step explanation:

What type of angle of this?

Answers

Answer:

angle x is equal to 60º so its an acute angle

Step-by-step explanation:

Answer:

x = 60

Step-by-step explanation:

obtuse angle is 180 degres so you subtract the amount that you see and you will get x. This only works for questions like this contact me if you need more help with questions like these

180-120=60

An airplane can ascend at a rate of 50 1/2 meters in 2/3 of a second. How many meters can the airplane ascend in one second?

Answers

Answer:

78.75

Step-by-step explanation:

If a function is restricted, is there no end behavior?

Answers

Answer:

If a function is restricted, it still has an end behavior!!!

Step-by-step explanation:

Let's say we have f(x)=(x-4)^2, x≥4.

If this function is graphed, we can see that the line starts at (4,0). It only has one side to it.

This means that it is restricted on the left side. In other words, x has to be greater than or equal to 4.

However, just because this function is restricted doesn't mean it doesn't have an end behavior!

As we can see, the graph continues on into eternity. As a result, we can write the end behavior as:

x --> ∞, f(x) --> ∞

There is no end behavior for the left side because that's where the graph is restricted.

Hope this helps!

Use the Distributive Property to complete the equivalent expression. Enter your answers in the boxes.

4(y – 3) = __ - ___

SOMEONE HELP EXTREMELY QUICK PLSSS

Answers

4y, 12 your welcome


Golf Club Distance (yards) Distance (feet)
9 iron
99
7 iron
120
5 iron
144
3 iron
162
3 wood
174
Driver
192

Answers

Answer:

7 Iron

Step-by-step explanation:

Just smort

Please answer this, thank you so much

Answers

Answer:

second one

Step-by-step explanation:

Notice that there's a y intercept of 2 and an x intercept of -4

This means that the line has a positive slope of 1/2, which leaves us with

y<(1/2)x+2


Using the formula F = 9/5 C + 32, convert 25° Celsius (C) to
degrees Fahrenheit (F).
A.) 57°
B.) 77°
C.) 257°
D.) 269.5

Answers

Answer:77°

Step-by-step explanation:

Since we are trying to convert Celsius to Fahrenheit, we just need to replace C in the equation with the value of 25°.

[tex]F=\frac{9}{5}C+32[/tex]

[tex]F=\frac{9}{5}25+32[/tex]

[tex]F=45+32[/tex]

[tex]F=77[/tex]

The answer is 77°

he .......... be eating pizza.​

Answers

The answer is A will...........

He will be eating pizza

S + will + be + V_ing

Pls help I’ll brainlest ASAP

Answers

Answer:

Slope: -1/4x

y-int: 2

Step-by-step explanation:


32) Out of 525 people surveyed, 210 answered yes. Estimate how many people would answer yes if 900
people were surveyed.

Answers

Answer:

360 people

Step-by-step explanation:

[tex]\frac{ 210}{525}*900[/tex][tex]=360[/tex]

Hope this helped! :)

Three segments are chosen at random from six segments having lengths of 2, 3, 5, 6, 7 and 10 units. What is the probability that the three segments chosen could form a triangle? Express your answer as a common fraction

Answers

Using the probability concept, it is found that there is a [tex]\frac{7}{20}[/tex] probability that the three segments chosen could form a triangle.

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, the order in which the sides of the segments are chosen is not important, hence, the combination formula is used to find the number of total outcomes.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Total outcomes:

3 segments from a set of 6 lengths, hence:

[tex]C_{6,3} = \frac{6!}{3!3!} = 20[/tex]

Desired outcomes:

Segments can make a triangle if the sum of the lengths of the smaller segments is greater than the length of the larger segment.Hence, the possible options are: (2,5,6), (3,5,6), (3,5,7), (5,6,7), (5,6,10), (5,7,10), (6,7,10).There are 7 desired outcome, hence [tex]D = 7[/tex]

Then:

[tex]p = \frac{D}{T} = \frac{7}{20}[/tex]

[tex]\frac{7}{20}[/tex] probability that the three segments chosen could form a triangle.

To learn more about the probability concept, you can take a look at https://brainly.com/question/24437717

Express as a single power.

Answers

[tex]\\(a)\\2^3 \times 2^6 \div 2^9 = 2^{3+6} \times \dfrac{1}{2^9} = 2^9 \times 2^{-9} = 2^{9-9} = 2^0 = 1\\\\ \\(b)\\\\(-5)^8 \div (-5)^4 \times (-5)^3\\ \\= (-5)^8 \times \dfrac 1{(-5)^4 \times (-5)^3} \\\\= (-5)^8 \times \dfrac{1}{(-5)^{4+3}} \\\\= (-5)^8 \times \dfrac{1}{(-5)^7} \\\\= (-5)^{8 - 7} \\\\=(-5)^1 \\\\ =-5\\\\\\(c)\\\\\\\dfrac{6^3 \times 6^5}{6^2 \times 6^4}= \dfrac{6^{3+5}}{6^{2+4}}= \dfrac{6^8}{6^6}=6^{8-6}=6^2 =36[/tex]

What is the quotient ?
7 with a power of -6 over 7 with a power of 2

Answers

Answer: [tex]\frac{1}{7^8}[/tex] or [tex]\frac{1}{5764801}[/tex]

Step-by-step explanation:

First, since the two roots (7) are the same, you subtract the exponents, which gives you -6 - 2 to get -8, giving you [tex]7^{-8}[/tex]

Next, you change [tex]7^{-8}[/tex] to [tex]\frac{1}{7^8}[/tex] or [tex]\frac{1}{5764801}[/tex]

I hope that helps :)

Factorise fully each of the following:
(a)
2ab + 3cd - cb - bad
-
-

Answers

Answer:

urs 6 2ab ytdguhdd bad wuy

Step-by-step explanation:

blank

(X+2b)(x-4b) simplified

Answers

Answer:

I will ASSUME X = x

x² + 2bx - 4bx - 8b²

x² - 2bx - 8b²

Answer:

[tex]\\\\\\-8b^2-2bx+x^2[/tex]

Step-by-step explanation:

[tex](x+2b)(x-4b)\\=(x+2b)(x+(-4b)\\=(x)(x)+(x)(-4b)+(2b)(x)+(2b)(-4b)\\\\x^2-4bx+2bx-8b^2\\\\-8b^2-2bx+x^2[/tex]

graph the line indicated by the slope, m = - 3, and passing through the point (-4, 1) .

Answers

The equation of a line in point slope form is expressed according to the formula;

y-y0 = m(x-x0)

m is the slope of the line(x0, y0) is any point on the line

Given the following parameters

m = -3

(x0, y0) = (-4, 1)

Substitute into the formula above will givee;

y - 1 = -4(x+4)

y -1 = -4x - 16

y = -4x - 15

Next is to plot the graph of the line y = -4x - 15 on the coordinate plane as shown:

Learn more graphs here: https://brainly.com/question/19011142

Nick drives 7 miles in ten minutes how many miles would nick drive if he drove at the same rate for 2 hours?

Answers

Answer 84 miles

Step-by-step explanation:

2hrs= 120min

7 miles/ 10 min = x miles/ 120 min

x = 84 miles

Answer:
84 miles
Explanation:
2 hours = 120 minutes
120 / 10 = 12
12 x 7 = 84

consider equation of circle x2-2x+y2-4y-4=0,if line 2x-y+a=0 is its diameter then find value of a

Answers

Answer:

Step-by-step explanation:

x² - 2x + y² - 4y - 4 = 0

x² - 2x + y² - 4y = 4

complete the squares

(x² - 2x + x₀) + (y² - 4y + y₀) = 4

the unknown number will be the square of half of the x¹ coefficient

(x² - 2x + 1) + (y² - 4y + 4) = 4 + 1 + 4

(x - 1)² + (y - 2)² = 9

This tells us that the circle is centered on (1, 2)

Which is also a point on the diameter

2x - y + a = 0

a = y - 2x

a = 2 - 2(1)

a = 0

Suppose Bella wanted to make a gift basket worth $25 instead the gift basket must also have more wheat loaves than muffins show one way Bella can make the gift basket

Answers

huh, can you try asking the question again rn it makes no sense LOL

. Solve the rational equation x+6 / 3 − x+8 / 5 = 0.

Answers

Answer:

x= -3

Step-by-step explanation:

[tex] \frac{x + 6}{3} - \frac{x + 8}{5} = 0[/tex]

Multiply both sides by 15 (LCM of 3 and 5):

[tex] \frac{15(x + 6)}{3} - \frac{15(x + 8)}{5} = 0[/tex]

5(x +6) -3(x +8)= 0

Expand:

5x +30 -3x -24= 0

2x +6= 0

-6 on both sides:

2x= -6

x= -6 ÷2

x= -3

I need help asap
Please help me!!
contains ordered pairs

Answers

Answer:

which question ?

Step-by-step explanation:

please help me ill mark as brainliest and its worth 50

Answers

Answer:

C    [tex] \dfrac{9a^{12}}{b^3} [/tex]

Step-by-step explanation:

54/6 = 9

a^8 / a^-4 = a^{8 - (-4)} = a^12

b^2 / b^5 = b^-3 = 1/b^3

Answer:  C    [tex] \dfrac{9a^{12}}{b^3} [/tex]

Answer:

Option C

Step-by-step explanation:

[tex] \sf \dfrac{54 {a}^{8} {b}^{2} }{6 {a}^{ - 4} {b}^{5} } [/tex]

We know that

[tex] \sf \: \frac{ {a}^{m} }{a {}^{n} } = a {}^{m - n} [/tex]

[tex] \sf 9 \dfrac{a {}^{8} {b}^{2} }{ {a}^{ - 4} {b}^{5} } [/tex]

[tex] \sf \: 9 \dfrac{ {a}^{8 - ( - 4)} b {}^{(2 - 5)} }{1} [/tex]

[tex] \sf \: 9 \dfrac{ {a}^{12}b {}^{ - 3} }{1} [/tex]

[tex] \sf \: \dfrac{9 {a}^{12} }{ {b}^{3} } [/tex]

What is the least common denominator of this equation

Answers

Answer:

LCD = 30

Step-by-step explanation:

[tex]\frac{5}{6}[/tex] x - [tex]\frac{1}{10}[/tex] x = [tex]\frac{2}{15}[/tex]

Multiply through by 30 ( the LCM of 6, 10, 15 ) to clear the fractions

25x - 3x = 4

22x = 4 ( divide both sides by 22 )

x = [tex]\frac{4}{22}[/tex] = [tex]\frac{2}{11}[/tex]

Answer:

5

Step-by-step explanation:

[tex] \frac{5}{6} x - \frac{1}{10} x = \frac{2}{15} \\ \frac{50x - 6x}{60} = \frac{2}{15} (criss \: cross) \\ \frac{44x}{60} = \frac{2}{15 } \\ \frac{11x}{15} = \frac{2}{15} (simplify) \\ 165x = 30(criss \: cross) \\ x = \frac{30}{165} = \frac{6}{33} = \frac{2}{11} \\ x = \frac{2}{11} [/tex]

A function is shown below.
f (x) = 83 - 11
What value of x makes f (20) = 21?
Enter your answer in the grid below.
please help!

Answers

Answer:

the answer is 4

Step-by-step explanation:

if y=21 the we substitute in the main equation

21=8x-11

8x=32

x=4

Line j has an equation of y = 1/5x + 7. Perpendicular to line j is line k, which passes through
the point (-1, -3). What is the equation of line k?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.

Answers

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \impliedby y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{5}}x+7 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{1}{5}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{5}{1}}\qquad \stackrel{negative~reciprocal}{-\cfrac{5}{1}\implies -5}}[/tex]

so then line K has a slope of -5 and pass through (-1, -3)

[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad \qquad slope=m=-5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-5}[x-\stackrel{x_1}{(-1)}] \\\\\\ y+3=-5(x+1)\implies y+3=-5x-5\implies y=-5x-8[/tex]

Someone help me it’s number 12
You need to find the x value

Answers

k(x)=34
k(34)=-5(34)+14
-5(34)+14=-156
I think

Help help math pelsss please please

Answers

Answer:

162 the answer i think bye have fun

Step-by-step explanation:

How much money should be invested every quarter at 9% per year, compounded quarterly, in order to have $3000 in 8 years? (Round your answer to the nearest cent.)

Answers

Answer:

Step-by-step explanation:

$6,146.76.

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