Rewrite the following expressions using the distributive property.
1. 5(3x - 2)
2. 2x(6x + 5)
3.
2x
(9x + 6)
3
2

Rewrite The Following Expressions Using The Distributive Property.1. 5(3x - 2)2. 2x(6x + 5)3.2x(9x +

Answers

Answer 1
Answer:

1. 5(3x - 2) = 15x - 10
2. 2x(6x + 5) = 12x + 10
3. 2x/3(9x + 6) = 6x^2 + 4x

Related Questions

Find a33 of the arithmetic sequence given a1=17 and d=6.

Answers

Answer:

209

Step-by-step explanation:

Given the following:

[tex]a_{1} = 17\\d=6[/tex]

The nth term of an arithmetic sequence is expressed as:

[tex]a +(n-1)d[/tex]

a is the first term = 17

d is the common difference =6

Get the 33rd term:

[tex]n=33\\a_{33}=17+(33-1)*6\\a_{33} =17+32(6)\\a_{33}=17+192\\a_{33}=209[/tex]

Hence the 33rd term is 209

why is volume calculated in units cubed?

Please help asap for 100 pointsss~!!!!!

Answers

[tex] \sf \: Volume \: is \: calculated \: in \: cubic \: units \: ( {units}^{3} ) \: \\ \sf \: because \: we \: use \: volume \: to \\ \sf \: measure \: the \: space \: enclosed \: by \: \: 3 \: dimensional \: (3-D) \\ \sf \: figures \: like \: cuboid, \: cube, \: cylinder \: etc.[/tex]

What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4?
1
–1
i
–i

Answers

Answer:

B. -1 should be the answer

Step-by-step explanation:

In slope-intercept form, what is the equation of a line perpendicular to y = 2x+ 7 that passes through the point (5,8)?
1
y=0.5x - 10.5
O 2
y = -0.5x + 10.5
3
y = 2x + 10.5
4
y = -2x - 10.5

Answers

Answer:

2

y = -0.5x + 10.5

Step-by-step explanation:

put a negative sign and 1 on top of the number next to the x to get the line thats perpendicular

2

y = -0.5x + 10.5

URGENT!!!!!!! HELP PLEASE!!!!!!

Answers

Answer:

[tex]x^\frac{2}{3}[/tex]

Step-by-step explanation:

Using the power of power rule (multiply the exponents)

[tex]x^\frac{4}{3}[/tex] × [tex]^\frac{1}{3}[/tex]       [tex]x^\frac{2}{3}[/tex] × [tex]^\frac{1}{3}[/tex]

[tex]x^\frac{4}{9}[/tex]            [tex]x^\frac{2}{9}[/tex]

When exponents are multiplied, add the answers:

x ^ ( 4/9 + 2/9 )

x ^ ( 6/9 )

x ^ ( 2/3 )

In a gambling game a person draws a single card from an ordinary 52-card playing deck. A person is paid $17 for drawing a jack or a queen and $5 for drawing a king or an ace. A person who draws any other card pays $2. If a person plays this game, what is the expected gain

Answers

Answer:

[tex]E.G=\$2[/tex]

Step-by-step explanation:

Sample size 52 card

Pay for J or Q [tex]=\$17[/tex]

Pay for King or Ace [tex]=\$5[/tex]

Pay for others [tex]=-\$2[/tex]

Therefore

Probability of drawing J or Q

[tex]P(J&Q)=\frac{8}{52}[/tex]

Probability or drawing King or Ace

[tex]P(K or A)=\frac{8}{52}[/tex]

Probability or drawing Other cards

[tex]P(O)=\frac{36}{52}[/tex]

Therefore

Expected Gain is mathematically given as

[tex]E.G=\sum_xP(x)[/tex]

[tex]E.G=17*\frac{8}{52}+5*\frac{8}{52}+(-2)*\frac{36}{52}[/tex]

[tex]E.G=\$2[/tex]

Which of the following statements is likely to be true?
a) The median personal income of California taxpayers would probably be near the mean.
b) For personal incomes in California, outliers in either tail would be equally likely.
c) The interquartile range offers a measure of income inequality among California residents.
d) For income, the sum of squared deviations about the mean is negative about half the time.

Answers

Answer:

c. The interquartile range offers a measure of income inequality among California residents.

Step-by-step explanation:

The range is the midspread which measures statistical dispersion. This is also known as H-spread which is equal to the difference between 75th percentile and 25th percentile. In the given scenario the interquartile range offers measure of income inequality among California residents.

Follow the process of completing the square to solve x = 4x +3.
x -
Which of the following equations is used in this process?
(2x - 42.19
(2x4,2= 12
(2x 42-28

Answers

9514 1404 393

Answer:

  the correct choice is marked

Step-by-step explanation:

The process for completing the square would generally put x-terms on one side of the equal sign and the constant term on the other side:

  x^2 +4x = 3

Then the square of half the x-coefficient would be added to both sides. Here, that is (4/2)^2 = 4.

  x^2 +4x +4 = 7

In order to make this match one of the answer choices, we must multiply both sides by 4.

  4x^2 +16x +16 = 28

Now, we can factor the left side to see a match to the last answer choice.

  (2x +4)^2 = 28

_____

Additional comment

As you can see, we had to deviate from the "complete the square" process to arrive at an equation that matches an answer choice. It cannot be said that the chosen equation "is used in the process." It might be useful to discuss this question with your teacher.

A CD in the financial sense is
A.
a certificate of deposit
B.
a record of your transactions
C.
a
checking account
D.
a small savings account

Answers

Answer:

Step-by-step explanation:

Answer:

A, Certificate of Deposit

Step-by-step explanation:

Just got it right on Gradpoint

Domain and Range problem help

Answers

Answer:

0 < N <= 200

700 < C <= 2700

Step-by-step explanation:

see my answer to the other very similar question with the sugar transport for the details of the reasons.

Domain is the valid interval of the input variable of the function.

Range is the interval of possible result or functional values of the function.

again, are negative values useful for the number of produced books ? no.

is 0 a useful value for the number of produced books ? no. it would mean running the machines empty. does not make sense.

for the max. costs caused by producing 200 books :

10×200 + 700 = 2000 + 700 = 2700

There is a 60% probability that a home in the United States has a large-screen TV. In a sample of six homes, what is the probability that there will be a large screen TV in:

Answers

Answer: You left out half the question so

Step-by-step explanation:

if you're looking for chance of x houses having a tv, then .6^x is your formula,

if you're looking for chance of x houses not having a tv, then .4^x will find it

Both formulas only apply if you're looking at specific homes, since your question is incomplete I can only guess at what your answer should be.

Give brainiest if right!


Marina spent $13.50 at the grocery store. She bought pears,

kiwis, and pineapples. Pears cost $0.50 each, pineapples cost

$1.50 each, and kiwis are $0.30 each. How many of each kind of

fruit did she buy if she bought 9 more pears than pineapples and

2 fewer kiwis than pears?

Answers

Answer:

Step-by-step explanation:

First we are going to set up our general equation (what is being asked of us). Marina bought pears, pineapples, and kiwis and spent $13.50 on them. The equation for that is

pi + pe + k = 13.5

Now we need to figure out how to eliminate most of those unknowns and put 2 of them in terms of the other 1. It looks like everything is based on the number of pineapples she bought. First it says she bought 9 more pears than pineapples, so obviously, there are more pears than pineapple, so

pe = pi + 9

And if she bought 2 fewer than kiwis thatn pears, and pears = pi + 9, then the number of kiwis she bought was

kiwis = (pi + 9) - 2 which simplifies down to pi + 7.

Now we'll put all of those into the equation:

pi + (pi + 9) + (pi + 7) = 13.5 What I have done is create an equation that is not parallel. In other words, I have the NUMBER of the kinds of fruit on one side of the equation, and the COST of the fruit on the other side, and that's not cool. We have to have EITHER a NUMBER of fruit equation OR a COST of fruit equation, but not both in the same equation. To amend that, we will figure in the cost of each of these kinds of fruit by the correcpsonding number of that kind of fruit. Pineapples cost $1.50 each, so the expression for pineapples is 1.5pi; pears cost $.50 each, so the expression for pears is.5(pi + 9); kiwis cost $.30 each, so the expression for kiwis is .3(pi + 7). NOW we can set up the equation:

1.5pi + .5(pi + 9) + .3(pi + 7) = 13.5 and simplify:

1.5pi + .5pi + 4.5 + .3pi + 2.1 = 13.5 and simplify some more by combining like terms:

2.3pi = 6.9 so

pi = 3. Ok we have 3 pineapples. Now we go back up to the expression for pears:

pe = pi + 9 so

pears = 12. Now we go back to the expression for kiwis:

k = pi + 7 so

kiwis = 10. And there you go!

If the odds a horse will win the Kentucky Derby is 3:2, what is the probability the
horse will win?

Answers

Answer:

=3/(3+2) × 100

=60

Step-by-step explanation:

=3/(3+2) × 100

=60


Find the value of t for at distribution with 40 degrees of freedom such that the area between-1 and equals 99 %. Round your answer to three decimal places, if nescarry

Answers

Answer:

The value is [tex]t = 2.705[/tex].

Step-by-step explanation:

In this question, we have to find the critical value for the t-distribution, with 40 degrees of freedom, and a 99% confidence level.

99% confidence level:

We have to find a value of T, which is found looking at the t table, with 40 degrees of freedom(y-axis) and a two-tailed value of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.705.

The value is [tex]t = 2.705[/tex].

2) Consider the quadratic sequence 72, 100, 120, 132

2.1.1) Determine Tn the nth term of the quadratic.​

Answers

Answer:

Tn = -4n²+40n+36

Step-by-step explanation:

A general quadratic sequence, Tn = an²+bn+c, where n is the term of the sequence.

So, when n = 1, Tn = 72, which means T1 = a+b+c=72.

when n = 2, Tn = 100, which means T2= 4a+2b+c = 100

when n = 3, Tn = 132, which means T3 = 9a+3b+c = 132.

Now, use a calcaulatot to solve the 3 variable simultaneous equation. According to my calculator, a = -4, b = 40, c = 36.

Hence, you a, b, and c in the Tn equation given above.

Therefore, Tn = -4n²+40n+36

HELPPP PLEASE. So I have figured out the first one however I cannot seem to figure out the rest as my answers are wrong. How do solve this problem? Please help!

Answers

Answer:

it seems as it is adding .15 every time so the next 3 would be .05 .20 and .65

Help me solve this please:) I’ll give you brainliest

Answers

Step-by-step explanation:

Given:

[tex]\vec{a} = 5\hat{\textbf{i}} + 4\hat{\textbf{j}}[/tex]

[tex]\vec{b} = 5\hat{\textbf{i}} - 5\hat{\textbf{j}}[/tex]

Then

[tex]2\vec{a} = 2(5\hat{\textbf{i}} + 4\hat{\textbf{j}})[/tex]

[tex]\:\:\:\:\:\:= 10\hat{\textbf{i}} + 8\hat{\textbf{j}}[/tex]

[tex]3\vec{b} = 3(5\hat{\textbf{i}} - 5\hat{\textbf{j}})[/tex]

[tex]\:\:\:\:\:\:= 15\hat{\textbf{i}} - 15\hat{\textbf{j}}[/tex]

Therefore,

[tex]2\vec{a} - 3\vec{b} = (10 - 15)\hat{\textbf{i}} + (8 - (-15))\hat{\textbf{j}}[/tex]

[tex]= -5\hat{\textbf{i}} + 23\hat{\textbf{j}}[/tex]

To find the magnitude,

[tex]|2\vec{a} - 3\vec{b}| = \sqrt{(-5)^2 + (23)^2}= 23.54[/tex]

What is the product?
(x^4)3x^3-2)(4x^2 +5x)?

Answers

Answer:

[tex]{ \tt{( {x}^{4})(3 {x}^{3} - 2)(4 {x}^{2} + 5x) }} \\ = { \tt{( {x}^{4})( {12x}^{6} + 15 {x}^{4} - 8 {x}^{2} - 10x) }} \\ = { \tt{( {12x}^{24} + {15x}^{16} - {8x}^{8} - {10x}^{5} ) }}[/tex]

Answer:

[tex]\left(x^4\right)\left(3x^3-2\right)\left(4x^2+5x\right)[/tex]

[tex](3x^{3} -2)(4x^{2} +5x)[/tex]

[tex]12x^5+15x^4-8x^2-10x[/tex]

[tex]\left(x^4\right)\left(12x^5+15x^4-8x^2-10x\right)[/tex]

[tex]=12x^9+15x^8-8x^6-10x^5[/tex]

Therefore, A is your answer

~~OAmalOHopeO

Which expressions are equivalent to -6n+(-12)+4n
Choose all answers that apply:
A. 4(n-3) -6n
B. 2(2n-6)
C. None of the above

Answers

Answer:

i THINK its A. 4(n-3) -6n

Step-by-step explanation:

Have a wonderful day!!

I need help ASAP with question anyone?

Answers

Answer:

Option D

Answered by GAUTHMATH

Answer:

D.

Step-by-step explanation:

The asymptotes are at x = 1 and x = -4.

The denominator of option D is not defined for x = 1 and x = -4 since those two values cause a zero in the denominator.

Answer: D.

How many solutions will each system of linear equation have?

Answers

Answer:

The top system of equations has one solution, the middle system has infinitely many, and the bottom system has no solution.

Step-by-step explanation:

We can immediately see the top system has one solution because the two equations have different slopes.

For the middle system, we can rearrange terms and multiply by 3 to get that the equations are the same line, so there are infinitely many solutions.

Finally, we can move the -2x to the other side in the first equation of the bottom system to get 2x+y=5. But it also equals -7 from the second equation! This is impossible, so there are no solutions to the bottom system.

(6 + 8) (3 - 2) = help plz

Answers

Answer:

Step-by-step explanation:

(6+8i)(3-2i)

use FOIL

18 - 12i + 24i - (16[tex]i^{2}[/tex])

18 + 12i - (-16)

18 + 12i + 16

34 + 12i

what is 6 cm and 7 mm converted to

Answers

Answer:

converted to what?

Step-by-step explanation:

What is the maximum amount of a loan you can get if you pay $700 each month at a yearly rate of 0.89% for 10 years?

Answers

Answer:

$785.17

Step-by-step explanation:

Given data

PV is the loan amount

PMT is the monthly payment

i is the interest rate per month in decimal form (interest rate percentage divided by 12)

n is the number of months (term of the loan in months)

PMT =$700

n = 10 years

i = 0.89%

The formula for the loan amount is

graph f(x)= - square root -x

Answers

Answer:

1333

Step-by-step explanation:

A car has 2gallons of gas. The car gets 30miles/gallon. Enter the conversion factor

Answers

60 miles til the car needs more gas.

The car will run 60 miles on 2 gallons of gas.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that A car has 2 gallons of gas. The car gets 30 miles/gallon.

The run of the car will be calculated as,

1 gallon = 30 miles

2 gallons = 30 x 2 miles

2 gallons = 60 miles

Therefore, the car will run 60 miles on 2 gallons of gas.

To know more about an expression follow

https://brainly.com/question/13363911

#SPJ2

a carpet is laid on a rectangular floor which measures 4meters by 5meters. if the carpet covers 60% of the floor find the area of the carpet ​

Answers

Answer:

12 m²

Step-by-step explanation:

Area of the floor:

area = length * width

area = 4 m * 5 m

area = 20 m²

area of carpet = 60% of area of the floor

area of carpet = 0.6 * 20 m²

area of carpet = 12 m²

Can you please help me

Answers

Answer:

you will type your answers and send

Answer:

Step-by-step explanation:

⅔-2/5 = 4/15

Every decimeter on a map represents 11.5 kilometers of actual distance. On this map,
specific points M and N are exactly 235 decimeters apart. Therefore, points M and N are
actually how many kilometers apart? Write your answer as a mixed fraction.

Answers

Given:

Scale factor of map is:

1 decimeter = 11.5 kilometers

The distance between M and N on the map is 235 decimeters.

To find:

The Actual distance between M and N.

Solution:

Scale factor of map is:

1 decimeter = 11.5 kilometers

Using this scale factor, we get

235 decimeter = 235 × 11.5 kilometers

235 decimeter = 2702.5 kilometers

235 decimeter = [tex]2702\dfrac{1}{2}[/tex] kilometers

Therefore, the points M and N are [tex]2702\dfrac{1}{2}[/tex] kilometers apart.

Your friend is studying for an exam. Based on your knowledge of your friend, you believe that if they study for the exam, there is an 80% probability they will be able to pass it. On the other hand, if they do not study, there is only a 30% probability they will be able to pass. Your friend is not a particularly industrious student, and you initially believe there is only a 60% probability your friend will study for the exam. A few days later your friend happily proclaims that they passed the exam. Thus, find the probability that they did in fact study for the test with this knowledge in hand.

Answers

Answer:

0.8 = 80% probability that they did in fact study for the test.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Passed the exam.

Event B: Studied.

Probability of passing the test:

80% of 60%(Studied).

30% of 100 - 60 = 40%(did not study). So

[tex]P(A) = 0.8*0.6 + 0.3*0.4 = 0.6[/tex]

Probability of passing the test studying:

80% of 60%, so:

[tex]P(A \cap B) = 0.8*0.6 = 0.48[/tex]

Find the probability that they did in fact study for the test with this knowledge in hand.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.48}{0.6} = 0.8[/tex]

0.8 = 80% probability that they did in fact study for the test.

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