Which expression is equal to x−4x−7+x2−2x+3x−7 ?

Which Expression Is Equal To X4x7+x22x+3x7 ?

Answers

Answer 1

Answer:

It's the first one.

Step-by-step explanation:

Collect like terms.

x-4+x^2-2x+3

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

x-7

take x and (-2x): this equals -x

Take (-4) and 3: this equals (-1)

reorder the terms

-x-1+x^2

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

x-7

Use the commutative property

x^2-x-1

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

x-7

Answer 2
The answer is the first one

Related Questions

I need help working out this question, and I need to show the work!

I need help working out this question, and I need to show the work!

Answers

Recall that, to compute the product of two fractions, we use the following rule:

\(\frac{a}{b}\times\frac{c}{d}=\frac{a\times c}{b\times d}\text{.}\)

Therefore,

\(\frac{1}{6}\times\frac{2}{5}=\frac{1\times2}{6\times5}\text{.}\)

Simplifying the above result, we get:

\(\frac{1}{6}\times\frac{2}{5}=\frac{2}{30}=\frac{1}{15}\text{.}\)

Answer:

\(\frac{1}{15}\text{.}\)

A test was given to a group of students. The grades and gender are summarized below

A B C Total
Male 3 10 12 25
Female 14 2 13 29
Total 17 12 25 54


If one student is chosen at random from those who took the test,

Find the probability that the student got a 'A' GIVEN they are male.

Answers

The probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

To find the probability that a student got an 'A' given they are male, we need to use Bayes' theorem:

P(A | Male) = P(Male | A) × P(A) / P(Male)

We can find the values of the terms in the formula using the information given in the table:

P(Male) = (25/54) = 0.46 (the proportion of all students who are male)

P(A) = (17/54) = 0.31 (the proportion of all students who got an 'A')

P(Male | A) = (3/17) = 0.18 (the proportion of all students who are male and got an 'A')

Therefore, plugging these values into the formula:

P(A | Male) = 0.18 × 0.31 / 0.46

P(A | Male) ≈ 0.12

So the probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

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A student is solving the equation 2|x-3|=8

A student is solving the equation 2|x-3|=8

Answers

Answer:

Student most likely forgot to form 2nd equation.

Step-by-step explanation:

The answers appear to be cut off, but I can clearly see that the other solution isn't considered. When solving an absolute value equation, you form two equations. In this case, we have x-3=4 and x-3=-4 as our equations because |-4|=|4|=4 so this is accounted for. Hence, the two solutions should be x=7 AND x=-1.

Alicia bought a package of eight peaches for $3.20. Find the cost of each peach.

Answers

Answer:

.40 cents each.

Step-by-step explanation:

$3.20/8=.40

expressions or equations.
Select all the ways to name 14.09.
a. 1,409 hundredths
b. 1 ten + 409 hundredths
c. 1 ten + 4 ones + 9 tenths
d. 140 tenths +9 hundredths
e. 1,409 tenths

Answers

E,D,C I hope that’s right

9.
Which is the graph of the function y = 3x?

9. Which is the graph of the function y = 3x?
9. Which is the graph of the function y = 3x?
9. Which is the graph of the function y = 3x?
9. Which is the graph of the function y = 3x?

Answers

Answer: 4th graph

Step-by-step explanation:

what fraction of a semicircle is an angle that measures 11pi/18 radians? express your answer as a fraction in simplest terms

Answers

Check the picture below.

let's recall that, the arc made from 0 to π is just half a circle or namely a semi-circle, so any fraction of π refers to that arc

\(\cfrac{11\pi }{18}\qquad \textit{really means}\qquad \cfrac{11}{18}\qquad \textit{of that semi-circle}\)

what fraction of a semicircle is an angle that measures 11pi/18 radians? express your answer as a fraction

After examining the reciprocal identity for sect, explain why the function is undefined at
certain points.

Answers

The function is undefined for those values of x where the denominator is zero.

What informs the function to be undefined?

The reciprocal identity for sine, cosine, and tangent states that:

sin(x) = 1/csc(x)

cos(x) = 1/sec(x)

tan(x) = 1/cot(x)

It is important to note that csc, sec, and cot are only defined for values of x where the denominator is not equal to zero.

For example, csc(x) is defined as 1/sin(x), so it is undefined for x = kπ where k is any integer and sin(x) = 0.

Similarly, sec(x) is defined as 1/cos(x) and is undefined for x = (k+1/2)π where k is any integer and cos(x) = 0. Finally, cot(x) is defined as 1/tan(x) and is undefined for x = kπ where k is any integer and tan(x) = 0.

Therefore, the reciprocal identity for sine, cosine, and tangent is only defined for certain input values, and it is undefined for those values of x where the denominator is zero.

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Vanessa runs 4 miles each week. Use the number line below to solve and represent the number of weeks it will take her to run 96 miles.

Answers

The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks

How to calculate the number of weeks used by Vanessa for race?

The amount of distance that Vanessa covers for a week = 4 miles

The amount of weeks it will take for her to cover 96 moles would be = ?

That is;

1 week = 4 miles

X weeks = 96 miles

Make X the subject of formula;

X = 96× 1/4

= 24 weeks

Therefore Vanessa will be able to cover 96 miles in only 24 weeks.

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you scored a total of 258 on the first three tests in algebra but you were sick and unable to take the fourth test. To get a B you must score at least an 84 but less than a 93. Show the range you must score in order to receive an average of a B on all four quizzes.​

Answers

Answer:

To get an average of a B on all four quizzes, you must score a total of at least 84 x 4 = <<84*4=336>>336 on the four quizzes.

Since you have already scored a total of 258 on the first three tests, you need to score a minimum of 336 - 258 = <<336-258=78>>78 on the fourth test.

To get an average of a B on all four quizzes, you must score between 84 and 93 on the fourth test. This means that you must score at least 84 and less than 93 on the fourth test, which is a range of 84 to 92 (inclusive).

Therefore, the range you must score in order to receive an average of a B on all four quizzes is 84 to 92.

Step-by-step explanation:

A local dry-cleaning company bought new equipment and its estimated useful life is 4 years. Using the straight-line depreciation method, what is the rate of depreciation each year?

Answers

Answer:

$2,500 or 25%

Step-by-step explanation:

Let's use the same example:

Cost of Equipment = $10,000

Useful Life = 4 years

Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100

Annual Depreciation = Cost of Equipment / Useful Life

Annual Depreciation = $10,000 / 4 years

Annual Depreciation = $2,500

Depreciation Rate = ($2,500 / $10,000) * 100

Depreciation Rate = 0.25 * 100

Depreciation Rate = 25%


I need help find the value ok k the diagram is not to scale

I need help find the value ok k the diagram is not to scale

Answers

Answer:

73⁰

Step-by-step explanation:

it's so simple... we know total angle of a traingle is 180⁰

so

62⁰+45⁰+k⁰ = 180⁰

107⁰+k⁰=180⁰

k = 180⁰ - 107⁰

K=73⁰

can someone tell me the answer please

can someone tell me the answer please

Answers

Part A: 65/90 because you take the given number of positive test and put it over the total number of test.
Part B: it’s dependent because it depends on the negative to get the probability/likely hood.

21) Kinzang is 1.49 m tall. He was 0.53 m at birth. How much did he grow?​

Answers

Kinzang grew 0.96 meters.

We have,

To find how much Kinzang grew, we need to subtract his height at birth from his current height:

Height Kinzang grew = Current height - Height at birth

Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m

Therefore,

Kinzang grew 0.96 meters.

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(2.5 x 10^9) + (5.3 x 10^8) = (2.5 + 5.3) x (10^9 x 10^8
= 7.8 x 10^7 describe and correct the error​

Answers

Answer:

Read below.

Step-by-step explanation:

Wrong:

(2.5 x 10^9) + (5.3 x 10^8) =

(2.5 + 5.3) x (10^9 x 10^8) =

7.8 x 10^7=

7.8 x 10,000,000=

780,000,000

Bold is edited by me

Correct:

(2.5 x 10^9) + (5.3 x 10^8)=

(2.5 x 1,000,000,000)+(5.3 x 100,000,000)=

2,500,000,000+5,300,000,000=

7,800,000,000

The problem is that whoever wrote it swapped the numbers in the parentheses, added a pair of them together and multiplied the other pair. You are not supposed to take out the pairs and swap them if you'd like or the answer is incorrect. Second mistake is that \(10^{9} * 10^{8}\) is not \(10^{7}\) I do not know how and where you got that answer from.

Simplify. Assume all variables are positive values

Simplify. Assume all variables are positive values

Answers

Answer:

10√(w⁵v⁷)

Step-by-step explanation:

√(20wv³) × √(5w⁴v⁴) = √(100w⁵v⁷)

reduce...

10√(w⁵v⁷)

I hope this helps, please rate!!

Answer:

\(10w^{2}v^{3} \sqrt{wv}\)

Step-by-step explanation:

\(\sqrt{20wv^{3} } \sqrt{5w^{4}v^{4} } =\sqrt{(5)(4)wv(v^{2}) } \sqrt{5(w^{2})(w^{2})(v^{2})(v^{2} ) }\)

\(=(2v\sqrt{5wv} )(w^{2}v^{2} \sqrt{5} )=2w^{2}v^{3} (5)\sqrt{wv}\)

\(=10w^{2}v^{3} \sqrt{wv}\)

Hope this helps

Is x-1
a factor of
x^5-3x^4-2x^3-5x^2+5x+12?
Correct The remainder when you divide is

Answers

The remainder theorem indicates that remainder when the polynomial x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) is 8

What is the remainder theorem?

The remainder theorem specifies the relationship between the division of a polynomial by a linear factor to the value of the polynomial at a specified point

The remainder when the polynomial expression; x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by x - 1, can be found using the remainder theorem by plugging in x = 1 in the function as follows;

f(1) = 1⁵ - 3 × 1⁴ - 2 × 1³ - 5 × 1² + 5 × 1 + 12 = 8

The remainder when x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) therefore is 8

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A circular blade on a saw rotates at 2400 revolutions per minute. Find the angular speed in radians per second.

Answers

Answer:

It should be 7.5 i can't seem to find another answer that says: A circular blade on a saw rotates at 2400 revolutions per minute. Find the angular speed in radians per second.  without having 7.5 in it!

Step-by-step explanation:

I hope im right, i apoligize if im not!

Sluiten
1.) Band A charges $800 to play for the evening and Band B charges $450 plus $1.25 per student.
a. Write a system of equations to represent the costs of the two bands. Use y for total cost and use x for
number of students.
Band A

Answers

Answer:

\(y = 800\) ---- Band A

\(y = 450 + 1.25x\) --- Band B

Step-by-step explanation:

Given

Band A:

\(Charges = \$800\) per student

Band B:

\(Charges = \$450\)

\(Rate = \$1.25\) per student

Required

Write an equation for the system?

For band A, the given charges is irrespective of number of students.

So, the total cost y is:

\(y = 800\)

For band B, the total y is calculated as thus:

y = Base Charges + Rate * Number of students (x)

\(y = 450 + 1.25 * x\)

\(y = 450 + 1.25x\)

So, the charges for the bands are:

\(y = 800\) ---- Band A

\(y = 450 + 1.25x\) --- Band B

help please need asap

help please need asap

Answers

Answer:

A. Obtuse B. Right C. Acute D. Acute Hope this helps :)

i need this done help please asap i have a meeting with my teacher in 30 minutes

i need this done help please asap i have a meeting with my teacher in 30 minutes
i need this done help please asap i have a meeting with my teacher in 30 minutes
i need this done help please asap i have a meeting with my teacher in 30 minutes
i need this done help please asap i have a meeting with my teacher in 30 minutes
i need this done help please asap i have a meeting with my teacher in 30 minutes

Answers

The answer to the given permutation and combination are

3024015585009252

To solve the given problems, we have to use permutation and combination

Permutation and Combination

This is a topic in mathematics that deals with the probability or number of ways an event can occur.

a)10P5

\(_1_0P_5 = 30240\)

b) 6C2

\(_6C_2 = 15\)

c) This will be a multiplication of permutation of number. This becomes

\(_2_6P_2 * _1_0P_2 = 58500\)

This can happen in 58,500 ways.

d) To arrange 9 blocks in a row, she can do it in

\(_9C_1 = 9\)

she can do this in 9 ways

e) This can be solved using combination by writing it as

\(_1_0C_5 = 252\)

She can do this in 252 ways.

From the above calculations, the answer to the given permutation and combination are

3024015585009252

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PLEASE ANSWER THIS QUESTION RIGHT.What do we call the graph of a quadratic?

Answers

Answer:

parabola

Step-by-step explanation:

Solve the proportion for the item represented by a letter. Enter only the number without the letter and equal sign.

4 over H equals 5 over 25

Answers

The value of H is 20 in the proportion 4 over H equals 5 over 25.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

A proportion is an equation in which two ratios are set equal to each other

4 over H equals 5 over 25

4/H=5/25

Apply cross multiplication

4×25=5H

100=5H

Divide both sides by 5

20=H

Hence, the value of H is 20 in the proportion 4 over H equals 5 over 25.

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Answer and Explanation Please

Answer and Explanation Please

Answers

Step-by-step explanation:

this is crazy but fun and easy

Answer and Explanation Please

The value is 1024

Given that (x.x^2.x^3.....x^15)/(x^2+x^4+x^6...x^20)

How to Multiply Exponents With same Bases?

The bases of the equation stay the same, and the values of the exponents get added together

(x^1+2+3+4+5+6+7+8+9+10+11+12+13+14+15)/(x^2+4+6+8+10+12+14+16+18+20)

(x^120)/(x^110)

(x^10)

Now =2

2^10=1024

Therefore  (x.x^2.x^3.....x^15)/(x^2+x^4+x^6...x^20)=1024 when x =2

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3/8=4/7x what is x please help me omg

Answers

The value of the variable x = 21/32

What are algebraic expressions?

Algebraic expressions are simply described as expressions that are composed of variables, coefficients, terms, constants and factors.

These expressions are also made up of certain arithmetic or mathematical operations.

These operations includes;

SubtractionDivisionAdditionMultiplicationBracketParentheses

From the information given, we have that;

3/8=4/7x

cross multiply the values, we have;

7x(3) = 8(4)

multiply the values and expand the brackets, we get the values;

21x = 32

Divide both sides by the coefficient of the variable x, we get;

x = 32/21

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Which is the graph of f(x) = 100(0.7)?

Answers

Answer:

f(x) = y = 70

Step-by-step explanationsince

since 100 · 0.7 = 70

      f(x) = y = 70

Answer:

Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

Step-by-step explanation:

Edge


What is the equation of the line that passes through the point (8,3) and has a slope
of
1/4

Answers

Answer:

y = 1/4x+1

Step-by-step explanation:

Using slope intercept form

y = mx+b

where m is the slope and b is the y intercept

y =1/4 x+b

Substituting in the point

3 = 1/4(8)+b

3 = 2+b

Subtract 2 from each side

3-2 = b

1 =b

y = 1/4x+1

Answer:

y=1/4x+1

Step-by-step explanation:

the equation for a line is y=mx+b

where m is the slope and b is the y-intercept. since we have our slope given and and x,y given we can use that to solve for b. we get:

3=1/4(8)+b

3=2+b

1=b

therefore the y-intercept is b

so the equation is y=1/4x+1

For a géometric sequence, if a1=9 and a5
=2304, what is the value of r?

Answers

The value of common ration r is 4.

Given that,

a₁ = 9

a₅ = 2304

We know that,

A geometric sequence  is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.

The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.

Since we know that nth term of GP is,

\(a_{n}\) = a₁ \(r^{n-1}\)

Therefore,

a₅ = a₁ \(r^{4}\)  = 2304

⇒  9 x \(r^{4}\)  = 2304

⇒        \(r^{4}\)  = 256

⇒           r = 4

Hence, r = 4

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one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king? ​

Answers

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Select all the correct graphs.
The coach of the middle school track team collects data on the long jump. He records the length of the best jump in inches for each student.
The results are shown in the table below.

Select all the correct graphs.The coach of the middle school track team collects data on the long jump.

Answers

Answer:

garoph 1 and 2 hope this helps

Step-by-step explanation:

Answer:

1 and 2

Step-by-step explanation:

if correct please give brainlist

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