what is the sum of the arithmetic sequence 3,9,15..., if there are 22 terms

Answers

Answer 1

Answer:

The arithmetic sequence given above has a first term (a1) equal to 3 and the common difference (d) equal to 6. The sum of the first n terms of the sequence is calculated through  the equation,

                               Sn = (n/ 2) x (2a1 + (n - 1) x d)

Substituting,

                               S22 = (22 / 2) x (2x3 + (22 - 1) x 6) = 1452

Therefore, the answer is the first choice, 1452. 

Step-by-step explanation:

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Answer 2

Answer:

1452.

Step-by-step explanation:

Sum of n terms = n/2  [2a1 + d(n - 1) ] where a1 = the first term and d = the common difference.

Here a1 = 3 and d = 9-3 = 6.

So S22 = 11 [2*3 + 6(22-1)]

=  11 * 132

=  1452


Related Questions

Factor completely, then place the factors in the proper location on the grid. 3y4 - 2y2 - 5

Answers

Answer:

[tex] (3y^2-5)(y^2+1) [/tex]

Step-by-step explanation:

Let's see if we can think of two numbers that multiply to be 3(-5)=-15

andd add up to be -2

How about -5 and 3? That work's! :)

[tex]3y^4-5y^2+3y^2-5[/tex]

Factor by grouping!

[tex]y^2(3y^2-5)+1(3y^2-5)\\(3y^2-5)(y^2+1)[/tex]

Final answer:

The polynomial 3y^4 - 2y^2 - 5 does not appear to be factorable with integer values. The reference to placing the factors in a particular location on a grid would likely relate to a tool or diagram provided by your instructional material.

Explanation:

To factor the cubic polynomial 3y4 - 2y2 - 5, we first find the common factor which in this case is none. The next step is to try grouping, and if that's not possible, we can solve the polynomial using the quadratic formula or synthetic division. However, this polynomial does not seem to be factorable with integer values.

Unfortunately, without additional context, it's not clear what grid the problem refers to, or where the location you're supposed to place the factors is. It's likely this refers to some sort of tool or diagram provided by your teacher or textbook. In general, you would write down the factors in their proper locations in that tool or diagram, according to the rules or guidelines you were given.

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ASAP On the coordinate plane below, quadrilaterals TRAP and HELP are similar to each other.

Determine the ratio of the perimeter of HELP to TRAP.

2:1
3:2
1:2
2:5

Answers

Answer:

1 : 2

Step-by-step explanation:

Since the quadrilaterals are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{HP}{TP}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]

Thus the ratio of perimeters is also 1 : 2

Answer:

1:2.

Step-by-step explanation:

HP and TP are corresponding sides and their lengths are  2 and 4.

Thats a ratio of 1 :2.

The perimeter is also one dimensional so the ratio of the perimeters is also 1:2.

George and his dad are planning to attend the state fair. An adult tickets is $19.00. The price of an adult tickets is 1/3 the price of a student ticket plus $15.00. Write an equation to determine how much George will pay for a student ticket

Answers

Answer:

$12

Step-by-step explanation:

If x is the price that George pays for a student ticket, then:

19 = ⅓ x + 15

To solve for x, first subtract 15 from both sides:

19 - 15 = ⅓ x

4 = ⅓ x

Then multiply both sides by 3:

4 × 3 = x

12 = x

Answer:

1/3x + 15 = 19

Step-by-step explanation:

Well this is a simple equation where you write it out EXCACTLY like the question says, the 1/3 is the 1/3 the price of a student ticket and add the x to represent the unknown amount (student ticket), the 15 represents the plus $15.00 which equals 19

Hope this helps,

(btw dont >EVER TRUST< the -->"TRUSTED ANSWERS"<-- because all it means is that they are expirienced NOT that the answer is right)

3. Which number is closest to zero on
the number line?
A -3/8
B 3/4
C 0.3
D 0.50

Answers

Final answer:

The number closest to zero on the number line from the given options is 0.3, making the correct answer C) 0.3.

Explanation:

The question asks which number is closest to zero on the number line from the given options: A) -3/8, B) 3/4, C) 0.3, D) 0.50. To find out which is closest to zero, compare the absolute values of these numbers (since we are interested in the distance from zero, not the direction).

Absolute value of A) -3/8 is 0.375

Absolute value of B) 3/4 is 0.75

Absolute value of C) 0.3 is 0.3

Absolute value of D) 0.50 is 0.5

Comparing these values, 0.3 is the smallest absolute value, which means it is the closest to zero. Therefore, the correct answer is C) 0.3.

Solve y = x^2 - 18 for x.
O A. x= ty - 18
O B. x= y +18
O c. x= y - 18
O D. x= + y + 18

Answers

Answer:

x = √y+18

Step-by-step explanation:

Given

[tex]y = x^2-18[/tex]

In order to solve the equation for x, we have to isolate x on one side of the equation

So,

[tex]y+18 = x^2 -18 + 18\\y + 18 = x^2[/tex]

We have to find the value for x, so taking square root on both sides

[tex]\sqrt{x^2} = \sqrt{y+18}[/tex]

Solving the squre root

x = [tex]x = \sqrt{y + 18}[/tex]

Hence,

x = √y+18 is the correct answer ..

What is the value of y?

Answers

Answer:

A. 44°

Step-by-step explanation:

180° (straight line) - 88°

= 92

180° - 92°

= 88°

2y = 88°

y = 44°

Answer:

A 44

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

88 = y+y

88 =2y

Divide by 2

88/2 = 2y/2

44 = y

Solve the given system of equations. 2y= -x+9 , 3x-6= -15

Answers

Answer:

x = -3, y = 6 → (-3, 6)

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}2y=-x+9\\3x-6=-15&\text{add 6 to both sides}\end{array}\right\\\left\{\begin{array}{ccc}2y=-x+9\\3x=-9&\text{divide both sides by 3}\end{array}\right\\\left\{\begin{array}{ccc}2y=-x+9\\x=-3\end{array}\right\qquad\text{put the value of x to the first equation}\\\left\{\begin{array}{ccc}2y=-(-3)+9\\x=-3\end{array}\right\\\left\{\begin{array}{ccc}2y=3+9\\x=-3\end{array}\right\\\left\{\begin{array}{ccc}2y=12&\text{divide both sides by 2}\\x=-3\end{array}\right\\\left\{\begin{array}{ccc}y=6\\x=-3\end{array}\right[/tex]

How many distinct factors does 75 have?

Answers

Answer:

The distinct factors of 75 are 1, 3, 5, 15, 25, 75.

Step-by-step explanation:

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Answer:

6

Step-by-step explanation:

1,3,5,15,25,75

Please someone help me out

Answers

Answer: 60/2

Step-by-step explanation:

When you multiply 60 and 1/2 you get 30 which is the same as 60/2

ANSWER

[tex] \sqrt{60} [/tex]

EXPLANATION

The given exponentiial expression is

[tex] {60}^{ \frac{1}{2} } [/tex]

Recall that

[tex] {a}^{ \frac{1}{n} } = \sqrt[n]{a} [/tex]

A special case of this rule is when n=2.

Then,

[tex] {a}^{ \frac{1}{n} } = \sqrt{a} [/tex]

This implies that

[tex]{60}^{ \frac{1}{2} } = \sqrt{60} [/tex]

The correct answer is B.

Help please!
Find x
x=
7
7/2
/(14)

Answers

Answer:

x = 7

Step-by-step explanation:

recognize that this is a right triangle with one of the  internal angles = 45°. This means that the other angle not shown is 180 - 90 - 45 = 45°

This makes the triangle an isosceles triangle.

If so, x must be the same length as the other side adjacent to 90°

i.e x = 7

Danny is older than Felicia. The difference between their ages is 21. The sum of their ages is 35. How old is Felicia?

Answers

Answer:

Felicia is 7 years old

Explanation:

The variable, d, can represent Danny's age.

The variable, f, can represent Felicia's age.

Basically, using the information provided, you can make two equations.

1.) d - f = 21

2.) d + f = 35

This is a system of equations. To solve for this, I'm going to subtract the 2 equations:

    d - f = 21

-   d + f = 35

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

    -2f = -14

       f = 7

If Felicia is 7, and they're total ages added is 35, subtract 7 form 35

35 - 7 = 28

So, Danny would be 28.

To double check your answers;

28 + 7 = 35

28 - 7 = 21

So Felicia is 7 years old. I hope this helps! :)

Miguel is making smoothies out of yogurt and juice to serve to his friends, and he needs to make 12 cups. The ratio of yogurt to juice is 2 cups to 1 cup.

How much yogurt will he use?
A.
3 cups
B.
4 cups
C.
8 cups
D.
9 cups

Answers

So the ratio of the mixture is

2:1

The total units would be 3 cups
But you want 12 cups so you’ll times it by 4

2:1. 3

x 4

8:4 12

So it’s 8 cups

Option C

3. Kim ran 3 one-mile races, 6 two-mile races, 4 five-mile races, and 1 ten-mile race. What is the mean number of miles Kim ran in the races? Show your work.

Answers

Answer:

3.2 miles

Step-by-step explanation:

The "mean" of a set of numbers is the average. To get this, you add up all of the numbers and then divide by however many there are. So, let's lay out the races that Kim ran.

1, 1, 1, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 10

These numbers add up to 45 total miles ran. You can add them up individually or make an equation.

x = (3 × 1) + (6 × 2) + (4 × 5) + (1 × 10)

x = 3 + 12 + 20 + 10

x = 15 + 30

x = 45

Now, divide by the total number of races, 3 + 6 + 4 + 1 = 14

So, the mean will be

45 ÷ 14 = 3.21 or about 3.2

Answer:

Straight to the point : 3.2

Explanation is above me my friends.

What is the slope of a line that is parallel to y=3x+5

Answers

Answer: Slope = 3

Step-by-step explanation:

On a 2D-Plane, any two lines with the same slope and a different y-intercept will be parallel

Knowing this, any line with the same slope as our given line and a different y-intercept will be parallel to it

Therefore, any line with a slope of 3 and a y-intercept other than 5 will be parallel to y = 3x + 5

The answer you are looking for is a slope of 3.

Parallel lines have the same slope (M value in Y = MX + B), but different y-intercepts (B value in Y = MX + B) For example, y = 3x + 7 would be parallel to the line given above, since they slope is the same, but the y-intercept is different.

I hope this helps!

evaluate the expression xy for x = 6 and y=3

Answers

Substitute the numbers for xy

(6)(3)

= 18

Answer is 18

The expression xy for x = 6 and y = 3 is 18.

We have to evaluate, the expression xy for x = 6 and y = 3.

According to the question,

To find the expression xy calculation must be done in a single unit following all the steps given below.

The value of x = 6 and y = 3,

Then,

The multiplication of xy is,

[tex]= x\times y \\\\= 6 \times 3\\\\= 18[/tex]

Hence, The expression xy for x = 6 and y = 3 is 18.

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Inez has a phone card. The graph shows the number of minutes that remain on her phone card after a certain number of days.

The slope of the line that represents the data is –50, and the y-intercept is 850. What do the slope and y-intercept represent in Inez’s situation?

The y-intercept indicates that the phone card started with 850 minutes. The slope indicates that 50 minutes were used per day.

The y-intercept indicates that the phone card started with 50 minutes. The slope indicates that 850 minutes were used per day.

The slope indicates that the phone card started with 850 minutes. The y-intercept indicates that 50 minutes were added per day.

The slope indicates that the phone card started with 50 minutes. The y-intercept indicates that 850 minutes were added per day.

Answers

Answer:

The y-intercept indicates that the phone card started with 850 minutes. The slope indicates that 50 minutes were used per day.

Step-by-step explanation:

The graph cuts the y-axis at 850.This indicates that the phone card started with 850 minutes before it was used.

The slope of the graph is -50.This means that in every increase of one in the input variable (number of days), you get a decrease of 50 in the output variable (number of minutes remaining). This indicates every day, 50 minutes were used, hence 50 minutes reduced from the card per day.

The answer is A. The y-intercept indicates that the phone card started with 850 minutes. The slope indicates that 50 minutes were used per day.

This is because she started with 850 and the graph shows a decrease, so this means that she loses 50 per day or that she uses 50 per day.

Simplify (x^4-9x+5x^7)+(5x-10+3x^4-2x^2)

Answers

Answer:

5x^7 + 4x^4  - 2x^2 - 4x  - 10

Step-by-step explanation:

(x^4-9x+5x^7)+(5x-10+3x^4-2x^2) = 4x^4 - 9x + 5x^7  + 5x - 10 - 2x^2

                               = 4x^4 - 9x + 5x^7  + 5x - 10 - 2x^2

                                = 4x^4 - 4x + 5x^7  - 10 - 2x^2

                                = 5x^7 + 4x^4  - 2x^2 - 4x  - 10

How will you write 5 x 5 x 5 x 5 x 5 as an exponential expression?
OA. 5x5
OB. 55
Oc. 545
OD. 5
Reset
Next

Answers

Answer:

Step-by-step explanation:

5 * 5 * 5 * 5 * 5 = 5^5

Written in Latex, which is the best way to show this, the answer is

[tex]5^{5}[/tex]

I think you might mean B. If you do then it is correct, but it must be shown as 5^5

Three points are collinear
-always
-sometimes
-never

Answers

Answer:

Sometimes

Step-by-step explanation:

Note that the word "collinear" means lying on the same line.

The three points can be on the same line, but not always. For example, the three points can form a triangle, a square-u, etc.

~

Answer:

sometimes

Step-by-step explanation:

Three points are sometimes collinear

There are infinite points on a line, so they can be collinear.

But 3 points make a triangle, so they are not on a line, so they are not collinear.


A test has multiple choice questions with 5 choices for each answer; only one answer is correct for each question.
Suppose a student guesses the answer to each question. Assuming the guesses are independent, find the probability
that the student will guess correctly when answering two questions.
o 1/5
1/10
01/25

Answers

Answer:

1/25

Step-by-step explanation:

The probability of guessing the first question correct is 1/5

The probability of guessing the second question correct is 1/5

Since they are independent

P(correct, correct) = P(1st correct) * P(2nd correct)

                               = 1/5 * 1/5

                               = 1/25

Two cylinders. The smaller cylinder has height labeled as 6 cm. The larger cylinder has height labeled as 18 cm.



The cylinders are similar. The volume of the larger cylinder is 40,635 cubic centimeters. What is the volume of the smaller cylinder?



1505 cm3


2578 cm3


1145 cm3


2123 cm3

Answers

Answer: first option.

Step-by-step explanation:

You know that the height of the smaller cylinder is 6 cm and the height of the larger cylinder is 18 cm, then you can find the volume ratio. This  is:

[tex]Volume\ ratio=(\frac{6cm}{18cm})^3\\\\Volume\ ratio=\frac{1}{27}[/tex]

Knowing that the volume of the larger cylinder is 40,635 cubic centimeters, you need to multiply it  by the volume ratio to find the volume of the smaller cylinder.

Therefore:

[tex]V_{smaller}=\frac{1}{27}(40,635\ cm^3)\\\\V_{smaller}=1,505\ cm^3[/tex]

Use the compound interest formula A = P(1 + r) and the given information to solve for r.
A = $3,000,000, P = $20,000, t = 40

Answers

Step-by-step explanation:

A=P(1+R)

A/P=1+R

(A/P)-1=r

(3000000/20000)-1=r

149=r

[tex]\textbf{Answer:}[/tex]

[tex]r\approx 0.13345[/tex]

[tex]\textbf{Step-by-step explanation:}[/tex]

[tex]\text{Your formula is missing something: t}[/tex]

[tex]\text{It should read }A=P(1+r)^t[/tex] [tex]\text{Where A is the final amount, P is the principal, r is rate in decimal, and t is time in years}[/tex]

[tex]\text{Given that A=3000000, P=20000, and t=40, we can subsitute and solve}[/tex]

[tex]A=P(1+r)^t[/tex]

[tex]\text{subsitute}[/tex]

[tex]3000000=20000(1+r)^{40}[/tex][tex]\text{ now solve for r}[/tex]

[tex]\text{Divide both sides by 20000}[/tex]

[tex]150=(1+r)^{40}[/tex]

[tex]\text{Take the 40th root of both sides }(\sqrt[40]{})[/tex]

[tex]\sqrt[40]{150}=1+r[/tex]

[tex]\text{subtract 1 from both sides}[/tex]

[tex]\sqrt[40]{150}-1=r[/tex] [tex]\text{ or in approximate form, }[/tex][/tex]r\approx 0.13345[/tex]

hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each

Answers

3.95(3) + 8.95b = 47.65

11.85 + 8.95b = 47.65

Subtract 11.85 from both sides.

8.95b = 35.8

Divide 8.95 from both sides.

b = 4

Hugh bough 4 books.

solve 7x-9=28+4(x-1)

Answers

Answer:

I know this is way late but its(11)

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

A teacher reviews 4-1/2 papers per hour, how many papers will that teacher review in 6-1/3 hours

Answers

Answer:

[tex]28\frac{1}{2}\ papers[/tex]

Step-by-step explanation:

step 1

Convert mixed numbers to an improper fractions

[tex]4\frac{1}{2}=\frac{4*2+1}{2}=\frac{9}{2}[/tex]

[tex]6\frac{1}{3}=\frac{6*3+1}{3}=\frac{19}{3}[/tex]

step 2

we know that

A teacher reviews 9/2 papers per hour

using proportion

Find how many papers will the teacher review in 19/3 hours

Let

x-----> the number of papers

[tex](9/2)/1=x/(19/3)[/tex]

[tex]x=(19/3)(9/2)[/tex]

[tex]x=28.5\ papers[/tex]

Convert to mixed numbers

[tex]28.5=28\frac{1}{2}\ papers[/tex]

Final answer:

A teacher that reviews 4.5 papers an hour would be able to review approximately 28 papers in 6-1/3 hours, rounding down to the nearest whole paper.

Explanation:

To solve this math problem, you'll need to multiply the amount of papers that the teacher can review in one hour by the total amount of hours they worked. The teacher reviews 4.5 papers per hour, and they will be working for 6.33 hours (which is the decimal equivalent of 6-1/3 hours). Let's do the math:

4.5 papers/hour * 6.33 hours = 28.485 papers

Therefore, the teacher would be able to review approximately 28 papers in 6-1/3 hours. Please note that the number of papers reviewed has been rounded down in this scenario to remain realistic - a paper can either be reviewed or not reviewed and we cannot count half-reviewed papers.

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Which expression is equivalent to ?

x5
algebra II engenuity

Answers

Answer:

Last Option

Step-by-step explanation:

Given expression is:

[tex]\sqrt[4]{\frac{24x^6y}{128x^4y^5}}[/tex]

Simplifying the radicand

[tex]=\sqrt[4]{\frac{8*3*x^6*y}{8*16*x^4*y^5}}\\=\sqrt[4]{\frac{3*x^6*y}{16*x^4*y^5}}\\=\sqrt[4]{\frac{3*x^6*y}{2^4*x^4*y^5}}\\=\sqrt[4]{\frac{3*x^{(6-4)}}{2^4*y^{(5-1)}}}\\=\sqrt[4]{\frac{3*x^{2}}{2^4*y^{4}}}\\Applying\ Radical\\= \frac{\sqrt[4]{3x^2}}{2y}[/tex]

Hence,

Last option is correct ..

If 8=x+y and y>0, then x is

Answers

Answer:

x<8

Step-by-step explanation:

We have one equation and one inequation:

8=x+y                      [1]

y>0                          [2]

Solving [1] for 'y' we have:

8=x+y → y = 8-x

If y>0, then 'x' must be less than 0. Given that if 'x' is equal or greater than 8, 'y' will take negative values.

Then: x<8

What is the value of the product (3-2i)(3+2i)?

Answers

Answer:

13

Step-by-step explanation:

(3-2i)(3+2i) = 9  + 6i - 6i - 4i^2

9 - 4i^2

9 + 4 = 13

(3 - 2i)(3 + 2i)
(6 + 6i) + (-6i - 4i^2)
(4i^2 - 6i)
+ (6i + 6)
(4i^2 + 6)

Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation? {–7, 1} {1, 7}

Answers

Answer:

[tex]\large\boxed{\{-7,\ 1\}}[/tex]

Step-by-step explanation:

[tex]x^2+6x=7\\\\x^2+2(x)(3)=7\qquad\text{add}\ 3^2=9\ \text{to both sides}\\\\x^2+2(x)(3)+3^2=7+9\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+3)^2=16\Rightarrow x+3=\pm\sqrt{16}\\\\x+3=-4\ \vee\ x+3=4\qquad\text{subtract 3 from both sides}\\\\x=-7\ \vee\ x=1[/tex]

Expand and Simplify
(2x + 1)(x - 2)(x + 3)

Answers

Answer:

Answer is =2x^3+3x^2-11x-6

Step-by-step explanation:

First of all multiply first and second bracket.

=x(2x+1) -2(2x+1)

=2x^2+x-4x-2

=2x^2-3x-2

Now multiply 2x^2-3x-2 with (x+3)

=x(2x^2-3x-2) +3(2x^2-3x-2)

=2x^3-3x^2-2x+6x^2-9x-6

=2x^3+3x^2-11x-6

Final answer:

The expansion and simplification of the expression (2x + 1)(x - 2)(x + 3) is 2x^3 + 3x^2 - 11x - 6.

Explanation:

To expand and simplify the expression (2x + 1)(x - 2)(x + 3), we use the distributive property (a(b + c) = ab + ac) to distribute each term of one binomial with each term of the others.

We start by expanding the first two brackets : (2x + 1)(x - 2). This gives 2x^2 - 4x + x - 2 or, 2x^2 - 3x - 2.

Now, we expand the above result with (x + 3): (2x^2 - 3x - 2)(x + 3) yielding 2x^3 - 3x^2 - 2x + 6x^2 - 9x - 6.

When we simplify that, we get : 2x^3 + 3x^2 - 11x - 6. So, the expansion and simplification is : (2x + 1)(x - 2)(x + 3) = 2x^3 + 3x^2 - 11x - 6.

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Question 19 of 241 PointWhich value of x makes the quotient of (6x +90X2 - 135x)=(x+5) undefined? This is the state of being mentally affected by a chemical. Which of these comments best illustrates the technique of setting an objective during a discussion? A. Did you see the information on page 26? B. Why do you disagree with Rock's opinion? C. Is the author more reliable because she's a doctor? D. Should we search the internet to find out more about this era? Which is the approximate solution for the system of equations 8x - 10y = -23 and 9x + 10y = -16? Now starting with lithium, look at its electron configuration. Then look at all eight elements in the second period from lithium to neon (Ne). What do you notice about the change in the electron configuration as you go from left to right A researcher is studying end-times beliefs of Christians by surveying members of his Methodist church.This study may suffer from what type of bias?Participation biasAvailability errorSelection biasNo bias What is the molarity of a solution that contains 289 grams of sugar in a 2 L solution? (Molar mass of sucrose is 342.2965g/mol). Show your work Please answer ASAP!! d) The surface area if Lake Superior is approximately 31,700 square miles. Expressthe surface area of the lake in square kilometers to the nearest square kilometer.Use the fact that 1 kilometer = 0.6214 miles. (5 pt.) How many grams of NaOH are needed to make 0.250 liter of a 0.500 M solution of NaOH? 0.125 g 5.00 g 2.00 g Find the value of two numbers if their sum is 17 and their difference is 1. Which of the following statements about tremors is incorrect: a. Tremors are involuntary, rhythmic oscillatory motions, alternating or synchronous contractions of antagonist musclesb. Beta blockers and deep brain stimulation can help treat tremorsc. Stress and caffeine should be avoided to prevent tremorsd. Intention tremors are caused by damage to synapses in the striatum e. All of the above are correct Add the following polynomials, t- 3x2 - 2xy + y2- 4x2 - xy +6y2x2+ 6xy- y2 Which sentences use the active voice? Select three options.You'll have to hurry if you want to catch the next bus into the city!Shakespeare's plays may have been written by more than one person.The tree was struck by lightning, and then had to be cut down by Maria.You should use wool cloth to make a winter coat, and line it, too.Jake threw the laundry into the machine and put quarters in the slots. 7(x - 2) = 3(x + 4)Solve the following equation. Then enter your answer in the space provided using mixed number format. The Protestant work ethic was viewed in terms of its relationship to:evolution and natural selectioncapitalismdeterminismprejudice and discrimination Scientific models are based on current knowledge, which can limit their effectiveness when new discoveries are made. Which of the following effects does the recessive allele have in an organism which also displays a dominant allele?A.the recessive allele will turn into a dominant alleleB.the gene will have a disorderC.the dominant allele will become recessiveD.it has no effect what is the region of earth that provides support for all living things Bag a contains 3 white marveled and 2 marbles bag b contains 6 white marbles and 3 red marbles a person draws one marbles from each bag find the probability that both marbles are white Given one zero of the polynomial function, find the other zeros. f(x)=x^3+3x^2-34x+48; 3f(x)=x^3+2x^2-20x+24; -6f(x)=2x^3+3x^2-3x-2; -2f(x)=3x^3-16x^2+3x+10; 5