please help!
Cassidy wants to divide 4x^2−2x+3 by x + 2 using synthetic division.

Which answer shows the correct process?
(the answers are in the pictures below)

7) 12 / 6  

(how many party favors can he give to 6 people if he has twelve? each person can get 2)

9) 2(12)    

(Each water bottle is two dollars, how many bottles did she buy? 12. 12 bottles at 2 dollars each would be $24)

*(Answer)*= [tex]x+34=1464[/tex]

Hope this helps

BangtanBoyScouts

the coordinates of the point of intersection of the graphs of lines with

y=−2x+7 and y=0.5x−5.5

to find intersection we solve for x  and y

We replace -2x+7 for y in the second equation

−2x+7 =0.5x−5.5

Subtract 0.5x from both sides

-2.5x + 7 = -5.5

Subtract 7 on both sides

-2.5x = -5.5 - 7

-2.5x = -12.5

divide by -2.5 from both sides

x = 5

Plug in 5 for x in y=−2x+7

y=−2(5)+7

y = -10 + 7

y = -3

The point of intersection is (5,-3)

Anna picked 6 apples

Sabrina picked 7 times as many apples.

Multiply the two numbers together

6 x 7 = 42

Sabrina picked 42 apples

hope this helps

~Rise Above the Ordinary

Anna picked 6 apples. Sabrina picked 7 times as many apples. How many apples did Sabrina pick?

Times, means to multiply, take the only two numbers in the problem and multiply them together.

6 x 7 = 42  

~

Final answer:

The number of pages decreased from 32 to 28, which is a difference of 4 pages. Dividing by the initial number of pages and multiplying by 100 gives a decrease of 12.5%.

Explanation:

To calculate the percentage change when the number of pages in a document decreases from 32 to 28, we follow these steps:

Therefore, there is a 12.5% decrease when a document goes from 32 pages to 28 pages.

Answer:

Step-byhe slope is 4, or 4/1, and the y-intercept is 5, or (0, 5).step explanation:

[tex]\bf \stackrel{slope}{y=\stackrel{\downarrow }{4}x+5}~\hspace{5em}\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}[/tex]

Answer:

Option A is the important variable.

Step-by-step explanation:

Given is - At 9:45 a.m. a patient’s temperature was 101.5 degrees at 10:41, the nurse took the patients temperature again and found it was 105.8 degrees, the highest ever recorded.

The variable that is most important here is A: the number of minutes it took for the to reach its peak.

Firstly it is not mentioned if 10:41 is am or pm.

If its am, then such a temperature rise in less than an hour is very dangerous.

So, the important variable is option A.

Answer:

The answer is B: the number of degrees that the temperature changed.

Step-by-step explanation:

Just took the test

Your profit per lawn is [tex]payed \minus cost[/tex] which is [tex]35 \minus 6 = 29[/tex].

If you want to be profitable, you must earn more than the cost of the lawn mower. Each mowing you earn 29$. We must divide using the formula [tex]cost \divide profit = times[/tex] where times is the amount of times you must mow lawns to be profitable. We get [tex]450 \divide 29 = 15.51...[/tex], but you can't only mow parts of a lawn! Therefore, you must mow 16 lawns to be profitable.

Your second part depends on how many weeks are in the summer.

But the answer would look like $435 per week earned, and -$450 one time cost for the lawnmower.

Part A.

You spend $6 per lawn and charge $35 per lawn, so the profit per lawn is $35 - $6 = $29. Let the number of lawns you mow be n. You earn a profit of $29 pewr laun, so you earn a profit of 29n for mowing n lawns.

29n = 450

Divide both sides by 29.

n = 450/29 = 15.517...

You must mow 16 lawns to make profit.

Part B.

3 lawns per day for 5 days per week means 15 lawns per week. Since you make a profit of $29 per lawn, you will make a profit of 15 * $29 for 15 lawns in each week. 15 * $29 = $435.

You want to make $2500 profit, but you must spend $450 on the lawn mower, so you need to earn a total of $2500 + $450 = $2950.

Let n be the number of weeks. In one week, you make $435 in profit. In n weeks, you make 435n in profit.

435n = 2950

Divide both sides by 435.

n = 6.7816...

If you work for 7 weeks, you will make at least $2500 in profit.

Since the summer vacation is longer than 7 weeks, it is a reasonable goal, but you must take into account the time it takes to mow three lawns in one day.

Answer:

The slope is 4.

Step-by-step explanation:

Use the slope formula.

[tex] m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] m = \dfrac{-7 - 9}{-1 - 3} [/tex]

[tex] m = \dfrac{-16}{-4} [/tex]

[tex] m = 4 [/tex]

First add 150 + 60 = 210

Second divide 500 divided by 210 = 2.3

Jennifer can stay up to 2 nights.

Repeating decimals are considered rational numbers because they can be represented as a ratio of two integers. If a number is terminating or repeating, it must be rational if a decimal is both non terminating and non repeating, the number is irrational.

So yes.

Yes, 5.3 repeating is a rational number. It can be written as the fraction 53/9.

Yes, 5.3 repeating is a rational number. A rational number is a number that can be expressed as a fraction, where both the numerator and denominator are integers. In this case, we can write 5.3 repeating as the fraction 53/9. The decimal 5.3 repeating means that the digit 3 repeats infinitely, so it can be written as 5.3333... In fraction form, this becomes 53/10 + 53/100 + 53/1000 + ...

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The LCM of 5/9 and 11/12

is 36

9*4=36

12*3=36

20/36

&

33/36

Hey there!!

What are the factors of 36?

Ans :- 1 , 36 , 2 , 18 , 3 , 12 , 4 , 9 , 6

Which of these numbers add up to 15 ?

... 12 + 3 = 15

The number are 15.

They add up to 15 and both of these are factors of 36.

Hope my answer helps!!

24 + (8·10)

24 + 80

104 dollars after ten weeks

The slope is 4 and the Y-Intercept is 0.

331 total students. 7 traveled by car.

331 - 7 = 324 were on buses.

There were 6 buses:

324 / 6 = 54 students on each bus.

Answer:

C. $260,400

Step-by-step explanation:

Since Harriet has to pay 20% down, this means she is borrowing 100-20 = 80% of the value.

80% = 80/100 = 0.8; this makes the amount borrowed

0.8(325500) = 260,400

Triangle A'B'C' is the image of triangle ABC under a translation by 3 units right.

Given that, triangle A'B'C' is the image ABC under a translation.

We need to determine the translation.

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions. Since it is just moving the shape from one place to other, there is no change in the shape.

The direction or the path of this change in position of the object can vary i.e., initially the object can move left, then turn right, and so on. While translating, all the points on the shape will shift by the same number of units.

From the given figure we can see triangle ABC is translated by 3 units to the right to get A'B'C'.

Therefore, triangle A'B'C' is the image of triangle ABC under a translation by 3 units right.

To learn more about the translation visit:

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x = [tex]\frac{360A}{\pi r^{2} }[/tex]

multiply both sides by 360 to eliminate the fraction

360A = πr²x ( divide both sides by πr² )

x = [tex]\frac{360A}{\pi r^{2} }[/tex]

Let's x represents the first odd integer

The next consecutive integer would be represented as x+2.

So x and x+2 being multiplied together will give us 1443:

(x)(x+2)=1443

x^2+2x=1443

x^2+2x-1443=0

By solving the quadratic equation using the quadratic formula, x will equal to 37 and -39.

Since the problem says "integers", so I'm assuming two pairs of consecutive integers would be ok.

With that said you 1st pair will be: 37,39

Your second pair will be: -37,-39.

2 and 3/5 is equal to 2.6.

Being as the 2 is in front of the fraction, it is the whole number. This means in decimal form, it is to the left of the decimal point. Since there is no "fifths place" in a decimal, you must make it so it can go under the tenths, hundreths, thousanths or another place within the right side of the deciamal point. Simply multiplying 3/5 by 2/2 will give you 6/10. 6/10 as a decimal, is 0.6. Finally, add 0.6 and 2 together. Thus making 2.6 the answer.

I hope this helps!

The answer would be 25/54

25/54 or .46

7/18+2/27

Yoko would drive 754 miles in 13 hours.

First you would have to find how many miles Yoko drives per hour so you divide 522 miles/9 hours to get 58 miles per 1 hour. Then you multiply 58 * 13 to get 754 miles.

Part (A):

The area of the penalty box.

The dimensions of the penalty box are (15x-1) and (5x-7)

The area of rectangle = length * width

∴ The area of the penalty box = (15x-1) * (5x-7) = 75 x² - 110 x + 7

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

Part (B):

The area of the goal box.

The dimensions of the goal box are (7x-1) and (x+3)

The area of rectangle = length * width

∴ The area of the goal box = (7x-1) * (x+3) = 7x² + 20x - 3

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

Part (C):

The area of the penalty box not coverd by the goal box =

The area of the penalty box - The area of the goal box =

(75 x² - 110 x + 7) - (7x² + 20x - 3) = 68 x² - 130 x + 10

Solve both equations for x:

2x+7 = 3

2x = -4

x = -2

Plug x into the equation which contains b:

b(-2) -10 = -2

-2b = 8

b = -4

Answer:

b = -4

x = -2

To find the value of b so that the equations 2x+7=3 and bx-10=-2 have the same solution, solve the first equation for x, then use that value to solve for b in the second equation. The value of b is -4.

To find the value of b such that the equations 2x+7=3 and bx-10=-2 have the same solution for x, we need to solve the first equation for x.

Solving the equation 2x+7=3:

Subtract 7 from both sides: 2x = -4

Divide both sides by 2: x = -2

Now that we have the solution x = -2, we can plug this value into the second equation to find b:

bx - 10 = -2

Substitute x with -2: b(-2) - 10 = -2

Multiply b by -2: -2b - 10 = -2

Add 10 to both sides: -2b = 8

Divide both sides by -2: b = -4

Therefore, the value of b is -4.

Final answer:

We proved x = 17 given the equations 4y = 2x - 10 and y = 6 through a series of substitution and simplification steps in a two-column proof.

Explanation:

Given the equation 4y = 2x - 10 and the fact that y = 6, we need to prove that x = 17. The process of proving this assertion can be methodically shown through a two-column proof, which lists both the statements and the reasons behind each step.

Through these steps, we have shown that, given 4y equals 2x minus 10 and y is 6, we can prove that x equals 17.

x- coordinate of vertex = - 3

the vertex lies on the axis of symmetry , which is positioned at the midpoint of the zeros

find the zeros by setting y = 0

(x - 6)(x + 12) = 0 ( equate each factor to zero and solve for x )

x - 6 = 0 ⇒ x = 6

x + 12 = 0 ⇒ x = - 12

x coordinate of vertex = [tex]\frac{- 12+6}{2}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3