According to Synthetic division below, which of the following statements are true

According To Synthetic Division Below, Which Of The Following Statements Are True

Answers

Answer 1

Answer:

B, E, and F.

Step-by-step explanation:

We can apply synthetic division when dividing a polynomial P(x) by a binomial in the form (x - a).

Looking at the coefficients, we can see that our dividend is:

[tex]3x^2-11x+10[/tex]

Our divisor will be (x - a), where a is the number on the very top left.

So, a = 2.

Thus, our divisor is:

[tex](x-2)[/tex]

Note that our remainder is 0.

So, the synthetic division shown is telling us that:

[tex]( 3x^2 - 11x + 10) \div (x-2) = 3x - 5[/tex]

Hence, E is the correct choice. A uses the incorrect divisor.

If the divisor successfully divides with no remainder, then the divisor is a factor.

Since (x - 2) successfully divided with no remainder, (x - 2) is indeed a factor of the polynomial.

Hence, B is also correct.

C uses the wrong factor.

D uses the wrong value. It should be positive 2.

So, F is the correct choice.

Therefore, the answers are: B, E, and F.


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Answers

Answer:

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Answer:

y^4/x^2

Step-by-step explanation:

i wish i could show the work but tbh i just use the link i comment under

Its helpful

100 points ASAP!
A scale drawing of Julie's living room is shown below:



A rectangle is shown. The length of the rectangle is labeled as length equal to 8 cm, and the width is labeled as width equal to 6 cm.


If each 2 cm on the scale drawing equals 4 feet, what are the actual dimensions of the room?

Length = 16 feet, width = 12 feet
Length = 10 feet, width = 8 feet
Length = 32 feet, width = 24 feet
Length = 14 feet, width = 12 feet

Answers

Answer:

Length = 16 feet, width = 12 feet

Step-by-step explanation:

The length is 8 cm. So divide this by 2 to find out how many 2 cm are in 8 cm. You get 4. Multiply 4 x 4 (ft) to find out the real length. This means the length is 16 feet.

Do the same steps with the width. The real length is 12 feet.

Hope it helps!

Answer

First off, nice 100 point scam, don't do it again, because you could get warned or even worse banned, second off Have a great day!

Length = 16 feet, width = 12 feet

Step-by-step explanation:

The length is 8 cm. So divide this by 2 to find out how many 2 cm are in 8 cm. You get 4. Multiply 4 x 4 (ft) to find out the real length. This means the length is 16 feet.

Do the same steps with the width. The real length is 12 feet.

Hope it helps!

Step-by-step explanation:

For every pound a company spends on advertising, it spends £0.26 on its website. Express the amount spent on advertising to the amount spent on its website as a ratio in its simplest form.

Answers

Answer:

Can you convert pounds to dollars?

Step-by-step explanation:

what is the absoulute value
pls help
thanks so much ​

Answers

4. -5
5. -3
7. 17
8. 5
9. -101
10. 0
11. 16

Everything else you did is correct
Hope this helps ya

Solve for x.
(3x - 1)
71
Equation=
x=

Answers

Answer:

3x - 1 = 71

3x = 72

x = 24

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplifying

3x + -1 = 71

Reorder the terms:

-1 + 3x = 71

Solving

-1 + 3x = 71

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.

-1 + 1 + 3x = 71 + 1

Combine like terms: -1 + 1 = 0

0 + 3x = 71 + 1

3x = 71 + 1

Combine like terms: 71 + 1 = 72

3x = 72

Divide each side by '3'.

x = 24

Simplifying

x = 24

An expression is shown below. Which expression is equivalent to the expression shown?
- 2x(x + y - 3) + 3(-x + 4y) + y(3x + 5y - 3)
- 2x2(5y2 + xy + 3x + 9y
- 2x2 + 5y2 + xy - 6x +9y
- 5x2 + 5y2 + xy + 3x + 9y
- 5x2 + 5y2 + xy - 6x + 9y

Answers

Note: In option A, it should be "+" instead of "(".

Given:

The expression is

[tex]-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)[/tex]

To find:

The equivalent expression.

Solution:

We have,

[tex]-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)[/tex]

Using distributive property, we get

[tex]=-2x(x)-2x(y)-2x(-3)+3(-x)+3(4y)+y(3x)+y(5y)+y(-3)[/tex]

[tex]=-2x^2-2xy+6x-3x+12y+3xy+5y^2-3y[/tex]

On combining like terms, we get

[tex]=-2x^2+5y^2+(-2xy+3xy)+(6x-3x)+(12y-3y)[/tex]

[tex]=-2x^2+5y^2+xy+3x+9y[/tex]

The expression [tex]-2x^2+5y^2+xy+3x+9y[/tex] is equivalent to the given expression.

Therefore, the correct option is A.

what is x if :-1/3x-9=2

Answers

Answer:

x = -33

Step-by-step explanation:

-1/3 x - 9 = 2 add nine to both sides

-1/3 x = 11 multiply both sides by -3

x = -33

Hope that helps

A shoe distributor sells a particular pair of shoes to a store for $42.80. The store then sells this pair of shoes to a customer at a 35% markup. How much money does the store make from selling one pair of shoes to a customer?

Answers

Answer:

$14.98

Step-by-step explanation:

The store bought the pair of shoes for $42.80.

If the store sells the pair of shoes at a 35% markup, then it is selling it at:

([tex]\frac{35}{100}[/tex] × 42.80 ) + 42.80 = 14.98 + 42.80 = $ 57.78

To calculate how much money the store is making from selling this pair of shoes:

57.78 - 42.80 = $14.98

The store would be making $14.98 for selling one pair of shoes to a customer.

Factor out the greatest common
factor: -16x? + 12x?

Answers

Answer:

4x is the greatest common factor of those two.

Step-by-step explanation:

(-16x + 12x)

4x (-4 + 3)

4x is the GCF

Why you may ask is 4x the GCF because when you divide 4x from both you're left with -4 + 3...... you can't take out the negative from the 16 because when you check your work negative 4x times 3 gives you negative 12x which isn't the equation you started with. So positive 4x times 3 give you 12x.

Hopes this helps!!!

Five less than the product of -3 and a number is -2.

Answers

Answer:

The equation is -3n-5=-2. The answer is -1.

An investment of £200 increases by 4% each year for 3 years

Calculate the value of the investment at the end of the period.


(Will give brainliest and 10 points)

Answers

Answer:

£224

Step-by-step explanation:

Given data

P= £200

R=4%

T=3 years

Simple interest

A= P(1+rt)

Substiute

A= 200(1+0.04*3)

A=200(1+0.12)

A=200*1.12

A=£224

Hence the investment at the end of the period is £224

Easy Cooking is a cooking supply company. Last year, the company sold a total of 5,340 ovens. This year, they sold 7,743 ovens. What is the percent of increase in the annual sales of ovens?

Answers

Answer:

45%

Step-by-step explanation:

Given data

Last year, the company sold a total of 5,340 ovens

This year, they sold 7,743 ovens

Percent increase=   final-initial/initial*100

substitute

Percent increase=  7,743-5,340/5,340*100

Percent increase= 2403/5,340*100

Percent increase=0.45*100

Percent increase=45%

Hence the increase is 45%

- Josh and Gerald are having a throwing contest. Josh's first throw landed 20 feet away from the throwing line. They also measured that the
highest point of the throw occurred when the ball was 10 feet away from Josh and 30 feet in the air. Which equation models the path of Josh's
throw?

Answers

Answer:

y = -3x^2/10 + 6x

Step-by-step explanation:

Which answer choice gives three lengths that WILL form a triangle when put
together?

5,7,13

12, 18, 35

107,8,9

4.5.10

Answers

Answer:

none of them

Step-by-step explanation:

in order for them to be triangle lengths the two shorter size added together have to be greater than the longest side and in each answer choice if you add the two shorter sides none of them are greater than the longer side if that makes sense

Answer: what you need to find is the one where the two lowest numbers add up to be bigger than the biggest number. For example, if it was 3,7,5 then those could be right because 5+3=8 and 8 is bigger than 7. It is supposed to be that any two added is bigger than the third, but it's mist important that the smaller numbers equal more than the third

Step-by-step explanation:

Which of the following is a true statement?
A. All squares are rectangles.
B. All rectangles are squares.
C. All rhombuses are squares.

Answers

A should be correct

The cost of a taxi journey is
£4 plus £3 per mile.
What is the cost of a journey of 7 miles?
A £7
B £21
C £25
D £31

Answers

Answer:

its C

Step-by-step explanation:

it's because 3x7 is 21 add 4 to that its 25 and that's your answer

giving out brainliest!!

Answers

Answer:

A.

Step-by-step explanation:

A stick 1 meter long casts a shadow 0.5 meters long. A building casts a shadow 16 meters long. How tall is the building?

Answers

Answer:

I think 8

Step-by-step explanation:

i think 8 because if you have 1 meter with .5 a meter shadow then i would think 16 meters would cast half of itself which would be 8

sorry if im totally wrong

please answer will give brainliest

Answers

Answer:

2 Gallons

Step-by-step explanation:

20.5ft x 16.4ft = 336.2

336.2 divided by 200= 168 gallons

Since you can not buy 1.68 gallons you will have to buy 2 galllons instead.

PLZ HELP ME THIS IS 7TH GRADE MATH I NEED HELP ASAP

Answers

Step-by-step explanation:

To get the circumference of a circle: 2[tex]\pi[/tex]×radius

Your circle has a given diameter of 3 feet.

To get the radius: 3 ÷ 2 = 1.5

To get circumference of this circle: 2 × [tex]\pi[/tex] × 1.5 = 9.424777961......

Answer:

Approximately 9.424 feet

Answer:

i am in 7th grade as well the answer is 9.42 rounded to the nearset of a tenth would be 9.4

Step-by-step explanation:

first find the radius by doing diameter ÷2

3÷2=1.5

1.5xπ

Solve the system of equations by graphing. Check your solution. y=-3x+7 3x+y=4

Answers

Answer:

Step-by-step explanation:

Answer:

there are no solutions

Step-by-step explanation:

In y=-3x+7, -3 is the slope, and 7 is the y-intercept.  In 3x+y=4, this equation also equals -3x+4=y. So, -3 is the slope, and 4 is the y-intercept. Once you graph the equations(as seen in the picture below) you should find where the lines intersect. Although, the lines are parallel since the slopes are the same.

An angle measures 172° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Step-by-step explanation:

x+ 172= 180-x

x+ 172= 180-x2x= 8

x+ 172= 180-x2x= 8x= 4°

180-4= 176

the angle is 4° and the measure of the other angle is 176°

Answer:

8

Step-by-step explanation:

16 skiers on 4 boats

Answers

Okay ummm nice.
Plz mark Brainliest lolz
It will be 4 because 16 ÷4=4
Hope this helps
May I have brainliest is okay if no! :)

please explain i really don’t understand

Answers

Answer:

22.5°

Step-by-step explanation:

First we need to figure out the size of the interior angles on the inside.

The formula of figuring out the total degrees of all the interior angles of any shape is (n-2)×180°.

N is the number of sides.

If we substitute our number of sides (8) we get this:

(8-2)×180°

6×180° = 1080°

Then we divide 1080 by 8 since this is a regular octagon (all angles are equal in a regular shape).

1080° ÷ 8 = 135°

Focusing on the triangle now, we now know that the angle on the tip of the triangle is 135° as it has not been split by the line.

Using the rule of angles in a triangle add up to 180°. We do this sum:

180° - 135° = 45°

There are 2 angles left in the triangle so we do:

45° ÷ 2 = 22.5°

Therefore the angle of x is 22.5°.

How do I solve these two complex fraction problems?

Answers

Try the app Photomath!:)
maybe try the app slader that will help u for sure x

3.
Use the Pythagorean Theorem or knowledge on special right triangles to
find the missing variable in the following triangles.
Part A:
Part B:
45°
9
30v2
45°
30V2
b

Answers

Answer:

Part A: [tex]l = 60[/tex], Part B: [tex]b = \frac{9\sqrt{2}}{2}[/tex]

Step-by-step explanation:

The Pythagorean Theorem determines the length of the hypotenuse of right triangle ([tex]r[/tex]) by means of following formula:

[tex]r^{2} = x^{2}+y^{2}[/tex] (1)

Where [tex]x[/tex], [tex]y[/tex] are respective lengths of each leg.

Now we proceed to solve on each triangle:

Part A: ([tex]r = l[/tex], [tex]x = y = 30\sqrt{2}[/tex])

[tex]l^{2} = (30\sqrt{2})^{2}+(30\sqrt{2})^{2}[/tex]

[tex]l^{2} = 3600[/tex]

[tex]l = 60[/tex]

Part B: ([tex]r = 9[/tex], [tex]x = b[/tex], [tex]y = \frac{9\sqrt{2}}{2}[/tex])

[tex]9^{2} = b^{2}+\left(\frac{9\sqrt{2}}{2} \right)^{2}[/tex]

[tex]81 = b^{2}+\frac{81}{2}[/tex]

[tex]b^{2} = \frac{81}{2}[/tex]

[tex]b = \frac{9\sqrt{2}}{2}[/tex]

Can anyone help me with this please.
I’ll mark you as a brainliest.

Answers

Answer:

x = 21

Step-by-step explanation:

5x + 18 = 7x - 24

=> 5x - 7x = - 24 - 18

=> -2x = - 42

=> x = -42 / -2

=> x = 21

Hope it helps :)

Please mark my answer as the brainliest

EXPERTS PLEASE HELP!!!!!!!!!!!!!!

Answers

Answer:

1. D

2. x=65

Step-by-step explanation:

Hi!

Your answer is D because 78 is 120% of x

120% in decimal point is 1.2.

So it's 1.2x is the same as 120% of x

For question 8:

1.2x=78

Isolate x by divide 1.2 on both sides

78/1.2=65

What is the measure of angle QZP

Answers

Answer:

22 degrees

Step-by-step explanation:

so if we take this here we know for sure that DZP is equal to 90 degrees

so DZP is split by QZD and QZP

so we take the 90 degrees we know for sure and then we take the two angle measurements we know

and we make this equation

9x + 5 + 3x + 1 = 90

and then we simplify this and it leaves us with

12x + 6 = 90

12x = 84

x = 7

so now that we have what x equals we plug that into QZP in order to find the actual measurement of this angle

3x + 1

3 (7) + 1

21 + 1

leaving us with our answer 22 degrees

and if you want to double check this answer just do the same thing we just did with QZD and plug in x into the equation and then add our answer 22 and the other answer you get for QZD and if that adds up to 90 then that is correct!

hope this helps!

0
-3 < n < 1
n is an integer.
Write down the possible values of n.

Answers

Answer:

-2,-1,0

Step-by-step explanation:

the integers between -3 and 1, not including -3 and 1 are

-2,-1,0

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