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

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

Answers

Answer 1

Answer:

Options (A) and (D)

Step-by-step explanation:

We can write the given division as,

[tex]\frac{2x^2+6x-8}{x+5}=2x-4+\frac{12}{x+5}[/tex]

Option (A)

When (2x² + 6x - 8) is divided (x + 5), the remainder is 12.

True.

Option (B)

When (2x² + 6x - 8) is divided (x - 5), the remainder is 12.

False.

Option (C)

When x = 5,

2x² + 6x - 8 = 12

2(5)² + 6(5) - 8 = 50 + 30 - 8

                        = 72

False.

Option (D)

When x = -5,

2(-5)² + 6(-5) - 8 = 50 - 30 - 8

                          = 12

True.

Option (E)

(x - 5) is a factor of 2x² + 6x - 8

If (x - 5) is a factor value of 2x² + 6x - 8 should be zero.

False.

Option (F)

(x + 5) is a factor of 2x² + 6x - 8

If (x + 5) is a factor then by substituting x = -5 in the expression value should be zero.

But the value is 12.

False.


Related Questions

help im being timed what is the perimeter of this triangle?!

Answers

Answer:

AB + BC + CA

Step-by-step explanation:

12b-8 + 12b- 8 + 9b+8

33b - 8

To find the PERIMETER of a triangle, add the length of its sides.EXAMPLE ⇒ If a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c. NOTE: The P stands for PERIMETERHope this helpsGod bless

Which situation could NOT represent a proportional relationship?

A: The number of gallons of water in x barrel with 42 gallons of water in each barrel

B: The amount an employee who makes $8.50 per hour in h hours

C: The weight in x weeks of a puppy that gains 2 pounds per week if it's starting weight is 8 pounds

D: The cost of purchasing p pounds of bananas for $0.55 per pound​

Answers

Answer:

the answer is B

Step-by-step explanation:

pay attention to the word NOT

Tom has $5.05 in quarters and dimes. How many coins are quarters if the total
number of coins is 28? Try creating a system of equations and solving this by either
substitution or elimination.
quarters

Help due by 8 am tm

Answers

Answer: The answer would be 7.03

Step-by-step explanation: cause you gotta get the 28 in there i hope im right

Answer:

15 quarters

Step-by-step explanation:

Assuming q = quarters and d = dimes...

First, set up the equations. q + d = 28 since we have 28 coins, and the latter is because a quarter is worth $0.25 and a dime is worth $0.1 - totaling $5.05.

q + d = 28

.25q + .10d = 5.05

Try to get one of the variables equal to the equation above. In this case, I tried to get the "q" variables equal to each other.

q + d = 28

4(.25q + .10d) = 4(5.05)

After this, you "subtract" the two equations from each other. Remember that d = 1d, and 1 - .4 = .6

q + d = 28

q + .4d = 20.20

Divide both sides by .6 to get d by itself.

.6d = 7.8

There are 13 dimes.

d = 13

Subtract 13 from the total coins (28) to get the amount of quarters.

28 - 13 = 15

13 dimes, 15 quarters. Hope this helped!

Yoona gives guitar lessons for 70$ per session. She gives a 10% discount to students who come to her studio for her lessons.
How much does one of yoonas guitar lessons cost after the discount?

Answers

Answer:

$63

Step-by-step explanation:

70 x 10% = 7

70 - 7 = 63

Answer:

63

Step-by-step explanation:

A plant’s growth rate is observed and recorded for a science experiment. The observer notes that on week 2, the plant is 4 inches high. On week 5, the plant is 13 inches high.
Part A: Write an equation in point-slope form that could model the relationship between the week, x, and the height of the plant, y.

Answers

Answer:

y - 13 = 3(x - 5)

Step-by-step explanation:

x represents week and y represents inches. Week 2 and week 5 = 2 to 5 = three number difference. The inches which is 4 and 13 have a 9 inched difference. So like I said week represents x and y represent inches so now u have to find the slope, which would be y/x so replace it with the numbers we got so it would now be 9/3. The simplified version would be 3. So the slope is 3.

Point-slope equation: y-y^1=m(x-x^1), y^1 and x^1 are just some random points on the graph, but since we don't have a graph we can use either week 2 and 4 inches or week 5 and 13 inches because if this were a graph, those would be existing points on the graph. And m is the slope so just replace m with 3. We'll use 5 and 13 so: y - 13 = 3(x - 5)

side note: kinda took a long time sorry haha, I had to refresh my knowledge on point-slope equations since it's been a long time since i learned it.

I need the answer please!!!!!!!



Solve: -2(x+4)-1=3(x-2)+4

Answers

Answer: x= -7/5 procedure: -2x-8-1=3x-6+4       -2x-9=3x-2   -2x-3x= -2+9    -5x= 7   answer: x= -7/5

Laura checked her outdoor thermometer and noticed that the temperature rose from 31 degrees in the morning to 45 degrees in the afternoon. What is the approximate percent increase for the day so far?

A. The percent increase is approximately 31%.

B. The percent increase is approximately 45%.

C. The percent increase is approximately 68%.

D. The percent increase is approximately 82%.

Answers

Answer:

C

Step-by-step explanation:

If you  find the difference between 45 and 31, you find the increase. Take that and make it a percentage of 68. I hope this helped! Have a great day.

PLEASE HELP!!I GIVE BRAINLIEST

Answers

Answer:

Im pretty sure the first two are no..that's it

Answer:

A: No

B: Yes

C: Yes

D: No

Step-by-step explanation:

PLZ ANSWER FIRST GETS BRAINLIEST + 20 POINTS

Answers

Answer:

x= -2, y = 5

Step-by-step explanation:

y = -4x-3

y = -2x+1

Set the two equations equal to each other

-4x-3 = -2x+1

Add 4x to each side

-4x-3 +4x = -2x+1+4x

-3 = 2x+1

Subtract 1 from each side

-3-1 = 2x+1-1

-4 =2x

Divide by 2

-4/2 = 2x/2

-2 =x

Now find y

y = -4x-3

y = -4(-2) -3

y = 8 -3

y =5

Write a quadratic equation in standard form with the given roots. Show your work to find the equation. -6, 5/2

Answers

Answer:

x^2 + 7/2 + 15 is the answer.

Step-by-step explanation:

Make the number that is equal to x be on the side of the x, then multiply those to values.

x = -6

x= 5/2

(x + 6)*(x - 5/2)

Now, distribute the x to the x and the negative 5/2, and add that to 6 distributed to x and negative 5/2. Simplify.

[tex]x^{2} + -\frac{5}{2}x + 6x + 15\\\\x^{2} + \frac{7}{2} + 15[/tex]

#teamtrees #WAP (Water And Plant)

1. Ginger has 31 drinking straws. If each
straw is 7.875 inches long, how long are
the straws altogether?

Answers

31 x 7.875 = 244.125

244.125 inches altogether

On a rainy day the amount of rain
in a rain gauge increases by 2
inches over a 24-hour period. How
much will the amount of rain in the
gauge increase by over an 8 day
period?
------------------------------------------------
During a 12-hour period, the
temperature dropped 48°. How
many degrees did the temperature
drop each hour?

Answers

Answer:

Part 1) [tex]16[/tex] inches of rain

Part 2) [tex]4^{\circ}[/tex] per hour

Step-by-step explanation:

Rainy day scenario:

From the information given, the rain in the rain gauge increases by 2 inches per day (24 hours = 1 day). The increase of rain over an 8 day period will be [tex]2\times8=16[/tex] inches of rain.  

Temperature scenario:

From the information given, the temperature drops [tex]48^{\circ} /12hours[/tex]. To find how many degrees the temperature dropped per hour:

[tex]48^{\circ}\div12/12hours\div12 = 4^{\circ}/1hour[/tex]

∴ The temperature drops [tex]4^{\circ}[/tex] per hour.

Hope this helps :)

1526738382929938374666667

I please need help finding the value of x.

Answers

Answer: 30 degrees

Step-by-step explanation: A triangle has 180 degrees.

70 plus 80 equals 150 degrees.

180 minus 150 equals 30.

Answer:

x = 6 , 50°

Step-by-step explanation:

(8x + 2)° + 70° + 60° = 180°

8x + 2 + 130 = 180

8x = 180 - 132

8x = 48

x = 6

Measure of missing angle 8(6) + 2 = 50°

Every term is

a constant

a variable

an expression​

Answers

An expression nahehshddsjshshs
A variable since the coefficients wouldn’t match with others.

The Sony 55 inch flat screen TV was 45% off at Best Buy. If the TV originally cost $1350.00, how much
was the discount?

Answers

Answer: 742.5

Step-by-step explanation: 45% off of 1350= 742.5

Answer:

$607.50

Step-by-step explanation:

if you take 1350.00and multiply by 45% you will get $607.50

Kelly solved an equation: H/ 4 - 11 = 13 using two inverse operations of adding 11 to both sides of the equations, and then dividing both sides by 4. Her answer is H = 6. What is her error?

Answers

Answer:

She should have multiplied by 4, not divided

Step-by-step explanation:

Given

[tex]\frac{H}{4}[/tex] - 11 = 13 ( add 11 to both sides ) ← correct

[tex]\frac{H}{4}[/tex] = 24 ( multiply both sides by 4 to clear the fraction )

H = 4 × 24 = 96

H is divided by 4, thus the inverse operation is to multiply

Please help!!!!!!!!!​

Answers

Answer:

8/125

Step-by-step explanation:

Please help need answer now!!

Answers

Answer: 5/2

Step-by-step explanation:

Using slope formula m = rise/run

Which chemical equation best represents the process of photosynthesis? BRAINLIEST IF YOU ANSWER THIS CORRECT!!!!

Answers

Answer:

Light + carbon dioxide → glucose + oxygen.

Step-by-step explanation:

A is the right one.

...

.

Starting from home john rides his bike to school and then to the library. How far, in kilometers does John ride his bike? home (1 -3) school (-1, 2) library (3, 2)

Answers

Answer:

9.385 km

Step-by-step explanation:

Given the points :

home (1 -3) school (-1, 2) library (3, 2)

Distance between Home and school :

Distance = √(x2 - x1)² + (y2 - y1)²

Home = (1, - 3) ; School = (-1, 2)

x1 = 1 ; y1 = - 3 ; x2 = - 1 ; y2 = 2

Distance = √(-1 - 1)² + (2 - (-3))²

Distance = √-2² + 5²

Distance = √4 + 25

= 5.385 km

From school to library :

School = (-1, 2) ; library (3, 2)

x1 = - 1 ; y1 = 2 ; x2 = 3 ; y2 = 2

Distance = √(x2 - x1)² + (y2 - y1)²

Distance = √(3 - (-1))² + (2 - 2)²

Distance = √4² + 0²

Distance = √16 + 0

Distance = √16

Distance = 4 km

Total distance in kilometers from home to library :

(5.385 + 4) km = 9.385km

A rain gauge had 0.6 centimeter of rain after 2 hours, 0.9 centimeter after 3 hours, 1.2 centimeters after 4 hours, and 1.5 centimeters after 5 hours. At what rate (cm per hour) did it rain?

Answers

Answer: 0.3 cm per hour

Step-by-step explanation:

got it off of quizizzes

What is the value of x?

Answers

Answer:

x = 5[tex]\sqrt{7}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 9² = 16²

x² + 81 = 256 ( subtract 81 from both sides )

x² = 175 ( take the square root of both sides )

x = [tex]\sqrt{175}[/tex] = 5[tex]\sqrt{7}[/tex] ≈ 13.23 units ( to 2 dec. places )

Answer:

x = 5√7

Step-by-step explanation:

By pythagoras theorem,

(hypotenuse)² = (altitude)² + (base)²

(hyp)² - (base)² = (alt)²

(16)² - (9)² = x²

256 - 81 = x²

x² = 175

x = √175

x = 5√7

hope this helps you!

(HELP ME PLEASE) In a triangle that two of its sides are worth 8 cm and 10 cm, the possible values ​​of the third side are:

Answers

Answer:

I'm not sure....

10-8 = 2

lowest point

10+8 = 18

highest point

so the possible values of the third side are:-

3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17

I'm not sure this is what you are looking for but this is my answer....

i hope this helps...

have a great day ahead :)

I need helppppppppp!!!!

Answers

I drew on the coordinates to help you visualize! :) When moving to the left the Y value stays the same however, the X would decrease by 5.

One spring, a group of students measured rainfall totals at their school. chart shows how many inches of rain the students measured each month. How many more inchés did it rain in May than in April? MONTH RAINFALL March April May 1.7 2.6 3.8

Answers

Answer:

1.2

Step-by-step explanation:

apex leaning and I don't know why they want me to write 20 characters long or something like that before posting this‍

A public swimming pool that holds 45,000 gallons of water is going to be drained for maintenance at a rate of 100 gallons per minute. The amount of water w (in gallons) in the pool after t minutes is given by the function w = 45,000 - 100t. Graph the function. Identify its domain and range. How much water is in the pool after 60 minutes? How many minutes will it take to empty the pool?

Answers

Answer: for the first question, after an hour there would be 39,000 gallons left and it would take 450 minutes to drain the pool

Step-by-step explanation:

You multiple the minutes with the rate or which the gallons are being drained and subtract it by the total amount,

Ps can I get the brainliest answer

We want to get the domain and range, graph, and analyze the given function.

We have the function:

w(t) = 45,000 - 100*t.

First, we want to get the domain and range of the function.

The domain is defined as the possible values of the input, in this case, is the time.

The smallest value of the time is t = 0, and the largest is the value of t such that the pool is empty, so we need to solve:

w(t) = 0 = 45,000 - 100*t

t = 45,000/100 = 450

Then the domain is D = [0, 450]

The range is the set of the possible outputs, the output represents the amount of water in the pool, it goes from full to empty, so the range is:

R = [0, 45,000]

The graph of the function can be seen below.

How much water is in the pool after 60 minutes?

Just replace t by 60 in the equation.

w(60) = 45,000 - 100*60 = 39,000

This is 39,000 gallons of water.

How many minutes will it take to empty the pool?

We already found that it takes 450 minutes.

If you want to learn more, you can read:

https://brainly.com/question/2263981

What graph represents the equation y = -1/2x + 1?

Answers

Answer:

The answer to your question is A.

Step-by-step explanation:

logbase2 ²/log base 2 ⁴​

Answers

Answer:

Please use LaTeX I Assure you it is great

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

[tex]\frac{log 2^{2} }{log 2^{4} } =\frac{2 log ~2}{4 log~2} =\frac{2}{4} =\frac{1}{2}[/tex]

Solve for x and then find the measure of angle, A.

Answers

Answer:

x = 8

The measure of angle A = 30°

Step-by-step explanation:

angle A and B are supplementary and their sum is 180°

6x - 18 + 14x + 38 = 180° add like terms

20x + 20 = 180

20x = 180 - 20

20x = 160 divide both sides by 20

x = 8 and the measure of angle A

6x - 18 ➡ 6 × 8 - 18 = 30°

Plz help it’s due tonight!!!!

Answers

Answer:

Sorry I can’t read it wish I could help man have a good day and be safe, wear a mask in public, sanit- jk! Just be kind to others and be safe love ya!

Step-by-step explanation:

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