Determine is (x-3) is a factor of
x^3 - 5x^2 - 4x + 6 using the remainder
theorem:

Answers

Answer 1

Answer:

(x - 3) is not a factor

Step-by-step explanation:

If (x - h) is a factor of f(x) then f(h) = 0

here

f(x) = x³ - 5x² - 4x + 6 , then

f(3) = 3³ - 5(3)² - 4(3) + 6 = 27 - 5(9) - 12 + 6 = 27 - 45 - 6 = - 24

since f(x) ≠ 0 then (x - 3) is not a factor of f(x)


Related Questions

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

A

Step-by-step explanation:

Converting an improper fraction to a mixed number involves dividing the numerator by the denominator.

17/5 = 3 with remainder of 2

so it will be 3 -2/5

Identify a value of k that transforms f into g, where g(x) = f(x) + k.

Answers

Answer:

The transformation that maps f into g is a translation transformation,

involving the addition of k to the value of f(x).

The value of k that transforms f into g is; k = -5

Reasons:

Points on the graph of g(x) are; (0, -3) and (0, 1)

The equation of g(x) is; y - (-3) = 4·x, which gives;

y = 4·x - 3

The y-intercept = -3

Points on the graph of f(x) are; (-1 -2) and (0, 2)

The equation of f(x) is; y - (-2) = 4·(x - (-1)), which gives;

y = 4·x + 4 - 2 = 4·x + 2

The y-intercept = 2

The slopes of the graphs of f(x) and g(x) are equal, therefore, f(x) ║ g(x)

The difference or the transformation that takes the y-intercept of f(x) to the

y-intercept of g(x) is; k = y-intercept(g(x)) - y-intercept(f(x)) = -3 - 2 = -5

Therefore, k = -5

Which gives;

g(x) = f(x) - 5

The value of k that transforms f into g is; k = -5

Learn more here:

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A movie theater offers a reward program that charges a yearly membership fee and a discounted rate per movie ticket. The total cost for a reward program member to see 5 movies is $40 and the total cost for 12 movies is $75. Assume the relationship is linear. Write the equation of the function in the form y=mx+b , where x represents the number of movies and y represents the total cost.

Hint: Treat this information like ordered pairs. (5, 40) and (12, 75)

Answers

Answer:

[tex]y=5x+15[/tex]

Step-by-step explanation:

Since this situation is a linear relationship between the number of movies and the total cost, we need to determine the slope of the line given our two ordered pairs [tex](x_1,y_1)\rightarrow(5,40)[/tex] and [tex](x_2,y_2)\rightarrow(12,75)[/tex]:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{75-40}{12-5}\\ \\m=\frac{35}{7}\\ \\m=5[/tex]

Thus, our equation so far is [tex]y=5x+b[/tex]. Next, we need to find our y-intercept, [tex]b[/tex], which represents our flat fee. We do so by using one of our original given ordered pairs:

[tex]y=5x+b\\\\40=5(5)+b\\\\40=25+b\\\\15=b[/tex]

Therefore, our final equation for the function is [tex]y=5x+15[/tex]


What is the initial value of the exponential function
shown on the graph?
0
1
2
4

Answers

Answer:

Option C is correctThe initial value of the exponential function shown on the graph is, 2Step-by-step explanation:A function is a mathematical relation in which we input values of a domain that generate output values of a range. Initial value of a function is the output value of the function  when the input value is 0.As shown in the graph: the exponential function cut through the point (0,2)  , where y=2  when x=0.therefore, the initial value of the given exponential function shown on the graph is, 2.

Step-by-step explanation:

Pls, choose me as brainliest!

Answer:

c

Step-by-step explanation: because I know trust me ;)

what is the value of X

Answers

x=44 ft. The line down the middle of the triangle is an angle bisector, and it splits the like on top in half.

Helppp pleaseeeeeeeee

Answers

Answer:

Step-by-step explanation:

I wish I could help you but I’m only in elementary

Answer:

Surface Area = [tex]530yd^2[/tex]

Step-by-step explanation:

*This answer is for the problem on the left that seems unanswered*

Firstly, you must understand that the surface area of an irregular polygon like the one in the problem must be found by dividing its faces into rectangles and finding the sum of the areas of those rectangles.

Another way to say this is that the surface areas of these solids can be found by adding up the areas of the rectangles that make their faces.

You will see that I attached a picture that divides the solid's faces into subsections, labelled a through i, including faces that are not visible in the diagram.

If you divided the solid's faces in the same way as the picture, the surface area is found as follows:

[tex]Area_A=12*7=84yd^2\\Area_B=12*4=48yd^2\\Area_C=12*4=48yd^2\\Area_D=4*4=16yd^2\\Area_E=11*3=33yd^2\\Area_F=12*3=36yd^2\\Area_G(notVisible)=12*11=132yd^2\\Area_H(notVisible)=12*7=84yd^2\\Area_I(notVisible)=Area_E+Area_D=33+16=49yd^2[/tex]

By the way, [tex]yd^{2}[/tex] is the same as "square yards".

After finding the areas of each rectangle, add them all up to get your final answer:

[tex]SurfaceArea=530yd^2[/tex]

HELP, URGENT!!!!!!!!!!!

Answers

Question: Quadrilateral GABE is a square. Assume that point A is the centre of the circle. If the circumference (perimeter of a circle) is 201 ft., find AE.

Solution:

πd = C

πd = 201

3.14(d) = 201

diameter  = 64.01

radius is half of the diameter.

radius = 64.01/2

radius = 32

GA = 32

As its sqaure, all sides are equal

GA  = AB = GE = EB = 32

using Pythagoras theorem:

32² + 32² = AE²

AE = √2048.8

AE = 45.3 ft

Answer:

Step-by-step explanation:

C = πd = 2πr

201 = 2*3.14*AB

AB = 201 / (2*3.14) = 32

AE is the diagonal of square ABEG

Using Pythagoras theorem,

AE^2 = AB^2 + BE^2 = 2*AB^2

AE^2 = 2*32^2

AE = sqrt(2*32^2)

= 45.255

= 45.3 ft

Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV.

What will be the location of T' in the image trapezoid S'T'U'V'? (1 point)


(18, −2)

(18, 2)

(15, −2)

(15, 2)

Answers

Answer: (18,2)

Step-by-step explanation:

Pencils: $3 Sale: 50% off What is the new cost of the pencils?

Answers

Answer:

$1.50

Step-by-step explanation:

50% is one half. and one half of $3 is $1.50.

please give brainliest!!

Answer : $1.50
Explanation : find 50% of $3 . That’s 1.50 , take that away from $3.00 and you get 1.50 .
Or a easier way , since it’s 50% which means half , divide $3 by 2 . :)

Identify the type of the pairs of angles.
∠3 and ∠5
∠1 and ∠8
∠2 and ∠6
∠1 and ∠4
∠4 and ∠5

Answers

Answer:

I will need a photo to answer this

Step-by-step explanation:

Kindly, please upload a photo, TQ!

Find the area of the following shapes

Answers

Answer:

Area = 114 m2

Step-by-step explanation:

Area of the Figure = Area of Rectangle ABCD - Area of Rectangle HGFE

Area of the Figure = 12*14 - 9*6 = 168 - 54 = 114

The figure below is an isosceles trapezoid. If m∠K=73, find the missing angle​

Answers

Answer:

L 107°

...

...

...

.

............

Cody used more than 5 times as many beads as his sister to make jewelry. His sister used 40 beads.
Which inequality represents all possible values of c, the number of beads Cody used to make jewelry?
A c < 200
B c > 45
C c < 45
D c > 200

Answers

Answer:

d is the answer to the question

Simplify the rational

Answers

Answer:

x+8 / x-4

Step-by-step explanation:

Factor the top and bottom (numerator and denominator).

Simplify (cancel what's the same on top and bottom)

See image.

What is Cos(180) ? I started this in precal and need help with it still

Answers

Answer:

The value of cos 180 is equal to -1

byjuscom

what is the square root of 18.3

Answers

Answer:

The square root of 18.3 would be: 4.27784992724

Step-by-step explanation:

A money jar contains only quarters and dimes. The ratio of quarters to dimes in a money jar is 2:7. How many dimes are in the money jar if there are 63 total coins?
A 14
B 18
C 49
D 54​

Answers

B. 18 is the answer to you’re problem

HELPPPPPPPPPPPP!!!!!!

Answers

Answer:

a

Step-by-step explanation:

x+y=7

y=-x+7

A circular running track is 1/4 mile long. Elena runs on this track, completing each lap in 1/40 of an hour. What is Elena's running speed? Include the unit of measure.

Answers

Answer:

5 miles/ hour please mark brainlist dont have to tho lol

Step-by-step explanation:

please help! i will give brainliest!

Answers

Answer:

10.=138,037.5311

Step-by-step explanation:

the first year=26000

2nd year_100%=26000

103%=?

=26780

3rd=27583.4

4th=28410.902

5th=29263.22906

total=138,037.5311

the price of a coffee increases to £3.37 by 7%. how much was it for a coffee before the increase?

Answers

Answer:

£3.15 (nearest pence)

Step-by-step explanation:

If the price of a coffee has increased by 7% then the final price of the coffee is:  100% + 7% = 107% of the original price.

Therefore, to find the original price of the coffee:

  original price ÷ 107 × 100

= 3.37 ÷ 107 × 100

= £3.15 (nearest pence)

A parallel line has a y-intercept of 12.
Write down the equation of this line.

Answers

Answer:

Using the equation form y = MX + b where a is the slope of the line and b is the y-intercept.

The line that is parallel this the line with equation 5x + y = 11 will have the SAME SLOPE as this line BUT the y-intercept will be -8 (as stated in the problem.)

Rewrite 5x + y = 11 to the standard form to yield the slope of that line.

So 5x + y = 11 becomes y = -5x + 11 where the slope is -5.

So the equation of the line that you want is then...y = -5x - 8. It satisfies both conditions.

Hope this helps!Brainliest pls!

Cullen is 5 years younger than Ada. The product of their ages 2 years ago was 39. How old is Ada?

Answers

32. Because it’s easy.

find the value of x I ready

Answers

Answer:

the x is not a value yet  

Step-by-step explanation:

butt the x is called a variable

The average cost in China of an imported Volkswagen is the equivalent of $24,000. How much is that in yuan?

Answers

Answer:

24 x61=74.000

Step-by-step explanation:

if you take it by the first number then you will divide the firsts to the nearest number that applies the first number

The convert rate is $1 = 6.35 yuan.

-> $24000 = 6.35 x 24000 = 152400 yuan (152481.60)

The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 15. 9 minutes. Based on a random sample of 40 orders, a reporter determines a mean order time of 63 minutes. Let µ represent the average number of minutes to fill an order. Z = StartFraction x overbar minus mu Over (StartFraction sigma Over StartRoot n EndRoot EndFraction) EndFraction To the nearest hundredth, the z-statistic is z =.

Answers

By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19

What is standard deviation?

Standard deviation is a number used to tell how measurements for a group are spread out from the average (mean), or expected value

Here given that

The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 15. 9 minutes. Based on a random sample of 40 orders, a reporter determines a mean order time of 63 minutes

mean=μ=60

standard deviation=σ=15.9

number of sample=n=40

[tex]\bar{x}=63 \\[/tex]

Now we can calculate z by z-score formula as

[tex]z=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}} \\\\&=\frac{63-60}{\frac{15 \cdot 9}{40}} \\ \\=\frac{3}{2.5140} \\ \\=1.19\end{aligned}[/tex]

By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19

To learn more about standard deviation visit :https://brainly.com/question/12402189

Answer:

1.19

Step-by-step explanation:

To decrease an amount by 46%, multiply by

Answers

Answer:

Step-by-step explanation:

Multiply the amount by 0.46 and subtract from the amount.

The difference between amount  and 0.46 * amount is the answer.

Two balloons, Balloon A and Balloon B, have a total volume of 3/5 gallon. Balloon A has a greater volume than Balloon B. The difference of their volumes is 1/5 gallon. What is the volume of each balloon?

Answers

Answer:

Balloon A has 2/5 gallons and Balloon B has 1/5.

Step-by-step explanation:

Hope this helps!
If it did, I appreciate you giving me brainiest :)

if not, have a wonderful day!!!

Answer:

not being rude but...

You told us that the volume of both balloons had a volume of 3/5 a gallon now you are saying one of them is has a larger volume than another it just doesn't make sense.

5. Julie has taken 5 tests in science this
semester. On the first three tests, her
mean score was 70%. On the last two
tests, her mean score was 90%. What
is the mean of all five scores?

Answers

Answer:

83.333333333

Step-by-step explanation:

add 70+90+90=250/3= 83.3333333

Barbara used the distributive property to write an expression that is equivalent to 7 d 63. Her work is shown below. The greatest common factor is 7 so 7 d 63 = 7 (d 63) What was Barbara’s error? Barbara wrote (d 63) instead of 63 d). Barbara wrote (d 63) instead of (d 9). Barbara wrote (d 63) instead of (d 56). Barbara wrote (d 63) instead of (10 d).

Answers

The error that Barbara's made is that Barbara wrote (d+63) instead of (d+9).

What is Distributive property?

The distributive property of multiplication is that when two numbers are added such as (a+b) and multiplied by a third number such as x, then the result will be the sum of multiplication of the third number with the first number (xa) and the third number with the second number (xb).

x(a+b) = xa + xb,

The expression which is equal to the expression 7d+63 can be written as,

[tex]7d+63\\\\=7(d+9)[/tex]

Hence, the error that Barbara's made is that Barbara wrote (d+63) instead of (d+9).

Learn more about Distributive property:

https://brainly.com/question/13130806

Answer:

Step-by-step explanation:

wrote (d 63) instead of (d 9). Barbara

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