The rational root theorem is used to determine the possible roots of a function.
The true statement is: (d) Any rational root of f(x) is a factor of 3 divided by a factor of 8.
The function is given as:
[tex]\mathbf{f(x) = 8x^3 - 4x^2 + 6x + 3}[/tex]
The possible roots of a function
[tex]\mathbf{f(x) = qx^n + ax^{n-1} +.....+ p}[/tex]
are
[tex]\mathbf{Roots = \pm\frac{Factors\ of\ p}{Factors\ of\ q}}[/tex]
By comparison: p = 3 and q = 8
So, we have:
[tex]\mathbf{Roots = \pm\frac{Factors\ of\ 3}{Factors\ of\ 8}}[/tex]
Hence, the true option is (d) Any rational root of f(x) is a factor of 3 divided by a factor of 8.
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The graph shows a proportional relationship between the number of cans of tennis balls and the total number of tennis balls.
What does the point (2, 6) represent in this situation?
Tennis Balls graph showing number of tennis balls on the y axis and number of cans on the x axis. A line begins at the origin and passes through the points 1 comma 3 and 2 comma 6.
Answer:
There are 6 tennis balls in 2 cans.
Answer: c and e
Step-by-step explanation:
because im smart like that
Does any one the the answer
Answer:
18 Square Feet
Step-by-step explanation:
ABC is 3 times larger then DEF so you multiply 6 by 3 which gives you 18. Let me know if I'm wrong.
Answer:
18 square feet
Step-by-step explanation:
Because the area of ADEF =6 sq ft
And you have 12ft in A and B
The equation
(p-1)x^2 + 4x + (p-5)=0, where p is a constant,
has no real roots.
(a) Show that p satisfies p^2 - 6p+1>0.
Answer:
Proof is shown below.
Step-by-step explanation:
Use quadratic Formula, where from the standard form ax^2 + bx + c = 0, where a is not zero, we identify a = p-1, b=4, c = p-5, and since the given equation has no real roots, the discriminant b^2 - 4ac < 0, so that substituting we have that,
4^2 - 4(p-1)(p-5) < 0
16 - 4(p^2 - 6p + 5) < 0
16 - 4p^2 +24p - 20 < 0
-4p^2 + 24p - 4 < 0,
p^2 - 6p + 1 > 0, by dividing both sides of the inequality by -4.
please answer the question above
it's (Septagon)
Answer:
128.57
Step-by-step explanation:
each angle is equal and all of them will sum 900 degrees
Answer:
128.6... degrees
Step-by-step explanation:
Because regular shapes have all equal angles, we can do this:
900/7
regular septagons/heptagons have 7 sides
900/7 = 128.571429 or about 128.6
Which statements are true about rational expression multiplication? Check all that apply.
The closure property states that the sum of two rational expressions is an irrational number.
Rational expressions are closed under multiplication.
The commutative property states that changing the order of two or more factors does not change the value of the product.
The associative property states that the way in which two or more factors are grouped in a product changes the value of the product.
The properties of rational expression multiplication are parallel to the properties of rational number multiplication.
9514 1404 393
Answer:
B, C, E
Step-by-step explanation:
(a) <does not refer to multiplication> FALSE
(b) Rational expressions are closed under multiplication.TRUE
(c) The commutative property states that changing the order of two or more factors does not change the value of the product. TRUE
(d) The associative property states that the way in which two or more factors are grouped in a product changes the value of the product. FALSE, the product will be unchanged.
(e) The properties of rational expression multiplication are parallel to the properties of rational number multiplication. TRUE
Answer:
The answer is B, C, E. aka, 2,3,5
Step-by-step explanation:
Here is proof! Hope you pass<33
HELPPPPPPPPPPPPPPPppppppppppppp
The blue area on the graph are all the possible solutions. The chili beans need to be less than 3 and the corn husks need to be less than 7
Answers are: A, B, C and E
Last year 300 people attended a play with ticket price of $8. The school estimates that 20 fewer people attend for each $1 increase in price. What ticket price would give the greatest income?
Answer:
$12
Step-by-step explanation:
If we stuck with the price of $8, then we end with an income of $2400
Increasing it by $1 will decrease attendance by 20
8 x 300 = 2400
9 x 280 = 2520
10 x 260 = 2600
11 x 240 = 2640
12 x 220 = 2640
13 x 200 = 2600
We're starting to go down, so let's stop there
The ticket price of $11 or $12 appears to give the most income
I would stick with $12 since your still getting more money from one ticket
The price of a ticket stick at $12 since you still get more money from one ticket.
What ticket price would give the greatest income?Last year 300 people attended a play with a ticket price of $8.
The school estimates that 20 fewer people attend for each $1 increase in price.
If we keep the price at $8, we'll end up with a $2400 profit.
Increasing it by $1 will result in a 20 percent drop in attendance.
8 × 300 = 2400
9 × 280 = 2520
10 × 260 = 2600
11 × 240 = 2640
12 × 220 = 2640
13 x 200 = 2600
Let's come to a halt here since we're starting to descend.
The $11 or $12 ticket price looks to generate the most revenue.
I'd continue with $12 because you'll still make more money with one ticket.
More about the greatest income link is given below.
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#SPJ2
Please help! I'll give anyone who helps 10 points.
Answer:
the bottom one b and c
Step-by-step explanation:
it goes at a steady rate of 2b=c
how do i solve this step by step? i dont know how to set up this equation
Answer:
23
Step-by-step explanation:
The markings show that the vertical line and the hypotenuse are bisected. That means that the common ratio is 1/2.
(x - 8) / 30 = 1/2 Cross multiply
2(x - 8) = 30 Divide both sides by 2
x - 8 = 30/2
x - 8 = 15 Add 8 to both sides
x-8+8 =15+8
x = 23
write the simplest polynomial function with the given zeros 2 √2, √5 and -3
Answer:
A. P(x) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120Step-by-step explanation:
With the given zero's, the polynomial is:
P(x) = (x - 2√2)(x - √5)(x + 3)Open parenthesis in steps:
1. (x - 2√2)(x - √5) = x² - (2√2 + √5)x + 2√10 = x² - 2x√2 - x√5 + 2√10
2. (x² - 2x√2 - x√5 + 2√10)(x + 3) =
x³ - 2√2x² - √5x² + 2√10x + 3x² - 6√2x - 3√5x + 6√10 =
x³ + 3x² - 2x²√2 - x²√5 - 6x√2 - 3x√5 + 2x√10 + 6√10
This is not matching any options so we add two more zero's: -2√2 and -√5
New polynomial looks like:
P(x) = (x - 2√2) (x + 2√2)( x - √5)(x - √5)(x + 3)Open parenthesis in steps:
1. (x - 2√2) (x + 2√2) = x² - 82. (x - √5) (x + √5) = x² - 53. (x² - 8)(x² - 5) = x⁴ - 8x² - 5x² + 40 = x⁴ - 13x² + 404. (x⁴ - 13x² + 40)(x + 3) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120P(x) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120Angles 4 & 8 are an example of which type of angle? *
O Alternate Exterior
O Alternate Interior
O Corresponding
O Vertical
Answer:
Corresponding
Step-by-step explanation:
They are on the same side which makes them corresponding angles
Round 159,095 to the tenths place
Answer:
159,100
Step-by-step explanation:
#dkdjdjdjdidididi )llllllllllllllll
A polyhedron with 16 edges cannot be a prism. Explain why this must be true
Answer:
This prism has: 5 Faces. 6 Vertices (corner points) 9 Edges.
Step-by-step explanation:
Bryon purchased a box of candy at the store. On his way home he ate 1/4 of the candy from the box. At dinner with friends later that night he served 1/2 of what was left. If there are 6 chocolates left in the box, how many did the box contain to start with?
Answer:
6+6=12
12= 3/4th of the entire box
4=1/4th of the entire box
12+4=16
There was 16 chocolates originally.
Step-by-step explanation:
6 are left , 1/2 was eaten and a 1/4 was eaten. 6 left is equal to a 1/4. if a quater is 6 and their are 4 1/4 in a whole at 6 represent each quarter then 6*4=24
There is 1/2 cupcake left from
Answer:
each boy will get 1/4 of a cupcake
Step-by-step explanation:
1/2 ÷ 2= 1/4
How do you close a revenue account?
A)
Credit Capital; debit Revenue
B)
Debit Capital; credit Revenue
C)
Debit Income Summary; credit Revenue
D)
Credit Income Summary; debit Revenue
Answer:
D)
Credit Income Summary; debit Revenue
Student football game tickets cost $20 Adult tickets cost $30. Write a function that shows
the total cost for s student tickets and a adult tickets.
Answer:
Here are the answers for the whole QC for CA students.
1. C
2. A
3. no
4. c
5. A
Step-by-step explanation:
2) The management company of a popular, but unstable, rapper is worried about their investment
in his up-coming world tour, so they purchase a 1-year $1 million insurance policy for $137,000.
The probability the rapper will successfully complete the 1-year world tour is 0.87352. What is
the expected value of the policy from the perspective of the management company?
Answer:
137,000
Step-by-step explanation:
its math bro
Allowance method entries
The following transactions were completed by Wild Trout Gallery during the current fiscal year ended December 31:
Jan. 19. Reinstated the account of Arlene Gurley, which had been written off in the preceding year as uncollectible. Journalized the receipt of $2,560 cash in full payment of Arlene’s account.
Apr. 3. Wrote off the $14,670 balance owed by Premier GS Co., which is bankrupt.
July 16. Received 25% of the $26,300 balance owed by Hayden Co., a bankrupt business, and wrote off the remainder as uncollectible.
Nov. 23. Reinstated the account of Harry Carr, which had been written off two years earlier as uncollectible. Recorded the receipt of $4,175 cash in full payment.
Dec. 31. Wrote off the following accounts as uncollectible (compound entry): Cavey Co., $11,035 ; Fogle Co., $3,275 ; Lake Furniture, $ 8,420 ; Melinda Shryer, $2,380.
Dec. 31. Based on an analysis of the $1,299,500 of accounts receivable, it was estimated that $56,500 will be uncollectible. Journalized the adjusting entry.
Required:
1. Record the January 1 credit balance of $53,800 in a T account presented below in requirement 2b for Allowance for Doubtful Accounts.
2. a. Journalize the transactions. If an amount box does not require an entry, leave it blank. Note: For the December 31 adjusting entry, assume the $1,299,500 balance in accounts receivable reflects the adjustments made during the year.
2. b. Post each entry that affects the following T accounts and determine the new balances:
3. Determine the expected net realizable value of the accounts receivable as of December 31 (after all of the adjustments and the adjusting entry).
$fill in the blank 73711efa1fe301a_1
2,290,000
4. Assuming that instead of basing the provision for uncollectible accounts on an analysis of receivables, the adjusting entry on December 31 had been based on an estimated expense of ½ of 1% of the sales of $8,020,000 for the year, determine the following:
a. Bad debt expense for the year.
b. Balance in the allowance account after the adjustment of December 31.
c. Expected net realizable value of the accounts receivable as of December 31 (after all of the adjustments and the adjusting entry).
Using the Allowance Method, the relevant transactions can be completed in the books of Wild Trout Gallery as follows:
1. Allowance for Doubtful Accounts
Accounts Debit Credit
Jan. 1 Beginning balance $53,800
Jan. 19 Accounts Receivable 2,560
Apr. 3 Accounts Receivable $14,670
July 16 Accounts Receivable 19,725
Nov. 23 Accounts Receivable 4,175
Dec. 31 Accounts Receivable 25,110
Dec. 31 Ending balance $56,500
Dec. 31 Bad Debts Expenses $55,470
Totals $116,005 $116,005
Accounts Receivable
Accounts Debit Credit
Jan. 1 Beginning balance $2,290,000
Jan. 19 Allowance for Doubtful 2,560
Jan. 19 Cash $2,560
Apr. 3 Allowance for Doubtful 14,670
July 16 Allowance for Doubtful 19,725
July 16 Cash 6,575
Nov. 23 Allowance for Doubtful 4,175
Nov. 23 Cash 4,175
Dec. 31 Allowance for Doubtful 25,110
Dec. 31 Sales Revenue 8,020,000
Dec. 31 Cash $8,944,420
Dec. 31 Ending balance $1,299,500
Totals $10,316,735 $10,316,735
3. Expected net realizable value of the accounts receivable as of December 31 = $1,243,000 ($1,299,500 - $56,500)
Allowance for Doubtful Accounts ending balance = $40,100 ($8,020,000 x 0.5%)
Allowance for Doubtful Accounts
Accounts Debit Credit
Jan. 1 Beginning balance $53,800
Jan. 19 Accounts Receivable 2,560
Apr. 3 Accounts Receivable $14,670
July 16 Accounts Receivable 19,725
Nov. 23 Accounts Receivable 4,175
Dec. 31 Accounts Receivable 25,110
Dec. 31 Ending balance $40,100
Dec. 31 Bad Debts Expenses $39,070
Totals $99,605 $99,605
4. a. Bad Debt Expense for the year = $39,070
4.b. Balance for Allowance Accounts = $40,100
4.c. Expected net realizable value of the accounts receivable = $1,259,400 ($1,299,500 - $40,100)
Data Analysis:
Jan. 19 Accounts Receivable $2,560 Allowance for Uncollectible Accounts $2,560
Jan. 19 Cash $2,560 Accounts Receivable $2,560
Apr. 3 Allowance for Uncollectible Accounts $14,670 Accounts Receivable $14,670
July 16 Cash $6,575 Allowance for Uncollectible Accounts $19,725 Accounts Receivable $26,300
Nov. 23 Accounts Receivable $4,175 Allowance for Uncollectible Accounts $4,175
Nov. 23 Cash $4,175 Accounts Receivable $4,175
Dec. 31 Allowance for Uncollectible Accounts $25,110 Accounts Receivable $25,110
Accounts Receivable ending balance = $1,299,500
Allowance for Uncollectible Accounts ending balance = $56,500
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A jewelry store is having a sale, and all items are 15% off. If a necklace was originally price at $85.00, what is the sale price?
100 Points. Help solve. The sides are X, y, and 8. The reference angle is 60 degrees. Thanks
Step-by-step explanation:
y=8tan60=8√3
x=8/cos60 = 8 × 2 =16
Select the values that are solutions to the inequality x2 + 3x – 4 > 0.
–6
–2
0
5
the answer to this question is -6&5
1. Solve 4x – 5 > 2x + 17.
There’s a line _ under the greater sign
Answer:
X is grater than or equal to 6
Step-by-step explanation:
4x -5 > 2x + 17
+5 > 2x - 5
4x > 2x + 12
--
4
james likes to make sculptures. First he makes a scale and then he blows it up to normal size. The height of the scale model is 3 inches. The scale he is using is 1inch = 3 feet. How tall is the sculpture?
Mercury is one of only two elements that are liquid at room temperature. Mercury is nonliquid for
temperatures less than -38.0°F or greater than 673.8°F. Write a compound inequality for the temperatures
at which mercury is nonliquid.
Answer:
greater than 673.8°F. Write a compound
Step-by-step explanation:
How many centimeters are in a kilometer?
Answer:
100,000
Step-by-step explanation:
Answer:
there are 100000 meters in 1 kilo meter
Step-by-step explanation:
I NEED HELP PLEASE!!!
Passing through (7,-2) and perpendicular to the line whose equation is y=1/2x+2
Point slope form=
Slope-intercept form=
Answer:
yyou slope intrecept is already there
Step-by-step explanation:
2+2=4
Answer:
9x+3y=36
Step-by-step explanation:
boom
can somebody help me with my social studies cause if you do i will give you brainlist
Answer:
sure if it is about something i know
If a polyhedron has 11 faces and 18 edges, how many vertices does it have?
Use Euler's formula for polyhedra: V - E + F = 2
vertices - edges + faces = 2
So edges = vertices + faces - 2 = 18 + 11 - 2 = 27.
Answer:
27 edges.
Please help!!!
I need help finding the answer.
Answer:
2nd option
Step-by-step explanation:
The shaded area = outside area - inner area
= x² - (x - 6)² ← expand using FOIL
= x² - (x² - 12x + 36) ← distribute parenthesis by - 1
= x² - x² + 12x - 36 ← collect like terms
= 12x - 36
