One of the factor of the given polynomial 6x^4 - 21x^3 - 4x^2 + 24x - 35 is (2x-7).
According to Rational Root Theorem,
Leading coefficient = 6
Trailing constant = 35
Factors of leading coefficient = 1, 2, 3, 6
Factors of trailing constant = 1, 5, 7, 35
Check for the rational roots
Let P = 7, Q = 2, then
P/Q = 3.5
F(P/Q) = 0
Apply Factor theorem which means the given polynomial must be divisible by P/Q, that is (2x-7)
Divide the polynomial into two groups
Group 1 6x^4 - 21x^3
Take 3x^3 common, we get
3x^3(2x - 7)
Group 2 - 4x^2 + 24x - 35
When we divide it by (2x - 7) we get (-2x + 5)
⇒ - 4x^2 + 24x - 35 = (-2x + 5)(2x - 7)
⇒ 6x^4 - 21x^3 - 4x^2 + 24x - 35 = (2x - 7)(3x^3 - 2x + 5)
Hence the correct option is A.
-- The given question is incomplete, the complete question is
"Which is a factor of the polynomial f(x) = 6x^4 - 21x^3 - 4x^2 + 24x - 35? A) 2x - 7 B) 2x + 7 C) 3x - 7 D) 3x + 7" --
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Write an equation of the line with a slope of -3 and a y-intercept of 0
Answer:
-3/9=07+90
Step-by-step explanation:
Answer: y = 0x+3 or y = 3
The slope is 0 and the y intercept is 3. So m = 0 and b = 3.
Plug those into y = mx+b to get y = 0x+3, and that simplifies to y = 3.
This graphs out a horizontal line that passes through the two points (0,3) and (1,3).
Anyone know the answer to 20?
Never gets it right will be the Brainleiest
Answer:
J
Step-by-step explanation:
If you use a calculator, 3/4 x 60 = 45
It’s the number closet to 100-55
Grace used 1,000 milliliters of apple juice to make one batch of fruit punch. How many liters of apple juice does Grace need to triple the recipe?
Answer: 3 L
Step-by-step explanation:
Given
Grace uses 1000 mL of apple Juice to make one batch of fruit punch
If she triples the recipe, then the Juice used is also tripled i.e.
[tex]\Rightarrow 3\times 1000=3000\ mL[/tex]
In littres, it is [tex]3000\ mL=3\ L[/tex]
2
1 point
Shauna buys a full golf club set for $1,145.87 on a 6 month installment plan. If her monthly
payments are $245.82. How much is the finance charge?
Answer: $329.05
Step-by-step explanation:
Since she pays $245.82 monthly and she is paying for 6 months, the amount paid will be:
= $245.82 × 6
= $1474.92
Since she buys the full golf club set for $1,145.87, then her finance charge will be:
= $1474.92 - $1,145.87
= $329.05
The finance charge is $329.05
I need to know this as soon as possible please
Answer:
x=3
Step-by-step explanation:
the sum of to numbers is 15 and their difference is 7
what are the two numbers?
What do I do in order to solve this problem?
A. Yes
B.no
Answer: yes!!!!!!!
Which is larger, 3/7 or 5/7?
Answer:
5/7
Step-by-step explanation:
Simplify using i.
3+2i
———
6+5i
Help me, pretty please
Answer:
The surface area is 8
and volume is 12.
Let me know if wrong!! :))
Step-by-step explanation:
What is the value of x?
Answer:
-115?
Step-by-step explanation:
i have no idea but try anyways
Rewrite the following expression with rational exponents. 3 sq root -27x^2 y^7
Show your work
Answer:
Step-by-step explanation:
The square root is possible only if y≤0
if y>0 the expression lose meaning, in fact (-)(+)(+) = (-) and a square root of a negative number doesn’t exist. x^2 is a square so it is ever positive if x is not 0
if y≤0 can be rewritten as:
3(-27x^2y^7)^1/2
or if we want simplify the expression:
[tex]3 \sqrt{3^2 * (-3) * x^2 * y^6 * y} = 3^2|x||y|^3 (-3y)[/tex] ^1/2
we have to put the symbol of absolute value between x and y because a x^2 and y^6 are numbers that are ever positive, while x and y^3 can be also negative. Thanks to the simbol of absolute value we can “force” them to be positive
(Score for Question 1: _____ of 5 points)
1. Find the measure of the side indicated (x). Round to the nearest tenth. Show your work to support your
answer.
B
37
11
х
A
Answer:
Answer:
[tex]x = 13.8[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To find y, we make use of the relationship between sides lengths 11 & x and angle 37
The relationship is:
[tex]cos(37) = \frac{11}{x}[/tex]
i.e.
[tex]cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]
Make x the subject
[tex]x = \frac{11}{cos(37)}[/tex]
[tex]x = \frac{11}{0.7986}[/tex]
[tex]x = 13.7741[/tex]
[tex]x = 13.8[/tex] -- approximated
can someone please help me on Carnegie??
Answer:
First tell me what's Carnegie
What is the probability of rolling a number 2 or less on a dice?
Provide answer as REDUCED FRACTION!
Answer:
1/3 if it's a standard die with the highest number being 6.
Step-by-step explanation:
OMG PLZ HELP ME! it is due tomorrow.....!
Step-by-step explanation:
Dilations do not change your angles, so although the length does change, your angles will not. So for your answer, the angles will be the exact same.
For the length, all you have to do is multiply each side by 5/2.
8: Multiplied by 5/2 is 20
9: Multiplied by 5/2 is 22.5
7: Multiplied by 5/2 is 17.5
The lengths are getting larger because they're being dilated by a number greater than 1.
I hope this helps :)
Answer:
Answers bellow hope I helped
Step-by-step explanation:
A)Each angle is the SAME becouse we are just making the triangle larger but the angles stay the same so:
Z' = 50°
X' = 70°
Y' = 60°
B)You have to multiply each of the sides by your scale factor so:
Side X'Y' = 7 x 5/2= 17.5
Side X'Z' = 8 x 5/2 = 20
Side Z'Y' = 9 x 5/2 = 22.5
A refrigerator was on sale at the appliance store for 20% off.Marcus received a coupon from the store for an additional 30% off any current price in the store. If he uses the coupon to buy the refrigerator , the price would be $487.20 before taxes.What was the original price?
Answer:
$870
Step-by-step explanation:
let $x be original price
x(0.8)(0.7) = 487.2
x= 487.2/0.8/0.7
x=870
Joan wants to reduce the area of her posters to be 2/3 of the original size. Match the original dimensions in the left column with the correct new area in the right column.
Answer:
Actual 2/3
30 inch. by 12 inch 240 inch²
30 inch. by 18 inch 360 inch²
12 inch. by 15 inch 120inch²
18 inch. by 15 inch 180inch²
Step-by-step explanation:
The answers are given in the same line .
Actual 1/3 2/3
30 inch. by 12 inch 120 inch² 240 inch²
30 inch. by 18 inch 180 inch² 360 inch²
12 inch. by 15 inch 60 inch² 120inch²
18 inch. by 15 inch 90 inch² 180inch²
We find the areas and multiply by 2/3 to get the answers
30 * 12= 360 inch²
2/3 * 360 = 240 inch²
30 * 18= 540 inch²
2/3 * 540 = 360inch²
12 * 15= 180 inch²
2/3 * 180 = 120 inch²
18 * 15= 270 inch²
2/3 * 270 = 180inch²
Jordan bought 3 bottles of water at the amusemen park. If the total cost of the water was $6, which equation could be used to find the cost of each bottle of water?
PLEASEEE HELP ME I NEED THIS FOR MY EXAMMM
Zachary bought some belts online for $56. He used a coupon code to get a 30% discount. The website also app lied a 15% processing fee to the price after the discount. How much was the discount, in dollars and cents?
Answer:the discount was $16.80
Step-by-step explanation:
Discount=30% of original price
=0.3X$56
=16.80
The discount was $16.80 in dollars and cents
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that Zachary bought some belts online for $56. He used a coupon code to get a 30% discount.
Given the website also app lied a 15% processing fee to the price after the discount.
Discount = 30% of original price
= 0.3 x $56
=16.80
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If you invested $2000 in an account that paid 8% annual Interest compounded quarterly, how much would the account be worth in 10 years?
Round to the nearest hundredth/cent.
Answer: A = $4,439.28
Rounded would be $4,439.3
Step-by-step explanation:
Which equation doesn't belong? Explain your reasoning. 1. 1/4x = 27 2. 3x = 36 3. 3/4x = 9 4. 4x = 48
Answer:
1/4x = 27
Step-by-step explanation:
Given the equations :
1.)
1/4x = 27 ;
x/4 = 27
x = 27 * 4
x = 108
2.)
3x = 36
Divide both sides by 3
x = 36/3
x = 12
3.)
3/4x = 9
3x / 4 = 9
3x = 9*4
3x = 36
x =. 36/3
x = 12
4. 4x = 48
x = 48/4
x = 12
All other equations equal to 12 except (1)
Hopefully a bot doesn't answer this... Also, you do not have to write explanation.
Answer:
i do not know but i will let you know when i do
Step-by-step explanation:
Given ^ABC~^EFD, find the value for x.
Answer:
4
Step-by-step explanation:
2x-3 = 5
2x = 8
x = 4
Hope this helps
I hope this helps you
in similar triangle sides are can be rate
ABC~EFD
AB/EF=BC/FD=AC/ED
5/2x-3=6/FD=4/9
9.5/4=2x-3
11.25+3=2x
2x=14.25
x=7.125
Hello! Could y’all please explain why this is Decay and not growth?
Answer:
This is an Exponential Decay
Step-by-step explanation:
A = 1200(0.85)⁶
The above expression is an Exponential Decay because 0.85 is less than 1
The formula for Exponential Decay
= y = a (1 - r)^t
We equate both equation together
Where
a = 1200
1 - r = 0.85
t = 6
Solving for r
1 - r = 0.85
r = 1 - 0.85
r = 0.15
Converting to Percentage
r = 15% decay rate
PLEASE HELP I AWARD BRAINLIEST
DO AS MANY AS YOU WANT
NO LINKS AND NO FUNNY ANSWERS plz
Answer:
please help if u help me i will tell my friend to help u
Step-by-step explanation:
FUNNY-FUNNY
City A and City B are 540 miles apart on a map. The scale on the map is 1inch:60 miles. How many inches apart on the map should City A and City B measure. Explain how you would solve this problem. What would the final answer be?
Answer: 9 inch
Step-by-step explanation:
Given
Distance between city A and city B is 540 miles
Scale on the map is 1 inch: 60 miles i.e. 1 inch on the map is equivalent to 60 miles in the real situation
suppose the distance between city A and B on the map is x
[tex]\therefore \dfrac{1}{60}=\dfrac{x}{540}\\\\\Rightarrow x=\dfrac{540}{60}=9\ in.[/tex]
Therefore, the distance between city A and B is 9 in.
Tell whether x and y
are proportional. If so, find the constant of proportionality.
8 = xy
Answer:
Step-by-step explanation:
y is inversely proportional to x; if x increases, y decreases.
Without more info it is not possible to find the constant of proportionality. Recheck the original numerical values. Think: 8 = kxy. You need to know x and y to find the value of k.
Which cords are congruent
Answer:
A chord is a line segment with endpoints on the circle. le Conjecture tells us that the central angles determined by the congruent chords are equal in measure
Step-by-step explanation: