Answer:
its option B : 18x3 – 12x2 + 9x – 6
Step-by-step explanation:
[tex]12( \frac{ -2 }{3}) {}^{2} +23( \frac{ - 2}{3} )+10= \frac{16}{3} − \frac{46}{3} +10=0[/tex]
12x² + 15x + 8x + 10 has a binomial factor of (3x+2).
What is a Quadratic equation?ax²+bx+c=0, with a not equal to 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
We may utilize the factor theorem, which asserts that if a polynomial f(x) has a component (x - a), then f(a) = 0, to identify which polynomial has (3x + 2) as a binomial factor.
In this situation, finding a value of x that reduces 3x + 2 to zero is necessary since we are trying to discover a polynomial that contains (3x + 2) as a component. We obtain x = -2/3 by solving 3x + 2 = 0.
Let's try the polynomials one by one:
(a) 6x³ + 3x² + 4x + 2:
f(-2/3) = 6(-2/3)³ + 3(-2/3)² + 4(-2/3) + 2
= -8/3 - 4/9 - 8/3 + 2
= -32/9,
so (3x + 2) is not a factor.
(b) 12x² + 15x + 8x + 10:
f(-2/3) = 12(-2/3)₂ + 15(-2/3) + 8(-2/3) + 10
= 16/3 - 10 - 16/3 + 10
= 0,
so (3x + 2) is a factor.
(c) 18x³ - 12x² + 9x - 6:
f(-2/3) = 18(-2/3)³ - 12(-2/3)² + 9(-2/3) - 6
= -32/3 + 8/3 - 6 - 6
= -32/3,
so (3x + 2) is not a factor.
(d) 21x⁴ + 7x³ + 6x + 2:
f(-2/3) = 21(-2/3)⁴ + 7(-2/3)³ + 6(-2/3) + 2
= 64/27 - 56/27 - 4 + 2
= 2/27,
so (3x + 2) is not a factor.
Therefore, the only polynomial that has (3x + 2) as a binomial factor is 12x² + 15x + 8x + 10.
Learn more about Quadratic equations here:
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pls help! correct gets thanks and brainliest :)
Answer:
[tex] m\angle SYX=76\degree [/tex]
Step-by-step explanation:
[tex] m\angle SYX = m\angle UYV[/tex]
(Vertical angles)
[tex] \because m\angle UYV=76\degree [/tex]
[tex] \therefore m\angle SYX=76\degree [/tex]
Find the value of x.
Answer:
14
Step-by-step explanation:
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You purchase a new flat screen TV for $878.99. You are charged sales tax at a rate of 6%. What is your total balance due when you go to pay for the TV?
Answer:
Sales tax: $52.74
■ Cost/Price before ST: $878.99
■ Total Cost/Price including ST: $931.73
Step-by-step explanation:
Plz help. i need asap.
A bag contains blue, red, and green marbles. Paola draws a marble from the bag, records its color, and puts the marble back into the bag. Then she repeats the process. The table shows the results of her experiment. Based on the results, which is the best prediction of how many times Paola will draw a red marble in 200 trials?
A. about 300 times
B. about 140 times
C. about 120 times
D. about 360 times
Answer number two please please
Answer: 11
Step-by-step explanation:
Sooooo all I did was take the formula for the area of a triangle ( A= 1/2(b)(h) 0 and plug In the values. So 'b' would be 4 and 'h' would be 5.5. I assumed this rectangle had equal widths and equal heights.
An object moves 100 m in 4 s and then remains at rest for an additional 1 s.
What is the average speed of the object?
Answer:
20 m per second
Step-by-step explanation:
100 / 5 = 20
Please answer^^ I will give you brainlist!
Yes 5th grade math :clown face:
Answer:
Rhombuses
Step-by-step explanation:
It has four vertical lines, then draw a Venn Diagram, opposite to opposite.
Order from Venn Diagrams:
Quadrilaterals
Rectangles
Squares
Rhombuses.
Omar rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 98 cents for each mile driven. Omar had to pay when he returned the truck. For how many mile did he drive the truck?
The given question is incomplete. The complete question is:
Omar rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 98 cents for each mile driven. Omar had to pay $23 when he returned the truck. For how many mile did he drive the truck?
Answer: Omar drove the truck for 5.15 miles
Step-by-step explanation:
Base fee = 17.95 $
Additional charge per mile = 98 cents = 0.98 $ ( 100cents = 1$)
Now Omar payed = 22 $
Let the miles he travelled = x
Now , [tex]17.95+0.98\times x=23[/tex]
Solvimg for x :
[tex]x=5.15miles[/tex]
Thus Omar drove the truck for 5.15 miles
Can someone help me with this. Will Mark brainliest. Need answer and explanation/work. Thank you.
Answer:
Parallel: y = -2x + 2 (Or any value that isn't 4), Perpendicular: 1/2x + (Anything),
Neither: y = 4x - 7 (Or any random equation that does not have the same, or opposite reciprocal slope)
Step-by-step explanation:
Cheryl moves houses. Her old house is 3 kilometers from her new house. How many meters is it from the old house to the new house?
Answer:
3000 here hope this helps you out
HELPP I WILL GIVE YOU BRAINLIEST!! i think the answer is 42x + 12 but i am not sure!!
(3/2)^4= in fraction form help pls
Answer:
81/16
Step-by-step explanation:
What is the solution to this system
Answer:
(1, - 1)
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
The lines intersect at (1, - 1)
Then (1, - 1 ) is the solution to the system.
Choose the equation that best describes the situation below.
Lee is 32 years younger than his mother and his mother is 67 years old. How old is Lee?
a = Lee's age
Answer:
67-32=a
if his mom is 67 and he is 32 years younger 67 minus 32 would equal a which is his age
-6x - 14 > 10 what is the answer to this problem, please helt
Answer:
Inequality Form:
x < - 4
Interval Notation:
( − ∞ , − 4 )
Step-by-step explanation:
Given f(x)=9+x and g(x)=3x-2, evaluate: fg(x)
Answer:
(f*g)(x) = 3x^2 + 25x - 18
Step-by-step explanation:
(f*g)(x) represents the product of the two functions f and g:
(f*g)(x) = 27x - 18 + 3x^2 - 2x, or, after simplification,
(f*g)(x) = 25x - 18 + 3x^2, or
(f*g)(x) = 3x^2 + 25x - 18
the diagram shows a triangle.
2s
40°
2s
What is the value of s?
Answer:
s would be 20
Step-by-step explanation:
because 2 x 10 = 20 so you then would add the second 20 to the first 20 and get 40
Please help me, I’m struggling
Answer:
28[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
[tex]\sqrt{96}[/tex]
= [tex]\sqrt{16(6)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{6}[/tex]
= 4[tex]\sqrt{6}[/tex]
Then
7[tex]\sqrt{96}[/tex]
= 7 × 4[tex]\sqrt{6}[/tex]
= 28[tex]\sqrt{6}[/tex]
Picking a purple marble from a jar with 3 green and 3 purple marbles. What is the probability of picking a purple marble?
Answer:
1/2
Step-by-step explanation:
The total number of marbles in the jar is equal to 6
Since we have 3 purple marbles and 3 green marbles,
The probability of picking a purple marble =
Number of purple marbles in the jar / total number of marbles
= 3/6
= 1/2
From this calculation the probability of picking a purple marble is 1/2 or 0.5
The length of a rectangle is five more than three time its width. The perimeter of a rectangle is 234. What is the width of the rectangle
Answer:
28 units
Step-by-step explanation:
Given data
Let the width be x
The length is =3x+5
Perimeeter= 234
The expression for the perimeter is
P=2L+2W
Substitute
234= 2*x+2(3x+5)
234= 2x+6x+10
Collect like terms
234= 8x+10
234-10= 8x
224=8x
x= 224/8
x=28
Hence the width is 28 units
Pls help! question is on picture, will mark brainlyest if its right
Answer:
sine=opposite/hypotenuse
sine=6/10
sine=0.6
sine^-1 0.6
=36.87
What is the difference between 3/4 and one
Answer:
3/4 is 0.75 and 1 is 1
Step-by-step explanation:
:\
I NEED HELP!!! :((((
Answer:
it represents a polynomial
If you need 4 eggs to make 12 Yorkshire puddings. How many do you need to make 18
Yorkshire puddings?
Answer:
54
Step-by-step explanation:
First of all,
Cross multiplication
4 = 12
18 = x
Let the value of the number of eggs be represented by x
4x = 12×18
4x = 216
4. 4
(Same as 216÷4)
x = 54
The expression shown below was generated using a graphing calculator. Solve the expression and answer in correct scientific notation.
(4.5E6)(2.3E7)
A) 1.035×1014
B) 1.035×1013
C) 6.8×1013
D) 2.2×1013
How many years would it take for
£109.27 to be accrued after
£100 is invested with 3%
pa compound interest.
Years:
Answer:
3 years approx
Step-by-step explanation:
Given data
Principal=£100
Amount= £109.27
Rate= 3%
The expression for the compound interest is
A=P(1+r)^t
Make t subject of formula we have
t= ln(A/P) / r
t= ln(109.27/100)/ 3
t= ln(1.0927)/0.03
t= 0.088/0.03
t= 2.93
Hence the time is 3 years approx
A blue circular target is tacked onto a square corkboard. The area of the target is 75 square units. What is the area of the corkboard that is not covered by the target?
») What is the circumference of the rim of a basketball hoop with a radius of 9 inches? First, multiply the radius by__ to get the diameter__ inches. Then, multiply the diameter by 3.14 (an approximation for 1) to get a circumference of
about__ inches. ») Convince Me! If the diameter is doubled, what happens to the circumference? Explain.
Answer:
First, multiply the radius by 2 to get the diameter 18 inches. Then, multiply the diameter by 3.14 (an approximation for 1) to get a circumference of about 56.52 inches. If the diameter doubles the circumference doubles.
Step-by-step explanation:
18π = 56.52
36π = 113.04
56.52*2 = 113.04
Which expression is equivalent to
1/3b -7
Answer:
2/6b-7
Step-by-step explanation:
Answer:
1/3(b-21)
hope it helps :)
Cindy lost 28 pounds while on a diet. She now weighs 157 pounds. Write and solve an equation to find her initial weight
Answer:
The equation is 157+28=185.
157+ 28= 185
I think that’s right