10 points !
Use synthetic division to find all the factors of this polynomial
4x^3+5x^2-18x+9
Answers
Answer:
(x-1)(4x-3)(x+3)
Step-by-step explanation:
The factor of the polynomial 4x³ + 5x² – 18x + 9 will be (4x – 3), (x + 3), and (x – 1).
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The polynomial is given below.
⇒ 4x³ + 5x² – 18x + 9
Then the factor of the polynomial will be
⇒ 4x³ – 3x² + 8x² – 6x – 12x + 9
⇒ x²(4x – 3) + 2x(4x² – 3) – 3(4x – 3)
⇒ (4x – 3)(x² + 2x– 3)
⇒ (4x – 3)(x² + 3x – x – 3)
⇒ (4x – 3)(x + 3)(x – 1)
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Related Questions
5. Write each comparison as a rate.
a. There was 15 mm of rain over 3 days.
b. Four chocolate bars were on sale for
$2.20.
c. Indu saves $14.00 every week.
d. Philip's height changed by 12 cm over
4 months
Answers
Answer:
5, 0.55, 2.00, 3 cm.
Step-by-step explanation:
If you're asking about the unit rates, then..
a. For 1 day, there is 5 mm of rain. 15 / 3 = 5
b. One chocolate bar costs $0.55. 2.20 / 4 = $0.55
c. $14.00 / 7 = 2.00 Indu saves $2.00 for one day.
d. 12 / 4 = 3 cm. For one month, philip grew 3 cm.
I hope this helped :)
solve the inverse for k
2(k-12)-5(k+2)<-9k+4k
Answers
_____________
At Garland School, 3/5 of the 490 students are boys.
At Bowood School, 5/7 of the 945 students are girls.
Which school has the greater number of girls and by how many?
You must show your working.
Answers
Step-by-step explanation:
the bowood school by 455 kids
what is the circumference of a circle that that is d=23 ft.
Answers
Answer:
72.26ft
Step-by-step explanation:
[tex]6x - 2y = 18[/tex]
what is the answer
Answers
Answer:
x could be 3 and y could be 0
x=3
y=0
Step-by-step explanation:
need the whole question, unless there are multiple correct answers
Answer:
x = 4 and y = 3
Step-by-step explanation:
Bill bought a $300 watch which was on sale for $280. What was the percent discount?
Answers
I am a little confused on what you meant, and I'm not sure if its correct. I think he saved $20
Using the slope formula, find the slope of the line through the points (0,0) and (4,16)
Answers
A rectangular dining room has an area of 20 square meters. It's perimeter is 18 meters. What are the dimensions of the dining room?
Answers
Answer:
The dimensions are:
Length = 5m and Width = 4m
Or
Length = 4m and Width = 5m
Step-by-step explanation:
A rectangular dining room has an area of 20 square meters. It's perimeter is 18 meters. What are the dimensions of the dining room?
Area of a rectangle = Length × Width
= LW = 20 m²
Perimeter of a rectangle =
2L + 2W = 18 m
Hence:
LW = 20...... Equation 1
L = 20/W
2L + 2W = 18 ...... Equation 2
We substitute
20/W for L in Equation 2
2(20/W) + 2W = 18
40/W + 2W = 18
Multiply through by W
40 + 2W² = 18W
2W² - 18W + 40 = 0
2W² - 10W - 8W + 40 = 0
(2W - 8 )(W - 5) = 0
2W - 8 = 0
2W = 8 , W = 8/2 = 4m
W - 5 = 0
W = 5m
W = 4m or 5 m
Solving for L
When W = 5 m
L = 20/W
L = 20/5
L = 4m
When W = 4m
L = 20/W
L = 20/4
L = 5m
Therefore, the dimensions are:
Length = 5m and Width = 4m
Or
Length = 4m and Width = 5m
What is the answer???
Answers
a sphere has a volume of 905cm. what is the radius of the sphere rounded to the nearest whole number ?
Answers
Answer:
r = 6
Step-by-step explanation:
The value of radius of the sphere rounded to the nearest whole number is,
⇒ r = 6 cm
We have to given that,
Volume of a sphere = 905 cm
Since, We know that,
Volume of sphere = 4/3 (πr³)
Where, 'r' is radius of sphere.
Now, Substitute the given value, we get;
⇒ 905 = 4/3 (πr³)
⇒ 905 × 3 = 4 × 3.14 × r³
⇒ 2,715 = 12.56 × r³
⇒ r³ = 216.16
⇒ r = ∛216.16
⇒ r = 6 cm
Thus, The value of radius of the sphere rounded to the nearest whole number is,
⇒ r = 6 cm
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Use the GCF and the distributive property to find the sum of 22+33
Answers
Answer:
22 + 33 = 55 the GCF of 22 and 33 is 11
Step-by-step explanation:
The sum of 22 and 33 by using distributive property will be; 55.
How to find Greatest common factor?The greatest common factor, as the name implies, is the greatest among all common factors among the quantities given.
We can factorize the quantities in the smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could.
Factors:
22: 1 ,2, 11, 22
33: 1, 3, 11, 33
Both the numbers have a GCF of 11. Then by removing 11 from both numbers you end up with:
22 = 2 x 11
33 = 3 x 11
Now replace the values on the right of the equals sign into the original equation then;
(2 x 11) + ( 3 x 11)
The distributive property allows us to remove the common values and rewrite them;
11(2 + 3)
11(5)
55
The sum of 22 and 33 by using distributive property will be; 55.
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whats 2÷1 to the 2nd power
Answers
Answer: its going to be 2
Step-by-step explanation: simplify 1 to the second power would be 1*1 and 2 divide by 1 is 2 hope this helps :D
Answer:
4
Step-by-step explanation:
13 = -4x +9 solve equation.
Answers
Answer:
-1x or -x
Step-by-step explanation:
4 divided by -4
Hey guys again please I suck at math
Answers
Answer:
the correct answer is number 2
Step-by-step explanation:
X3 - 4x - 16x-24
Answer:
the answer is B
Step-by-step explanation:
X3-4x2-16x+24
What are the points Please ASAP
Answers
Answer:
(0,1)
(0,-3)
(-2.5.-3)
Step-by-step explanation:
pls give me brainliest
:)
I don’t know step by step
WILL MARK YOU BRAINLIEST
Answers
Answer:
because JKML is a parallelogram
=> JK // ML
=> KJM + LMJ = 180⁰
<=> 3x + 20 + 5x - 8 = 180⁰
<=> 8x = 168
<=> x = 21
with x = 21 => L = 4.21 - 1 = 84 - 1 = 83⁰
Can someone please help me with b c and d?
Answers
Answer:
DO NOT CARE
Step-by-step explanation:
the value of y is proportional to x when x=3 then y=15 which equation represents the relationship between x and y?
Answers
Answer:
explaination
Step-by-step explanation:
# carry on learning
The solution is, A. y = 5x, the equation represents the relationship between x and y.
What is equation?An equation can be stated as a mathematical statement that is made up of two expressions connected by an equal sign. In its normal form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
Direct proportion equation:
y = kx, where k is the coefficient of proportionality
We have:
x = 3 and y = 15
Using the equation to find the value of k:
15 = 3k
k = 15/3
k = 5
The equation of the line:
y = 5x
Correct choice is A
Hence, The solution is, A. y = 5x, the equation represents the relationship between x and y.
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If angle 10 and angle 15 are congruent, which lines are parallel
Answers
Answer:
Line a is parallel with line b
Step-by-step explanation:
Multiply.
−3/7xy(−35x^3y^2)
Enter your answer in the box.
Answers
Answer:
[3] / [(245)(x^4) (y^3)]
Step-by-step explanation:
i’ll mark brainliest
Answers
Angles 1 and 2 are supplementary.
• The measure of angle 1 is (2x - 3) ◦
• The measure of angle 2 is (-5x + 423) ◦
What is the measure of angle 2?
Answers
Answer:
1 = 157°
2 = 23°
Step-by-step explanation:
because the angles are supplementary, their angles will add up to 180°set up the equation (2x-3)+(-5x+423)=180combine like terms to get -3x+420=180subtract 420 from 180 to get -3x=-240divide by three and get x=80now plug in 80 for x in both equationseach unit cube measured 1 inch3. what is the maximum volume of the prims
Answers
Answer:
1 x 3 x 1 = 3
Step-by-step explanation:
The average depth of a certain ocean is 10,938 feet below the surface of the ocean.
Answers
Answer:
-10,938
Step-by-step explanation:
Since it is below sea level then it’s negative.
Hope this help!
What is the lateral surface area of the square pyramid represented by this net?
Enter your answer in the box
__ft²
Answers
Answer:
If you know the answer to this just put it down below
Step-by-step explanation:
Christian and Jaida are summer interns at a state park .They are helping to plant trees in an area where there was a forest fire .Christian’s uncle owns a tree nursery and is willing to donate a 3-foot tall tree that will grow 1.5 feet per year. Jaida goes to another nursery ,but is only able to get tree seeds donated according to the seed package the trees will grow 1.75 feet per year.
I NEED HELP WITH THE CHARTS!!!
Answers
Answer:
Step-by-step explanation:
okay hopefully i could explain it fast for you but
christian tree jaida's tree
0 0 0 0
1 1.5 1 1.75
6 9 6 10.5
11 16.5 11 19.25
12 18 12 21
13 19.5 13 22.75
Alicia purchased h half gallons of ice cream for 3.50 each p packages of ice cream cones for 2.50 each she purchased 14 items and spent 43$ which system of equations could be used to determine how many of each item Alicia purchased
Answers
Answer:
H + P = 14
3.50H + 2.50P = 43
Step-by-step explanation:
Given that
H denotes half gallons of ice cream
P denotes packages of ice cream cones
Now
H + P = 14
And,
3.50H + 2.50P = 43
So, the systems of equations would be
H + P = 14
3.50H + 2.50P = 43
What is 234475 x 45678 =?
Answers
If 3 varies inversely as x and y=2 when x=25, find x when y=40
Answers
Find x
25
7
х
I need help
Answers
Answer:
24 = x
Step-by-step explanation:
You use Pythagorean theorem. Since the normal equation is [tex]a^{2} + b^{2} =c^{2}[/tex], you already have the [tex]c^{2}[/tex] and another side which can be [tex]a^{2}[/tex] or [tex]b^{2}[/tex].
Because you have the hypotenuse and a side , your equation looks like this now: [tex]7^{2} +b^{2} = 25^{2}[/tex]
and when you solve for be you just subtract [tex]25^{2} -7^{2}[/tex] to get 24.