Factor as the product of two binomials
x^2-9x+20
Answers
HOPE THIS WILL HELP U..✌✌:)
Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The given polynomial as the product of two binomials x²-9x+20 can be expressed as (x-5)(x-4).
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
The given polynomial can be factorized as shown below.
x² - 9x + 20 = 0
Divided the middle term into two terms such that the sum of those two terms is -9, while the product of those two terms is +20.
Therefore, the two terms will be -5 and -4.
= x² - 5x - 4x + 20
Taking x as the common term from the first two terms and -4 as the common term from the last two terms.
= x(x-5)-4(x-5)
Taking (x-5) as the common term from the two formed terms,
=(x-5)(x-4)
Hence, the given polynomial as the product of two binomials x²-9x+20 can be expressed as (x-5)(x-4).
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Related Questions
What is the perimeter of the isosceles triangle shown below?
A) 27 units
B) 22 units
C) 32 units
D) 24 units
Answers
The perimeter of the isosceles triangle is C) 32 units.
Step-by-step explanation:
Step 1; First, we plot the three ends of the triangle. Assume the bottom left is A, the bottom right is B and the top end is C. The coordinates are;
A = (-6, -2), B = (6, -2) and = C (0, 6). A triangle's perimeter is the sum of its three side lengths. So we need to determine the side lengths of the given sides.
Step 2; To find the distance between A (-6, -2) and B (6, -2), we use the formula
Distance = √ (x2 - x1)² + (y2 - y1)².
Distance between (-6, -2) and (6, -2) where (-6, -2) is (x1, y1) and (6, -2) is (x2, y2).
Distance = √ (6 - (-6))² + (2 - (-2))² = √ 12² + 0² = √12² = 12 units.
Step 3; To find the distance between C (0, 6) and B (6, -2), we use the formula
Distance = √ (x2 - x1)² + (y2 - y1)².
Distance between (0, 6) and (6, -2) where (0, 6) is (x1, y1) and (6, -2) is (x2, y2).
Distance = √ (6 - 0)² + (-2 - 6)² = √ 6² + 8² = √36 + 64 =√100 = 10 units.
Step 4; To find the distance between C (0, 6) and A (-6, -2), we use the formula
Distance = √ (x2 - x1)² + (y2 - y1)².
Distance between (0, 6) and (-6, -2) where (0, 6) is (x1, y1) and (-6, -2) is (x2, y2).
Distance = √ (-6 - 0)² + (-2 - 6)² = √ 6² + 8² = √36 + 64 =√100 = 10 units.
Step 5; The perimeter of the triangle = 12 + 10 + 10 = 32 units, which is option C.
Joey is organizing his toys so that each bin has the same number of toys without mixing the toys. He has 27 trucks and 36 boats. What is the greatest number of toys that can be put in a bin?
Answers
In the problem, we need to find the greatest common factor (GCF) of 27 and 36, which are the number of toys Joey has. The GCF is the highest number that can divide two numbers without a remainder. Factoring out, we see that the GCF is 9, and thus, Joey can put 9 toys in each bin.
Explanation:The subject of this question is Mathematics, specifically the area of greatest common factor (GCF). We have to find the greatest number of toys that can be evenly distributed in bins using 27 trucks and 36 boats.
To solve this problem, we need to determine the GCF of 27 and 36. The GCF is the largest number that can divide two numbers without a remainder. Factoring out 27 and 36, we find that their common factors are 1, 3, and 9, with 9 being the largest. Therefore, the greatest number of toys Joey can put in a single bin without mixing the toy types is 9.
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A line is perpendicular to y = - x-1
and intersects the point (6,9).
What is the equation of this
perpendicular line?
Answers
Answer:
y=x+3
Step-by-step explanation:
y=-1x-1..... k1=-1
k1*k2=-1 (perpendicular) then
Slope=1=k2
A(6,9) x1 =6,y1 =9
y-y1 =k2(x-x1)
y-9=1(x-6)
y-9=x-6
y=x-6+9
y=x+3
Which statement below is true?
A. If p → q is true, then q → p is true.
B. If p → q is true and p is true, then q is true.
C. If p → q and q → r are true, then q → p is true.
D. If p → q and q → r are true, then r → p is true.
Answers
if p is bigger the q but r is bigger the p then r is also bigger then q
The correct statement is B. If p → q is true and p is true, then q is true.
Explanation:The correct statement is B. If p → q is true and p is true, then q is true.
This is known as the modus ponens rule and is a valid argument form in propositional logic. It states that if an implication is true and the antecedent (p) is true, then the consequent (q) must also be true.
For example, if p represents 'it is raining' and q represents 'the ground is wet', and the statement 'if it is raining, then the ground is wet' is true, and we know that it is indeed raining (p is true), then we can conclude that the ground is wet (q is true).
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{d(1)=13
{d(n)=d(n−1)+17
Find the 4 term in the sequence
Answers
d(4) = 64
Step-by-step explanation:
Step 1:
d(n)=d(n−1)+17
d(2) = d(1) +17
= 13+17
= 30
d(3) = d(2) + 17
= 30+17
=47
Step 2:
d(4) = d(3) + 17
= 47+17
= 64
determine the measures of the unknown angles in the figure
PLEASE HELP WILL GIVE MANY POINTS
Answers
Answer: You will need to put a protractor over the paper for me to answer the first one because I can only answer with protractors
Step-by-step explanation:
Answer:
apd=115
cpe=25
bpd=65
Step-by-step explanation:
A cylinder has a radius of 14 m and a height of 6 m.
What is the exact volume of the cylinder?
84m^3
168m^3
504 m^3 1176m^3
Answers
Option D: [tex]1176 \pi \ {m}^{3}[/tex] is the volume of the cylinder
Explanation:
Given that the cylinder has a radius of 14 m and a height of 6 m
We need to find the exact volume of the cylinder.
The formula to determine the volume of the cylinder is given by
[tex]Volume=\pi r^{2} h[/tex]
Let us substitute [tex]r=14[/tex] and [tex]h=6[/tex] in the above formula, we have,
[tex]Volume=\pi (14)^{2} (6)[/tex]
Squaring the terms, we get,
[tex]Volume=\pi (196)(6)[/tex]
Multiplying we have,
[tex]Volume=1176\pi \ m^3[/tex]
Thus, the volume of the cylinder is [tex]1176 \pi \ {m}^{3}[/tex]
Therefore, Option D is the correct answer.
What is an inequality
Answers
What is the surface area of the cylinder with height 3yd and radius 4yd?Round your answer to the nearest thousandth.
Answers
Answer:
175.93cm²
Step-by-step explanation:
Answer: 175.929 yd^2
Step-by-step explanation:
Find the sum of the first 8 terms in the following geometric series.
Do not round your answer. 2+8+32+...
Answers
The sum of 8 terms is 43690.
What of series?A series is the cumulative sum of a given sequence of terms.
Given:
2+8+32+...
a=2. r= 4
So, the sum of 8 terms
Sn = a(r^n - 1) / (r - 1),
S8 = 2( 65536 -1)/ (4-1)
S8= 65535*2/
S8 = 43690.
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1. Write the rule for finding a reflection of a point across the y-axis. 2. Use this rule to find the coordinates for the reflection of point (−3, −6) across the y-axis.
Answers
Answer:
(3,6) if (-3,-6) is reflected off the y-axis
How many more puppies weighed 3 pounds then 7 pounds?
Answers
Answer:
4 pounds?????
Step-by-step explanation:
(NOT QUITE SURE WHAT THE QUESTION WAS SO MAY BE WRONG)
7 - 3 = 4 pounds????
The answer depends on the number of puppies that weigh 3 pounds and 7 pounds. If 'x' puppies weigh 3 pounds and 'y' puppies weigh 7 pounds, the number of 3 pound puppies that outweighed the 7 pounds ones can be found by subtracting 'y' from 'x'.
Explanation:The phrasing of the question is a bit unclear. If we assume 'How many more puppies weighed 3 pounds than 7 pounds?' is the question, it's not possible to answer without the number of puppies that weigh 3 pounds and the number of puppies that weigh 7 pounds. Let's say you have 'x' puppies that weigh 3 pounds and 'y' puppies that weigh 7 pounds. The number of puppies that weigh more at 3 pounds than 7 pounds would be calculated as 'x' minus 'y'. If you have specific numbers to replace 'x' and 'y', substitute them in to find the number of puppies weighing more at 3 pounds.
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solve for x
x/9=7
i need help
Answers
Answer:
x = 63
Step-by-step explanation:
Step 1: Solve for x by multiplying both sides by 9
x/9 * 9 = 7 * 9
x = 63
Answer: x = 63
Yuko is making pancakes. The double number line shows the ratio flour:eggs. If yuko accidentally uses 3 eggs instead of 2 eggs, how much flour should he use?
Answers
Answer: Since Yuko used 1.5x the amount of eggs that he should have used, in order to find the answer you need to take the amount of flour Yuko was SUPPOSED to use and multiply it by 1.5
If Yuko uses 3 eggs instead of 2, Yuko should multiply the amount of flour required by 3/2 or 1.5 to maintain the correct proportionality, according to the recipe's proportions.
Explanation:Based on the problem, we are dealing with ratios in a recipe. The ratio provided is flour to eggs. If we had an example ratio, let's say 2 cups flour to 1 egg, and Yuko uses 3 eggs instead of 1, we'd have to scale up the flour by the same factor to keep the proportions in the pancake batter consistent.
Since Yuko uses three times the eggs (3 is three times larger than 1), he should also use three times the amount of flour. So for our example, if 1 egg needed 2 cups of flour, 3 eggs (which is three times 1 egg) would require 6 cups of flour (three times 2 cups) to maintain the correct proportionality.
Thus, if Yuko accidentally uses 3 eggs instead of 2 eggs, he needs to also increase the amount of flour used proportionately to maintain the same pancake consistency according to the recipe's ratios.
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What percent of 32 is 57?
Answers
Answer:
56.14%
Step-by-step explanation:
Answer: 56.140350877193%
Step-by-step explanation:covert fraction (ratio) 32/57 that’s how you get your answer.
given h(x) = 4x + 3, find h(-1)
Answers
Answer:
-1
Step-by-step explanation:
4x-1=-4
-4+3=-1
The value of h(-1) is -1 after plugging the value of x = -1 in the function h(x) = 4x + 3 the answer is -1.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The function h(x) = 4x + 3
Plug x = -1 in the above function:
h(-1) = 4(-1) + 3
h(-1) = -4 + 3
h(-1) = -1
The linear function can be defined as the relation between two variables, if we plot the graph of the linear function we will get a straight line.
If in the linear function, one variable is present, then the function is known as the linear function in one variable.
Thus, the value of h(-1) is -1 after plugging the value of x = -1 in the function h(x) = 4x + 3 the answer is -1.
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One more than 3 times a number is
the same as 5 times the number,
decreased by 15. Find the number
Answers
Answer: the number is 8. hope it helps please give me brainliest!
Step-by-step explanation:
so the equation is 1+3x=5x-15 x= the number
-1 from both sides
3x=5x-16
-5x from both sides
-2x=-16
divide both sides by -2 to get x by itself
x=8
What is the exact value of tan(3009)?
Answers
Answer:
-sqrt(3)
Step-by-step explanation:
If you type in your calculator, you'll get -1.732050808... which is the negative of sqrt(3)
a drawing of a shape that is proportional to another is called
a. scale drawing
b. angle
c. degree
d. polygon
Answers
A scale drawing is a drawing made with proportionate scaling. It helps represent objects or spaces accurately and proportionally.
A scale drawing is a drawing that is done with a scale so that specific small units of measure represent larger units of measure. Scale drawings are used to represent objects or spaces proportionally, aiding in visualizing and understanding relationships between different elements.
how do you find volume of a octagonal prism?
Answers
Answer:
V=2(1+2)a2h
Step-by-step explanation:
Final answer:
To calculate the volume of an octagonal prism, find the area of the base using the formula A = 2(1 + √2)s² for a regular octagon, then multiply by the prism's height. Ensure all measurements are in the same units.
Explanation:
To find the volume of an octagonal prism, you need to calculate the area of the base octagon and then multiply it by the height of the prism. The formula for the area of a regular octagon (assuming all sides, s, are equal) is [tex]A = 2(1 + \sqrt{2} )s^2[/tex], where s is the length of one side. To find the volume, V, you then multiply this area by the height, h, of the prism: V = A*h = [tex]2(1 + \sqrt{2} )s^2*h[/tex]. It's important to ensure that all measurements are in the same units to get the volume in cubic units (e.g., cubic centimeters, cubic meters).
Which number could the point D represent?????????
Answers
Answer:
[tex]\leq[/tex]11
Step-by-step explanation:
Answer:
115
Step-by-step explanation:
Of the 250 cats in a local cat show, 73 are orange, 11 are white, 80 are black, 27 are calico, 50 are gray, and 9 are tuxedo. To the nearest thousandth, what is the probability a
randomly selected cat from the show will be gray or tuxedo?
Answers
Answer:
[tex]0.236[/tex]
Step-by-step explanation:
The total number of cats in a local cat show is 250
Of these, 73 are orange, 11 are white, 80 are black, 27 are calico, 50 are gray, and 9 are tuxedo.
The probability of a
randomly selected cat from the show will be gray or tuxedo is
[tex] = \frac{50}{250} + \frac{9}{250} [/tex]
We simplify to get:
[tex] = \frac{50 + 9}{250} [/tex]
[tex] = \frac{59}{250} [/tex]
[tex] = 0.236[/tex]
To find the probability of selecting a gray or tuxedo cat in a cat show, add the number of gray and tuxedo cats, then divide by the total number of cats.
The probability that a randomly selected cat from the show will be gray or tuxedo is calculated by adding the number of gray cats and tuxedo cats, then dividing by the total number of cats.
Number of gray cats = 50
Number of tuxedo cats = 9
Total number of gray or tuxedo cats = 50 + 9 = 59
Probability = Number of gray or tuxedo cats / Total number of cats
Probability = 59 / 250 ≈ 0.236
What is 19/22 as a decimal rounded to the nearest tenth
Answers
Final answer:
19/22 as a decimal is approximately 0.86363636..., and when rounded to the nearest tenth, it is 0.9.
Explanation:
To find what 19/22 is as a decimal rounded to the nearest tenth, we first need to perform the division of 19 by 22. When you carry out this division, the result is approximately 0.86363636... To round this to the nearest tenth, we would look at the first digit after the decimal point, which is 8, since the next digit (6) is greater than or equal to 5, we round up the 8 to 9. Therefore, 19/22 rounded to the nearest tenth is 0.9.
how do you find the y intercept when given points
Answers
Answer:
On graph Y is vertical line and the intercept is where it matches x , as x is horizontal and always first to find. The usual equation to find x = 0 will always give you the y value in the given equation.
Step-by-step explanation:
Marisol is solving the equation 6(x+3)=21. Find her mistake and correct it.
Answers
Answer:
x = 1/2, See Explanation Below
Explanation:
When you solve the equation, you have to take out the 6 first. The mistake is that you Marisol subtracted from 3 directly instead of factoring the x and the 3 out. Below is what you are supposed to do in order to get the right solution.
Step-by-step for Equation:
6(x+3) = 21
6x + 18 = 21
6x = 21 - 18
6x = 3
x = 3/6
x = 1/2
I hope this helps! If you are kind enough, please give me the brainliest answer. It is greatly appreciated if so. Thank You!
6(x+3)=21
6 times X would be 6x
6 time three would be 18
You always wanna do what’s in parentheses first
So now your problem would be 6x+18=21
Now you subtract 18 from 21 to get the 6x by itself and it would look like this now 6x=3
Now divide 6 by itself and by 3 and you would get x=3
If m∠NOP = 24° and m∠NOQ = 110°, what is m∠POQ?
Two adjacent angles, angle NOP and angle POQ.
A. 62°
B. 86°
C. 134°
Answers
Correct answer for the above question is - option B. 86°
Step-by-step explanation:
Given:
∠NOP = 24°
∠NOQ = 110°
∠NOP and ∠POQ are adjacent angles
To Find:
∠POQ = ?
Solution:
Hereby, we can say that ∠POQ lies between line OQ and ON as given (∠NOP and ∠POQ are adjacent angles )
∠NOQ - ∠NOP = ∠POQ
∠POQ = 110° - 24°
∠POQ = 86°
Angle POQ is 86°
Thus we can conclude option B as correct answer.
The measure of the angle POQ is 86°
From the question, we are given the following parameters;
Given:
∠NOP = 24° ∠NOQ = 110° ∠NOP and ∠POQ are adjacent anglesRequired
∠POQ = ?
To get the unknown angle ∠POQ, we will use the expression below:
∠NOQ - ∠NOP = ∠POQ
∠POQ = 110° - 24°
∠POQ = 86°
Therefore the measure of the angle POQ is 86°
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Do you know what 2/9 x 3 is?
Answers
Answer:
[tex]answer = \frac{2}{3} [/tex]
[tex] \frac{2}{9} \times \frac{3}{1} \\ = \frac{6}{9} = \frac{2}{3} [/tex]
Answer:
it is 2/3
since your multiplying a fraction times 3 you should put it over 1 to make it a fraction and then just multiply across and simplify hope this helps!!
Find an equation in slope-intercept form of the line that has slope 2 and passes through point A(-8, 7)
Answers
Answer:
y = 2x + 23
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (- 8, 7) into the partial equation
7 = - 16 + c ⇒ c = 7 + 16 = 23
y = 2x + 23 ← equation of line
Answer:
y=mx+c
y=2x+c
Y intercept(c) 23 - to find y we have to input the values
7=2*-8+c
7=-16+c
23=c
Which percent is equivalent to 720?
Answers
Answer:
720%
Step-by-step explanation:
it was easy cant explain
Answer: Its 35%
Step-by-step explanation: I'm assuming you mean 7/20
Please help I’ve been stuck on it forever. :(
Answers
Answer:
$31.37 is the sale price
Step-by-step explanation:
All you need to do to find the discount price (sale price) is multiply the price of the item by the decimal form of the percentage.
1. Store A. 40% off the original price of $159.99
[tex](159.99 * .40) = 63.996[/tex]
63.996 is the discount price we are looking for
2. Store B. 25% off the original price of $130.50
[tex](130.50 * .25) = 32.625[/tex]
32.625 is the discount price we are looking for
3. Now to find their difference you just subtract the two values.
[tex]($63.996 - $32.625) = $31.371[/tex]
The discount price (sale price) is $31.371