Question 6:
Factor 5x4 – 20x3 + 20x2
completely.
The factors of the given expression are 5x², (x - 2), and (x - 2).
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
It is given that the polynomial expression 5x⁴ – 20x³ + 20x²
It is required to find its factor.
We have a polynomial expression let's denote it with f(x)
f(x) = 5x⁴ – 20x³ + 20x²
taking 5x² common
f(x) = (x²-4x +4) 5x²
from the formula (a -b)² = a² +b² -2ab
f(x) = (x -2)²*5x²
Thus, the factors of the given expression are 5x², (x - 2), and (x - 2).
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Julio is drawing tiles from a bag of tiles like the one shown below.
*picture is provided*
He draws a tile, replaces it, and draws another tile. What is the probability he will draw a yellow tile on both draws?
A. 1/25
B. 1/35
C. 2/21
D. 16/225
Answer:
[tex]\frac{1}{25}[/tex]
Step-by-step explanation:
if the picture shows 4 blue, 3 green, 5 red, and 3 yellow tiles, then the total amount of tiles is 15. Divide the number of yellow tiles by the total tiles. Remember the tile is replaced, so there will be the same 15 tiles in the bag with the same probability.
[tex]\frac{3}{15} *\frac{3}{15} = \frac{9}{225}=\frac{1}{25}[/tex]
There are 18 girls in a class. If this is 40% of the class list, then how many students are in the class list?
Final answer:
There are 45 students in the class.
Explanation:
If 18 girls represent 40% of a class, we can calculate the total number of students in the class using the concept of percentages. To find the total number of students, we set up a proportion, which is an equation that says two ratios are equivalent.
We know that 18 girls are to 40% what the total number of students is to 100%, since 100% would be the whole class.
We can express this relationship with the equation:
18 (number of girls) / (total number of students) = 40% / 100%
Using cross-multiplication, we can find the total number of students:
18 / x = 40 / 100
x = (18 * 100) / 40
x = 1800 / 40
x = 45
So, there are 45 students in the class list.
In a volley ball game, Steve served the ball over the net 17 out of 25 times. What percent did he not make over the net?
Answer:
32%
Step-by-step explanation:
25 - 17 = 8
8/25 x 100% = 32%
Answer:
32
Step-by-step explanation:
ed 2020
identify a, b and c in the equation 2x^2 - 5x + 3 = 0
Answer:
a = 2, b = -5, c = 3
Step-by-step explanation:
The standard form of the quadratic equation is a*x^2 + bx + c = 0
Looking at the equation you have, we should correspond the coefficients with the standard form I wrote above.
so. a = 2, b = -5, c = 3
Which phrase is represented by 3(8-n)+2
Answer:
Two more (+2) than three times (3) the difference between eight and a number (8-n)
Step-by-step explanation:
hope this helps
find the greatest common factor 18 and 36
Answer:
18 would be the GCF.
Step-by-step explanation:
18 | 36
6 | 18
36/2 = 18.
Identify all solutions for a triangle with A = 38 degrees b = 10, and a= 8. Round to the nearest tenth.
Answer:
A = 38°
B = 50.32°
C = 91.68°
a = 8
b = 10
c = 12.77
Step-by-step explanation:
The first thing is to find the angle B, like this:
sin B = b * sin A / a = 10 * sin (38 °) / 8
sin B = 0.77
B = arc sin (0.77)
B = 50.32 °
For angle C, it would be:
C = 180 - 38 - 50.32
C = 91.68 °
Side c, we calculate it like this:
c = a * sin C / sin A = 8 * sin (91.68 °) / sin (38 °)
c = 12.77
HELP WILL GIVE BRAINLIEST
Which is the equation of an ellipse with directrices at y = ±2 and foci at (0, 1) and (0, −1)?
(possible answers shown in image)
Answer:
[tex]\frac{x^{2} }{1} +\frac{y^{2} }{2}=1[/tex]
Step-by-step explanation:
The directrices of an ellipse are defined by
[tex]x=(+-)\frac{a}{e}[/tex]
Where [tex]a >b[/tex], and [tex]e[/tex] is the eccentricity defined by [tex]e=\frac{c}{a}[/tex]
So, in the first choice, we have the equation
[tex]\frac{x^{2} }{4}+\frac{y^{2} }{1} =1[/tex]
Where [tex]a^{2}=4[/tex] and [tex]b^{2}=1[/tex], which means [tex]a=2[/tex] and [tex]b=1[/tex].
In an ellipse, we have the relation
[tex]c^{2}=a^{2}-b^{2}[/tex]
Replacing values, we have
[tex]c^{2} =4-1=3\\c=\sqrt{3}[/tex]
So, the eccentricity is [tex]e=\frac{\sqrt{3} }{2}[/tex] and the directrices are [tex]x=(+-)\frac{2}{\sqrt{3} }[/tex], which means the first choice is not the right answer. In other words, the right answer is the second choice, because third and fourth choices don't represent an ellipse, both fractions must be positive in that case.
Therefore, the right answer is
[tex]\frac{x^{2} }{1} +\frac{y^{2} }{2}=1[/tex]
Answer:
OPTION B IS CORRECT
Step-by-step explanation:
FOR A VERTICAL ELLIPSE a IS ALWAYS LARGER THAN b AND a is always right under y-squared in the equation.
Which points on the graph represent values that could
be in the table? Choose all that apply.
A
B
C
D
Answer:
D and B
Step-by-step explanation:
for the Equtionb 1.75n=7,what is the value of n?
To solve the equation 1.75n = 7, divide both sides by 1.75 to isolate n, which simplifies to n = 4. Therefore, the value of n is 4.
Explanation:To solve the equation 1.75n = 7 for the value of n, you need to isolate n. This can be accomplished by dividing both sides of the equation by 1.75, the coefficient of n.
Here are the steps:
Divide both sides of the equation by 1.75:1.75n / 1.75 = 7 / 1.75Simplify both sides:n = 4The result is n = 4. Therefore, the value of n that satisfies the equation is 4.If 240 students are surveyed, how many students will not prefer math or language arts?
A.48 students
B.80 students
C.96 students
D.120 students
I need this ASAP please
Answer:
It's the first answer. Remember, equations like that are always y=mx+b. Y is whatever y value, m is the slope, x whatever the x value is. b is the y intercept (the y value when x equals 0). In this case, you can tell that 1/2 and 2 are the m, m is slope, so the first option should be correct.
Miss Burns is making cookies the recipe calls for 3 1/2 cups of flour and 3/4 cup of sugar if she wants to double the recipe how much flour and sugar does Miss Burns need
Answer:
Ms. Burns would need 7 cups of flour and 1 1/2 cups of sugar.
Step-by-step explanation:
I MULTIPLIED each fraction by 2.
Answer: 7 cups of flour 1 1/2 cups of sugar
Step-by-step explanation:
Glad to help
Maria wants to buy a new bicycle that costs $129.89. She has saved $78 of her babysitting money. Maria’s grandfather gave her $25 for her birthday. She finds $13.73 in her piggy bank. She expects to make another $12 for babysitting this weekend. Approximately, how much money will Maria have after she babysits this weekend?
Answer:
$128.73
Step-by-step explanation:
78 + 25 + 13.73 + 12= 128.73
A dart hits the board. What is the probability
that it will hit in Region II, as a decimal to the
nearest tenth?
Answer: The probability is 0.5
Step-by-step explanation:
The probability will be equal to the quotient between the area of region II, and the total area of the board (supposing that the probability of hitting in any place is equal)
The total area of the figure is equal to
Area = (15' + 35')*(8' + 20') = 50'*28' = 1400 in^2
Now, the area of region II is:
Region II = 20'*35' = 700
Then the probability is:
P = 700/1400 = 1/2 = 0.5
Write 6.012 as a mixed number in simplest form
Answer:
6 and 3/250
Step-by-step explanation:
The whole number part is 6, obviously
Then you have the fraction part, which in decimal form is 0.012 which is 12 thousandths which is 12/1000.
Simplify by dividing both the num. and denom. by 4 and you get 3/250. ;p
Answer:
6 3/250
Step-by-step explanation:
Compare Loan Terms
So you want to finance a car for $4,840. Let's say we offer you a 4.5%
interest rate on a 2-year loan and 6% on a 5-year loan. Enter this info
into the calculator to see your monthly and total cost by loan term.
Financing Amount
$4,840
Interest Rate on 2-Year Loan
$_____
Interest Rate on 5-Year Loan
$______
Answer:
Step-by-step explanation:
the answer is basically 4.5% and the 6%
Answer:
it's the 2 year loan is 4.5%
Which student solves and explains the equation correctly? Will choose brainliest.
Answer:
Jerry is correct
Step-by-step explanation:
[tex]8^{x} = 512[/tex]
this equation is asking 8 to what power is 512
Emma said the solution is x=3. Her explanation is 8 x 3 which would equal 24. This is not the correct answer.
Jerry's solution is x = 3. His explanation is 8 x 8 x 8 which would equal 512. This is the correct answer.
Mel's solution is x = 8. Her explanation is 8 x 3 which equals 24. This is not the correct answer.
Victoria's solution is x = 8. Her explanation is 8 x 8 x 8 which would equal 512. However, her explanation is correct, her solution is not. [tex]8^{8} = 16777216[/tex]. That is what her solution is saying.
(2y+3)( 3y² +4y+5)
What’s the product?
Answer:
6y3+17y2+22y+15
Step-by-step explanation:
Answer:
6y³ + 17y² + 22y + 15
Step-by-step explanation:
(2y+3) ( 3y² +4y+5)
Keep the 'FOIL' method (first, outside, inside, last) when distributing and you'll end up with
(2y)(3y² ) + (2y)(4y) +(2y)(5 ) +(3)(3y2) + (3)(4y) + (3)(5)
Now, multiply each set to get
6y³+8y²+10y+9y²+12y+15
From there, just simplify/combine like terms (8y² + 9y² and 10y + 12y) to get your final answer: 6y³ + 17y² + 22y + 15
Look at the three functions below. Which of the functions are equivalent? Two of them? None of them? All of them? Show/explain how you
know!
Function 1: x2-x-2
Function 2: (x + 1)(x - 2)
Function 3: (x -0.5)^2 - 2.25
Answer:
All of them
Step-by-step explanation:
x² - x - 2
(x + 1)(x - 2)
x² + x - 2x - 2
x² - x - 2
(x - 0.5)² - 2.25
x² - 2(x)(0.5) + 0.5² - 2.25
x² - x + 0.25 - 2.25
x² - x - 2
what is 3(4m + 2)
A. 12m + 2
B. 12m + 6
C. 18m
D. 14m
Answer:
B. 12m + 6
Step-by-step explanation:
Just distribute the 3 to both 4m and 2.
Answer:
B. 12m + 6
Step-by-step explanation:
Because there is a three, we must do three times both of the terms:
(3 x 4m) + (3 x 2)
When you do it, we get:
12m + 6
We cannot simplify it any further, so 12m + 6 is out final answer.
Hope this helped :]
Mrs. Hughes needs to rent tables for the 325 guests who will attend her
daughter's wedding reception. If Mrs. Hughes seats 8 guests at each table, how
many tables will be completely full? HINT: Is there a remainder in this problem? If
so, solve the division problem and then go back and read the question again
carefully. *
Answer:
40
Step-by-step explanation:
To solve this, divide the number of guests by the number of guests that can be seated at each table.
325/8 = 40 with a reminder of 5
This means that 40 tables will be completely full while one table has only 5 people
You invest $200 in a savings account. The account pays 3% interest compounded monthly. How
much money is in the account after 8 years?
Final answer:
To find out how much money will be in the account after 8 years with $200 initial investment and a 3% interest compounded monthly, use the compound interest formula A = P(1 + r/n)^(nt). The calculation results in approximately $256.67 in the account after 8 years.
Explanation:
To calculate how much money will be in the savings account after 8 years with an initial investment of $200 and a 3% interest rate compounded monthly, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the amount of money accumulated after n years, including interest.P is the principal amount (the initial amount of money).r is the annual interest rate (decimal).n is the number of times that interest is compounded per year.t is the time the money is invested for, in years.In this case, P = $200, r = 0.03, n = 12 (since interest is compounded monthly), and t = 8.
The formula becomes:
A = 200(1 + 0.03/12)^(12*8)
Calculating this we get:
A = 200(1 + 0.0025)^(96)
A = 200(1.0025)^96
A = 200(1.283362)
A ≈ $256.67
After 8 years, the savings account will have approximately $256.67.
Need help with this What are the like terms in the equation 5x + 3y + 2x + 3z = 27? ASAP
Answer:
c
Step-by-step explanation:
the like terms are 5x and 2x
The like terms in the given equation are 5x and 2x. Therefore, option C is the correct answer.
What are like terms?Like terms are those terms whose variables and their exponent power are the same. The coefficient of these variables can be different. Algebraic-like terms are terms that are similar to each other.
The given equation is 5x+3y+2x+3z=27.
In the given equation like terms are 5x and 2x and unlike terms are 3y and 3z.
Therefore, option C is the correct answer.
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I have no idea just please helppp ☺️
Answer:
x=0
Step-by-step explanation:
2x-6+9=3x+3+x
2x+3=4x+3
2x=4x
2x-4x=0
-2x=0
x=0
answer needed quick
is it
supplementary
vertical
complementary
adjacent
Answer:
Vertical angles
Step-by-step explanation:
Answer: Vertical angles
Step-by-step explanation:
Pair of opposite angles made by two intersecting lines
Plzzzzz helppp me plzzz
Answer:
X=-2
Step-by-step explanation:
You start with adding 7 to the side with -9 to get the (x) alone. Then you have x=-2.
Answer:
x = -2
Adding two negative numbers is easy: you're just adding two "negative" arrows, so it's just like "regular" addition, but in the opposite direction. For instance, 4 + 6 = 10, and –4 – 6 = –4 + (–6) = –10.
Nala is designing a piece of jewelry made of wire that has the shape shown below. It consists of two sides of a square and three-quarters of a circle. To the nearest tenth, what is the length of wire needed? Note that no wire is needed along the dashed line segment. (the curved part is three fourths the circumference)
(1) 14.1
(2) 18.4
(3) 20.1
(4) 24.8
Answer:
Option (3) is the answer.
Step-by-step explanation:
Given question is incomplete; find the complete question in the attachment.
Jewelry made by Nala is a composite figure having three fourth of a circle and two sides of a square.
Perimeter of the whole figure will give us the length of wire needed to design the jewelry.
Perimeter of three fourth of a circle P(circle) = [tex]\frac{3}{4}(2\pi r)[/tex]
Here, r = radius
P(circle) = [tex]\frac{3\pi (3)}{2}[/tex]
= 14.14 cm
Perimeter of the complete (composite) figure = 14.14 + 3 + 3
= 20.13
≈ 20.1 cm
Therefore, Option (3) is the answer.
Dallas wants to know what elective subjects the students at his school like best. He surveys students
who are leaving band dass. Is this a random or biased sample, and why?
It is a (select) sample because
(select)
Answer:
It is a biased because he only asked the people who left band class. He wanted the people of band class to represent his entire school's opinion. Besides, the students of that class are limited number. If he randomly asked the question, the people chosen would be of any gender, class, etc. and its all random.