Answer:
-4x + 5
Step-by-step explanation:
to be parallel, you need the same slope,
so it has to be -4x
and to go through the point (1,1) the y intercept has to be 5
because if you are using that slope, going down four and over one starting at (0,5) will connect the line to (1,1)
If it helps to draw it out or somehow visually see it, that would be a great idea
but in sum, the only answer is y = -4x + 5
(i didn't see someone had already answered)
(but the answer above uses the slope of 2x and I am unsure why because it says -4x on your question)
(so I guess you could just look at both and see what you need :))
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).
Learn more about Polynomials here:
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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.
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
(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
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
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%
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
Place the number 62.5 and 62.35 in the number line
Answer:
62.5 would go 5 lines out and 23.35 would go in the middle of the third and fourth line
Step-by-step explanation:
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.
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
Find the mean:
8, 10, 10, 10, 6, 7, 8
Answer:
8.43
Step-by-step explanation:
8 + 10 + 10 + 10 + 6 + 7 + 8 = 59
59/7 = 8.43 (or keep as improper fraction)
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
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
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 :]
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:
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.
square pyramide has base edges of 48cm and a slant height of 26cm, what is the volume
Answer:
C)
Step-by-step explanation:
Given: Base edge of square pyramid a= 48 cm
Slant height square pyramid l =26 cm
Let h be the height of the right pyramid
Thus,
The volume of square pyramid
Thus C is the right option.The volume of square pyramid=
hope this helped plz let me know :)
5. If a student is chosen at random from
those who participated in the survey,
what is the probability that the student is
male, given that the student participates
in sports?
Answer choices:
0.379
0.42
0.524
0.58
Answer:
0.524
Step-by-step explanation:
The probability that the chosen student is a male is 0.524 .
Given,
Number of male students who participated in sports = 110
Number of female students who participated in sports = 100
Number of male students who did not participated in sports = 180
Number of female students who did not participated in sports = 210
Now,
The probability that the male students is chosen will be given by,
P(MALE) = 110/210
P(MALE) = 55/105
P(MALE) = 11/21
P(MALE) = 0.524
Thus the probability of chosing a male student who participates in the sport is 0.524 .
Know more about probability,
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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
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
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.
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.
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.
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]
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:
i only need to know the first one
Answer:
x = 9
Step-by-step explanation:
2/3x +5 = -2/6x +14
Simplify
2/3x +5 = -1/3x +14
Add 1/3x to each side
2/3x + 1/3x +5 = -1/3x +1/3x +14
3/3x +5 = 14
x+5 = 14
Subtract 5 from each side
x+5-5=14-5
x = 9
Helppppppp please, all math lovers I'm calling for you
Answer:
Dive by n square root two, also option one.
Step-by-step explanation:
The first step to any algebra equation is to isolate the variable and you do that by divide square root 2 since it cancels out on the left side and now n is alone.
Hoped that helped :)
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.
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
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.