A backpack originally costs $35.It is on sale for $22.75. Find the percent of decrease.
21 points bruh and also sub to RahimZ
Difference of Squares gives which complex factors for the expression x2 +3?
A. (x+3)(x-WB)
B. (x-3)(x-3)
C. (x+3)(x-3)?
D. (x+3)(x-31)
Step-by-step explanation:
Shortest way to solve this question is to find the factors of the given expression.
The given expression is (x² + 13).
Now we have to factorize it.
(x² + 13) = x² + (√13)²
= x² + [-(i)²√(13)²] [Since i = √(-1)]
= x² - (i√13)²
= (x - i√3)(x + i√3) [Since (a² - b²) = (a + b)(a - b)]-by-
Original Price = $ 20, % Markup = 15%
Answer:
23 dollars
Step-by-step explanation:
so to figure out how much more you grab 20 and multiply by .15 as percent and you will get 3 dollars more so 23
Leon is posting 12 flyers for the science club and 18 for the music club. He wants to make all the locations identical, with the same combination of science club flyers. In addition, he wants to make sure that no flyers are left over. What is the greatest number of locations that Leon can post at?
Answer:
Leon will post 2 science club flyers in each location
Leon will post 3 music club flyers in each location
The greatest number of locations that Leon can post at is 6 locations
Step-by-step explanation:
Science club flyers = 12
Music club flyers = 18
He wants to make sure that no flyers are left over.
Find the highest common factor of 12 and 18
12 = 1, 2, 3, 4, 6 and 12
18 = 1, 2, 3, 6, 9 and 18
The highest common factor of 12 and 18 is 6
The greatest number of locations that Leon can post at is 6 locations
Science club flyers = 12
= 12 / 6
= 2
Leon will post 2 science club flyers in each location
Music club flyers = 18
= 18 / 6
= 3
Leon will post 3 music club flyers in each location
Leon will post 2 science club flyers in each location
Leon will post 3 music club flyers in each location
The greatest number of locations that Leon can post at is 6 locations
Solve : 4(4p+6)=16 find the value of p
Answer:
p=-1/2
Step-by-step explanation:
4(4p+6)=16
4p+6=4
4p=4-6
4p=-2
P=-2/4
p=-1/2
Solve.
5 (2 – 3) < 5W + 20
Answer:
W > -5
Step-by-step explanation:
5×(-1) < 5W + 20
-5 < 5W + 20
-25 < 5W
-5 < W
W > -5
The temperature was -5 ℉ in Denver and then fell 8 ℉ by the morning.
The temperature was -15 ℉ im Minneapolis and then rose 9 ℉ in the morning.
At midnight the temperature is -6℃. At midday the temperature is 9℃. By how much did the temperature rise
The temperature is -2℃. If the temperature rises by 15℃, what is the new temperature?
Answer:
The new temperature is 13 degrees Fahrenheit
Step-by-step explanation:
Graph the equation y = x2 + 6x + 5 on the accompanying set of axes. You must
plot 5 points including the roots and the vertex.
Answer:
Please check the graph below.
Step-by-step explanation:
Given the function
[tex]y\:=\:x^2\:+\:6x\:+\:5[/tex]
Axis interception points of the function
x-axis interception points can be computed by setting y=0
[tex]x^2+6x+5=0[/tex]
[tex]\left(x+1\right)\left(x+5\right)=0[/tex]
Using the zero factor principle
if [tex]\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
[tex]x+1=0\quad \mathrm{or}\quad \:x+5=0[/tex]
[tex]x=-1,\:x=-5[/tex]
Hence,
x-axis interception points are: (-1, 0), (-5, 0)
y-axis interception points can be computed by setting x=0
[tex]x^2+6x+5=0[/tex]
[tex]y\:=\:\left(0\right)^2\:+\:6\left(0\right)\:+\:5[/tex]
[tex]y=0+0+5[/tex]
[tex]y=5[/tex]
Hence,
y-axis interception points are: (0, 5)
From the graph, it is clear that at (-3, -4) the parabola changes direction, hence (-3, -4) it the "vertex".
Also at the point x=-2, then y is = -3
So, all the points are labeled and the graph is attached below.
can anyone help ?????
A group of 10 peoples bought tickets to a reptile exhibit and paid a total of $130. What was the price of one ticket?
Multiply the polynomial expressions below.
(7x+5)(2x^3-4x^2+9x-3)
A. 14x^4-18x^3+43x^2+24x-15
B. 14x^4-18x^3+43x^2+24x-8
C.9x^4-11x^3+16x^2+11-8
D.9x^4-11x^3+16x^2+11x-15
Answer:
A. 14x⁴ - 18x³ + 43x² + 24x - 15
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsExpandingStep-by-step explanation:
Step 1: Define expression
(7x + 5)(2x³ - 4x² + 9x - 3)
Step 2: Expand
Distribute 7x: 14x⁴ - 28x³ + 63x² - 21x + 5(2x³ - 4x² + 9x - 3)Distribute 5: 14x⁴ - 28x³ + 63x² - 21x + 10x³ - 20x² + 45x - 15Combine like terms: 14x⁴ - 18x³ + 43x² + 24x - 15factorise
x² - 7x +10
graph an equation on the line passing through point P(0, 0) that is perpendicular to the line when y = −9x−1
Does anyone know the answer to this?
Answer:
<ABD is 73 ...work below
Step-by-step explanation:
5x + 18 + 4x +5 = 122
9x + 23 = 122
9x = 99
x = 11
no since we got x...
5(11) + 18
73
You use a pair of shoes to measure a distance. The shoes are 10 3/4 inches long. The distance is equal to the length of 12 of the shoes. What is the distance?
Answer:
10 ft 9 in
Step-by-step explanation:
If you use a pair of shoes to measure a distance and the distance is equal to the length of 12 of the shoes, the distance is 129 inches.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, the shoes are 10 3/4 inches long. The distance is equal to the length of 12 shoes.
We can utilize multiplication for a number of common tasks, such as figuring out how much it will cost to buy several identical things, calculating sales tax, and figuring out area and other geometric measurements.
The total distance according to the given condition is,
= 12 × 10 3/4 inches
= 12 × 43/4
= 129 inches
Thus, if you use a pair of shoes to measure a distance and the distance is equal to the length of 12 of the shoes, the distance is 129 inches.
Learn more about the arithmetic operation here:
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can someone please help im lost
Answer:
-146
Step-by-step explanation:
Step-by-step explanation:
putting the value f(-9) in expression
= -(-9)^2-7×(-9)-2
= 81+63-2
=142
PLEASE ANSWER BOTH!!!WILL GIVE BRAINLIEST!!!
Taylor has a collision deductible of $500 and a Bodily Injury Liability coverage limit of $50,000.
Taylor hits another driver and injures them severely.
The case goes to trial and there is a verdict to compensate the injured person for $40,000.
a) How much does Taylor have to pay?
b) How much does Taylor's insurance pay?
Answer: she will have to pay $500 and her insurances has to pay $40,000
Step-by-step explanation:
Answer: She will pay 9,000 dollars. Her insurance company will have to pay 7,000.
the median salary for new york yankees in 2008 was $1.875,000. assuming a 160 games season, express this salary in dollars per game
Answer: 11718.75 I think.
Answer:
$11,718.75
Step-by-step explanation:
If $1,875,000 is the median salary, it means that was the top salary for all the 160 games
So, the answer is simply given by:
$ (1,875,000/160)
= $11,718.75
Bruno‘s mother is eight more than twice his age. His father is three years older than his mother is. If all three members have lived a total of 94 years, how old is each family member?
Answer:
Bruno = 15 years
Mother = 8 + 2(15) = 38 years
Father = 38 + 3 = 41 years
Step-by-step explanation:
Given that :
Let
Bruno's age = x
Mothers age = 8 + 2x
Father's age = 8 + 2x + 3 = 2x + 11
x + 8 + 2x + 2x + 11 = 94
5x + 19 = 94
5x = 75
x = 75 /5
x = 15
Bruno = 15 years
Mother = 8 + 2(15) = 38 years
Father = 38 + 3 = 41 years
Please can someone help me?? I’ll give brainliest to the correct answer!!
Which situation does NOT show causation?
A) When the student population at a school increases, the number of teachers at the school increases
B) when the amount of sugar in a quart of apple juice is reduced, there are fewer calories in each serving
C) When there are more workers on a project, the project is completed in less time.
D) When there is more protein in an athlete’s diet, the athlete scores more points in a game.
Answer: D
Step-by-step explanation:
Halp, the answer is either A, B, C, or D
Answer:
D
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
y = (x + 1)(x - 2)
Distribution
Enter the number in scientific notation.
4,800,000,000,000 =
x10
Answer:
4.8 x 10^12
Step-by-step explanation:
Move the decimal to the second space so:
4.800000000000
Then count how many spaces the decimal moved so:
12
Then get rid of the 0s and add the x 10^12 so: 4.8 x 10^12.
Step-by-step explanation:
4,800,000,000,000 = 4.8 x 10^12
This is a conversion to standard form question. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Find the value of x that makes the equatlon true:
11x=143
Answer:
11(13)=143
Step-by-step explanation:
i divided 143 with 11 and got 13
your welcome for the help :D
Is 9 a possible solution for -2x + 4 ≥ -14?
Answer:
Yes
Step-by-step explanation:
-2(9)+4= -14 and -14 is equal to -14.
Miguel earns $70 washing 7 cars. At this rate, how many cars did Miguel wash to earn $110?
Answer:
11 cars
Step-by-step explanation:
If he earned 70 cars 7 that means he earned 10 dollars per car. So in order to make 110 dollars he must wash 11 cars.
Answer:
11 cars
Step-by-step explanation:
$70total/7 cars= $10 per car
$110 total/$10 per car= 11 cars
.53х^2 – .6х^3
Standard form
well, my calculator gave me 0.53x^2 - 0.6x^3 for standard form, so i hope this helps :)
A triangle has an area of 75 feet, with a base of 10 feet. What is the height?
Answer:
its 85 feet :)
please walk me through how to do this so I can di the other questions
Answer:
Axis is a vertical line at x = 2
Vertex is (2, -1)
y-intercept is (0, 3)
Solutions are x = 1 and x = 3
Step-by-step explanation:
To draw the graph of the quadratic equation you must find at least 5 points lie on the graph by choose values of x and find their values of y
Let us do that
Use x = -1, 0, 1, 2, 3, 4, 5
∵ y = x² - 4x + 3
∵ x = -1
∴ y = (-1)² - 4(-1) + 3 = 1 + 4 + 3 = 8
→ Plot point (-1, 8)
∵ x = 0
∴ y = (0)² - 4(0) + 3 = 0 + 0 + 3 = 3
→ Plot point (0, 3)
∵ x = 1
∴ y = (1)² - 4(1) + 3 = 1 - 4 + 3 = 0
→ Plot point (1, 0)
∵ x = 2
∴ y = (2)² - 4(2) + 3 = 4 - 8 + 3 = -1
→ Plot point (2, -1)
∵ x = 3
∴ y = (3)² - 4(3) + 3 = 9 - 12 + 3 = 0
→ Plot point (3, 0)
∵ x = 4
∴ y = (4)² - 4(4) + 3 = 16 - 16 + 3 = 3
→ Plot point (4, 3)
∵ x = 5
∴ y = (5)² - 4(5) + 3 = 25 - 20 + 3 = 8
→ Plot point (5, 8)
→ Join all the points to form the parabola
From the graph
∵ The axis of symmetry is the vertical line passes through the vertex point
∵ x-coordinate of the vertex point is 2
∴ Axis is a vertical line at x = 2
∵ The coordinates of the vertex point of the parabola are (2, -1)
∴ Vertex is (2, -1)
∵ The parabola intersects the y-axis at point (0, 3)
∴ y-intercept is (0, 3)
∵ x² - 4x + 3 = 0
∵ The solutions of the equation are the values of x at y = 0
→ That means the intersection points of the parabola and the x-axis
∵ The parabola intersects the x-axis at points (1, 0) and (3, 0)
∴ Solutions are x = 1 and x = 3
The vertices of a triangle are A (-2, 2), B (4,10), and C (0, -2). Find the equation of the line that contains
the median through point
The equation of the line is y =________
Answer:
y = 1/2 x + 3
Step-by-step explanation:
mid point of line BC = (2, 4)
slope of the line containing median (m) = 1/2
y intercept (b)= 3
since y = mx + b
y = 1/2x + 3
The median of a triangle is the line segment joining the any of the vertex to the mid-point of the opposite side of that vertex. The equation of the median through point A is given by y = 1/2x + 3.
What is a Median ?A median of a triangle is a line segment joining one of the vertex of the triangle to the mid-point of the opposite side.
The median of an equilateral triangle also an angular bisector.
Given that,
The coordinates of A = (-2, 2)
The coordinates of B = (4, 10)
The coordinates of C = (0,-2)
Thus the coordinate mid-point of BC is given by (4+0)/2,(10-2)/2 = (2,4).
Now, to find the equation of median through A there are two points (-2,2) and (2,4).
Thus the equation of median an be written as,
(y-2)/(x+2) = (4-2)/(2-(-2))
=> y - 2 = 1/2(x+2)
=> y = 1/2(x+2) + 2
=> y = 1/2 x + 3
Hence, the equation of the line is y = 1/2 x + 3.
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