The quadratic equation is y = x^2 - x - 6
How to use the zero product property to create a quadratic equation?The given parameters are
x-intercepts: x=-1 and x=3
Rewrite properly as
x1 = -2 and x2 = 3
By zero product property, the quadratic equation is
y = (x - x1) * (x - x1)
This gives
y = (x + 2) * (x - 3)
Expand
y = x^2 + 2x - 3x - 6
Evaluate the difference
y = x^2 - x - 6
Hence, the quadratic equation is y = x^2 - x - 6
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the gram is a measure of_____ because ____?
The gram is a measure of Mass because weight that is used especially in the centimeter-gram-second system of measurement
gram (g), also spelled gram, unit of Mass or weight that is used especially in the centimeter-gram-second system of measurement (see International System of Units).
Mass is the quantity of matter in a physical body. it's also a measure of the body's inertia, the resistance to acceleration (change of velocity) when a net force is applied. An object's mass also determines the strength of its gravity to other bodies.
The SI base unit of mass is the kilogram (kg). In physics, mass isn't the same as weight, although mass is often determined by measuring the object's weight using a spring scale, instead of a balance scale and comparing it directly with known masses. An object on the Moon would weigh but it does on Earth because of the lower gravity, but it might still have the same mass. this is often because weight is a force, while mass is the property that (along with gravity) determines the strength of this force.
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Select all expressions below that are equivalent to (25/50)^15
A. (25^15/50^15)
B. 25^15/50
C. (50/25)^-15
D. (0.5)^15
E. 2^15
F. (25^5/50^5)^3
(hint: 4 of them are correct)
.
Solve w .you must write your answer in fully simplified form
12=15w
The shortest side of a triangle is 10 feet shorter than the Longests side. The middle side is 5 feet shorter than the longest side. Find the sides of this triangle if the perimeter is 255 yards. Round to one decimal place if needed.
The length of the longest side is 90 feet, length of the shortest side is 80 feet and the length of the middle side is 85 feet.
Given, the shortest side of a triangle is 10 feet shorter than the Longest side. The middle side is 5 feet shorter than the longest side.
let the longest side be x feet.
shortest side be x ₋ 10 feet.
middle side be x ₋ 5 feet.
the perimeter of the triangle is 255 feet.
a ₊ b ₊ c = 255
x ₊ x ₋ 10 ₊ x ₋ 5 = 255
3x ₋ 15 = 255
3x = 255 ₊ 15
3x = 270
x = 270/3
x = 90
substitute x value in : x ₋ 10
hence the length of the shortest side is 90 ₋ 10 = 80 feet.
similarly, x ₋ 5 = 90 ₋ 5 = 85 feet is the length of the middle side.
hence we get the desired results.
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Find the distance between the two points
(-1,1)
(2,-4)
✓ [?]
Enter the number that
goes beneath the
radical symbol.
Enter
The distance between the two points is √ [37]
given,
A(-4,1) ; B(2,0)
For the distance,
d(A,B) = √(x B - x A)² + (y B - y A)²
d(A,B) = √(2+4)² + (0-1)²
= √6² + 1² = √36 + 1
= √37
therefore the distance between the two point is √37.
Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.
We can apply the Pythagoras theorem to derive the distance between two points formula. We can take the line joining the two points as the hypotenuse of a right triangle formed in the cartesian plane. The length of the hypotenuse can be calculated using the Pythagorean theorem and the given coordinates of two points to derive the distance between two points formula.
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help help help.......
The coordinates of M are(_,_)and the perimeter of Triangle MOl is__
units. For the perimeter, round your solution to the nearest tenth of the exact value.
Distance between the two (x₁, y₁) and (x₂, y₂) coordinates are-
d = √[(x₁ - x₂)² + (y₁ - y₂)²]
The coordinates of M taken from the graph are -
M = (1.5, 3)
Now, for calculating the perimeter of triangle MOI is-
First find the distance between points O and I.
O = (0, 0) and I = (3, 0)
OI = √[(3 - 0)² + (0 - 0)²]
OI = 3 units.
The distance between MI;
MI = √[(3 - 1.5)² + (0 - 3)²]
MI = √[(1.5)² + (-3)²]
MI = √(2.25 + 9)
MI = 3.35 units
Now, find distance between OM
MO = √[(1.5 - 0)² + (3 - 0)²]
MO = √[(1.5)² + (3)²]
MO = √(2.25 + 9)
MO = 3.35 units
Thus, the perimeter of the triangle MOI is;
Perimeter = OI + MO + MI
= 3 + 3.35 + 3.35
Perimeter = 9.7 units.
Thus, the perimeter of the Triangle MOI is 9.7 units.
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34. La información nutrimental de
cierto pan dulce señala que una
porción equivale a 7 g. ¿A cuánto
equivale "peso neto", en onzas?
Considera 1 onza (oz) = 28.3 g
Answer:
7 gramos = 0,247 onzas
Explanation
Fórmula
para obtener un resultado aproximado, divida el valor de la masa por 28,35
7 ÷ 28,35
= 0.247 onzas
HELP PLEASEEEEE!!!!!!
Answer:
Step-by-step explanation:
(0.1)²=0.01
(0.2)²=0.04
(0.3)²=0.09
(0.4)²=0.16
(0.5)²=0.25
(0.6)²=0.36
(0.7)²=0.49
(0.8)²=0.64
√0.5 or √0.50 is between √0.49 and √0.64
or
0.7 and 0.8
(0.01)²=0.0001
(0.02)²=0.0004
(0.03)²=0.0009
(0.04)²=0.0016
(0.05)²=0.0025
so √0.002 or √0.0020 is between √0.0016 and √0.0025
or between 0.04 and 0.05
Evaluate ƒ(x) = 3x + 8 for x = 1.
Answer:
f(1) = 11
Step-by-step explanation:
ƒ(x) = 3x + 8 for x = 1.
f(1) = 3(1) + 8
f(1) = 3+ 8
f(1) = 11
I hope this helps!
How many cookies will Tanya have if she bakes
12 more batches?
y = 70 + 18(x)
Enter the correct answer.
000
?
DONE
Tanya will then have 286 cookies after baking 12 more batches.
What is the linear equation formula?A linear equation's slope-intercept form is y = mx + b. The variables in the equation are x as well as y. The integers m and b represent the the line's slope (m) and the value of y when x is 0 respectively (b). Because (0,y) is the point when the line crosses the y-axis, the value of y when x is 0 is known as the y-intercept.
Which equations are linear?A linear equation with one variable is one with only one variable. It has the formula Ax + B = 0, where A and B can be any two real numbers as well as x is an unknown variable with a single solution. 9x + 78 = 18, for example, is a one-variable linear equation.
According to the given data:y = 70 + 18(x)
x = 12 batches.
substituting the value in the equation:
y = 70 + 18(x)
y = 70 + 18(12)
= 70 + 216
y = 286.
Tanya will then have 286 cookies after baking 12 more batches.
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Indicate type of fraction: 10/9
This fraction is an improper fraction.
In improper fractions, the numerator is greater than the denominator
4. The sum of three consecutive odd integers
is 189. What are the
integers?
Answer:
61,63,and 65
Step-by-step explanation:
61+63+65=189
EASY POINTS || 10 POINTS || 7TH GRADE || PROPORTIONAL RELATIONSHIPS ||
(answer reported if incorrect)
Based on the fact that Shannon has created 4 levels for her game after 8 weeks, the equation for the relationship between x and y is y = 2x
What is the proportional relationship?y is used to denote the number of weeks it takes to program the number of levels which is 8 weeks.
x is the number of levels that Shannon would have made for the game which is 4 levels.
The relationship between y and x is:
= y / x
= 8 weeks / 4 levels
= 2 weeks per level
The relationship can then be shown as:
y = 2x
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Prove that :-
[tex] \quad \leadsto \quad \bf \zeta ( z ) = \displaystyle \bf \sum_{\bf n=1}^{\infty} \bf \dfrac{1}{n^x} \cdot e^{-iy \cdot log ( n )} [/tex]
Where , z = x + yi
Riemann Hypothesis :)
We have
[tex]e^{-iy \log(n)} = e^{\log(n^{-iy})} = n^{-iy}[/tex]
and
[tex]\dfrac1{n^x} \cdot e^{-iy \log(n)} = \dfrac{n^{-iy}}{n^x} = \dfrac1{n^{x+iy}} = \dfrac1{n^z}[/tex]
The sum
[tex]\displaystyle \sum_{n=1}^\infty \frac1{n^z}[/tex]
is exactly the definition of the Riemann zeta function [tex]\zeta(z)[/tex].
20(1/2x-2)+40(3/4y-4)
1.1. Describe, explain and give examples of three important mathematical ideas:
(a) prime numbers (3)
(b) rational numbers (3)
(c) irrational numbers (3
Answer:
=The numbers which donot have factors and can be only divided by themselves are know as prime numbers.Eg: 2,3,5,7
= A number that can be represented as the quotient p/q of two integers such that q ≠ 0 are known as rational numbers. Eg 4/8,5,-10
=An irrational number is a number that cannot be expressed as a fraction for any integers.Eg -0.25,3.5
Round 2,159 to the nearest hundred
Answer: 2200
Hope it helps!
Complete the truth table for the statement ~Q ^ P.
A truth table is a breakdown of a logic function by listing all possible values the function can attain.
This tool generates truth tables for propositional logic formulas. You can enter logical operators in several different formats. For example, the propositional formula p ∧ q → ¬r could be written as p /\ q -> ~r, as p and q => not r, or as p && q -> !r. The connectives ⊤ and ⊥ can be entered as T and F.
P Q (Q ∧ P)
F F F
F T F
T F F
T T T
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The length of a rectangular photograph is 9 in more than the width. If the area is 90 in2, what are the dimensions of the photograph?
Part 1 of 2
The photograph is
Part 2 of 2
The photograph is
in wide.
in ng.
X
X
MacBook Air
Submit Assignm
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Accessa
The photograph is 6 inches wide and 15 inches long.
Jay rides his bike 634 miles in 13 hour.
What is his average speed?
Answer:
49 mile per hour
Step-by-step explanation:
Divide 634 miles by 13 hours to get 48.7, which we can round to the nearest mile (49) to match the significant digits in the problem.
A marching band uses a grid to determine the members positions. Juan starts at (2,2). Every 15 seconds, he moves 4 yards east and 3 yards north.
After 15 seconds Juan moves (6, 5).
In the given question,
given that,
A marching band uses a grid to determine the members’ positions.
Juan starts at (2, 2).
Every 15 seconds, he moves 4 yards east and 3 yards north.
2 + 4 = 6.
2 + 3 = 5.
so after 15 seconds Juan moves (6, 5).
Hence we get the (6,5) as the main answer.
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A glass pitcher contains 65 ounces of juice which is poured equally into six glasses. How many ounces of juice does each glass contain?
Answer: 10.83334 ounces or 10 5/6
Step-by-step explanation:
Essentially you would divide 65 into six groups. Because you are dividing the amount of liquid into six cups. Hope this answers your question, ask me any other questions you might have.
The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 57 A, 26 B, and 37 C responses. Show the frequency and relative frequency distributions
Here is a table that shows the frequency and the relative frequency distributions:
Class Frequency Relative frequency
A 57 0.475
B 26 0.217
C 37 0.308
Total 120 1
What is the frequency and relative frequency?Frequency measures the number of times a response is observed in a dataset. For example, the frequency of A is 57. Relative frequency measures how often a value appears relative to the sum of the total values. The sum of relative frequency is equal to 1.
Relative frequency = frequency / total frequency
A = 57 / 120 = 0.475
B =26 / 120 = 0.217
C = 37 / 120 = 0.308
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An inlet pipe can fill Reynaldo's pool in 5 hours, while an outlet pipe can empty it in 8 hours. In his haste to surf the internet, Reynaldo left both pipes open. If he discovered his error after an hour-long surf and closed the outlet pipe, how much longer would be needed to fill the pool?
Answer:
4.625 hours
Step-by-step explanation:
Since it takes 5 hours for the inlet pipe to fill the pool, just using the inlet pipe alone will fill [tex]\frac{1}{5}[/tex] of pool in 1 hour
Since it takes 8 hours for the outlet pipe to empty the pool, just using the outlet pipe alone will empty [tex]\frac{1}{8}[/tex] of pool in 1 hour
Let us assume the pool capacity is 40 gallons
We choose 40 because it is the LCM of 5 and 8 so we can get integer values
Inflow rate = 40/5 = 8 gal per hour
Outflow rate = 40/8 = 5 gal per hour
Net rate = 8-5 = 3 gal per hour if both pipes are open
In one hour with both pipes open, the pool will have 3 gallons of water. Therefore remaining water to fill the pool is 40-3 = 37 gallons
After 1 hour, the outlet pipe is closed and only inlet pipe is open. Therefore inflow rate is 8 gal/hour and outflow rate is 0 gal/hour
So net inflow rate = 8 - 0 = 8 gal/hour
To fill 37 gallons using this rate would be 37/8 = 4.625 hours
Decide which of the two given prices is the better deal.
The same kind of water is sold in two types of bottle. Which type has the lower unit price?
Five 10-oz bottles for $2.30
Seven 12-oz bottles for $4.20
Select one:
A.
not enough information
B.
Five 10-oz bottles
C.
equal value
D.
Seven 12-oz bottles
Five 10-oz water bottles will have a lower unit price. The correct option is B.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that there are two conditions for water bottles Five 10-oz bottles for $2.30 and Seven 12-oz bottles for $4.20. The water bottle having the lower price will be:-
Five 10-oz bottles = $2.30
One 10- oz bottle = 2.30 / 5 = $0.46
Seven 12-oz bottles = $4.20
One 12-oz bottles = $4.20 / 7 = $0.6
Therefore, five 10-oz water bottles will have a lower unit price. The correct option is B.
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Solve the inequality: r divided by negative 3.5 is greater than 9.1 for r.
A: r < −31.85
B: r > −31.85
C: r < −2.6
D: r > 2.6
The solution to the inequality, r/-3.5 > 9.1 is: A: r < −31.85.
How to Solve an Inequality?Just like a normal algebraic equation is being solved, so is an inequality. An inequality is solved by finding the value of the variable that makes the inequality true.
Given the inequality, r/-3.5 > 9.1, follow the steps below to find the possible values of r in the inequality:
r/-3.5 > 9.1
Multiply both sides by -3.5, then change the inequality sign ">" to "<" since we are dividing by a negative number:
r/-3.5(3.5) < 9.1(-3.5) (multiplication property of equality)
r < −31.85
Therefore, the solution to the inequality, r/-3.5 > 9.1 is: A: r < −31.85.
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Answer:
a
Step-by-step explanation:
What is the range equation
Change
69
7
to a mixed number
Answer:
9 6/7
This is the answer
A table with 1 column. The column has a header of "Scores" with the following numbers: 56, 82, 90, 83, 79, 59, 71, 66, 53, 94, 78, 80, 67, 65, 86, 76, 83, 92, 69, 69, 91, 68, 78, 87, 87, 81, 87, 76, 96, and 83.
Based on the scores given in the table, the mean of the scores can be found to be 78
How to find the mean?The mean of the scores can be found by adding all the scores together and then dividing the sum by the number of scores in the table.
The sum of the scores is:
= 56+ 82 + 90 + 83 + 79 + 59 + 71 + 66 + 53 + 94 + 78 + 80 + 67 + 65 + 86 + 76 + 83 + 92 + 69 + 69 + 91 + 68 + 78 + 87 + 87 + 81 + 87 + 76 + 96 + 83
= 2,332
The mean is:
= 2,332 / 30
= 77.73
= 78
Question is:
What is the mean of the scores?
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