Answers
The student is correct because we can factorize x² - x - 56 to get (x - 8)(x + 7).
How to Factorize an Expression?
In order to determine if -56 is the integer that can replace the box in the expression, we can try to factorize the expression and see if it works.
Factorize x² - x - 56 using the sum-product pattern:
x² - x - 56
Take out the common factors from each pair:
(x² + 7x) - (8x - 56)
x(x + 7) -8(x + 7)
Rewrite in factored form:
(x - 8)(x + 7)
Thus, this shows that the student is correct.
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Related Questions
help finding arc of a circle geometry problem
Answers
Find the original slope of (-6,-1) and (0,3)
Answers
Answer:
slope (m) = 2/3
Step-by-step explanation:
slope = change in x /change in y
Also, slope is y2 - y1 / x2 -x1. That is what I apply for this activity, hence:
slope = 3 - (-1) / 0 - (-6)
= 3 + 1 / 0 + 6
= 4 / 6
= 2/3
∴ slope(m) = 2/3
Suppose that, starting at a certain time, batteries coming off an assembly line are examined one by one to see whether they are defective (let D = defective and N = not defective). The chance experiment terminates as soon as a nondefective bettery is obtained.a. Give five possible outcomes for this chance experiment.b. What can be said about the number of outcomes in the sample space?c. What outcomes are in the event E, that the number of battery examined is an number?
Answers
Answer:
a. Possible outcomes for this chance experiment are:
NDNDDNDDDNDDDDN(Here, D means a defective battery, and N means a nondefective battery.)
b. The number of outcomes in the sample space is infinite, as the experiment could potentially continue indefinitely. However, in practice, we can define a maximum number of batteries that could be examined before the experiment is stopped.
c. The event E, that the number of batteries examined is a number, would include outcomes where the experiment stopped at a particular number of batteries. For example, if the experiment stopped after examining three batteries (i.e., the fourth battery was nondefective), then the outcome would be DDDN, and it would be included in event E. However, outcomes where the experiment continued indefinitely (e.g., DDDDD...) would not be included in event E.
answer so I can give you brainliest.
Answers
Answer:
no
Step-by-step explanation:
HELPP!!!
The area of the figure is ____ square units.
Answers
Answer:
The answer is 132 square units
Step-by-step explanation:
Cutting the shape
we have two trapeziums
A=(area of small +Area of big)Trapezium
A=1/2(3+9)8 + 1/2(9+12)8
A=1/2×12×8 + 1/2×21×8
A=12×4 + 4×21
A=48+84
A=132 square units
the area of a square is seasonal 25 cm Square calculate the length of a diagonal to one decimal place .
Answers
Answer:
The answer is 7.1cm to 1d.p
Step-by-step explanation:
Area of square =L²
25=L²
√L²=√25
L=5cm
hyp²=opp²+adj²
x²=5²+5²
x²=25+25
x²=50
√x²=√50
x=7.1cm to 1d.p
I NEED HELP!! I'll give you brainliest!! A high school wants to expand its P.E. schedule. To better understand the needs of the students, the principal looked at which forms of exercise are preferred by the 18 students in the sample group.The Venn Diagram shows this information be gathered.a. How many students preferred swimming over running or walking?b. How many students choose running or walking?c. Which students preferred swimming and walking, but not running
Answers
Answer:
a. Three students preferred swimming over running and walking.
b. Fourteen students chose running or walking.
c. Alex and Jose preferred swimming and walking, but not running.
pleaseeeee helpppppp
Answers
What is the following sum?
5(3squareroot x) +9 (3squareroot x)
Answers
\(\sf{14(\sqrt[3]{x}) }\)
Step-by-step explanation:
\(5(\sqrt[3]{x})+9(\sqrt[3]{x})\\\\(5+9)(\sqrt[3]{x})\\\\14(\sqrt[3]{x})\)
A sphere is pictured below. Select the type of cross section formed when the figure is cut by a horizontal plane.
A) circle
B) triangle
C) hexagon
D) rectangle
Answers
Answer:
A) circle.
When a sphere is cut by a horizontal plane, the resulting cross section is a circle. This is because a sphere is a three-dimensional object that is perfectly symmetrical in all directions, so any plane that intersects it will create a circular cross section.
Answer:
the answer is A) circle.This is a picture of a cube and the net for the cube.
What is the surface area of the cube?
Responses
30 cm²
30 cm²
70 cm²
70 cm²
125 cm²
125 cm²
150 cm²
150 cm²
A cube and a net of the cube are shown. The edge length of the cube is labeled 5 centimeters. The net consists of 4 squares connected vertically, and 1 square is attached to the left of the third square and 1 square is attached to the right of the third square. One square in the net is labeled with a side labeled 5 centimeters.
Answers
The surface area of the cube is 1536 ft².
We have,
The cube can be seen as 6 square areas in the net.
So,
The surface area of the cube.
= 6 x area of one square surface.
Now,
Side = 16 ft
Area of one square surface.
= side²
= 16²
= 256 ft²
Now,
The surface area of the cube.
= 6 x area of one square surface.
= 6 x 256
= 1536 ft²
Thus,
The surface area of the cube is 1536 ft².
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Rotate the given triangle 270°
counter-clockwise about the
origin.
3 6 3
-3 3 3
2
Answers
Answer: It goes from this to this...
3 6 3 -3 3 3
-3 3 3 -3 -6 -3
Step-by-step explanation:
this is for people on acellus.
Please help!!!! I stuck in this
Answers
It is asking for the sum of 1 mechanical pencil and 2 times regular pencil.
!!HELP MEEE!!!
What is the length of PQ?
14 units
17 units
27 units
34 units
Answers
The length of the line segment AB is 5 units.
Unfortunately, you haven't provided any information about PQ such as its location or any other data to help solve the question.
Therefore, it's impossible to determine the length of PQ using the given options. However, here is an explanation of how to find the length of a line segment using the distance formula, which may help you in solving similar questions in the future.
The distance formula is used to find the distance between two points in a coordinate plane, such as the length of a line segment. The formula is:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
where d is the distance, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
To use the distance formula, you first need to find the coordinates of the two points that make up the line segment. Then, substitute these coordinates into the formula and simplify to find the distance.
For example, let's say you have two points: A(1, 2) and B(4, 6), and you want to find the length of the line segment AB. Using the distance formula:
d = √((4 - 1)² + (6 - 2)²)
d = √(3² + 4²)
d = √(9 + 16)
d = √25
d = 5
Remember, the distance formula can be applied to any two points in a coordinate plane to find the distance between them.
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Aaliyah owns a small textile company that produces shirts. On a particular day, Aaliyah has one worker come into the shop to make shirts. She must pay the worker $28 per hour and also pay $2 per shirt for material costs. The worker created an average of 4 shirts per hour and Aaliyah's total expenses for labor and materials were $144. Write a system of equations that could be used to determine the number of hours the worker worked and the number of shirts the worker made. Define the variables that you use to write the system.
two equations, one for one variable, one for the other
Answers
The system of equations that could be used to determine the number of hours the worker worked and the number of shirts the worker made is 28x + 2(4x) = 144
How to explain the equationsLet x be the number of working hours
She must pay the worker $28 per hour
So, the Cost of labor for x hour = 28x
The worker created an average of 4 shirts per hour.
So, the number of shirts produced in x hours = 4x
Cost of 1 shirt = 2
Cost of 4x shirts = 2 (4x)
Total expenses for labor and materials = 28x + 2(4x)
We are given that Aaliyah's total expenses for labor and materials were $144
So, 28x + 2(4x) = 144
28x + 8x = 144
x = 4
Hence a system of equations is illustrated
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3/4-1/2 find the different
Answers
Answer:
1/4
Step-by-step explanation:
3/4-1/2=
you must multiply the denominator and numerator of 1/2 by 2 to get your common denominator.
3/4-2/4=
1/4
What are the last two digits of 7^1867?
Answers
Considering that the powers of 7 follow a pattern, it is found that the last two digits of \(7^{1867}\) are 43.
What is the powers of 7 pattern?The last two digits of a power of 7 will always follow the following pattern: {07, 49, 43, 01}, which means that, for \(7^n\), we have to look at the remainder of the division by 4:
If the remainder is of 1, the last two digits are 07.If the remainder is of 2, the last two digits are 49.If the remainder is of 3, the last two digits are 43.If the remainder is of 0, the last two digits are 01.In this problem, we have that n = 1867, and the remainder of the division of 1867 by 4 is of 3, hence the last two digits of \(7^{1867}\) are 43.
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Help me with my review please
Answers
Answer:
HL
Step-by-step explanation:
PLSSS ANSWER I DONT HAVE LOTS OF TIMEEE!!?!?!?!?!?!??!??!??! Three families took a vacation to Phoenix. The Abbott Family spent $840 on four nights at their hotel and three airline tickets. The Baker Family spent $1,130 on nine nights at their hotel and two airline tickets. The Carson Family spent $2,080 on six nights at their hotel and five airline tickets. Two of the families paid the same price per night at their hotel and per airline ticket.
Which two families would have had to pay the same price per night at their hotel and per airline ticket to have the largest possible nightly hotel cost?
A.
the Abbott and Baker Families
B.
the Abbott and Carson Families
C.
the Carson and Baker Families
D.
all three families would have to pay the same price
Answers
Answer:
c
Step-by-step explanation:
both of the familys have higher cost and have to stay longer
Find the value of t for a t-distribution with 45 degrees of freedom such that the area to the right of t equals 0.010. Round your answer to three decimal places, if necessary.
Answers
The value of t for a t-distribution with 45 degrees of freedom such that the area to the right of t equals 0.010 is approximately -2.326.
With its bell-shaped structure and heavier tails, the t-distribution, commonly referred to as the Student's t-distribution, is a kind of probability distribution that resembles the normal distribution. When there are insufficient samples or unknown variances, it is used to estimate population parameters. T-distributions have broader tails than normal distributions because they are more likely to contain extreme values.
To find the value of t for a t-distribution with 45 degrees of freedom such that the area to the right of t equals 0.010, we can use a t-table or a calculator. Using a calculator, we can use the inverse t-distribution function. The inverse t-distribution function gives us the value of t for a given probability and degrees of freedom.
Using this function, we have:
t = invT(0.010, 45) ≈ -2.326
Rounding this to three decimal places gives us the answer:
t ≈ -2.326
Therefore, the value of t for a t-distribution with 45 degrees of freedom such that the area to the right of t equals 0.010 is approximately -2.326.
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Ethan got his first job and is making $8.50 an hour. He really wants to buy a couple of video games, so he is trying to estimate how much his paycheck will be. The first week Ethan works, he gets 18 hours. The second week Ethan works, he gets 25 hours. If Ethan pays 10% federal income tax and 2% state income tax, what can he expect to bring home in his first paycheck?
Answers
If Ethan got his first job and is making $8.50 an hour. He really wants to buy a couple of video games, so he is trying to estimate how much his paycheck will be. The amount he can expect to bring home in his first paycheck is: $321.64.
PaycheckTotal hours=18 hours+25 hours
Total hours=43 hours
Income tax=Federal income tax+ State income tax
Income tax=10%+2%
Income tax=12%
Hence,
First paycheck:
First paycheck=$8.50×43 hours×(1-12%)
First paycheck=$8.50×43 hours×0.88
First paycheck=$321.64
Therefore if Ethan got his first job and is making $8.50 an hour. He really wants to buy a couple of video games, so he is trying to estimate how much his paycheck will be. The amount he can expect to bring home in his first paycheck is: $321.64.
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What is the quotient of 1.232 x 10^8 and 3.85 x 10^5 expressed in scientificnotation?
Answers
The quotient of the numbers are:
\(\frac{1.232\times10^8}{3.85\times10^5}\)Recall the quotient of powers property which states that for a real number a and integers x and y, the following is true:
\(\frac{a^x}{a^y}=a^{x-y}\)Divide the numbers (1.232÷3.85) and apply the quotient of powers property to the powers:
\(0.32\times10^{8-5}=0.32\times10^3=3.2\times10^2\)The quotient expressed in scientific notation is:
\(3.2\times10^2\)A jar has marble ms in these three colors only: 7 green, 10 blue, 3 red.
What is the probability of randomly choosing a green marble, after choosing (and keeping) a red marble?
Answer with a percentage rounded to the nearest tenth.
Answers
The probability of randomly choosing a green marble after you have chosen red is 4.4%
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
Given
A jar has 20 marbles: 3 green, 12 blue, 5 red.
Probability;
In probability theory, an event is a set of outcomes of an experiment or a subset of the sample space.
The total number of marbles = 20
The number of green marbles= 3
The number of blue marbles = 12
The number of red marbles = 5
The probability of choosing a red marble = Number of red marbles / Total number of marbles
= 5/20
The probability of choosing a green marble is = Number of green marbles / New total number of marbles
= 3/19
Therefore,
The probability of randomly choosing a green marble after you have chosen red is;
= 5/20 * 3/19
= 3/68
percentage = 3/68 * 100 = 4.4%
Hence, the probability of randomly choosing a green marble after you have chosen red is 4.4%
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Karl earns $8.15/hr. How much will he be paid this week?
Answers
7 day = 24 x 7 = 168 hours
8.15 x 168 = 1369.2
Ans:- $1369.2
which cost the most per ounce 60 ounces of peanutt butter for 5.40,28 ounces for 2.24 or 16 ounces for 1.1.76
Answers
Answer:
The 16 ounces at 1.76.
Step-by-step explanation:
Divide total cost by the quantity to get cost per unit.
Ounces Cost Cost/Ounce
60 5.40 0.09
28 2.24 0.08
16 1.76 0.11
(a) A yoga instructor collected student data. She found that students who had less sleep did not tend to burn more or fewer calories
during class. What can she conclude?
There is no correlation between amount of sleep and number of calories burned.
There is a correlation between amount of sleep and number of calories burned. There may or may not be causation. Further studies would
have to be done to determine this.
There is a correlation between amount of sleep and number of calories burned. There is probably also causation. This is because there is likely
an increase in the number of calories burned with an increase in the amount of sleep.
Answers
Answer:
The answer is ( A) -There is no correlation between amount of sleep and number of calories burned
Step-by-step explanation:
i got it nevermind!!!! dont need help
Answers
The Vales of x in the equations are : 1) 3 (2) 1 (3) 5 (4) 14 (5) 10 respectively
How to solve an equation?A linear equation in one variable is that in which the highest power of its variable is 1
The given equations and their solutions are
2x +1 = 7
By collecting like terms we have
2x = 3
x = 3
2) The given equation is 4x +7 = 11
By collecting like terms we have
4x = 4
Making x the subject we have
x = 1
3) 2x -3 = 7
By collecting like terms we have
2x = 10
Making x the subject we have
x = 5
4) 1/2 x - 3 = 7
By collecting like terms we have
1/2x = 7
x= 14
5) The given equation is 3x - 11 = 19
By collecting like terms we have
3x= 30
Therefore x= 10
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what dose 2 + 2 = ?????????
Answers
Answer: 4
Step-by-step explanation:
Just add
Answer:
4
Step-by-step explanation:
just add or if you can't then use a calculator
if f(x)=6x-9, find f(4)
Answers
Answer:
15
Step-by-step explanation:
f(x)=6x-9
so nw x value give 4,
substitute x value with 4
f(4)=6(4)-9
=19
A function assigns the values. The value of the f(4) will be equal to 15.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
For the given function f(x)=6x-9, therefore, the value of f(4) can be written as,
f(x) = 6x - 9
f(4) = 6(4) - 9
f(4) = 24 - 9 = 15
Hence, the value of the f(4) will be equal to 15.
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Which property is used in the following calculation?
2(5⋅33)
(2⋅5)⋅33
10(33)
330
A Associative Property of Multiplication
B Identity Property of Multiplication
C Distributive Property
D Commutative Property of Multiplication
E None of these
Answers
The property used here is the associative property of Multiplication.
What is the Associative Property?According to the Associative property, when 3 or more numbers are added or multiplied, the result (sum or the product) remains the same even if the numbers are grouped in a different way. Here, grouping is done with the help of brackets. This can be expressed as, a × (b × c) = (a × b) × c and a + (b + c) = (a + b) + c.
Given here: 2(5⋅33)=(2⋅5)⋅33
=10(33)
=330
Clearly the property a × (b × c) = (a × b) × c is used here
Hence, The property used here is the associative property of Multiplication.
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