Answer: a is a rational number
Step-by-step explanation
Rational numbers are written in p/q form.
What is the solution to the inequality –5(x + 1) ≤ 15?
plz help
Answer:
x≥-4
Step-by-step explanation:
-5(x + 1) ≤ 15
-5x-5≤ 15
-5x≤20 5 was added on both sides
x\(\geq\)-4 divided by -5 on both sides and since we divided by a negative
number, the inequality sign was flipped
Answer:
Step-by-step explanation:
5(x + 1) ≤ 15
In order to solve this linear inequality, we need to group all the variable terms on one side, and all the constant terms on the other side of the inequality.
In our example,
- term 5, will be moved to the right side.
Notice that a term changes sign when it 'moves' from one side of the inequality to the other.
answer quick pleaseee
Answer:
second one!
Step-by-step explanation:
PLEASE HELPPP
It’s a test
Answer:
D' = (1, 3)
T' = (-5, 3)
Q' = (-5, -9)
E' = (1, -9)
Step-by-step explanation:
To flip the house along a line going southwest-northeast through the center of the property, we can reflect the points across the line y = -x.
To reflect a point across a line, we can use the formula:
(x', y') = (xcos(2θ) + ysin(2θ), ycos(2θ) - xsin(2θ))
where θ is the angle between the x-axis and the line of reflection.
In this case, the line of reflection is y = -x, which has an angle of 45 degrees with the x-axis. Therefore, we have:
cos(2θ) = cos(90) = 0
sin(2θ) = sin(90) = 1
So the formula simplifies to:
(x', y') = (-y, -x)
Using this formula for each of the four corners of the house, we get:
D' = (-(-1), -(-3)) = (1, 3)
T' = (-(5), -(-3)) = (-5, 3)
Q' = (-(5), -(9)) = (-5, -9)
E' = (-(-1), -(9)) = (1, -9)
Therefore, the coordinates of the corners after the flip are:
D' = (1, 3)
T' = (-5, 3)
Q' = (-5, -9)
E' = (1, -9)
I hope this helps, I'm sorry if it didn't. I hope you do good on your test. If you need more help, ask me! :]
3.1.1 How can you tell the difference between the debits and the credits in this bank statement?
3.1.2 List any two fixed debits and any two flexible debits for the month
3.1.3 Look at the balance column to work out the value of A, the opening balance before her salary was paid in
3.1.1
Answer:
Debits and credits are used to monitor incoming and outgoing money in your business account. In a simple system, a debit is money going out of the account, whereas a credit is money coming in. However, most businesses use a double-entry system for accounting. This can confuse inexperienced business owners, who see the same funds used as a credit in one area but a debit in the other.
Double-Entry Accounting
When you look at your business finances, there are two sides to every transaction. This means that the rent is one account with a balance due and the business checking is another account that pays the balance due. So the same money is flowing but is accounting for two items. The double-entry system creates a chart of accounts. These include items such as rent, vendors, utilities, payroll, and loans.
3.1.2
Fixed Debit or Fixed debt:
A fixed debt or installment loan is generally one in which a borrower makes regular payments, where the debt has a beginning date, an end date, a fixed interest rate, and a fixed monthly fee (most installment loans are paid monthly). In other words, they adhere to a set amortization schedule. The interest on these type of loans are generally not tax deductible like mortgage loans and therefore are considered consumer debt. While many fixed-rate mortgages are fixed debts we have separated them since fixed debts outside of mortgages are considered consumer debt.
Types of fixed debts:
Automobile loansLoans on Recreation Vehicles, Boats, Motorcycles, etc.Furniture loans (if set payment, not on a credit card)Appliance loansDebt Consolidation loansStudent LoansFlexible Debit Card :
The flexible Debit card is highly favorable and the most popular transaction account. With the Flexi Debit card linked to several Postbank Savings and Investment Products, the Flexi Debit card offers you Transactional flexibility and freedom.
One can deposit your salary into the account and withdraw the money as and when needed. You can also use it for shopping instead of carrying cash.
Any type of debit card is a flexible debit card
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Select the choice that translates the following verbal phrase correctly to algebra:
the product of 12 and y increased by 11
12(y + 11)
12y + 11
12 + 11y
12(11y)
Given f(x) = x² - 5x - 6 and g(x) =
x² - 6x, what are the domain restrictions
for (-)(x)?
A) x # +6
B) x = 0
C) x = 0,6
D) x = -2,6
The domain restrictions for (f/g)(x) are (c) x = 0, 6
How to determine the domain restrictions for (f/g)(x)?From the question, we have the following parameters that can be used in our computation:
f(x) = x² - 5x - 6
g(x) = x² - 6x
The composite function (f/g)(x) is calculated as
(f/g)(x) = f(x)/g(x)
substitute the known values in the above equation, so, we have the following representation
(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)
For the domain restriction, we have
x² - 6x = 0
When solved, we have
x = 6 or x = 0
Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6
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Question
Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions
for (f/g)(x)?
A) x = +6
B) x = 0
C) x = 0,6
D) x = -2,6
Help please asap................
Answer:
Linear pair
Step-by-step explanation:
<1 and <2 lie on a straight line.
Angles that lie on a straight line are considered as linear pair angles.
Linear pair angles sum up to 180°, which is the measure of a straight line angle.
Graph the linear equation. Find three
points that solve the equation, then
plot on the graph.
3x - 4y = -18
=
Use the following unit fractions to express 195 miles per hour in feet per second.
5280 ft 60 min
60 sec
1 mi
1 hr
1 min
195 mi
hr
ft
sec
1
and
(Simplify your answer.)
Answer:195 miles per hour is approximately 286.67 feet per second.
Step-by-step explanation: To convert miles per hour to feet per second, we need to use the unit fractions you've provided.
Given:
1 mi = 5280 ft
1 hr = 60 min
1 min = 60 sec
We need to convert 195 miles per hour to feet per second.
Start with 195 mi/hr.
Multiply by fractions equivalent to 1, in a way that cancels out the units you don't want and leaves the units you do want.
195 mi/hr * (5280 ft/1 mi) * (1 hr/60 min) * (1 min/60 sec)
The mi units cancel, the hr units cancel, and the min units cancel, leaving ft/sec.
This equals: 195 * 5280/3600 ft/sec
= 286.67 ft/sec
Answer:
286 ft/s
Step-by-step explanation:
You want to express 195 mi/h in feet per second.
Units conversionTo convert the units, multiply by the fraction that cancels the units you don't want and leaves the units you do want.
\(195\,\dfrac{\text{mi}}{\text{h}}=\dfrac{195\text{ mi}}{1\text{ h}}\times\dfrac{1\text{ h}}{60\text{ min}}\times\dfrac{1\text{ min}}{60\text{ s}}\times\dfrac{5280\text{ ft}}{1\text{ mi}}=\dfrac{195\times5280\text{ ft}}{60\times60\text{ s}}\\\\=\dfrac{1029600\text{ ft}}{3600\text{ s}}=\boxed{286\text{ ft/s}}\)
__
Additional comment
The exact conversion is as shown above. The conversion factor 5280/3600 reduces to 22/15 ft/s for 1 mi/h.
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In August 1999 a company purchased an asset for $12000, which it
decided to depreciate using the diminishing value method. The book value
at the end of 3 years was $5062.50. Using the information in Table 8.1 attached.
(a) calculate the rate of depreciation
(b) determine the possible values of effective life of the asset
(c) construct a depreciation schedule for 5 years
Refer to Figure 8-9. The loss of producer surplus as a result of the tax is a. $3,000. b. $6,000. c. $9,000. d. $12,000.
The loss in producer surplus as a result of the tax given the information in the diagram is $9000.
What is the loss in the producer surplus?Producer surplus is the difference between the price of a good and the least price the seller is willing to sell the product
The dead weight loss of tax can be determined by calculating the reduction in total surplus as a result of the tax
Loss = (1/2 x 600 x 40) - (1/2 x 300 x 20)
12000 - 3000 = $9000
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A man is 4 times as old as his son. In 5 years time he will be 3 times as old as his son. What is the present age of the son in years.
Answer: 40 years old.
Step-by-step explanation:
Let man's age = a
Let son's age = b
Since a man is 4 times as old as his son, therefore
a= 4b
In 5 years, he will only be 3 times as old as his son, therefore
a+5=3(b+5)
Apply substitution method :
4b+5=3b+15
b=10
a=40
Suppose that G(x) = F(x-2)+7. Which statement best compares the graph of G(x) with the graph of F(x)?
Answer:
g(x) is f(x) shifted 2 units right and 7 units up
Step-by-step explanation:
Given
\(g(x) = f(x - 2) + 7\)
Required
Relationship between f(x) and g(x)
We have:
\(f(x)\)
When f(x) is shifted 2 units to the right;
The rule is:
\(x \to x -2\)
So, it becomes:
\(f(x - 2)\)
When \(f(x - 2)\) is shifted up by 7 units,
The rule is:
\(y \to y + 7\)
So, it becomes:
\(f(x - 2) + 7\)
Hence;
g(x) is f(x) shifted 2 units right and 7 units up
What is the surface area of a sphere with diameter 8 cm?
Answer:
As = 256\(\pi\) or 804.25cm
Step-by-step explanation:
By formula As = \(4\pi r^{2}\)
As = 256\(\pi\) or 804.25cm
The Maths GCSE test scores of 240 students are shown in the histogram below.
The required median is 110- 120 and the upper quartile of the scores is 110-120.
Given that, the data from the histogram is
CI | f
80-90 | 5
90-100, | 3
100-110, | 4
110-120, | 4
120-130, | 3
130-140, | 3
140-150, | 2
150-160 | 2
To find the median and upper quartile of the given scores, make the cumulative frequency table.
The cumulative frequency table is given below.
CI | f | cf
80-90 | 5 | 5
90-100, | 3 | 8
100-110, | 4 | 12
110-120, | 4 | 16
120-130, | 3 | 19
130-140, | 3 | 22
140-150, | 2 | 24
150-160 | 2 | 26
N = 26.
The median is the N/2 th score when N is even.
Median = 13th score = 110-120 scores
To find the upper quartile, the product of (3/4 and N )th score gives the upper quartile.
Upper quartile = (3/4 x 26)th score.
Upper quartile = 19.5th score.
The upper quartile score range is 110 - 120.
Therefore,the required median is 110- 120 and the upper quartile of the scores is 110-120.
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In the figure below, 7 ||
n. Find the values of y and z.
850
(4z + 5)
Step-by-step explanation:
See the attached image.
Given f(x) = 52x, evaluate f(–1), f(0), and f(2). Question 1 options:a. 1/25, 0, 625 B. 25, 1, –25 c. 1/25, 0, 25 d. 1/25, 1, 625
Answer:
1/25, 1, 625
Step-by-step explanation:
The value of the function at f(–1), f(0), and f(2) will be 1/25, 1, 625 thus option (d) is correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
As per the given function,
f(x) = \(5^{2x}\)
Put x = -1
f(-1) = 5⁻² = 1/5² = 1/625
Put x = 0
f(0) = 5⁰ = 1
Put x = 2
f(2) = 5²ˣ² = 5⁴ = 625
Hence "The function's value at f(-1), f(0), and f(2) is 1/25, 1, 625".
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Please help by tomorrow
The equation shows that the number of toys that must be bought for them to have equal profit will be 212 toys.
How to calculate the value?From the information, it should be noted that the equation that can be used to represent the information about Jaclyn company will be:
= 2125 + (49.99 × x)
= 2125 + 49.99x
The equation that can be used to represent the information about Richie company will be:
= (39.95 × x)
= 39.95x
Therefore, we will equate both equations:
2125 + 49.99x = 39.95x
49.99x - 39.95x =2125
10.04x = 2125
x = 212
Therefore, the number of toys that must be bought for them to have equal profit will be 212 toys.
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A card game requires that you have a sum of 5 in order to win. Based on the cards shown below, will Cameron win the game?
3 11 -5 -8 -2 1
Answer:
I don't think so
Step-by-step explanation:
The sum is the numbers added together and 3+1 -5 -8 -2+1=-10 so you did not get 5
No, Cameron will not win the game.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
A card game requires that you have a sum of 5 in order to win.
Now, Let us calculate the sum of the cards.
= 3 + 11 + (-5) + (-8) + (-2) + 1
= 0.
Since, the sum is not equal to 5,
Hence, Cameron will not win the game.
So, Cameron needs to draw more cards and hope that they add up to 5 to win the game.
Thus, Cameron will not win the game.
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On a number line, point C is at 8, and the midpoint E of CD is at -3.
Point D is at
on the number line.
Answer: C
Step-by-step explanation:
Point D is at -14 on the number line.
How to determine the midpoint of a line segment?In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).
Since E is the midpoint of line segment CD, we can logically deduce the following relationship:
Line segment CD = Line segment C + Line segment D
Midpoint E = (point C + point D)/2
By substituting the given points into the equation above, we have the following:
-3 = (8 + D)/2
-6 = 8 + D
D = -6 - 8
D = -14
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I need help on this
Answer:56
Step-by-step explanation:
We already have the lengths of the given sides:
5+7=12
12+5=17
17+5=22
22+11=33
33+7=40
40+(5+11)=56
There are at least 1,350 students at school today. Which inequality represents this situation?
A x>1,350
B x≤1,350
(C) x ≥ 1,350
D x<1,350
The inequality that represents the situation given is option c x ≥ 1,350
Given,
There are at least 1,350 students at school today.
We have to find the inequality which represents the situation;
Inequality;-
The occurrence of an unfair and/or unequal distribution of opportunities and resources among the people that make up a society is referred to as inequality. To different people and in various settings, the word "inequality" may indicate different things.
Here,
At least means minimum of. That is, greater than or equal to.
So,
x be the number of students.
Then,
x ≥ 1350 represents the number of students.
That is,
x ≥ 1350 (option C) is the inequality which represents the situation given here.
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The total cost of a tie and a pair of pants was $69.95. If the price of the tie was $6.79 less than the pair of pants, what was the price of the tie?
Answer:
$31.58
Step-by-step explanation:
31.58 + 6.79 = 38.37
38.37 + 31.58 = 69.95
A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to determine whether under-filling or over-filling is occurring. If the sample data lead to a conclusion of under-filling or over-filling, the production line will be shut down and adjusted to obtain the proper filling.
a. Formulate the null and alternative hypotheses that will help in deciding whether to shut down and adjust the production line.
b. Comment on the conclusion and the decision when the null hypothesis cannot be rejected.
c. Comment on the conclusion and the decision when the null hypothesis can be rejected.
Answer:
b
Step-by-step explanation:
mark brainliest pls....
6. if a is a square matrix that is row equivalent to the identity matrix then a is diago- nalizable.
False, If A is row equivalent to the identity matrix, then A is invertible.
Given :
if a is a square matrix that is row equivalent to the identity matrix then a is diago - nalizable.
Identity matrix :
An identity matrix is a square matrix having 1s on the main diagonal, and 0s everywhere else .
Invertible matrix :
An invertible matrix is a matrix for which matrix inversion operation exists, given that it satisfies the requisite conditions.
so given statement is false if A is row equivalent to the identity matrix, then A is invertible.
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Find value of b and A
Answer:
Hi
Step-by-step explanation:
Please paste your question so I can solve it
Thanks
9. (a) (b) (c) (d) (e) Bako is twice as old as he was five years ago. His mother was then six times as old as he was. She is now 35 years old. How old is Bako? 10 How old was his mother when Bako was five? How old will Bako be when his mother is 50? How old was Bako's mother when he was born? What is the difference between Bako's age and his mother's?
Answer:
(a) Bako is 10 years old
(b) His mother was 30 years old when Bako was 5
(c) Bako will be 25 years old when his mother is 50
(d) Bako's mother was 25 years old when he was born
(e) The difference between Bako's age & his mother's is 25 years
Step-by-step explanation:
Let Bako's age five years ago be x years
Presently, Bako is 2x years old (according to the 1st statement)
Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.
This simply means that Bako's present age is BOTH 2x years & (x + 5) years.
We have to equate them since they mean the same thing (Bako's present age)
x + 5 = 2x
2x - x = 5
Therefore x = 5 years
Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.
This simply means that Bako's age now is 10 years old.
His mother was then six times 5 years = 30 years old (from the 2nd statement).
If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.
This simply means that Bako's mother is older than him with 25 years.
Therefore, Bako will be 25 years old when his mother is 50 years old
Black & Decker Manufacturing sold a set of saws to True Value Hardware. The list price was $3,800. Black & Decker offered a chain discount of 8/3/1. The net price of the saws is:
The net price of the saws that Black & Decker Manufacturing sold to True Value Hardware on a chain discount of 8/3/1 is $3,357.21.
What is a chain discount?A chain discount refers to a type of discount offered to customers, which is sequentially applied to the list price to arrive at the net price.
Chain discounts involve a series of trade discounts applied in sequence.
Data and Calculations:List price = $3,800
Chain discount = 8/3/1
First net price = $3,496 ($3,800 x 1 - 8%)
Second net price = $3,391.12 ($3,496 x 1 - 3%)
Third net price = $3,357.21 ($3,391.12 x 1 - 1%)
Thus, the net price based on a chain discount of 8/3/1 is $3,357.21.
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anie spent 2.5 hours doing homework she spent 1/3 of the time on the history project she spent all remaining time writing an essay how much time did Annie spent writing the essay answer fast!!!!!!!!!!
19. Which answer is a solution for x if x/4=21
Answer:
A. 84
Explanation:
Given the equation:
\(\frac{x}{4}=21\)To solve for x, multiply both sides of the equation by 4.
\(\begin{gathered} \frac{x}{4}\times4=21\times4 \\ x\times\frac{4}{4}=84 \\ x\times1=84 \\ \implies x=84 \end{gathered}\)The value of x is 84.
Option A is correct.