Answer:
The three options are;
1) If p = a number is negative and q = the additive inverse is positive, the original statement is p → q
2) If p = a number is negative and q = the additive inverse is positive, the original statement the inverse of the original statement is ~p → ~q
3) If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q
Step-by-step explanation:
Given a statement if p then q, we have, p → q. The converse of the original statement is then, if q, then p while the inverse of the original statement is then if not p then not q, and the contrapositive statement is then if not q then not p
Mathematically, we have;
The given conditional statement;
If a number is negative, the additive inverse is positive which can be expressed as follows;
The conditional statement is p → q
The converse statement is q → p
The inverse statement is ~p → ~q
The contrapositive statement is ~q → ~p
Therefore, we have;
1) The conditional statement, if p = a number is negative and q = the additive inverse is positive, the original statement which is a conditional statement is therefore p → q
2) If p = a number is negative and q = the additive inverse is positive, the original statement, which is a conditional statement is p → q, the inverse of the original conditional statement is therefore, ~p → ~q
3) If q = a number is negative and p = the additive inverse is positive, the original statement, which is a conditional statement is therefore, q → p, the contrapositive of the original conditional statement is therefore ~p → ~q.
The three options are;
1) If p = a number is negative and q = the additive inverse is positive, the original statement is p → q
2) If p = a number is negative and q = the additive inverse is positive, the original statement the inverse of the original statement is ~p → ~q
3) If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q
What is additive inverse?The additive inverse of any number is defined as when it is added to the number it gives zero as a result.
Given a statement if p then q, we have, p → q. The converse of the original statement is then, if q, then p while the inverse of the original statement is then if not p then not q, and the contrapositive statement is then if not q then not p
Mathematically, we have;
The given conditional statement;
If a number is negative, the additive inverse is positive which can be expressed as follows;
The conditional statement is p → q
The converse statement is q → p
The inverse statement is ~p → ~q
The contrapositive statement is ~q → ~p
Therefore, we have;
1) In The conditional statement, if p = a number is negative and q = the additive inverse is positive, the original statement which is a conditional statement is, therefore, p → q
2) If p = a number is negative and q = the additive inverse is positive, the original statement, which is a conditional statement is p → q, the inverse of the original conditional statement is, therefore, ~p → ~q
3) If q = a number is negative and p = the additive inverse is positive, the original statement, which is a conditional statement is, therefore, q → p, the contrapositive of the original conditional statement is, therefore, ~p → ~q
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whats the answer to this question -9x+1= -8
Solve for z. z³ = 64 Enter your answer in the box. z =
Answer:
z³ = 64
z³=4³
since power is equal, base will be same
z=4
Step-by-step explanation:
The value of z in the expression is,
⇒ z = 4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Expression is,
⇒ z³ = 64
Now, We can simplify the expression as;
⇒ z³ = 64
Take cube root both side,
⇒ z = ∛64
⇒ z = ∛4³
⇒ z = 4
Thus, The value of z in the expression is,
⇒ z = 4
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When all the values in a data set are written in order from least to greatest, the value that is in the middle, with an equal number of values below it and equal number of values above it, is called the _____ median mean mode range
Answer:
Median
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
If r=8 units and h=11 units, what is the volume of the cylinder shown above? Use 3.14 for pi. HELP ME
Answer:
The answer is
2210.56 units³Step-by-step explanation:
Volume of a cylinder is given by
V = πr²hwhere
r is the radius of the cylinder
h is the height
From the question
r = 8 units
h = 11 units
Substitute the values into the above formula and solve
V = 3.14(8)²(11)
= 3.14(64)(11)
= 3.14 × 704
We have the final answer as
V = 2210.56 units³
Hope this helps you
2 expressions equivalent to (x-6) • (x-3)
Answer:
x^2 + -9 x + 18 = (x - 9) x + 18 = (x - 6) (x - 3) all three are alternanate forms.
Step-by-step explanation:
Expand the following:
(x - 6) (x - 3)
Hint: | Multiply x - 6 and x - 3 together using FOIL.
(x - 6) (x - 3) = (x) (x) + (x) (-3) + (-6) (x) + (-6) (-3):
x x - 3 x - 6 x - 6 (-3)
Hint: | Combine products of like terms.
x x = x^2:
x^2 - 3 x - 6 x - 6 (-3)
Hint: | Multiply -6 and -3 together.
-6 (-3) = 18:
x^2 - 3 x - 6 x + 18
Hint: | Group like terms in x^2 - 3 x - 6 x + 18.
Grouping like terms, x^2 - 3 x - 6 x + 18 = x^2 + (-3 x - 6 x) + 18:
x^2 + (-3 x - 6 x) + 18
Hint: | Combine like terms in -3 x - 6 x.
-3 x - 6 x = -9 x:
Answer: x^2 + -9 x + 18 = (x - 9) x + 18 =(x - 6) (x - 3)
plz help I'm and dead confused
Domain: {-3, -1, 2, 4, 6}
Range: {-2, 1, 2, 4, 6}
===========================================
Explanation:
The domain is the set of possible x values of a relation or function. To form the domain, we just list out the x coordinates of each point
Point A is located at (-3, 4) so the x coordinate x = -3 is part of the domain
Point B is at (-1,1) meaning x = -1 is also part of the domain
And so on. Doing this for all five points leads to the list of x coordinates {-3,-1,2,4,6} which is the domain.
--------------------
The range is a similar story, but we look at the y coordinates now. Point A has y coordinate 4, so y = 4 is part of the range.
Point B has y coordinate y = 1, so that is also part of the range.
The range is {-2, 1, 2, 4, 6} representing all of the possible y values of this relation.
With any set, the order does not matter. Though convention is to list the items from smallest to largest.
Which situation is best modeled with a division expression? the total cost of 4 pints of strawberries that sell for $3 each the cost per pint of 3 pints of blueberries if the total cost was $6 the cost per pint of raspberries after applying a $1 coupon if the normal price was $3 each the total cost of a pint of blackberries that sells for $3 and a pint of cherries that sells for $4
Answer:
the cost per pint of 3 pints of blueberries if the total cost was $6
Step-by-step explanation:
This is the correct answer
I hope this helps you!
Answer:
C
Step-by-step explanation:
cann u heeeeellllpppp mmmmmeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
a) 10/3
b) 30miles covered in 1/2 an hour
75 miles covered in 1 1/4 hours
therefore they get there at 4:15pm
c) an airplane covers 50 miles in 1/5 hours. how many miles can the airplane cover in 5 hours?
SOLUTION=5 divided by 1/5=25
50*25=1250 miles
i beg someone to answer ive posted this 3 times and im still not sure how to do it.....
Which of the following is the best estimate for the number of seconds which have elapsed since the start of the year 2000?
(note: date was June 2001)
A) 3 X 10⁴
B) 3 x 10⁵
C) 3 x 10⁶
D) 3 X 10⁷
E) 3 X 10⁸
(with working out please)
Answer:
D) 3 X 10⁷
Step-by-step explanation:
Estimated days:
Jan 2000 to June 2001 = 1.5 years = 365*1.5 days ≈ 548 days1 day = 24 hours = 24*60 minutes = 24*60*60 seconds = 86400 seconds548 days = 548 * 86400 seconds = 47347200 ≈ 4.7*10⁷Best estimate is D) 3 X 10⁷
What is the product of (-a + 3)(a + 4)
Answer:
-a^2-a+12
Step-by-step explanation:
After multiplying and opening the brackets
we get
-a^2-4a+3a+12
=-a^2-a+12. ( simplifying)
hope it helps.....
Answer:
[tex] \boxed{\sf -a^2 - a + 12} [/tex]
Step-by-step explanation:
⇒(-a + 3)(a + 4)
⇒-a(a + 4) + 3(a + 4)
⇒(-a)(a) + (-a)(4) + (3)(a) + (3)(4)
⇒-a² - 4a + 3a + 12
⇒-a² - a + 12
Divide. 5892 ÷ 18 in fraction form.
Answer: 327 1/3
Hope this helps! :)
Answer:
5892 ÷ 18
327 1by 3in mixed fraction
Xavier currently pays $11.50 per movie he downloads with his current movie package. a new movie package charges $10 per movie downloaded with a $15 joining fee. How many movies would he need to download for him to want to switch?
Answer:
4
Step-by-step explanation:
after paying for 4 movies he's spent more than how much he would pay at the other one for downloading 4 movies
Asked to simplify
Can’t be a fraction
Please help
Answer:
27[tex]a^{9}[/tex][tex]b^3\\[/tex]
Step-by-step explanation:
This is what happens
[tex](3)^{3} or (3^1)^{3}[/tex]= [tex]3^{1x3}[/tex] = [tex]3^{3}[/tex] = 27
[tex](a^{3})^{3}[/tex]= [tex]ax^{3x3}[/tex] [tex]a^{9}[/tex]
[tex](b)^{3}[/tex]= [tex]b^{1x3}[/tex] =[tex]b^{3}[/tex]
Antonela is planning on painting her room. A gallon of paint covers 110 square feet.
If Antonela's room is 10 feet by 8 feet and has an 8 foot ceiling, how many gallons
would she need to buy?
Find the midpoint of the segment with the following endpoints. (1, 1) and (7,7)
You have a handful of dimes and quarters that totals 26 coins and is worth $5.15. How many of each do you have?
Answer:
9 dimes and 17 quarters
Step-by-step explanation:
9+17=26 coins
9 dimes = 90 cents
17 = 425 cents
90+425= 515 cents or $5.15
Hope this helps! :)
What is the common ratio (r) of the geometric sequence 1, 5, 25, 125?
Answer:
The common ratio is 5
Step-by-step explanation:
We know this because the first term times 5 equals the second term and the second term times five equals the third term and so forth.
Ben wants to try a new honey-glazed salmon recipe. He starts with 1 2/3 cups of honey. He uses 1/5 of it to make the glaze. How much honey does Ben have left?
Answer:
1 1/3
Step-by-step explanation:
Firstly, 1 2/3 is converted into an improper fraction being 5/3. Next, 1/5 of 5/3 is one portion of 5 equal portions. You can split 5/3 into five equal portions of 1/3. Therefore, 1/3 cup of honey was used to make the honey glaze. Lastly, that is subtracted from the 1 2/3 to end up with 1 1/3.
The required amount of honey left is given as 1 1/3.
Given that,
Ben wants to try a new honey-glazed salmon recipe. He starts with 1 2/3 cups of honey. He uses 1/5 of it to make the glaze.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Amount of honey = 1 2/3 = 5 / 3
Amount of honey used is 1/5 times = 1/5 [5 / 3] = 1 / 3
Amount of honey left = 5/3 - 1/3 = 4/3 or 1 1/3
Thus, the required amount of honey left is given as 1 1/3.
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On a school playground, a math teacher draws a number line with values from 10 to 10. The distance between each
consecutive number is 1 meter. Rebecca is standing at +4, and her friend Cedric is standing at -8.
What is the straight-line distance between the two friends, in meters?
Answer:
12
Step-by-step explanation:-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
count the spaces between the two numbers
The number line is the representation of numbers in real order.
The number line can be assumed as:
-10_-9_-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4_5_6_7_8_9_10
(Cedric) (Rebecca)
The straight-line distance between the two friends, in meters, is 11 meters.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
On a school playground, a math teacher draws a number line with values from 10 to 10.
The distance between each consecutive number is 1 meter.
We can assume the number line to be as,
-10_-9_-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4_5_6_7_8_9_10
(Cedric) (Rebecca)
The distance between Cedric and Rebecca.
= 4 - (-7)
= 4 + 7
= 11
Thus,
The straight-line distance between the two friends, in meters, is 11 meters.
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What degree does the function have?
F(x)=-2x^3+7x
Even or Odd
Answer:
The answer is Odd.
Step-by-step explanation:
I hope this helps you :)
atrain travel 120km in 3hour how long would it take to cover distance of 480km?
Answer:
It would take 12 hours to get to 480 km.
Step-by-step explanation:
if 120km is 3 hours meaning 40km per hour
that would mean that 40 x 12 = 480
1 hour = 40km
2 hours = 80km
3 hours = 120 km
what is 7x-4x=27,solve for x?
Answer:
x=9
Step-by-step explanation:
Find the endpoint of segment CD if D(-3, 1/2) and the midpoint is (-1/2, 3).
Answer:
Step-by-step explanation:
(x - 3)/2 = -1/2
x - 3 = -1
x = 2
(y + 1/2)/2= 3
y + 0.5 = 6
y = 5.5
(2, 5.5) the other endpoint
Use the functions f(x)=2x and g(x)= x^2+1 to find the value of each expression.
7. f(3)+g(4) 8. g(3)+f(4)
Answer:
First, you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.
Step-by-step explanation:
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
My answer is the neat listing of each of my results, clearly labelled as to which is which.
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}(
g
f
)(x)=
4−5x
3x+2
write the domain and the range of the function as an inequality, using set notation, and using interval notation. also describe the end behavior of the function
the graph of the quadratic function f(x) = -x^2 is shown
When the domain of the function is continuous, a different approach may well be required, although even here we note that in practice, optimization problems are usually solved using a computer, so that in the final analysis the solutions are represented by strings of binary digits (bits).
Select the correct answer
(0,b)
(-a, 0)
(0,0)
(a,0)
(0, -b)
What is the perimeter of the polygon in the diagram?
A. 2/(0-6)
B. 4(a+b)2
OC. 2(22+62)
OD. 4√22+6²
Answer:
b
Step-by-step explanation:
The perimeter of the polygon is 4√(a² + b²).
Option D is the correct answer.
What is the distance between two points of a line?The distance between two points of a line is given as:
Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
We have,
The polygon is formed by joining the four-point:
(0, b), (-a, 0), (a, 0), and (0, -b)
The distance between two points (x1, y1) and (x2, y2) is given by the formula:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Now,
Using this formula, we can find the lengths of the sides of the polygon:
The distance between (0, b) and (-a, 0) is d1.
= √[(0 - (-a))² + (b - 0)²]
= √(a² + b²)
The distance between (-a, 0) and (0, -b) is d2.
= √[(0 - (-a))² + (-b - 0)²]
= √(a² + b²)
The distance between (0, -b) and (a, 0) is d3.
= √[(0 - a)^2 + (0 + b)^2]
= √(a² + b²)
The distance between (a, 0) and (0, b) is d4.
= √[(0 - a)²+ (b - 0)^2]
= √(a² + b²)
The perimeter of the polygon is:
P = d1 + d2 + d3 + d4
= 4√(a² + b²)
Thus,
The perimeter of the polygon is 4√(a² + b²).
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4. Error Analysis Jacinta says that the product of a rational number and an irrational number is always irrational. Explain her error.
Answer:
She did not consider the multiplicative inverse property of a real number
Step-by-step explanation:
Jacinta in her conclusion did not consider the Multiplicative Inverse property of real numbers.
Let x be an irrational number.
So, [tex]$ x.\frac{1}{x}= 1$[/tex]
If x is an irrational number, then its reverse is also an irrational number. So by the Multiplicative Inverse property their product is 1 and 1 is a rational number. Thus, Jacinta was incorrect.
Which set of equations is enough information to prove that lines a and b are parallel lines cut by transversal f? m∠4 = 110° and m∠3 = 70° m∠1 = 110° and m∠2 = 110° m∠1 = 110° and m∠3 = 70° m∠2 = 110° and m∠3 = 110°
Answer:
its c
Step-by-step explanation:
Answer:
C. m∠1 = 110° and m∠3 = 70°
Step-by-step explanation:
as the other person said :)
Tell me the slope-intercept form?
slope intercept form in y=mx+b
Step-by-step explanation:
floor gang aooh sub to pewdiepie
How can parallel lines be used to compare figure E and F? Explain your reasoning.