Answer:
In explanation
Please let me know if something doesn't make sense.
Step-by-step explanation:
a)
*This relation is not reflexive.
0 is an integer and (0,0) is not in the relation because 0(0)>0 is not true.
*This relation is symmetric because if a(b)>0 then b(a)>0 since multiplication is commutative.
*This relation is transitive.
Assume a(b)>0 and b(c)>0.
Note: This means not a,b, or c can be zero.
Therefore we have abbc>0.
Since b^2 is positive then ac is positive.
Since a(c)>0, then (a,c) is in R provided (a,b) and (b,c) is in R.
*The relation is not antisymmretric.
(3,2) and (2,3) are in R but 3 doesn't equal 2.
b)
*This relation is reflective.
Since a^2=a^2 for any a, then (a,a) is in R.
*The relation is symmetric.
If a^2=b^2, then b^2=a^2.
*The relation is transitive.
If a^2=b^2 and b^2=c^2, then a^2=c^2.
*The relation is not antisymmretric.
(1,-1) and (-1,1) is in the relation but-1 doesn't equal 1.
c)
*The relation is reflexive.
a/a=1 for any a in the naturals.
*The relation is not symmetric.
Wile 4/2 is an integer, 2/4 is not.
*The relation is transitive.
If a/b=z and b/c=y where z and y are integers, then a=bz and b=cy.
This means a=cyz. This implies a/c=yz.
Since the product of integers is an integer, then (a,c) is in the relation provided (a,b) and (b,c) are in the relation.
*The relation is antisymmretric.
Assume (a,b) is an R. (Note: a,b are natural numbers.) This means a/b is an integer. This also means a is either greater than or equal to b. If b is less than a, then (b,a) is not in R. If a=b, then (b,a) is in R. (Note: b/a=1 since b=a)
Calculate 18t -t +69-6
Answer:
17t + 63Step-by-step explanation:
18t - t + 69 - 6
= 17t + 63 (Ans)
Answer:
17t + 63
Step-by-step explanation:
18t - t + 69 - 6
subtract we get
17 t + 63
Your city has a sales tax rate of 6%. If you just spent $30 on sales tax, how much were your purchases?
Answer:
30.00×.06=1.8+30.00=31.8
pls I need an answer to this
Answer:
10.20
the answer is in none of the options just choose
10.12
OPTION D is the correct answer
which ordered pair is a solution to the system of inequalities graphed here?
Step-by-step explanation:
-3,4 Is the answer Is it right or wrong if it is true plz mark me as brainliest
Answer:
Ano is correct
Step-by-step explanation:
-3,4is theoretically correct answer
Multiply (5xy-4)(5xy+4)
[tex]{25x {}^{2} y}^{2} - 16[/tex]
What are the first five terms of the recursive sequence?
Answer:
the fourth option
9, 30, 93, 282, 849
Step-by-step explanation:
a1 = 9
based on the sequence definition
a2 = 3×a1 + 3 = 3×9 + 3 = 27 + 3 = 30
the only answer option with a2=30 is the fourth one. all others must be therefore wrong.
check
a3 = 3×a2 + 3 = 3×30 + 3 = 93
a4 = 3×a3 + 3 = 3×93 + 3 = 282
a5 = 3×a4 + 3 = 3×282 + 3 = 849
confirmed.
Which of the following represents the factorization of the trinomial below?
-4x^2 - 4x^2 +24 x
ANSWER ASAP
Answer:
(x - 12)²
Step-by-step explanation:
Given
x² - 24x + 144
Required
Factorize
Start by expanding the expression
x² - 12x - 12x + 144.
Factorize.
x (x - 12) - 12(x - 12)
Factor out x - 12
(x 12)(x - 12)
Rewrite as
(x - 12)²
If p and q are the roots of 2x²+ 6x = 12 + 4x, and p < q, find q − p
Step-by-step explanation:
The given equation can be further simplified into
[tex]2x^{2}+2x-12=0[/tex]
The roots of a quadratic equation is given by
[tex]x = \dfrac{ - b \: \pm \: \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
where a = 2, b = 2 and c = -12. Putting these into the roots equation, we get
[tex]x = \dfrac{ - 2 \: \pm \: \sqrt{4 \: - \: 4(2)( - 12)} }{2(2)} = \dfrac{ - 2 \: \pm \: 10}{4}[/tex]
This gives us two possible roots:
x = 2, x = -3
Since the condition is that p < q, we see that p = -3 and q = 2. Therefore,
[tex]q - p = 2 - ( - 3) = 5[/tex]
You are riding your bike and notice the square sign above. You mentally draw a
straight line from point A to C. Describe the angle relationship between /_DCA and
/_BCA.
===========================================================
Explanation:
When using the SSS congruence rule, we can prove that triangle DCA is congruent to triangle BCA.
Since the triangles are congruent, the corresponding pieces angle DCA and angle BCA are equal in measure (if they weren't, then the triangles wouldn't be congruent).
Recall that any square has four right angles, ie all angles are 90 degrees each. Angle DCB is cut in half to get 90/2 = 45.
The angles DCA and DCB are 45 degrees each.
A hybrid car was driven 300 mi and used 6 gal of gasoline. At the same rate of
consumption, how far would the hybrid car travel on 11.5 gal of gasoline?
Answer:
575 miles
Step-by-step explanation:
Create a proportion where x is the distance traveled on 11.5 gallons of gas:
[tex]\frac{300}{6}[/tex] = [tex]\frac{x}{11.5}[/tex]
Cross multiply and solve for x:
6x = 11.5(300)
6x = 3450
x = 575
So, the car would travel 575 miles
Answer:
575 mi
Step-by-step explanation:
First we are going to find out how much gasoline the hybrid car uses per mile.
to do this we are going to divide 300 by 6.
[tex]\frac{300}{6}[/tex] = 50 mi
∴ For every 50 miles 1 gallon of gas is used. This can be represented as 1:50 or [tex]\frac{1}{50}[/tex].
To find the distance that 11.5 gallon of gas would be used we are going to multiply 50 by 11.5.
50 × 11.5 = 575 mi
(X+2)(X+3)(X+4)=990
I know that x=7 but how do i solve it without substitution?
ie. i don't want to use y=x+3 where 990=(y-1)(y)(y+1)
Step-by-step explanation:
foctorized 990 = 9×10×11
so, (X+2)(X+3)(X+4)=9×10×11
we can choose one of the factors, and get the answer with the same x values
x+2 = 9 , => x =7
x+3 = 10, => x = 7
x+4 = 11, => x = 7
Which ordered pair (x,y) satisfies the inequality?
NEED HELP ASAP
So for this problem I got 10.8 by multiplying 0.60 x 18. However it stated that my answer is incorrect. How do I go about this problem because I am not sure what else to do?
We are looking for the total amount of the solution. We only know part of it, that there are 18 milliliters of the alcohol. We also know that the alcohol makes up only 60% of the solution.
To find the whole, we can set up a proportion using the information given.
60 / 100 <--- This is our percentage, which we were given.
18 / x <--- This is the part (alcohol - 60%) over the whole, which we don't know and which also corresponds to the 100.
Therefore, our proportion is as such:
60 / 100 = 18 / x
To solve, cross-multiply.
100 * 18 = 60 * x
1800 = 60x
x = 30 total milliliters of the solution
Hope this helps!
upandover has a great solution. Here's a slightly different approach.
x = total amount of solution (consisting of water and alcohol mixed)
0.60x = 60% of x = amount of pure alcohol
0.60x = 18 since we have 18 mL of pure alcohol
Divide both sides by 0.60 to isolate x
0.60x = 18
x = 18/0.60
x = 30
Answer: 30 mL of total solution (alcohol + water).
Matt had 60 questions correct on a Percent's Chapter Test that had 150 one-mark questions.
What was his mark written as a percentage?
Help me ! Solve problems working with imaginary numbers
Answer:
1) 8 + 2i
2) -13
3) 15 + 3i
4) 1
5) 24 - 10i
Step-by-step explanation:
Working with imaginary numbers is similar to working with a variable when it comes to addition and subtraction, so for problems 1 and 3, it is a matter of combining like terms.
1) The like terms are 7i and -5i; 5 and 3. We can combine them.
8 + 2i
2) We can start to compute the problem by noticing it is a special product of difference of squares. The expression can also be written as:
(3i)^2 - (2)^2
9i^2 - 4
i is defined as the square root of negative 1, so i^2 is -1. We can substitute that in:
9(-1) - 4
-9 - 4
-13
3) We can combine the like terms, 12i and -9i; 5 and 10:
15 + 3i
4)The powers of i repeat every four numbers. For example:
i^1 = i
i^2 = -1
i^3 = -i
i^4 = 1
i raised to a power divisible by four is always 1, so i^24 is 1.
5) We can start by normally distributing in this problem:
12 - 18i + 8i - 12i^2
As said before, i^2 is -1:
12 - 10i + 12
24 - 10i
if a binomial trial has a success of .3, how many successes would you expect out of 500 trails
Answer:
gfs
Step-by-step explanation:
i need help pls it’s timedd!!!!
Answer:
5.
Step-by-step explanation:
If you were to rotate the triangle, you can apply Pythagoras Theorem.
Therefore,
a^2 = 12^2 - 13^2 (Note: a^2 = a squared)
a^2 = 144 - 169
a^2 = -25.
a = 5.
Not sure why its negative though im pretty sure its the right answer.
in BCD triangle :
DC^2 = BC^2 + BD^2
13^2 = 12^2 + BD^2
169 = 144 + BD^2
BD^2 = 169 - 144
BD^2 = 25
BD = 5
_______________________
In the other hand we have :
BD^2 = AB × BC
5^2 = AB × 12
AB = 25/12
________________________
Also we have :
AD^2 = AB × AC
AD^2 = 25/12 × ( 25/12 + 12 )
AD^2 = 25/12 × ( 25/12 + 144/12 )
AD^2 = 25/12 × 169/12
AD^2 = 25 × 169 / 12 × 12
AD^2 = 5 × 5 × 13 × 13 / 12 × 12
AD = 5 × 13 / 12
AD = 65 / 12
AD = 5.42
Thus the correct answer is option C
Select the correct answer from each drop-down menu.
Consider the function f(x) = 2x + 6 and the graph of the function g shown below.
The graph of g is the graph off translated (1,4,5 or 6) units (left, right, up, or down)
and g(x) =
Answer: The graph of g is the graph of f translated 5 units right, and g(x) = f(x - 5).
Step-by-step explanation:
The graph f(x) = 2x = 6 translated (1,4,5 or 6) units (left, right, up, or down) are g(x) = 2(x + 1) + 6, g(x) = 2(x - 4), 2x + 11, g(x) = 2x.
What are the transformation rules of a function?Suppose we have a function f(x).
f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).
f(x ± c) = Horizontal left/right shift by c units (x - + c, y).
(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).
f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).
f(-x) = Reflection over y axis, (-x, y).
-f(x) = Reflection over x-axis, (x, -y).
Given, a function f(x) = 2x + 6.
g(x) is translated 1 units left.
g(x) = 2(x + 1) + 6.
g(x) is translated 4 units right.
g(x) = 2(x - 4).
g(x) is translated 5 units up.
g(x) = 2x + 6 + 5 = 2x + 11.
g(x) is translated 6 units down.
g(x) = 2x.
learn more about graphs here :
https://brainly.com/question/2288321
#SPJ2
consider the figure below
Answer:
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jurvjyrbsurksbksyrbbkursvkurwvkrskuvrskusbrsibyrsriuvvsiruisrbisburisbriusrbisurbiurs
kzrqyeyjacjyeaciarcyirwvuowurvow
vyveaibyraiiuvrslurwc
Select the correct answer.
Which number has a repeating decimal form?
b.11/25
c.3/20
d.2/6
Answer:
d.2/6 has a repeating decimal form
Answer:
[D. 2/6]
Step-by-step explanation:
For edmentum users (Please check your answers before placing the answer to avoid low grades and misconfusion.)
What is the equation line of A?
What is the equation line of B?
Answer:
see below
Step-by-step explanation:
Line A is a horizontal line
It is of the form y = constant
y = 4
Line B is a vertical line
It is of the form x = constant
x = 8
What is the slope of the line?
Pls help
Answer: 3
Step-by-step explanation:
Pick 2 coordinates that are on the line, for example, (-2,0) and (-1,3)
Slope = Rise/Run = (3-0)/(-1-(-2)) = 3
What is the slope of the line?
2x+ 4y = 6x- y
Answer:
4/5
Step-by-step explanation:
→ Rearrange to get into y = mx + c
5y = 4x + c
→ Divide everything by 5
y = 4/5x + c
Rahul simplified an expression. His work is shown below.
7 (8.5 minus 1.5) + 8 divided by 2
Step 1
7 (7) + 8 divided by 2
Step 2
49 + 8 divided by 2
Step 3
57 divided by 2
Step 4
28.5
Where did Rahul make his first mistake?
step 1
step 2
step 3
step 4
Step-by-step explanation:
he made a mistake in step 3 because you not supposed to add that value behind that division
and you divide first
Answer:
mistake is in step 4. he shouldn't have added first
to train for a race, you plan to run 1 mile the first week and double the number of miles each week for five weeks. How many miles will you run for the 5th week. math problem
Answer:
16 Miles
Step-by-step explanation:
For every week you simply multiply the number of miles from the previous week by 2, therefore
Week 1: 1
Week 2: 2
Week 3: 4
Week 4: 8
Week 5: 16
HELP PLEASE QUICKKKKKK
Answer:
3
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Line segment Q R , Line segment R S and Line segment S Q are midsegments of ΔWXY.
Triangle R Q S is inside triangle X Y W. Point R is the midpoint of side X Y, point S is the midpoint of side Y W, and point Q is the midpoint of side X W. The length of Q R is 2.93 centimeters, the length of R S is 2.04 centimeters, and the length of Q S is 2.28 centimeters.
What is the perimeter of ΔWXY?
11.57 cm
12.22 cm
12.46 cm
14.50 cm
Answer:
14.50 cm
Step-by-step explanation:
Based on the midsegment theorem:
The midsegment connecting two sides of triangle is parallel to the third side of the triangle and the length of the midsegment line is half the length of the third side parallel to the midsegment.
From the diagram ;
QR // ZY
XY = 2 * 2.93 = 5.86
RS // XZ
XZ = 2 * 2.04 = 4.08
QS // XY
XY = 2 * 2.28 = 4.56
The perimeter :
(XY + XZ + XY)
5.86 + 4.08 + 4.56
= 14.50 m
Answer:
d
Step-by-step explanation:
An instructor gives an exam with fifteen questions. Students are allowed to choose any eleven to answer.
Required:
a. How many different choices of eleven questions are there?
b. Suppose seven questions require proof and nine do not. How many groups of eleven questions contain five that require proof and six that do not?
Answer:
a. There are 1365 choices of eleven questions.
b. 1764 groups of eleven questions contain five that require proof and six that do not.
Step-by-step explanation:
The order in which the questions are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
a. How many different choices of eleven questions are there?
Eleven questions from a set of 15. So
[tex]C_{15,11} = \frac{15!}{11!4!} = 1365[/tex]
There are 1365 choices of eleven questions.
b. Suppose seven questions require proof and nine do not. How many groups of eleven questions contain five that require proof and six that do not?
5 from a set of 7 and 6 from a set of 9. So
[tex]C_{7,5}C_{9,6} = \frac{7!}{5!2!} \times \frac{9!}{6!3!} = 1764[/tex]
1764 groups of eleven questions contain five that require proof and six that do not.
20. Find the measure of < DEG. (G.CO.C.10)
4
E
A. 25
B. 8
(3y + 4) A (5y-10)
C. 30
水
D
F
Click to add speaker notes
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O
c
3
PO
.
a
Answer:
A. 25
Step-by-step explanation:
From the diagram given, we can deduce that <D EG = <F EG
Therefore:
3y + 4 = 5y - 10
Collect like terms and solve for y
3y - 5y = -4 - 10
-2y = -14
Divide both sides by -2
y = -14/-2
y = 7
✔️m<D EG = 3y + 4
Plug in the value of y
m<D EG = 3(7) + 4
m<D EG = 25°
Factor completely 3x2 + 9x − 3.
3(x2 + 3)
3(x2 + 3x − 1)
3x(x2 + 3x − 1)
Prime