The range is the set of all "y" values in an ordered pair, while the domain is really the set of all "x" values.
What is defined as the term called domain?Keep in mind which ordered pairs are represented by the following symbols: (x, y).
List all the x values first from relation to determine the domain when examining a set of ordered pairs. List each of the y values first from ordered pairs to determine the range. Repeated values that fall inside the domain or range need only be listed once. Each x value in a relation must have a unique value for the y value for it to be a function.A collection of ordered pairs isn't a function if an x value has had more than one y value associated with it, as as in the relation (4, 1), (4, 2), where the x value of 4 has y values of 1 and 2.
Thus, If there is only one y-value for every x-value, then the relation is called a function.
To know more about the domain, here
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answer anybody?? i can't do math like at all lol
Essentially, what we're looking at here are two alternate interior angles.
Wait. What? Alternate interior angles?
It sounds like some super fancy math jargon, but it's a fairly simple concept that I'll try my best to explain. First, let's look at lines L and M as two parallel lines, meaning that these two are lines with equal slopes, and will never intersect. See that line that goes in between the parallel lines L and M? That's called a transversal. It's basically a line that goes through two parallel lines.
Now we know that there's a transversal going through the parallel lines. So what? Well, there's a couple of special attributes to transversals. See the two angles, 7x-7 and 4x+14? As you can tell, these two angles alternate in the interior space between the transversal and the parallel lines.
Alternate interior angles are equal. There's a way to prove that they're equal, but I won't bore you with the specifics since that's not what the question's asking.
If the angles need to be equal for lines L and M to be parallel, we can make an equation that'll solve for x:
7x - 7 = 4x + 14
Subtract 4x from both sides:
7x - 4 x - 7 = 4x - 4x + 14
3x - 7 = 14
Add 7 to both sides:
3x - 7 + 7 = 14 + 7
3x = 21
Divide both sides by 3 to completely isolate x:
[tex]\frac{3x}{3}[/tex] = [tex]\frac{21}{3}[/tex]
x = 7
And that's our answer! If you need me to explain anything any further, just ask!
- breezyツ
5x + 2y = 18
-5x + 5y = 45
Answer:
the answer for this problem is (x,y)=(0,9)
Answer:
y = 9
x = 0
Step-by-step explanation:
5x + 2y = 18
-5x + 5y = 45 add two equations up
5x + 2y -5x + 5y = 18 + 45 add like terms (note that, 5x will eliminate -5x)
7y = 63 divide both sides by 7
y = 9 to find the value of x we can use this information
5x + 2y = 18 replace y with 9
5x + 2*9 = 18
5x + 18 = 18 subtract 18 from both sides
5x = 0 and x = 0
How does the concept of trust relate to debt?
Answer:
A trust can protect your assets for the next generation. However, if you have debt, the trust will not necessarily protect assets from creditors. If you or your beneficiaries file for bankruptcy, for example, the trust could be seized for repayment of debts.
Help please it’s due
Step-by-step explanation:
Since ABC is a triangle,
Angle A + Angle B + Angle C = 180 (Sum of angles in a triangle)
given Angle A = 3x + 1
Angle B = 4x - 17
Angle C = 5x - 20
[tex]3x + 1 + (4x - 17) + (5x - 20) = 180 \\ 3x + 4x + 5x + 1 - 17 - 20 = 180 \\ 12x - 36 = 180 \\ 12x = 180 + 36 \\ 12x = 216 \\ x = 216 \div 12 \\ = 18[/tex]
Now substitute x into all 3 angles.
A = 3(18) + 1 = 54 + 1 = 55 degrees
B = 4(18) - 17 = 72 - 17 = 55 degrees
C = 5(18) - 20 = 90 - 20 = 70 degrees
Since Angle A = Angle B but not equal to Angle C,
Triangle ABC is a isosceles triangle as 2 angles must be the same for it to be a isosceles triangle.
Answer:
it is C
Step-by-step explanation:
!!!!!!!!! PLEASE HELP !!!!!!!!!!
please show work
will give brainliest to whoever shows their work correctly
Solve x² - 6x - 7 = 0
Answer:
x= 7
x=-1
Step-by-step explanation:
- Multiply the coefficient of the first term by the constant 1 -7 = -7
- Find two factors of -7 whose sum equals the coefficient of the middle term, which is -6 .
-7+ 1 = -6
-Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 1.
x^2-7x+1x-7
- Add up the first 2 terms, pulling out like factors.
x • (x-7)
If m Z1 = 11x + 5 and m2 = 8x - 15, find m2.
A.) 75
B.) 115
C.) 10
D.) 65
Answer:
D) 65
Step-by-step explanation:
<1 = 11x + 5
<2 = 8x - 15
These angles are supplementary so,
11x + 5 + 8x - 15 = 180
19x - 10 = 180
19x = 190
x = 10
m<2:
8x - 15
8(10) - 15
80 - 15
65
Please help will mark brainliest
So , correct option is A
I hope you can see the above image.
Grade 6 Unit 4 Equations and Inequalities PC Each of three brothers was given the same amount of money by their grandfather. The total amount they received was $45. $45 How much money did each brother receive? Answer with a complete sentence.
PLEASE HELO ASAP WILL GIVE BRAINLEAST TO RIGHT ANSWER
Answer:
1/4
Step-by-step explanation:
Favorable Outcomes/ All Possible Outcomes= 2/8
2/8= 1/4
The answer is 1/4.
Factor the common factor out of each expression.
8x-40
Answer:
The common factor of this equation is 8
Step-by-step explanation:
8/8 & 40/8
1 & 5
Answer:
Hi! The answer to your question is 8 (x-5)
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
Question 1
The expression (-4a3b)2 is equivalent to
16a6b2
16a5b2
8a6b2
-16a6b2
Find the mean of the data.
9, 16, 13, 14, 10, 16 , 17, 9
Thanks! Will mark brainly!
Answer:
13
Step-by-step explanation:
The mean of the data is also known as the average. To find the mean/average, add up all the data and divide it by the number of inputs recorded.
9 + 16 + 13 + 14 + 10 + 16 + 17 + 9 = 104
There are 8 terms.
104 / 8 = 13
The mean is 13.
Hope this helps!
Rashaad has a bag that contains apple chews, strawberry chews, and watermelon chews. He performs an experiment. Rashaad randomly removes a chew from the bag, records the result, and returns the chew to the bag. Rashaad performs the experiment 24 times. The results are shown below:
An apple chew was selected 11 times.
A strawberry chew was selected 5 times.
A watermelon chew was selected 8 times.
Based on these results, express the probability that the next chew Rashaad removes from the bag will be watermelon chew as a fraction in simplest form.
Answer:
1/3
Step-by-step explanation:
8 divided by 24 is .33
which in fraction form is 1/3
Answer:
1/3
Step-by-step explanation:
The bookstore has 37 women's magazines and 37 other magazines. What percentage of the magazines at the bookstore are women's magazines?
Answer: 50%
Step-by-step explanation:
Number of women magazines = 37
Number of other magazines = 37
Total number of magazines = 37 + 37 = 74
The percentage of the magazines at the bookstore that are women's magazines will be:
= Number of women magazines / Total number of magazines × 100
= 37/74 × 100
= 1/2 × 100
= 50%
A man flies a kite and lets out 100 feet of string. The angle of elevation of the string is 52°. How far away is the man from the spot directly under the kite?
Answer:
61.57 ft
Step-by-step explanation:
Look at the picture. You need to find the base value.
so we can sue the cosine formula here.
cos x° = adjacent / hypotaneous
cos 52 ° = adj / 100
adjacent = 100 cos 52°
=61.57 ft
Answer:
the man is 61.6 ft away from the spot directly under the kite.
Step-by-step explanation:
in order to find the bottom length which is b we need to First find the height of this right angle triangle.
to find the height we need to use sin:
sin 52° = X/100
sin 52° * 100 = h
h= 78.8 ft
next we can find b which is the base of the triangle.
a^2+b^2=c^2
100^2 +b^2 = 78.8^2
100^2 -78.8^2 = b^2
b^2= 3790.56
b= √3790.56
b= 61.6 ft
therefore the man is 61.6 ft away from the spot directly under the kite.
Find the circumference of the semi circle 7cm
Given:
A semicircle with radius 7 cm.
To find:
The circumference of the given semi circle.
Solution:
We know that,
Circumference of a semi circle = Half of circumference of the circle + Diameter
[tex]=\dfrac{1}{2}(2\pi r+d[/tex]
[tex]=\pi r+2r[/tex]
Putting [tex]\pi=\dfrac{22}{7},r=7[/tex], we get
Circumference of the semi circle [tex]=\dfrac{22}{7}(7)+2(7)[/tex]
[tex]=22+14[/tex]
[tex]=36[/tex]
Therefore, the circumference of the given semi circle 36 cm.
Lukas depositó $ 3000 en una cuenta de ahorros que genera una tasa de interés del 3.7% compuesto anualmente. ¿Cuál es el valor total de la cuenta después de 5 años?
Answer:
El valor total de la cuenta después de 5 años es de $3,598.
Step-by-step explanation:
Para encontrar la respuesta, tienes que utilizar la fórmula para encontrar el valor futuro:
VF=VP*(1+i)^n
VF=valor futuro
VP= valor presente=$3000
i=tasa de interés=0.037
n=número de periodos de tiempo=5 años
Ahora, puedes reemplazar los valores en la fórmula:
VF=3,000*(1+0.037)^5
VF=3,000*(1.037)^5
VF=3,598
De acuerdo a esto, la respuesta es que el valor total de la cuenta después de 5 años es de $3,598.
find the midpoint of each given points
(4,6),(1,5)
Answer:
( 5/2) (11/2)
Step-by-step explanation:
as given
x1=4
x2=1
y1=6
y2=5
midpoint= (x1+x2/2 ) (y1+y2/2)
=( (4+1)/2 ) (6+5)/2)
=(5/2) (11/2) required midpoints
how do i Add 5/8 = 3/7
Answer:
Add 11/56
Step-by-step explanation:
3/7 = 24/56 (×8)
5/8 = 35/56 (×7)
35/56 - 24/56 = 11/56
Find the sum. Write your answer in standard form.
(7x +13) + (x3 + 4x2 – 8)
Answer:
. Simplify: (4x2 - 2x) - (-5x2 - 8x).
Solution:
(4x2 - 2x) - (-5x2 - 8x)
= 4x2 - 2x + 5x2 + 8x.
= 4x2 + 5x2 - 2x + 8x.
= 9x2 + 6x.
= 3x(3x + 2).
Answer: 3x(3x + 2) Step-by-step explanation:
write a statement that correctly describes the relationship between these two sequences: 2, 4, 6, 8, 10 and 1,2,3,4,5.
Answer:
The relationship between these two sequences is it always doubles. When we look at each sequence, 1, 2, 3, 4, 5, each number is multiplied by 2 to create the other sequence.
1 x 2 = 2.
2 x 2 = 4.
3 x 2 = 6.
4 x 2 = 8.
5 x 2 = 10.
When we arrange these numbers, 2, 4, 6, 8, 10, this is the exact sequence as before. Therefore, this is the relationship.
Answer: 2, 4, 6, 8, 10, < |
|
Step-by-step explanation: | if you just arange the numbers to 1 x 2 = 2 |
2 x 2 = 4 |
2 x 3 = 6 |
and then so on and so on you would get this answerer. |
23. Three businessmen A, B and C enter into
partnership and agree to share the total
profit in the ratio of their investments. A
invested GH¢450, B invested GH¢150
and C invested GH¢600. C received a
profit of GH¢24.70, find
i) the total profit.
ii) the profits made by A and B.
Step-by-step explanation:
A invested 450
B invested 150
C invested 600
total investment was 1200
share of A is 450/1200 = .375
share of B is 150/1200 = .125
share of C is 600/1200 = .5
C received a profit of 24.70.
that would be .5 of the total profit.
if we let x = total profit, we get .5 * x = 24.70
solve for x to get x = 24.70 / .5 = 49.40
A share of total profit = .375 * 49.4 = 18.525
B share of total profit = .125 * 49.4 = 6.175
C share of total profit .5 * 49.4 = 24.7
total profit = 49.4 as we had calculated earlier.
The town of Butler received 6 more inches of snow than the town of Chicora. Let c represent the amount of snow in Chicora. Which algebraic expression represents the amount of snow in Butler?
pls help i have been stuck on this for like an hour now.
Answer:
y=c+6
Step-by-step explanation:
this is the only equation I could think that fits the situation
hope this helped!
HURRY ITS TIMED !!
Look at the table shown below:
х у
0 0
2 3
4 6
6 9
8 12
Determine the slope of the line that passes through the points.
ANSWER CHOICES
A. 1/2
B. 2/3
C. 2
D. 3/2
Answer:
D) 3/2
Step-by-step explanation:
(0 , 0 ) and (2,3)
Slope:
m=(y2-y1)/(x2-x1)
m=(3-0)/(2-0)
m= 3/2
Answer:
D. 3/2Explanation:
Slope = y/x
once the variable x > 0 the table satisfies 3/2
The radius of a circular musical drum is 70 centimeters. Find its area. Use = 3.14 (PLEASE DO NOT PUT UNNECESSARY LINKS)
Answer:
it is basically the radius times 2 and then times 3.14
Step-by-step explanation:
439.6! :D
I need help with this question,im stuck.
Answer:
4
Step-by-step explanation:
ration of rectangle ABCD to EFGH=> 24 : 12=> 2 : 1
2 : 1 = 8 : FG
=> FG = 4
David made a batch of 5 liters of blue liquid everyday for 3 days how many milliliters of blue liquid did he make in all
Answer: 15000 millimeters
Step-by-step explanation:
Since David David made a batch of 5 liters of blue liquid everyday. The number of liters that'll be made for 3 days will be:
= 5 liters × 3
= 15 liters
We should note that 1000 millimeters = 1 liter. Therefore, 15 liters will be converted to millimeters which will be:
= 15 × 1000
= 15000 millimeters
If you can buy four bulbs of elephant garlic
for $8 then how many can you buy with
$72.50?
Answer:
36 bulbs
Step-by-step explanation:
$8/4 = $2 each
72.50/2 = 36.25
Answer:
36 bulbs with $0.25 left over.
Step-by-step explanation:
4 bulbs for $8
8/4 = 2
1 bulb per $2
72.50/2 = 36.25
Susan estimated she would spend $250 on school clothes at the start of the school year. She actually ended up spending only $230. What was her percent of error in her calculations?
Answer:
8.70%
Step-by-step explanation:
Percentage error = (difference between estimated value and actual value / actual amount spent) x 100
difference between estimated value and actual value = estimated value - actual amount
$250 - $230 = $20
($20 / $230) x 100 = 8.6957%
HELP ASAP!!!
thank you if you helped!
Answer:
The quadrant that point A lies on is the second quadrant.
Step-by-step explanation:
The quadrants of a coordinate plane are quadrant I, II, III, and IV; the direction is counterclockwise with the first quadrant being the top right, making the top left quadrant II, bottom left quadrant III, and bottom right quadrant IV. Point A is located in the second quadrant, so that is the correct answer.