Is the following relation a function?
Relation:
Х Y
6 8
5 1
6 6
2 4
The domain:
{2,5,6}
The range:
{1,4,6,8}
Answer: No
Step-by-step explanation:
The domain consists of the numbers 6, 5, 6, 2
6 is repeated twice
The criteria for a function is that there are no repeating numbers in the domain
This does not follow the criteria, therefore this is not a function
Answer-No
please help!!!
I really confused
Answer:
91in in feet 7.5ft
Step-by-step explanation:
a contracter charges 1,200 for 1,100 square feet installed? It costs$ to have 1,100 feet
Answer:
$1,200
Step-by-step explanation:
what is the HL postulate
Answer:
HL Postulate
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E-learning is the future today.
Stay Home , Stay Safe and keep learning!!!
HL Postulate(Hypotenuse - Leg) or RHS theorem -> If any two right angles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
AC ≅ DF , BC ≅ EF and ∠B ≅ ∠E ( both 90 0 )
∴ Δ ABC ≅ Δ DEF by RHS theorem
Theorem : Prove RHS theorem or postulate.
Given : AC = DF , BC = EF and ∠B = ∠E = 90 0
Prove that : ΔABC ≅ ΔDEF
Construction : Extend DE to G so that EG = AB. Join GF.
Statements
Reasons
1) AB = GE 1) Construction
2) ∠B = ∠FEG 2) Each 900
3) BC = EF 3) Given
4) ΔABC ≅ ΔGEF 4) By SAS postulate
5) ∠A = ∠G 5) CPCTC
6) AC = GF 6) If the two angles are congruent then angle opposite to them are equal
7) AC = DF 7) Given
8) DF = GF 8) By transitive property
9) ∠D = ∠G 9) Angles opposite to equal sides in ΔDGF are equal
10) ∠A = ∠D 10) From (5) and (9)
11) ∠B = ∠E 11) Given
12)∠A+∠B=∠D+∠E 12) Adding (10) and (11)
13) ∠C = ∠F 13) ∠A + ∠B + ∠C = 180
and ∠D + ∠E + ∠F = 1800
14) ΔABC ≅ ΔDEF 14) By SAS postulate and from (3) (7) and (13)
Step-by-step explanation:
Answer:
Step-by-step explanation:
HL is the the Hypothenuse Leg Postulate that sais that
If the hypotenuse and leg of one triangle are congruent
to the hypotenuse and leg of another triangle
then the triangles are congruent.
Jordana drew the function below. Which statement correctly explains whether or not her function is linear?
On a coordinate plane, a parabola opens up.
It is linear because it has a constant rate of change.
It is linear because it does not have a constant rate of change.
It is not linear because it has a constant rate of change.
It is not linear because it does not have a constant rate of change.
Answer:
It is not linear because it does not have a constant rate of change
Step-by-step explanation:
See attachment for Jordana's graph
From the attachment, it'll be observed that the graph has a curved line.
This means that the graph is not a linear and does not represent a linear function.
In functions, a linear representation has a constant slope (in other words, constant rate of change) while non linear representations do not.
So, since we've been able to establish that the graph is non linear, then we can conclude that the graph do not have a constant slope.
Base on the analysis above and from the list of given options, option (d) is correct.
Answer:
D
Step-by-step explanation:
credit to person above :)
have a nice day <3
is 5(2−3x) ÷ 6−x2/9 a...
a. coefficient
b.cube
c.factor
d.quotient
Answer:
D, a quotient.
Step-by-step explanation:
The sign ÷ indicates a quotient.
Answer:
D.
Step-by-step explanation:
You are dividing the two numbers which gives you a quotient
For the function y =[tex]3x^{2}[/tex]– 2x + 5, what is the output if the input is 4?
A) 9
B) 21
C) 45
C) 51
ill give brainly to first correct answer
Answer:
C
Step-by-step explanation:
The input is the value of x. Substitute x = 4 into y for output
y = 3(4)² - 2(4) + 5 = 3(16) - 8 + 5 = 48 - 8 + 5 = 45
Thus the output is 45 → C
Games Galore Super Store buys the latest video game at a wholesale price of $30.00. The markup rate at Game's Galore Super Store is 40%. You use your allowance to purchase the game at the store. How much will you pay, not including tax and explain your reasoning. *
Answer:
$42Step-by-step explanation:
By definition, Markup is the difference between a product's selling price and cost as a percentage of the cost.
For example, if a product sells for $125 and costs $100, the additional price increase is ($125 – $100) / $100) x 100 = 25%.
Given data
firstly let us solve for 40% of $30
=40/100*30
=0.4*30
=$12
therefore the sale price will be the markup rate plus the initial price
Hence the you will have to pay 12+30=$42
Which of these angle pairs are congruent because they are corresponding
angles?
Answer:1 and 5
Step-by-step explanation:
i think 1 and 5 are corresponding.
tell me if am wrong
Answer:
A. 1 and 5
Step-by-step explanation:
I just took the quiz, I hope this helps!
Here is a riddle: “I am thinking of two numbers that add up to 5.678. The difference between them is 9.876. What are the two numbers?”
The riddle can be represented with two equations. Write the equations
Answer:
X + Y = 5.678
X - Y = 9.876
The two numbers: X = 7.777 Y = -2.099
Step-by-step explanation: solve by elimination
X + Y = 5.678
X - Y = 9.876 . Add the two equations so the y cancels. Solve for x
2x = 15.554 . Divide both sides by 2
X = 7.777 Substitute in the original equations to find Y
7.777 + y = 5.678 . Subtract 7.777 from both sides
Y = - 2.099
check in the second equation:
7.777 -(-2.099) = 9.876
7.777 + 2.099 = 9.876 True
The two numbers is X = 7.777 and Y = -2.099.
And, the two equation is X + Y = 5.678 and X - Y = 9.876.
Given that,
I am thinking of two numbers that add up to 5.678. The difference between them is 9.876.Here we assume the one number be X and the other number be Y.
Based on the above information, the calculation is as follows:
X + Y = 5.678
X - Y = 9.876
2x = 15.554
X = 7.777
Now
7.777 + Y = 5.678
Y = - 2.099
Therefore, the above should be the answers.
Learn more: brainly.com/question/24169758
Which is the graph of f(x) = RootIndex 3 StartRoot x EndRoot – 4?
Answer:
Graph shown below
Step-by-step explanation:
Cubic Root Graph
The graph of the function
[tex]f(x)=\sqrt[3]{x}-4[/tex]
Is shown in the attached image. Some points are calculated below:
We'll take x={-8,-1,0,1,8}:
[tex]f(-8)=\sqrt[3]{-8}-4=-2-4=-6[/tex]
Point (-8,-6)
[tex]f(-1)=\sqrt[3]{-1}-1=-1-4=-5[/tex]
Point (-1,-5)
[tex]f(0)=\sqrt[3]{0}-4=0-4=-4[/tex]
Point (0,-4)
[tex]f(1)=\sqrt[3]{1}-1=1-4=-3[/tex]
Point (1,-3)
[tex]f(8)=\sqrt[3]{8}-1=2-4=-2[/tex]
Point (8,-2)
The graph of [tex]\rm f(x) = \sqrt[3]{x} - 4[/tex] is attached below and this can be sketched by substituting the values of x in the function f(x) and then plotting the points on the graph.
Given :
[tex]\rm f(x) = \sqrt[3]{x} - 4[/tex]
The following steps can be used in order to determine the graph of the given function f(x):
Step 1 - Determine the value of f(x) at the values of x = {-8,-4,0,4,8}.
Step 2 - At (x = -8) the value of f(x) is given by:
[tex]\rm f(x) = \sqrt[3]{-8} - 4[/tex]
[tex]\rm f(x) = -2 - 4 = -6[/tex]
Step 3 - At (x = -4) the value of f(x) is given by:
[tex]\rm f(x) = \sqrt[3]{-4} - 4[/tex]
f(x) = -5.6
Step 4 - At (x = 0) the value of f(x) is given by:
[tex]\rm f(x) = \sqrt[3]{0} - 4[/tex]
f(x) = -4
Step 5 - At (x = 4) the value of f(x) is given by:
[tex]\rm f(x) = \sqrt[3]{4} - 4[/tex]
f(x) = -2.4
Step 6 - At (x = 8) the value of f(x) is given by:
[tex]\rm f(x) = \sqrt[3]{8} - 4[/tex]
f(x) = -2
Step 7 - Now, plot the points obtained in the above steps on the graph in order to draw the graph of the given function [tex]\rm f(x) = \sqrt[3]{x} - 4[/tex]
The of the function [tex]\rm f(x) = \sqrt[3]{x} - 4[/tex] is attached below.
For more information, refer to the link given below:
https://brainly.com/question/4700926
help anyone?! please
Answer:
Step-by-step explanation:
-3,5
,5,0
I need help with that
Answer:
b=8
Step-by-step explanation:
-11/12 - (-5/12) (I tried to answer it, but when I tried to divide I just got another improper fraction, please help)
Answer:
-11/12 + 5/12
-11+5/12
-6/12
-1/2
Answer:
-6/12
Step-by-step explanation:
1. Change the signs. Two negatives make a positive.
-11/12 + 5/12
2. Add them together.
-6/12
3. Simplify
-1/2
To rewrite the expression ab+a+b+1, Jozelle first writes (ab+a) + (b+1). What property justifies this?
Answer:
I believe it is associative property of addition or commutative
Step-by-step explanation:
What is the Least Common Denominator for the two fractions? 1/4 and 7/10
Answer:
1/4
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
3.5 is less then greater than or equal to 1.5??
Answer:
More than sorry if im wrong
Step-by-step explanation:
Car A travels 170 miles in 4 hours. car B travels 306 miles in 4 hours. car C travels 550 miles in 11 hours. Which car has the fastest average speed?
Answer:
car b
Step-by-step explanation:
car a: 170/4=17.5 mph
car b: 306/4=76.5 mph
car c: 550/11=50 mph
A car dealership increase the price every swing her by 6% devotional price was $37,800. What is the new price?
write the new price in terms of the original price write your answer as a decimal
Answer:
$40,068 no decimals enclode in it18 vocabulary words learned in 2 hours; 27 vocabulary words learned in 3 hours
Answer: They are equivalent
Step-by-step explanation:
Here is the complete question:
18 vocabulary words learbed in 2 hours 27 vocabulary words learned in 3 hours Are they equivalent? Why
From the question, we are informed that 18 vocabulary words are learned in 2 hours. The number of words learned per hour will be:
= 18/2
= 9 words per hour.
27 vocabulary words learned in 3 hours. The number of words learned per hour will be:
= 27/3
= 9 words per hour.
Since they both have identical number of words learned per hour, it means that they're equivalent.
The sum of the speeds of two trains is 717.4 miles per hour. If the speed of the first train is 4.6 miles per hour faster than that of the second train, find the speed of each
Answer:
The second train speed is 356.4 miles per hour
And, the first train speed is 361 miles per hour
Step-by-step explanation:
The computation of the speed of each train is as follows
Given that
The Sum of the speed of two trains is 717.4 miles per hour
Let us suppose the second train speed be x
So for the first train, the speed is x + 4.6
Now the equation is
x + x + 4.6 = 717.4
2x + 4.6 = 717.4
2x = 717.4 - 4.6
2x = 712.8
x= 356.4
Therefore the second train speed is 356.4 miles per hour
And, the first train speed is = 356.4 + 4.6 = 361 miles per hour
Find 3 consecutive odd integers such that 10 times the first is 59 more than the third
9514 1404 393
Answer:
7, 9, 11
Step-by-step explanation:
Let x represent the middle integer. Then the first is x-2, and the third is x+2. The given relation is ...
10(x -2) = 59 +(x +2)
10x -20 = x +61 . . . . eliminate parentheses
9x = 81 . . . . . . . . . . . add 20-x
x = 9 . . . . . . . . . . . . . divide by 9
The integers are 7, 9, 11.
_____
Check
7·10 = 11 +59 . . . true
A container is filled with 100 grams of bird feed that is 80% seed. Tom and Sally want to mix the 100 grams with bird feed that is 5% seed to get a mixture that is 40% seed. Tom wants to add 114 grams of the 5% seed, and Sally wants to add 115 grams of the 5% seed mix. What will be the percent of seed if Tom adds 114 grams?
Answer:
Initially, we had:
100 grams of a mixture that is 80% seed, (or 0.8 in decimal form)
This means that the quotient between the mass of seeds and the total mass of the mixture is equal to 0.8
Then the mass of seeds, x, can be calculated as:
x/100g = 0.8
x = 0.8*100g
x = 80g
We also have another mixture, that is 5% seed (or 0.05 in decimal form)
This means that in X grams of this mixture, there will be y grams of seeds, such that:
y/X = 0.05
y = 0.05*X grams
Now, we want to create a mixture that is 40% seeds (or 0.4 in decimal form).
Let's do this.
If we add X grams of the 5% mixture, the total mass will be:
M = 100g + X.
The total mass of seeds will be:
m = 80g + X*0.05
and we want that the quotient between the mass of seeds and the total mass to be exactly 0.4
m/M = 0.4
(80g + X*0.05)/(100g + X) = 0.4
Let's solve this for X.
(80g + X*0.05) = 0.4*(100g + X)
80g + X*0.05 = 40g + X*0.4
80g - 40g = X*0.4 - X*0.05
40g = X*0.35
40g/0.35 = X = 114.2g
If we want the mixture to be exactly 40% seeds, we need to add 114.2g of the 5% mixture. (We already can see that Tom is closer to the exact result than Sally)
If we add 114g, like Tom wants, we will have:
M = 100g + 114g = 214g
m = 80g + 0.05*114g = 85.7g
m/M = 85.7g/214g = 0.4005
This is a really good aproximation, if we write this in percentage form this would be:
0.4005*100% = 40.05%
Maria paid $240 for a table set after a discount of 40%. What was the original price?
Answer:
The original price was 400 dollars.
Step-by-step explanation:
400 times 0.4 equals 160. 400 minus 160 equals 240. Therefore the answer is 400 dollars.
What is 1/2 times 14x
Answer:
7x
Step-by-step explanation:
This quantity is the same as obtained when dividing 14x by 2: 7x
Are 0.5 and 5 EQUAL TO EACH OTHER?
Answer: nope
Step-by-step explanation:
a conical vessels with base radius 5 cm and height 24cm is full of water this water is emptied into a cylindrical vessel of base radius 10cm find the height to which the water will rise in the cylindrical vessel
please help me
Answer:
[tex]2\ cm[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\Radius\ of\ the\ conical\ vessel=5\ cm\\Height\ of\ the\ conical\ vessel=24\ cm\\Hence,\\As\ we\ know\ that,\\Volume\ of\ a\ cone=\frac{1}{3}\pi r^2h\\Hence,\\The\ volume\ of\ the\ conical\ vessel=\frac{1}{3}\pi (5)^224= \frac{1}{3}\pi 25*24=200\pi \\Hence,\\The\ volume\ of\ the\ conical\ vessel=The\ amount\ of\ water\ filled\ in\ it\\Hence,\\The\ amount\ of\ water\ filled\ in\ the\ conical\ vessel=200\pi\\Lets\ consider\ the\ cylindrical\ vessel:\\Volume\ of\ a\ cylinder=\pi r^2h[/tex]
[tex]As\ we\ are\ not\ said\ that\ the\ cylindrical\ vessel\ was\ empty,\ let\ its\ initial\\ height\ be\ h_1\\Radius\ of\ the\ Cylindrical\ vessel=10\ cm\\Initial\ height\ of\ the\ cylindrical\ vessel=h_1\\Initial\ volume\ of\ the\ cylindrical\ vessel=\pi *10^2*h_1=100h_1\pi \\Initial\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi \\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=Final\ amount\ of\ water\\ in\ the\ cylindrical\ vessel +Amount\ of\ water\ in\ conical\ vessel[/tex]
[tex]Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi +200\pi \\Now,\\Let\ the\ final\ height\ be\ h_2\\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=\pi *10^2*h_2=100h_2\pi \\Hence,\\100h_2\pi =100h_1\pi +200\pi \\Hence,\\100h_2=100h_1+200\\100h_2-100h_1=200\\100(h_2-h_1)=200\\h_2-h_1=2\\Hence,\\As\ the\ rise\ in\ level\ is\ the\ difference\ between\ the\ initial\ and\ final\\ heights:\\The\ rise\ in\ level\ of\ water=2\ cm[/tex]
At hockey practice, Coach Taylor always sets aside 80% of total time for game play. The rest of the practice is spent on the warm up. At practice yesterday, players spent 72 minutes on game play. The players want to know the total practice time.
NEED HELP ANSWER ASAP PLS> GIVING POINTS AND BRAINLIEST!!!
Answer:
90 minutes
Step-by-step explanation:
0.80x=72
divide 72 by 0.80 = 90
check work... 80% of 90 = 72
Answer:
90 minutes
Step-by-step explanation:
Mrs.Johnson gets her morning coffee . She can’t decide which size to order . Which size is better buy ?
Small- 12 oz for $3.95
Medium 16 oz for 4.25$
Large - 20oz for $4.55
Answer:
medium
Step-by-step explanation:
yea sure so according to my calculations small is 3.95 so if we subtract the medium size minus 3.95 which would be 4.25-3.95 the difference is 30 cents now if we subtract large size by small size 4.55-3.95 the difference is .60 cents therefore if she wants to save .60 cents i would choose medium size but large minus medium 4.55-4.25 it would also be .30 cents
What property justifies line 2 to line 3? 4 – 3x2 + 2x – x2 + 3 + x2 Line 1 4 + 3– x2 + x2 – 3x2 + 2x Line 2 7– x2 + x2 – 3x2 + 2x Line 3 7 + 0 – 3x2 + 2x Line 4 7 – 3x2 + 2x
Given:
The steps of simplification of the expression.
[tex]4-3x^2+2x-x^2+3+x^2[/tex]
To find:
The properties to justify the line 2 and line 3.
Solution:
We have,
[tex]4-3x^2+2x-x^2+3+x^2[/tex]
Line 1: [tex]4+3-x^2+x^2-3x^2+2x[/tex] (Rearranging the terms)
Line 2: [tex]7-x^2+x^2-3x^2+2x[/tex] (Combining the constant terms)
Line 3: [tex]7+0-3x^2+2x[/tex] (Additive inverse property)
Line 4: [tex]7-3x^2+2x[/tex] (Additive identity property)
Therefore, the justifications of Line 2 and Line 3 are combining the constant terms and additive inverse property respectively.
