Which of the following relations DOES NOT represent y as a function of x? I. {(2,8), (8,5), 8,-2), (0,8)} II. {(1,9), (8,0), (9,2), (10,-5)} III. {(1,2), (8,2), (-8,2), (7,2)} IV. {(3,9), (7,3), (8,0), (3,-5)}
Answer:
IV. {(3,9), (7,3), (8,0), (3,-5)}
Step-by-step explanation:
this is because the x-values are the same in (3,9) and (3,5) which means that relation does not represent a function.
Orchestra Tonight is selling tickets for its local performance. Orchestra fans can buy tickets to sit in the balcony or on the top floor of the concert hall. Tickets for balcony seats are $83 each. Tickets for seating on the floor are 60% of the price of the balcony tickets. Which inequality represents all possible combinations of f, the number of tickets for floor seats and b, the number of tickets for balcony seats, that a person can buy and spend no more than $560. a 83b+138.33f>560 b 83b+49.8f>560 c 83b+49.8f\le560 d 83b+138.33f\le560
Answer:
c
Step-by-step explanation:
Given that:
Cost of balcony seat = $83
Cost of seating on floor = 60% of balcony seat = 0.6 * $83 = $49.8
Number of tickets for floor seat = f
Number of tickets for balcony seat = b
Total amount to spend should not exceed $560;
[(Cost of balcony ticket * number of balcony tickets) + ( cost of floor tickets * number of floor tickets)] ≤ 560
83b + 49.8f ≤ 560
The closest from the options given is :
83b + 49.8 < 560
Bob is hiking down a 15-mile country trail. He could hike at 5 mph for the first 2 hours and then go the rest of the way at 3 mph or he could just go the whole way at 4 mph. How long would each of these options take?
Answer:
1) 11/3 hours or about 3.67 hours.
2) 3.75 hours.
Step-by-step explanation:
Let’s determine the time it will take for Bob to hike for each of the options.
Option 1) Hiking 5mph for 2 hours, then 3mph.
The total distance is 15 miles.
If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.
Therefore, 15-10 or 5 miles still needs to be covered.
To find how long that will take, we can simply divide the distance by the rate.
We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.
So, it will take another 1.67 hours to complete the hike.
So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.
Option 2) Hiking 4mph the entire way.
The total distance is 15 miles.
If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.
So: 15/4=3.75.
Therefore, it will take 3.75 hours to hike the entire distance going 4mph.
Answer:
1) 11/3 hours or about 3.67 hours.
2) 3.75 hours.
Step-by-step explanation:
Let’s determine the time it will take for Bob to hike for each of the options.
Option 1) Hiking 5mph for 2 hours, then 3mph.
The total distance is 15 miles.
If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.
Therefore, 15-10 or 5 miles still needs to be covered.
To find how long that will take, we can simply divide the distance by the rate.
We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.
So, it will take another 1.67 hours to complete the hike.
So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.
Option 2) Hiking 4mph the entire way.
The total distance is 15 miles.
If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.
So: 15/4=3.75.
Therefore, it will take 3.75 hours to hike the entire distance going 4mph.
Step-by-step explanation:
5x≥7 solve the equation plz I need help
Answer:
Step-by-step explanation:
5x≥7
Divide both sides by 5
x ≥7/5
2. Find the roots of the following quadratic equations by factorisation:
100x2 - 20x + 1 = 0
Answer:
x = [tex]\frac{1}{10}[/tex]
Step-by-step explanation:
Given
100x² - 20x + 1 = 0 ← this is a perfect square
(10x - 1)² = 0, thus
10x - 1 = 0 ( add 1 to both sides )
10x = 1 ( divide both sides by 10 )
x = [tex]\frac{1}{10}[/tex]
Answer:
Step-by-step explanation:
100x^2-20x+1=0
100x^2-(10+10)X+1=0
100x^2-10x-10x+1=0
10x(10x-1)-1(10x-1)=0
(10x-1)(10x-1)=0
So roots are X=1/10,1/10
help please please help me on this
Answer: It equal 6
Step-by-step explanation:
What are the excluded values of x for
Answer:
x = - 2, x = 9
Step-by-step explanation:
Given
f(x) = [tex]\frac{x^2-9x}{x^2-7x-18}[/tex]
The denominator of f(x) cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the values that x cannot be.
x² - 7x - 18 = 0
(x - 9)(x + 2) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 9 = 0 ⇒ x = 9
The excluded values are x = - 2, x = 9
Scientific notation The table shows the amount of money raised by each region the four regions used a total of $ (5.38×10^4) How much money did the West Raise?
9514 1404 393
Answer:
$8.65×10^3
Step-by-step explanation:
The amount the West raised is the difference between the total and the sum of the other amounts raised. It is convenient to use a multiplier of 10^4 for each of the numbers, so the number for South can be rewritten as 0.675×10^4.
West = 5.38×10^4 -1.46×10^4 -2.38×10^4 -0.675×10^4
= (5.38 -1.46 -2.38 -0.675)×10^4
= 0.865×10^4 = 8.65×10^3
West raised $8.65×10^3.
_____
Your calculator can figure this for you. You can set the final display to scientific notation format, if you need to.
Which graph is the solution of the following systems
HELP ON ON GRADPOINT
Express 9% as a fraction in simplest form.
Answer:
[tex] \frac{9}{100} [/tex]
Step-by-step explanation:
9% =0.09 =9/100
9/100 cannot be simplified so that's your answer.
9% as a fraction in simplest form is 9/100.
To express 9% as a fraction in simplest form, we first recognize that "percent" means "per hundred."
Thus, 9% is equivalent to 9 per 100 or 9/100.
However, to simplify this fraction further, we find the greatest common divisor (GCD) of the numerator (9) and the denominator (100), which is 1.
Dividing both the numerator and denominator by their GCD yields 9/100.
Hence, 9% as a fraction in simplest form is 9/100.
This means that 9% represents nine parts out of 100 equal parts, making it a concise and clear representation of a percentage as a fraction.
Learn more about fraction here
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[tex] \frac{13x - 37}{2} = 2x + 13 \\ [/tex]
Multiply sides by 2
[tex]2 \times \frac{13x - 37}{2} = 2 \times (2x + 13) \\ [/tex]
[tex]13x - 37 = 4x + 26[/tex]
Subtract sides 4x
[tex] - 4x + 13x - 37 = - 4x + 4x + 26 \\ [/tex]
[tex]9x - 37 = 26[/tex]
Add sides 37
[tex]9x - 37 + 37 = 26 + 37[/tex]
[tex]9x = 63[/tex]
Divide sides by 9
[tex] \frac{9x}{9} = \frac{63}{9} \\ [/tex]
[tex]x = 7[/tex]
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[tex]DE = 2x + 13[/tex]
[tex]DE = 2(7) + 13[/tex]
[tex]DE = 14 + 13[/tex]
[tex]DE = 27[/tex]
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The correct answer is Option four .
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Raina drove 936 miles in 13 hours.
At the same rate, how long would it take her to drive 576 miles?
Answer:
8 hours
Step-by-step explanation:
72 miles per hour
576/72= 8
the polygons in each pair are similiar. help find the missing side length???
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
Since the polygons are similar, we can use the formula: [tex]\frac{x}{15}=\frac{32}{40}[/tex]. Using cross-multiplication , we obtain: [tex]40x=15*32\\x=\frac{15*32}{40}= 12[/tex].
Is 4/8 equal to 6/12?
Answer:
yes becauseeee:
4/8 if we divide both by 4 be get 1/2
and with 6/12 if we divide both by 6 we also get a half
Mila reads at a rate of 3 paragraphs per minute.
After reading for 4 minutes, she had read a total of 12 paragraphs.
This situation can be represented with a linear equation written in point-slope form, where x represents the number of minutes and y represents the number of paragraphs.
Use this information to complete each statement about the linear equation.
Answer:
y= 3x
Step-by-step explanation:
This is honestly your basic times tables if we are being honest. We know that she read 3 paragraphs per minute. We also know that in 4 minutes, she read 12 paragraphs. 4 times 3 = 12. So the answer is y=3x.
Answer:
slope of the linear equation is 3
a point on the graph of a linear equation is (4,12)
linear equation can be written as y-12 = 3 (x-4)
Step-by-step explanation:
Cuz it is
Penny compared the price of gumdrops at two stores. At Save-More Market, gumdrops are $3.95 per pound. At the Buy-Here Warehouse, the price is two pounds for $6.50. Which store has the better buy? Explain your answer.
Answer:
Buy-Here Warehouse has the better deal.
Step-by-step explanation:
divide
$6.50 divided by 2 = $3.25
$3.25 costs less than $3.95 for a pound
Find the values of x and y if
Answer:
see explanation
Step-by-step explanation:
Since the triangles are congruent then corresponding sides are congruent, then
CA = NE , that is
4x + 3 = 11 ( subtract 3 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
----------------------------------------
AR = EW, that is
4y - 12 = 10 ( add 12 to both sides )
4y = 22 ( divide both sides by 4 )
y = 5.5
-------------------------------------------
NW = x + y = 2 + 5.5 = 7.5
CR = NW = 7.5
Please help me!! <:,)))
Answer:
7
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an
exterior angle that's complementary to the third interior angle
60 + 4 + 8x = 8 + 16x add like terms
8x + 64 = 16x + 8
64 - 8 = 16x - 8x
56 = 8x divide both sides by 8
7 = x
Evaluate (2 * x - 4) for x = 2
Answer:
0
Step-by-step explanation:
The expression we are given is (2 * x - 4).
We need to find the value of expression when x = 2.
Let's substitute 2 in as x.
Now our expression is (2 * 2 - 4).
First, let's multiply our 2 with our substituted 2.
1. 2 * 2 = 4
We're left with (4 - 4).
Finally, let's evaluate this expression.
2. (4 - 4) = 0.
Our answer is 0.
So (2 * x - 4) when x = 2 is 0.
Feel free to give brainliest.
Have a great day!
Started at 10° and rose 1° each minute
Answer:
1, -2, 2, [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
how do I solve 9x-4= -44
Blaine bought a bag of 20 apples. When she got home, she found that 20%
of the apples were bad. How many bad apples were in the bag?
Answer:
4
Step-by-step explanation:
20 percent * 20 =
(20:100)* 20 =
(20* 20):100 =
400:100 = 4
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
3. Roger runs 8 miles per hour. He ran for h
hours to run 6 miles.
Write the equation for this situation
Answer:
8h
Step-by-step explanation:
8 miles per hour
h hours
plug in h for how many hours
8 divided by 6 is 1.3
1.3 hours to run 6 miles
1
The area of a rectangular dog pen is 8-square feet.
2
2
If the width is 3 feet, what is the length, in feet?
A line with a slope of 3 passes through (2,5). Which choice is an equation of this line?
Answer:
y=3x-4
Step-by-step explanation:
a slope of 3 means that the equation will definitely start like this
y=3x +/- b
to find b, substitute the coordinates given, so
5=3 x 3 +/- b
5=9 +/- b
5-9=b
-4=b
so the equation would be
y=3x-4
science pls answer I give brainliest
Answer:
I would say B
Step-by-step explanation:
Some inland areas can be warm but cold where-as some places near the coast stay warm most of the time
Find the equationof a circle whose centre is (-3-15) and passing point (5,-1) find the equation of circle..
Answer: [tex](x+3)^{2} +(y+15)^{2}=260[/tex]
Step-by-step explanation:
The centre is (-3,-15), so we can say the equation of circle is [tex](x+3)^{2} +(y+15)^{2}=r^{2}[/tex]. put (5,-1) at this equation.
then, we can know [tex]r^{2}=260[/tex].
∴ [tex](x+3)^{2} +(y+15)^{2}=260[/tex]
ILL GIVE BRAINLEST!
Probably a proccess look it you should be able to find it on the web. You got this!
Answer:
the 2nd one is the 2nd one the 1st one is the 3rd one and the last one is the 1st one brainlest pleaze
Step-by-step explanation:
What inputs of this function have an output of -2?
Answer:
-7 and 5
Step-by-step explanation:
The output of a function is seen as the y-value so when you find the y-value of -2 they are on the x-values (or inputs) -7 and 5
Evaluate the expression
2 − 52 ÷ 5 + 8
Answer:
32
Step-by-step explanation:
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Answer:
decimal= -0.4
exact form=-2/5
Step-by-step explanation: