Answer:
Option B.
Step-by-step explanation:
A relation is called a function if there exist unique value of y for each value of x.
In option (a), [tex]\{3,7,-7,9\}[/tex] is set not a relation.
In option (b), [tex]\{(3,9),(7,-4),(-7,7)\}[/tex] is function because there exist unique value of y for each value of x.
In option (c), [tex]\{(3,9),(7,-4),(3,7)\}[/tex] is not function because there exist two value of y, which are 9 and 7, for x=3.
In option (d), [tex]\{(3,9),(7,-4),(7,6),(-7,7)\}[/tex] is not function because there exist two value of y, which are -4 and 6, for x=7.
Therefore, the correct option is B.
Answer: B.{(3,9), (7. - 4), (-7,7)}
Step-by-step explanation: got it right on edge
Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation 5 v plus 7 f equals 28.70, where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent, as needed.
Answer:
one dollar 75 cents
Step-by-step explanation:
lets write the original equation again
5v+7f=28.70
now, lets put in the cost of the fruit to find cost of veggies
5v+7(2.85)=28.70
5v+19.95=28.70
5v=8.75
5=1.75
Answer:
Answer: $1.75
Step-by-step explanation:
Each pint of fruit = $2.85
7 pints of fruit = 2.85 x 7 = 19.95
5 pints of veggies will cost
28.70 - 19.95 = 8.75
Each pint of veggies = 8.75 / 5 = 1.75
If the diagonal distance covered by the stairs pictured is 25 feet, and the horizontal distance is 15 feet, what is the height of the stairs? Round your answer to the nearest foot if necessary
25 feet
22 feet
400 feet
20 feet
Answer: 20 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the diagonal distance covered by the stairs) and a (horizontal distance) and b (vertical distance) are the other sides.
Replacing with the values given:
25^2 = 15^2 + b^2
625 = 225 + b^2
625-225 = b^2
400= b^2
√400 =b
b =20 feet
Feel free to ask for more if needed or if you did not understand something.
Answer: 20 feet
Step-by-step explanation:
From the question, the diagonal distance covered by the stairs is 25 feet, and the horizontal distance is 15 feet. To calculate the height of the stairs, we will use the Pythagoras rule
The square of the diagonal will be equal to the addition of the square of the horizontal distance and the square of the height. This will be:
25² = 15² + height²
height² = 25² - 15²
height² = 625 - 225
height² = 400
height = ✓400
height = 20 feet
The height of the stairs is 20 feet
how to find an unknown angle in a quadrilateral
Find the equation of the line passing through the point (1,−5) and perpendicular to
y= 1/8x +2
Answer:
y=-8x+13
Step-by-step explanation:
you flip the m value
then you plug in the point (1,-5) to find b (y-intercept)
then you get 13.
The equation of the line is y = -8x + 3 passing through the point (1,−5) and perpendicular to y= 1/8x +2.
What is slope of line?Slope of line is defined as the angle of line. It is denoted by m.
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
Let the equation of line : y = mx + c
Given that, the line passing through the point (1,−5) and
The line perpendicular to y = 1/8x +2
To determine the slope of the perpendicular line,
If two lines are perpendicular to each other, the product of their slopes will be -1. Therefore, the slope (m) of the line that is perpendicular to the given line is
m×1/8 = -1
m = -8
Substitute the value of slope m in the first equation,
y = -8x + c
To determine the equation of the line, substitute the found slope (-8) and the point (1,−5) into the point-slope form of a linear equation:
5 = -8(1) + c
-5 = -8 + c
c = -5 + 8
c = 3
So, the required equation of line : y = -8x + 3
Hence, the equation of the line is y = -8x + 3 passing through the point (1,−5) and perpendicular to y= 1/8x +2.
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Sandy surveyed the students in his class. He found that 8 of 31 students like writing with pencils rather then pens. If there are 1,381 students in the school, how may prefer writing with a pencil?
Answer:
5,532.
Step-by-step explanation:
plsssss helppppp i need to do this work in 10 min plss helpp
Answer:
3/2 or 1.5
Step-by-step explanation:
Change in y/ Change in x
3/2
1.5
You're welcome and don't forget to click THANKS
Answer:
3/2 or 1.5
Step-by-step explanation:
Change in y/ Change in x
3/2
1.5
HELP PLEASE
Question 1
The probability that an event will occur is 100%. Which of these best describes the likelihood of the event occurring?
Likely
Certain
Unlikely
Impossible
Question 2
A class has 15 boys and 16 girls. What is the probability that a boy's name is drawn at random?
15 over 31
16 over 31
15 over 16
16 over 15
Question 3
A spinner is divided into sections of equal size, of which some are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 50%. The probability of the arrow landing on a section colored blue is 10%. What is the probability of the arrow landing on a section colored green?
10%
40%
50%
60%
Question 4
The probability that an event will occur is fraction 1 over 8. Which of these best describes the likelihood of the event occurring?
Likely
Certain
Unlikely
Impossible
Answer:
1. certain
2.15/31
3.40%
4.unlikely
Solve the following equation using algebraic operations 3( x-4)= -18
Answer:
x=-2
Step-by-step explanation:
3( x-4)= -18
Divide each side by 3
3( x-4)/3= -18/3
x-4= -6
Add 4 to each side
x-4+4 = -6+4
x = -2
Answer:
x+ -2
Step-by-step explanation:
-18/3= -6 -6+4=-2
Find the sum of the first 14 terms for the sequence -2,10,-50,....
Answer:
Step-by-step explanation:
a=-2
r=10/-2=-5
[tex]s_{14}=a\frac{r^n-1}{r-1} \\=-2\frac{(-5)^{14}-1}{-5-1} \\ =\frac{1}{3}(5^{14}-1)\\=\frac{6103515625-1}{3}\\=\frac{6103515624}{3}\\=2034505208[/tex]
Please help with the question below
Answer:
Not a solution.
Step-by-step explanation:
2=-3/4(3)+3
2=-9/4+3
2 does not equal 3/4.
Therefore, it is not a solution.
Answer:
False
Step-by-step explanation:
Just plug it in.
[tex]2 = -\frac{3}{4}*3 + 3[/tex]
2 = -2.25 + 3
2 ≠ 0.75
It is not equal so it's false.
Please please please help me I’m about to fail
Answer:
3 plus 3 and 9 plsu 9 is 23 or 25 hope it help lil boy or girl
Step-by-step explanation:
the answer is in the top
Please answer the question stated below
Answer:
$252
Step-by-step explanation:
The price of the computer is $400
On saturday it is on sale for 30% off
30% of 400 or .3 x 400 = 120
400 - 120 = 280
Then, if she gets there before 9am there is an addition 10% off of the sale price (280)
So, 10% of 280 or .1 x 280 = 28
280 - 28 = 252
Hope this helps!
Find the lateral surface area of the rectangular prism in centimeters.
A)
196 cm2
B)
218 cm2
C)
232 cm2
D)
240 cm2
The lateral surface area of the rectangular prism is: D. 240 cm²
What is the Lateral Surface Area of a Rectangular Prism?The lateral surface area of rectangular prism = 2(l + w)h.
Given the following:
Length (l) = 9 cmWidth (w) = 6 cmHeight (h) = 8 cmPlug in the values into the formula
Lateral surface area of the rectangular prism = 2(9 + 6)8
Lateral surface area of the rectangular prism = 240 cm²
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Is figure B a scale copy of figure A. Yes or No Please help me thank you
Answer:
Yes
because they both face the same direction
and they triangle in shape
Which set of numbers could be the length of the sides of a right triangle?
A) {10,24,26}
B) {12,16,30}
C) {3,4,6}
D) {4,7,8}
***YOU DON'T HAVE TO SHOW WORK***
Help!
Janella has her hair styled and wants to tip her stylist 18%. Write an equation that could be used to calculate the tip, y, for a bill total of x dollars.
Answer:
10( 3/4x * 9/500y ) = 10
Step-by-step explanation:
We know 18% can also be found
when we take the x amount 75 x 0.18 = 13.50
We thereafter find 75-13.50 = 61.50 for Janella's hair cost plus $13.50 tip.
But for x = 750 x 9/500 = 10
We find 13.50 = 10
x= 1.5
18% coincidentally is 13.5 and 13.5 x 1.5 = 18
So we could redesign and use 18 in the equation
An equation that could be used to calculate the tip, y, for a bill total of x dollars is y=0.18x.
Given that, Janella has her hair styled and wants to tip her stylist 18%.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the tip be y and total bill be y.
So, tip y = 18% of total bill x
⇒ y = 18% of x
⇒ y = 18/100 × x
⇒ y = 0.18x
Therefore, an equation that could be used to calculate the tip, y, for a bill total of x dollars is y=0.18x.
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Nathan is facing west. He takes a quarter-turn anticlockwise. What direction is he now facing?
Nathan is facing West and when he takes a quarter-turn anticlockwise, then he will be facing South.
A quarter-turn anticlockwiseA quarter-turn anticlockwise means turning [tex]90^{\circ}[/tex] toward the left side.
How to find the direction?Suppose a circle where Nathan is facing West.
Now when he takes a quarter-turn anticlockwise means [tex]90^{\circ}[/tex] toward the left side, he would end up facing South.
So, the direction in which he is facing is South.
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14. Catherine found that as she increases the price of a chocolate bar, the number of sales per week decreased.
Answer: the higher the price is the less competitive the sales
Step-by-step explanation:
say i were to raise a price extremely from $2 to $6 you would buy the other brand of candy that is $2
I NEED HELP PLS IF U HAVE THE WORK PLS PUT IT PLSSSSSS!!!:)
Answer:
33. (2,7) graph's provided
34. g) it goes thru +2 on the y axis and it looks like it has a slope of -1, so -x
35. sorryyyy, i just honestly dont get it
A baker is making bread rolls. He divides his dough into 8 equal pieces. He then cuts each one of these pieces into three, each of which is a single bread roll. He sells the rolls in bags of 4. original dough is in one bag of rolls give your answer in its simplest form
Answer:
6 bags
Step-by-step explanation:
8x3=24
24/4=6
PLEASE HELP ME OUT. THIS IS DUE TODAY.
Answer:
Round up because it is necessary to count the extra decimal payment as another payment. You can't round down because then it wouldn't all be paid off.
Steven paid $52 in sales tax. The retail price of the item was $966. What is the sales tax percentage?
Answer:
5.38%
966/52 = 0.05383022774
Step-by-step explanation:
5.38 can also be 5.4%
As proved.
We can write this as 52>52.2
To find 52>52.49 we only have to divide it by the larger number.
52.49/966 = 0.05433747412
or multiply to check.
966 x 0.054 = 52.164 sales tax = 5.4% paid
966 x 0.053835 = 52.00461 = 5.38 % paid
Both these amounts or in-between would be sales tax percentage
But exact would be 5.38%
Answer:
5.383%
Step-by-step explanation:
To find what percent a part is of a number, divide the part by the number and multiply by 100%.
part = 52
number = 966
percent = 52/966 * 100% = 5.383%
pls help i give brainliest and 5 stars
Answer:
r = 9 m
Step-by-step explanation:
The volume of a sphere is defined as:
[tex]V = \frac43 \pi r^3\\[/tex]
if this is equal to 972π, then r³ = 972 * 3/4
so r = ∛729 = 9
Answer:
The radius of sphere is 9m.
Step-by-step explanation:
Given that the formula of volume of sphere is V = 4/3×π×r³ and it is 972π m³. So you have to substitute the value into the formula, in order to find radius :
[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
Let V = 972π,
[tex]972\pi = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]972 = \frac{4}{3} {r}^{3} [/tex]
[tex]972 \div \frac{4}{3} = {r}^{3} [/tex]
[tex] {r}^{3} = 729[/tex]
[tex]r = \sqrt[3]{729} [/tex]
[tex]r = 9metres[/tex]
How much is a penny and a quarter
Answer:
check google
Step-by-step explanation:
Answer: 26¢
Step-by-step explanation: A penny equals 1¢ and a quarter is 25¢ so together that would make 26¢
Hey so I'm doing slope-intercept and I understand it and have been moving on, but I'm confused at this: "2 = -4 + b 6=b" How did the -4+b turn into 6=b?
Answer:
By adding 4 to both sides.
2= -4 +b
2= b -4
2+4= b-4 +4
6= b
Another way to look at it is to move all the constants to one side. Here we have the constant 2 on the left hand side, and on the right we have the constant -4 and the variable b.
To isolate b, we move the constant -4 to the left hand side. Moving a number to the other side of the equal sign changes the sign of the number. So, -4 becomes a +4 on the left hand side.
2 +4= b
6= b
Which equation represents the line that passes through (-6, 7) and (-3, 6)?
y=-3x+9
y=-3x + 5
y=-3x – 11y
y=-3x + 25
Answer:
y=-3x+5
Step-by-step explanation:
y²-y¹=gradient
x²-x¹
6-7=gradient
-3+6
-1/3=gradient
y-6/x+3=-1/3
y-6=-1/3(x+3)
y-6=-1/3x-1
y=-1/3x+5
Here is a picture of a Ferris wheel. It has a diameter of 80 meters.
About how far does a rider travel in one complete rotation around the Ferris wheel? Round your answer to the nearest whole number. Use 3.14 for π.
Enter your answer in the box below.
_____ meters
Answer:
251.2 m
Step-by-step explanation:
Circumference = 2 x π x r
C = 2 x 3.14 x 40
C = 251.2
Circumference of a circle
The path or the boundary that encircles any shape is defined by its circumference. In other words, the perimeter is another name for the circumference, which makes it easier to determine how long a shape's outline is. The circle's perimeter is measured in this way. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it.
We take radius of the circle and pi to calculate the circumference of circle.
The formula of circumference of circle is 2πr.
R is radius of the circle and π is mathemetical constant which value approx 3.14
In the question it is given that the diameter of a wheel is 80m. So, radius is half of diameter, 40m.
So, the circumference = 2πr
= 2 × 3.14 × 40 = 251.2m
Rider has to travel 251.2m to cover one complete rotation.
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Five of Teddy’s six cousins can
do 15 push-ups in one set. Which
decimal is equivalent to the fraction
of Teddy’s cousins who can do
15 push-ups?
Answer: 0.83
Step-by-step explanation:
The fraction of Teddy's cousins what can do push-ups is [tex]\frac{5}{6}[/tex]. We get this fraction because the problem states that 5 of Teddy's 6 cousins can do 15 push-ups. Now that we have our fraction, we divide to get our decimal.
[tex]\frac{5}{6} =0.83[/tex]
Answer:
0.83 with the 3 as the repeating number (3 with the line over it)
Step-by-step explanation:
5 divided by 6
Plz answer number 6 and 4
Match each equation to the situation it represents.
Answer:
Step-by-step explanation:
1) Kate:
Number tickets = x
Cost of 10 tickets = 10x
Parking fee = $ 5
Total money spend = $ 35
10x + 5 = 35
2)Ram:
Number of pen given to a friend =x
Number of pen given to 5 friends = 5*x = 5x
Number of pens left with him = 10
Total pens he had before giving to his friends = 35
5x + 10 = 35
Answer:
Left. Right
1. - c
2. - b
3 - a