Answer:
Correct answer is C
Step-by-step explanation:
The Function is linear but is not a direct variation function
The function is linear but is not a direct variation function.
The correct option is C.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of a line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
As per the information provided:
The points are collinear (i.e. they lie on a straight line), which means that the function is linear. We can find the equation of the line using the two-point form:
(y - 18)/(x - 10) = (30 - 18)/(18 - 10)
Simplifying this equation gives:
y - 18 = 3/2(x - 10)
y - 18 = 1.5x - 15
y = 1.5x + 3
So the function is linear, but not a direct variation function, and has a slope of 1.5.
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The complete question:
A coordinate plane with 3 points is plotted at (10, 18), (14, 24), and (18, 30).
Which statement describes the function through the points?
The function is a direct variation function with a constant variation of 1.5.
The function is a direct variation function with a constant variation of 1.8.
The function is linear but is not a direct variation function.
The function is not a linear function.
What are the values of m and d in the equation y = mx + such that the linear
function is its own inverse, and m is positive?
M=?
B=?
Answer:
The correct equation would be y=mx+b when trying to figure out the y-intercept and the slope of a coordinate. M would be the slope and b would be the y-intercept. For example, if the slope were to be 3 and the y-intercept would be 5, the equation would be, y=3x+5. I don't know if I helped but I hope I did!
The value is of the m and b such that equation y = mx + b is its own inverse will be 1 and 0 respectively.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
Given the linear b,
y = mx + b
Now inverse of this;
x = my + b
my = x - b
y = (1/m)x - b/m
Now,
For both functions equal
m = 1/m and -b = b
So m must be 1 and b must be 0.
Hence "The value is of the m and b such that equation y = mx + b is its own inverse will be 1 and 0 respectively.".
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my question is 2/3x=- 1/2x+5 what does x eqaul
Answer: I think x equals to 0 or 1
A particle moves along the x-axis so that at any time t≥0 its position is given by x(t)=12(a−t)2, where a is a positive constant. For what values of t is the particle moving to the right?
Answer:
For the particle to move to the right, 0 ≤ t ≤ a
Step-by-step explanation:
The particle under motion on the x-axis given by the equation x(t) = 12(a−t)² for t ≥ 0, where a is a positive constant.
To find the values of t for which the particle is moving to the right, this implies that the particle must move along the positive x-axis. This implies that x(t) ≥ 0.
So, to find the value of t for which the particle moves to the right, we solve the inequality x(t) ≥ 0 ⇒ 12(a−t)² ≥ 0
12(a−t)² ≥ 0
(a−t)² ≥ 0
taking square root of both sides, we have
√(a−t)² ≥ √0
(a−t) ≥ 0
a ≥ t ⇒ t ≤ a
So, for the particle to move to the right, 0 ≤ t ≤ a.
Using derivatives, it is found that the particle is moving to the right for [tex]t > a[/tex], that is, values of t in the interval [tex](a, \infty)[/tex].
A particle is moving to the right if it's velocity is positive.
The position of the particle is given by:
[tex]x(t) = 12(a - t)^2[/tex]
The velocity is the derivative of the position, hence:
[tex]v(t) = -24(a - t)[/tex]
If will be positive if:
[tex]-24(a - t) > 0[/tex]
[tex]-(a - t) > 0[/tex]
[tex]-a + t > 0[/tex]
[tex]t > a[/tex]
A similar problem is given at https://brainly.com/question/14516604
find the equation of line shown
how can you be sure the lines you constructed are parallel?
Answer:
think of it as the 2 ells right beside each other in parallel
Step-by-step explanation:
a rectangle has 2 sets of parallel lines also a square
a triangle and a circle do not have parallel lines
4. Find the slope of the line passing through the points
(-1,20) and (2,3)
Find A u B, step by step isnt needed
Answer:
I think it might be C
Step-by-step explanation:
One pack of pencils currently costs $1.19. The cost of one pack of pencils is projected to increase by 135% in the next 5 years. What is the projected cost of a pack of pencils 5 years from now? (Round your answer to the nearest cent.)
Answer: $2.80
Step-by-step explanation:
Given: Cost of one pack of pencils = $1.19
The cost of one pack of pencils is projected to increase by 135% in the next 5 years.
So, the cost of pack of pencils after 5 years = $1.19 + 135% of $1.19
= $ (1.19+1.35(1.19)) [135% = 1.35 since we divide each percent by 100 to convert in decimal]
= $ (1.19+1.6065 )
= $ 2.7965 ≈ $ 2.80 [Rounded to the nearest cent]
hence, the projected cost of a pack of pencils 5 years from now = $2.80
Sergio has *p* paintings in his art collection. He and other local painting collectors agreed to donate a total of 48 paintings to the local museum. Each of the 12 collectors will donate the same number of paintings. How many paintings will Sergio have in his art collection after his donation?
Answer:
p-4
Step-by-step explanation:
Sergio has p paintings in his art collection
He and other local painting collectors donated 48 paintings to the local museum
There are 12 collectors
Therefore each of them will donate
= 48/12
= 4 paintings
Since there are p paintings then the paintings in which Sergio will have in his art collection after donation is p-4
Answer:
p-4
Step-by-step explanation:
i got it off of khan
we have 10 eggs how many plates do we need if each plate holds 2 egg.
ANSWER FASTFOR BRAINLIEST FIVE STAARS AND THXS
Answer:
w
the square root of 95 =9.75 and w is placed at about 9.75
Answer:
W
Step-by-step explanation:
square root of 95 is 9.74 smth
han wants to buy a 30$ ticket to a game but the pre-order tickets are sold out he knows there will be more tickets sold the day of the game with a markup of 200% .How much should Han expect to pay for the ticket if he buys it the day of the game
Answer:
$90
Step-by-step explanation:
Answer:
90$
Step-by-step explanation:
write the equation of the line in slope - intercept form
Answer: y=1/2x+3
Step-by-step explanation: the line goes up 1 and over 2 and the Y intercept is 3
Lucy estimated that is would take 4000 grains of sand to make a pound. That would mean each grain of sand weighs 1/4000 of a pound. In a decimal form, each grain of sand would weigth 0.00025 pounds. Which number expressed in scienfic notation represent the weigth of a grain of sand?
Answer:
25x10^-5
Step-by-step explanation:
We are expected to represent the decimal number in scientific notation
the decimal number is 0.00025
Given that the number in decimal is 0.00025 pounds
in scientific notation we will have to count 4 decimal point to the left from the second number which is 2
=2.5x10^-4
or we can still write it as
25x10^-5
either of the above is correct, only take note of the number of places you count and the sign
1. Tara already knew 4 appetizer recipes before starting culinary school, and she will learn 3 new appetizer recipes during each week of school. Write an equation that shows the relationship between the number of weeks and the number of appetizer recipes.
Answer:
4 + 3w
Step-by-step explanation:
Tara already knew 4 appetizer recipes before starting culinary school, and she will learn 3 new appetizer recipes during each week of school.
Let us represent the number of weeks of the school as w
The equation that shows the relationship between the number of weeks and the number of appetizer recipes is
4 appetizer + 3 new appetizers × w
Number of recipes she knows after w weeks = 4 + 3w
The distance that a car has traveled as a function of time is represented by the table below. Find and interpret the rate of change in context of the situation.Time (hours) Distance (miles)
4 260
6 390
8 520
10 650
Answer:
the car is traveling at a mph of 65 per hour.
Step-by-step explanation:
hope this helped out in some way.
what is 7x squared - 5 - 2x - 3 + 5 simplified
Answer:
7x squared -3-2x
Step-by-step explanation:
you can't do the 7x squared and 2x together because one has a squared and the other one doesn't
(D)
For the equation 5y = 2 express it in form of linear equation.
(A) x + 5y = 2
(B) O-r - Sy-
Answer:
y = 2/5
Step-by-step explanation:
Here, we want to express the equation 5y = 2 in the form of a linear equation.
A linear equation is in the form y = mx + c
What this means is that we have to isolate y
Thus, we can isolate y by dividing both sides by 5
5y/5= 2/5
y = 2/5
Linear function g is shown in the graph. Write the slope-intercept form of the equation representing this function.
Answer:
Y=-2x+1
Step-by-step explanation:
Answer:
all the answers to the test
Step-by-step explanation:
#12: Kara is deciding between The Lyme Point Inn and Ever After Farms for her wedding reception. The Lyme Point Inn charges $3,000 for the venue and $100 for each meal. Ever After Farm charges $5,400 for the venue and $70 for each meal. Write and solve an equation to find the number of meals at which the total cost charged by the two venues would be the same. *
Answer: Required euqtaion: 3000+100x = 5400+70x
Solution: x=80 i.e. The number of meals at which the total cost charged by the two venues would be the same = 80
Step-by-step explanation:
Let x= Number of meals.
For Lyme Point Inn, cost for x meals = 100x
Total cost = 3000+100x
For Ever After Farm, cost for x meals = 70x
Total cost = 5400+70x
When both cots same, then
3000+100x = 5400+70x
⇒ 100x-70x= 5400-3000
⇒ 30x=2400
⇒ x= 80
Hence, the number of meals at which the total cost charged by the two venues would be the same. =80
function f(x)=-2x+7
evaluatef(x) = 5, find x
Answer:
x= 1
Step-by-step explanation:
f(x) = -2x+7
Then, -2x+ 7 = 5
-2x= 5-7
-2x= -2
x=-2/-2
x=1
Ello bought 3 1/2 pounds of candy for 8.00. How much did she pay per pound? Round to the nearest cent if necessary
Answer:
$2.29
Step-by-step explanation:
8 divided by 3.5 is 2.285, so we round up to 2.29 plz mark me brainlest
is the product of a rational number and an irrational number sometimes, never or always rational and sometimes, never or always irrational?
Answer:
Never rational, always irrational.
10. You want to buy popcorn at your local movie theatre and it costs $8.00. If the theatre has a 10%
discount on popcorn, what will be the discount amount?
Answer:
Discount is $0.8. hope this helps.
Step-by-step explanation:
100 % - 10 %= 90%
90% of $8.00
90/100 x 8
720/100
$7.2 is price after discount.
Discount is $8.00 - $7.2
$ 0.8
The cost of a school lunch is $2.50. Complete the table to show the total cost of 1, 2, 3, and 4 lunche
Step-by-step explanation:
If 1 lunch =$2.50
2 lunches = $5.00 (2.50x2)
3 lunches =$7.50
4 lunches =$10.00
5 lunches= $12.50
basically just add $2.50
Using the multiplication principle, the completed table is shown below :
Quantity ___ cost 1 _________ 2.502 ________ 5.003 ________ 7.504 ________ 10.00The total cost for any quantity given can be obtained by taking the product of the quantity and the cost per lunch ;
Hence, the cost of quantities 1, 2, 3, and 4 are $2.50, $5.00, $7.50 and $10.00 respectively.
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Examine the diagram, where quadrilateral MNOP is inscribed in ⨀C such that m∠P=(2x)∘ and m∠N=(2x−12)∘.
What is the measure of m∠P and m∠N?
m∠P=96∘, m∠N=84∘
m∠P=84∘, m∠N=72∘
m∠P=90∘, m∠N=90∘
m∠P=72∘, m∠N=108∘
Answer:
Option (1)
Step-by-step explanation:
Since quadrilateral MNOP is a cyclic quadrilateral, sum of opposite angles of the quadrilateral will be 180°.
m∠P + m∠N = 180°
(2x)° + (2x - 12)° = 180°
4x - 12 = 180
4x = 192
x = 48
Therefore, m∠P = (2x)° = 2×48 = 96°
m∠N = (2x - 12)° = (2×48) - 12 = 84°
Option (1) will be the answer.
Answer:
Option (1)
Step-by-step explanation:
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $2.50 each and sodas cost $1.50each. At the end of the game, David made a total of $120 and sold a total of 72 nachos and sodas combined. Which system of equations represents this situation? (x value represents nachos and y value represents sodas)
(12, 60)
(57, 15)
(61, 26)
(15, 57)
Answer:
it is (12,60)
Step-by-step explanation:
12x2.50= 30.00
60x1.50= 90.00
30+90= 120
PLZ HELP LOOK AT THE PIC
Answer:
A 6
Step-by-step explanation:
19.5÷3.25=6
Hope this helps.
1 point
7. A bank is advertising that new customers can open a savings account
with a 3.75%interest rate compounded annually. Robert invests $5,000 in
an account at this rate. If he makes no additional deposits or withdrawals
on his account, what amount of money will he will have, to the nearest
cent, after three years?
Answer:
18,750
Step-by-step explanation:
First you just listen to what I tell you and you'll get the right answer
Trust me that's the right answer
Lawrence is making a pillow that has a five-sided design. The sides measure 18in, 12in 14 1/4in,12in and 14 1/4. What is the sum of the five sides of this pillow in simplest form
Answer:
70 1/2 inches
Step-by-step explanation:
Lawrence is making a pillow that has a five-sided design. The sides measure 18in, 12in 14 1/4in,12in and 14 1/4. What is the sum of the five sides of this pillow in simplest form
The sum of the 5 sides =
(18 + 12 + 14 1/4 + 12 + 14 1/4) inches
= 18 + 12 + 14+ 12 + 14 + (1/4 + 1/4)
= 70 (2/4)
= 70 1/2 inches
The sum of the five sides of this pillow in simplest form is 70 1/2 inches
