Answer:
The cost of 1 cupcake = $3.75.
Step-by-step explanation:
Let the cost of one cupcake = $ x.00
Now, the money spent by Cherie on 2 cupcakes = 2 ($x.00) = $2x
Also, the money spent by Sonya on 4 cupcakes = 4 ($x.00) = $4x
Now, according to the question:
$2x + $12.50 = $4x + $5.00
or, 2x + 12.50 = 4x + 5
⇒ 4x - 2x = 12.50 - 5
or, 2x = 7.50
or, x = 7.50/2 = 3.75
or, x = $3.75
Hence, the cost of 1 cupcake = $3.75.
Answer:
1. Function
2. Not a function
3. Function
4. Not a function
Step-by-step explanation:
A function just means that for each input it outputs only 1 output. This output isn't necessarily unique. So for example if you're just given: f(2) = 3 and f(1) = 3, this is a function since each input only outputs 1 value, even though the output isn't unique, but if you're given: f(3) = 2, f(2) = 1, f(3) = 3. that's not a function since f(3) outputs both 2 and 3.
Anyways now that you hopefully understand this, let's look at each image.
Relation 1: (Function)
So for each input (the domain) it's only pointing to one output (range), even if multiple input (the domain) are pointing to the same output (the range), it's still a function.
Relation 2: (Not a function)
This is not a function, since if you look at the input 7 (the range), you'll see it outputs two things (range). It outputs -6 and -7. So this is not a function
Relation 3: (Function)
This is a function since each x-value (input) has only one y-value (output). So it's a function
Relation 4: (Not a functio)
This is not a function, since there are multiply coordinates with the same x-coordinate (input) and different y-coordinates (output). The x-coordinate 2 has the output b, y, and m, and since no value is given for these variables, it can be assumed they're different values, thus it's not a function.
Answer:
2:50
Step-by-step explanation:
On an ordinary clock, there are 24 hours.
1) 6/24 = 0.25 (The percentage in which the day has passed)
2) 10 (total hours in a day in the decimal clock) * x 0.25 = 2.50
3) 2.5 Hours. On a typical clock, that would read 2:30, however, because the decimal clock proposes that there are 100 minutes in one hour, it will be 2:50, Therefore, the clock will display 2:50
Speed = distance/time
distance = speed * time
let x = time covered by running
15 = run distance + walk distance
15 = 9(x) + 3(3-x)
15 = 9x + 9 - 3x
15 - 9 = 6x
6 = 6x
x = 1 hour
Therefore:
Running distance = speed * time
RD = 9km/hr * 1 hr
RD = 9km
❤️Hello!❤️For experimental data it may be good to use linear regression.
For precise data you do not need linear regression.
Step-by-step explanation: If you have a number of experimentally generated data points that are subject to inaccuracies then you can use something like linear regression to generate a linear model that fits the data reasonably well. Many modern calculators have a linear regression capability.
On the other hand, if you are given precise data, you should be able to generate a model that fits the data exactly. For example, given points (
x
1
,
y
1
) and (
x
2
,
y
2
) which are supposed to lie on a line, the equation of the line in point-slope form is:
y
−
y
1
=
m
(
x
−
x
1) where m
=
y
2
−
y
1
x
2
−
x
1 from which we can derive the slope-intercept form:
y
=
m
x
+
c where c
=
y
1
−
m
x
1. ☯️Hope this helps!☯️ ↪️ Autumn ↩️
