Answer:
The decimal form of the equation is y = 2.5x + 10
The equivalent fraction form is y = (5/2)x + 10 because 5/2 = 2.5
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Explanation:
We can pick any two columns from the table to form the two points needed.
I'll pick the first two columns
(1, 12.5)
(2, 15)
Then apply the slope formula to those points
m = (y2-y1)/(x2-x1)
m = (15-12.5)/(2-1)
m = (2.5)/(1)
m = 2.5
Now use that slope with either point mentioned to find the y intercept b.
y = mx+b
12.5 = 2.5*1 + b
12.5 = 2.5 + b
12.5 - 2.5 = b
10 = b
b = 10
Or
y = mx+b
15 = 2.5*2+b
15 = 5+b
15-5 = b
10 = b
b = 10
We end up with the same b value.
We found that m = 2.5 is the slope and b = 10 is the y intercept
Therefore we go from y = mx+b to y = 2.5x + 10
This is the same as saying y = (5/2)x + 10 since 2.5 = 5/2
Answer:
0.102048 ampere
Step-by-step explanation:
I α k / R
Current = 1/5 ; R = 8750
What is the current when the resistance is 17150 ohms
First obtain the value of k :
I = k/R
I = 1/5 ampere = 0.2 A
0.2 = k / 8750
k = 1750
What is the current when the resistance is 17150 ohms
I = 1750 / 17150
I = 0.1020408
I = 0.102048 ampere
Answer:
y = -3x + 2
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is y = -3x + 7. Its slope is -3. A line parallel to this one will also have a slope of -3.
Plug this value (-3) into your standard point-slope equation of y = mx + b.
y = -3x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (2, -4). Plug in the x and y values into the x and y of the standard equation.
-4 = -3(2) + b
To find b, multiply the slope and the input of x (2)
-4 = -6 + b
Now, add 6 to both sides to isolate b.
2 = b
Plug this into your standard equation.
y = -3x + 2
This equation is parallel/perpendicular to your given equation (y = -3x + 7) and contains point (2, -4)
Hope this helps!
Answer:
1655
Step-by-step explanation:
Note the common difference d between consecutive terms of the sequence
d = - 1 - (- 4) = 2 - (- 1) = 5 - 2 = 8 - 5 = 3
This indicates the sequence is arithmetic with sum to n terms
= [ 2a₁ + (n - 1)d ]
Here a₁ = - 4, d = 3 and n = 90, thus
= [ (2 × - 4) + (89 × 3) ] = 45(- 8 + 267) = 45 × 259 = 1655
<h3>
Answer: 3/5</h3>
Work Shown:
3 blue + 3 red = 6 pens that are either blue or red
4 black + 3 blue + 3 red = 10 pens total
6/10 = 3/5 is the probability of selecting either blue or red
3/5 = 0.60 = 60%