Answer:
y = 15x - 10
Step-by-step explanation:
slope is given: 15
(x, y) is given: (1, 5)
plug values into y = mx + b:
5 = (15)(1) + b
solve for b:
b + 15 = 5
b = -10
rewrite the equation:
y = 15x - 10
Answer:
Step 1
Step-by-step explanation:
When moving the 4 to the other side, Viet was supposed to subtract 4 from each side, leaving 0 on the left, and 102-4 on the other side. 102-4=98, not 106. Viet added when he was supposed to subtract.
Answer:
x = 8, y = 2
Step-by-step explanation:
Multiply the second equation by -2:
x + 6y = 20
-2x - 6y = -28
Add the equations and simplify:
-x = -8
x = 8
Plug x = 8 back into the first equation and solve for y:
8 + 6y = 20
6y = 12
y = 2
Answer:
The number of students who took English and History, but not Math is 143.
Step-by-step explanation:
Denote the subject choices as follows:
<em>M</em> = a students was taking Math
<em>E</em> = a students was taking English
<em>H</em> = a students was taking History
The data provided is as follows:
N (M) = 257
N (E) = 282
N (H) = 323
n (M ∩ E) = 154
n (M ∩ H) = 171
n (E ∩ H) = 143
n (M ∩ E ∩ H) = 80
Consider the Venn diagram below.
From the provided data and the Venn diagram the value of the set E and H minus M is 143.
Thus, the number of students who took English and History, but not Math is 143.