Answer:
96:144
Step-by-step explanation:
Since there are 240 students and the known value is 96 students buying lunch, you simply subtract the two numbers.
240 - 96 = 144
There are 144 students bringing bag lunch.
The ratio is asking students purchasing lunch to students bringing a bag lunch, which would be 96:144
The simplified answer is 2:3
To get this, divide 144 by 96
This, in turn, would give you in answer of 3/2 which can be inversed to get the right answer
while excluding 0, the product and quotient is positive if operating between same sign, otherwise if we operating different sign will resulted negative.
The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.
y² = x
Take the derivative of both sides with respect to x, assuming y = y(x) :
2y dy/dx = 1
dy/dx = 1/(2y)
Solve for y when dy/dx = 1 :
1 = 1/(2y)
2y = 1
y = 1/2
When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.
This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :
x = y² ⇒ y = y² + 3 ⇒ y² - y + 3 = 0
has no real solution for y.
Answer:
Step-by-step explanation:
In a geometric sequence, consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as
an = a1r^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the given sequence,
a1 = - 5
r = 15/- 5 = - 3
Therefore, the explicit rule for this sequence is
an = - 5(- 3)^n - 1
