Since you are given a list of choices, you can go through each choice to plug them into the equations. It turns out that choice B is the answer
(3,1) means that a = 3 and b = 1
Plug in a = 3 and b = 1 into the first equation
2a - 5b = 1
2*3 - 5*1 = 1.... replace 'a' with 3, replace b with 1
6 - 5 = 1
1 = 1
we get a true equation, so we have confirmed the first equation
Do the same for the second equation
3a+5b = 14
3*3+5*1 = 14 .... replace 'a' with 3, replace b with 1
9+5 = 14
14 = 14
we get a true equation, so the second equation has been confirmed
Both equations are true when (a,b) = (3,1). So the answer (3,1) has been confirmed fully
Answer:
The slope of tangent at point (1,-2) is 
.
Step-by-step explanation:
The given equation of ellipse is
Differentiate both sides with respect to x.
Calculate the value of \frac{dy}{dx} at (1,-2).
Therefore the slope of tangent at point (1,-2) is .
Answer:
0.9%
Step-by-step explanation:
Given that:
A nest of ant is represented by the exponential growth function :
P(w)=24,000(1.063)^w
Where w = number of weeks
Recall :
Growth function is generally represented as :
P(t) = A(1 + r)^t
Where ; A is the initial population figure; r = growth rate and t = time
Hence, the growth rate per week of the function given is :
(1 + r) = 1.063
r = 1.063 - 1
r = 0.063
Number of days in a week = 7
Hence, growth rate per day = r /7
0.063 / 7
= 0.009
(0.009 * 100%) = 0.9%
Well trees are living things like humans they are very helpful like people they have arms like people and the leaves are kinda like hair
Given:
The expression is
To find:
The value of the given expression closest to the whole number.
Solution:
We have,
Cancel out the common factors from each fraction.
Therefore, the value of the given expression is 1.
