Answer:
C
Step-by-step explanation:
i did it already
Answer:
The equation of the line tangent to the graph of f at x = -1 is
.
Step-by-step explanation:
From Analytical Geometry we know that the tangent line is a first order polynomial, whose form is defined by:
(1)
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- Intercept, dimensionless.
The slope of the tangent line at
is:
(2)


If we know that
,
and
, then the intercept of the equation of the line is:



The equation of the line tangent to the graph of f at x = -1 is
.
Answer:
31877 people with live in the town in 2016 if the population increases at a rate of 6% every 2 years
Step-by-step explanation:
The formula used will be
A(t) = P(1+r)^t
A(t) = Future value
P = population
r = rate
t = time
P= 20,000
r =6% or 0.06
t = 16
Since population is increased every 2 years, so t = 16/2 = 8
Putting value:
A(16) = 20,000(1+0.06)^8
A(16)= 20,000(1.06)^8
A(16) = 31876.9 ≈ 31877
So, 31877 people with live in the town in 2016 if the population increases at a rate of 6% every 2 years
Answer:
Step-by-step explanation:
2/4 × 1/4 = (2×1)/(4×4) = 2/16 = 1/8
Answer:
Each girl scores 8 points while each boy scores 4 points
Step-by-step explanation:
Let the number of point scored by the 7 girls and 2 boys be x and y respectively.
Thus, since 7 girls and 2 boys scored a total of 64 points, then;
7x + 2y = 64 - - - (1)
Also, difference between the number of points scored by the 7 girls and the number of points scored by the 2 boys is 48. Thus;
7x - 2y = 48 - - - (2)
Add eq(1) to (eq 2) to get;
14x = 64 + 48
14x = 112
x = 112/14
x = 8
Put 8 for x in eq(1) to get;
7(8) + 2y = 64
56 + 2y = 64
2y = 64 - 56
2y = 8
y = 8/2
y = 4
Thus,each girl scores 8 points while each boy scores 4 points