I think the answer is the first one f(2) = g(2) and f(0) = g(0)
<h3>
Answer: D) common ratio</h3>
Explanation:
The four points on this curve are
(1, 3)
, (2, 6), (3, 12)
, (4, 24)
The equation of the curve that goes through all the points mentioned is
y = 3*2^(x-1) which is equivalent to y = 1.5*2^x
Both equations are exponential equations.
Sequences of the form
a(n) = a*(r)^(n-1)
are geometric sequences with common ratio r. In this case, r = 2.
Note how the jump from 3 to 6 is "times 2", so is from 6 to 12, and from 12 to 24. We multiply each term by 2 to get the next one.
Answer:
Step-by-step explanation:
We have given the equation y = 6 sin (x)
On differentiating both side 
As it passes through the point 
So 
Now the unit vector is parallel to the tangent so m will be 5.196
This passes through the point
So unit vector will be 
a = amount (in oz) of solution A
b = amount of solution B
The scientist wants a mixture of 110 oz, so
a + b = 110
Solution A consists of 65% salt, so each ounce of solution A contributes 0.65 oz of salt; similarly, each ounce of B contributes 0.9 oz. The mixture is supposed to consist of 75% salt, which amounts to 0.75 * (110 oz) = 82.5 oz of salt. So
0.65 a + 0.9 b = 82.5
Solve for a and b:
b = 110 - a
0.65 a + 0.9 (110 - a) = 82.5
0.65 a + 99 - 0.9 a = 82.5
0.25 a = 16.5
a = 66 ==> b = 44
Answer:
(8,10) is not a solution
Step-by-step explanation:
Cuz it’s not on both inequality shaded part but just one of them and also when we substitute one is true and the other one is false
2x + y _< 8
2(8) + 10 _< 8
18 + 10 _< 8
28 _< 8 false
X + y _> 4
8 + 10 -> 4
18 _> 4 true
