1)
y = ax+b
6 = 3a + b
18 = 5a + b
b = 6 - 3a
18 = 5a + 6 - 3a
2a = 12
a = 6
b = 6 - 18
b = -12
f(x) = 6x -12
2)
y = 2
No, because y ≠ 4
x = 2
No, because it's vertical<span>
</span>
y = 4
Yes, because x ∈ <span>ℝ and y = 4
</span>
x = 4
No, because it's verical
A= -1/4 because for the slope you go down one and to the left 4 times.
Answer:
The diver will take 2.449 seconds to enter the water.
Step-by-step explanation:
We have been given that quadratic equation for the diver jumps is
We have to find the time taken for the diver to enter the water. When the diver enters the water, the height becomes zero.
Therefore, the diver will take 2.449 seconds to enter the water.
Answer:
23 + 36i over 25
Step-by-step explanation:
multiply 4+3i to the bottom and top and get 32+36i+9i^2 over 16-9i^2
then u simplify the i^2 and get 23+36i over 25
Here, we are required to find the first term of an arithmetic progression which has a second term of 96 and a fourth term of 54.
- The first term of the progression which has a <em>second term</em> of 96 and a <em>fourth term</em> of 54 is; a = 117.
<em>In Arithmetic progression, the N(th) term of the progression is given by the formular;</em>
T(n) = a + (n-1)d
where;
Therefore, from the question above;
- T(2nd) = a + d = 96..............eqn(1)
- and T(4th) = a + 3d = 54..........eqn(2)
By solving the system of equations simultaneously;
we subtract eqn. 2 from 1, then we have;
<em>-2d = 42</em>
Therefore, d = -21.
However, the question requests that we find the first term of the progression; From eqn. (1);
a + d = 96
Therefore,
Ultimately, the first term of the progression is therefore; a = 117
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