Answer:
Step-by-step explanation:
given that f(a) = K
we have the options of
f(K) = a
f ⁻¹ (K) = a
f ⁻¹ (a) = K
Where f ⁻¹ denotes an inverse function.
If f(a) = K, then its reciprocate, f ⁻¹ (K) = a
because it is essentially undoing the original equation
Based on the given graph, the time when the softball reaches its maximum height is about 1.8 seconds.
<h3>When is the softball at it highest?</h3>
The softball is at its maximum height at the point where the curve begins to go back down.
This means the maximum height is 50 feet.
The time when this softball reaches this height is between 1 and 2 seconds at 0.8.
The time the softball reaches its maximum height is therefore 1.8 seconds.
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Answer:
(x + 1)² = 7
Step-by-step explanation:
Given:
-2x = x² - 6
We'll start by rearranging it to solve for zero:
x² + 2x - 6 = 0
The first term is already a perfect square so that's fine. Normally, if that term had a non-square coefficient, you would need to multiply all terms a value that would change that constant to a perfect square.
Because it's already square (1), we can simply move to the next step, separating the -6 into a value that can be doubled to give us the 2, the coefficient of the second term. That value will of course be 1, giving us:
x² + 2x + 1 - 1 - 6 = 0
Now can group our perfect square on the left and our constants on the right:
x² + 2x + 1 - 7= 0
x² + 2x + 1 = 7
(x + 1)² = 7
To check our answer, we can solve for x:
x + 1 = ± √7
x = -1 ± √7
x ≈ 1.65, -3.65
Let's try one of those in the original equation:
-2x = x² - 6
-2(1.65) = 1.65² - 6
- 3.3 = 2.72 - 6
-3.3 = -3.28
Good. Given our rounding that difference of 2/100 is acceptable, so the answer is correct.
Answer:
-8
Step-by-step explanation:
Create this equation into a y=mx+b form
8x-3y=24
-8x -8x -8 to solve for -3y
-3y=-8x+24
---- --- --- divide by -3 to leave y by itself
-3 -3 -3
y= 8
--- x-8
3
y intercept is -8
Answer:
3 terms
Step-by-step explanation:
A term in mathematics, especially in Algebra, could be a number, a variable, variable together with a number or variables multiplied together as a single whole. Terms are usually separated with either negative or positive sign in an expression.
In the expression, 
, there are 3 terms here spared by either the negative sign or the positive.
The 3 terms are: 
.
