Step-by-step explanation:
Given equations:
y = x² + 3x - 29 ------ (i)
y = 2x - 9 ---------------- (ii)
Now to solve this problem, we must determine the value of x and y;
Equate equations 1 and 2;
x² + 3x - 29 = 2x - 9
x² + 3x - 2x - 29 + 9 = 0
x² + x - 20 = 0
x² + 5x - 4x - 20 = 0
x(x + 5 ) - 4(x + 5) = 0
(x - 4) (x+ 5) = 0
x - 4 = 0 or x + 5 = 0
x = 4 or x = -5;
So; solve for y now;
y = 2x - 9
input x = 4 or x = -5;
y = 2(4) - 9 or y = 2(-5) - 9
y = -1 or y = -19
Answer:
domain of f(x) is x ≤ 0; domain of f^-1(x) is x ≥ 4
Step-by-step explanation:
The square root function will always give a positive value, so the opposite of the square root function will give non-≤positive values. That means ...
- the domain of f(x) is restricted to non-positive values
- the domain of the inverse function is restricted to values of x that make the root be of a non-negative number: x ≥ 4
The domain of f(x) is x ≤ 0; the domain of f^-1(x) is x ≥ 4.
Ryan bought 25 packs because 25 is equal to one-fourth.
The correct answer for this question is "The discriminant is equal to −16, which means the equation has no real number solutions."
<span> −1 = 5x2 −2x
</span><span>5x2 −2x + 1 = 0
</span>
To get the discriminant value, use this formula
= b^2 - 4ac
= (-2)^2 - 4(5)(1)
= 4 - 20
= -16