Answer: the x intercept is -5 and the y intercept is 25.
Step-by-step explanation:
f(x) = -x^2 + 25
The x intercept is when y is zero and the y intercept is when x is zero.So input zero into the expression and solve for y.
-1(0)^2 + 25 = 25 so the y intercept is 25.
0=-x^2 +25
-25 -25
-25 = -x^2
x^2 = 25
x = -5 or 5
Answer: C. t < -3
<em>Hope this helps!</em>
Answer:
y=2x+7
Step-by-step explanation:
y-y1=m(x-x1)
y-9=2(x-1)
y=2x-2+9
y=2x+7
5^12/5^6 Is the correct response. When equal numbers with different exponents are divided then the you must subtract the exponents.
Thus 12-6 = 6.
Answer:
α² +β² = 3 4/9
Step-by-step explanation:
Assuming α and β are solutions to the equation, it can be factored as ...
(x -α)(x -β) = 0
Expanding this, we get ...
x² -(α +β)x +αβ = 0
Dividing the original equation by 3, we find ...
x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ ⇒ (α+β) = -1/3, αβ = -5/3
We know that the square (α+β)² can be expanded to ...
(α +β)² = α² +β² +2αβ
α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ
Substituting the values for (α+β) and αβ, we find the desired expression is ...
α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9
α² +β² = 3 4/9
