We must graph y=x^3-9x^2+11x+21. Please, see the attached file.
Then we see were the graph cuts the x-axis, and these values of x are the real solutions of the given equation:
The real solutions of the given equation are:x = -1, 3, and 7
Answer:
x=9
Step-by-step explanation:
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Answer:
Joshua can spend up to 3.21 on a card.
Step-by-step explanation:
is the correct equation because Joshua is spending 21.79 on flowers, a certain amount on the card, and the maximum he can spend is 25. That is why you use the less than or equal to sign.
To solve, first subtract 21.79 from both sides to get: 
. This means that Joshua can spend up to 3.21 on a card.
Hope it helps!
Answer:
x>-3
Step-by-step explanation:
Answer:
Step-by-step explanation:
1.) Get the equation in the form y = ax^2 + bx + c.
2.) Calculate -b / 2a. This is the x-coordinate of the vertex.
3.) To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y. This is the y-coordinate of the vertex.
1.) y = -x^2 - 10x + 24
2.) -(-10) / 2(-1) = -5
3.) y = -(-5)^2 - 10(-5) + 24
y = -25 + 50 + 24
y = 49
