Answer:
y = x² - 4x - 21
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, - 25), thus
y = a(x - 2)² - 25
To find a substitute (7, 0) into the equation
0 = a(7 - 2)² - 25 = a(5)² - 25 = 25a - 25 ( add 25 from both sides )
25a = 25 ( divide both sides by 25
a = 1, thus
y = (x - 2)² - 25 ← in vertex form
Expand and simplify
y = x² - 4x + 4 - 25
y = x² - 4x - 21 ← in standard form
Answer:
-20 + 15g
Step-by-step explanation:
5 multiplied by -4 is -20
5 multiplied by 3g is 15 g.
because these two variables do not both have a g with them, this is the most they can be simplified. hope this helps!
Answer:
17 tour guides
Step-by-step explanation:
First, we need to divide 83 by 5.
As you can see, there are 16 tour guides that can handle 5 students each. However, there are a remainder of 3 students, so we need one extra tour guide. Thus, the answer is 17 tour guides.
Hey there!
The opposite of the square root of 25 is -5, and this is an <u>integer and a rational number and a real number.</u>
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Hope it helps and have a great day!
Answer:
There are only two roots of a quadratic.
Step-by-step explanation:
Not sure how Joe got three, but he did something incorrectly.
