Question:
The square of a number decreased by 3 times the number is 28 find all possible values for the number
Answer:
The possible values of number are 7 and -4
Solution:
Given that the square of a number decreased by 3 times the number is 28
To find: all possible values of number
Let "a" be the unknown number
From given information,
square of a number decreased by 3 times the number = 28
Let us solve the above quadratic equation
Using the above formula,
Thus the possible values of number are 7 and -4
Answer:
<h3>
f(x) = -x² + 20x - 96</h3>
Step-by-step explanation:
Parabola f(x) = ax² + bx + c passing through points (8,0) and (12,0) means that 8 and 12 are its root and (x-8) and (x-12) are its factors
So we get:
f(x) = a(x - 8)(x - 12)
The parabola passes through point (13, -5) that means if x=13 then f(x)=-5
So:
-5 = a(13 - 8)(13 - 12)
-5 = a(5)(1)
-5 = 5a
a = -1 {<0 so parabola opens down}
Therefore:
f(x) = -(x - 8)(x - 12)
And expanding:
f(x) = -(x² - 12x - 8x + 96)
So the standard form equation of the parabola:
<u>f(x) = -x² + 20x - 96</u>
Good evening Brian,
For this problem, let's look at what we're given. So we have a pool with a length that is 13 m (meters) longer than its width, and we're given the perimeter, or distance around the entire pool, which is 74 m.
We know that the pool has a rectangular shape and that the perimeter of a rectangle is <span>width + length + width + length ⇒ 2(W) + 2(L)</span>.
Given the information provided, we can rewrite the equation to fit this problem. Since we're told that the length is equal to 13 m + the width, so we can represent the length as W +13 m. We can now rewrite the perimeter equation to be:
2(w) + 2 (w + 13 m) ⇒ 2(w) + 2(w) + 2(13 m) ⇒ 4(w) + 26 m = 74 m.
We're down to one variable now so this should be easy. Subtract 26 m from both sides,
4(w) = 48 m
Now divide each side by 4 in order to find the width.
w = 12 m
-Hope this helps!
D. since if you plug in the Pythagorean therom it comes out true and the Pythagorean therom only works on right triangles. also isosceles have 2 side lengths the same.
there are 72 campers at the summer camp because if we just multiply 8 times 9 equals 72
