Ok so has 524.96
must be at least 500
took out 32.50 out of 524.96
how much does she need to put in to get to 500 so
524.96-32.5=492.46
how much till 500
500-492.46=7.54
needs to deposit at least 7.54
inequality is
<u />524.96-32.50+x<u>></u>500
x=how much she needs to deposit
Answer:
Step-by-step explanation:
-32 = 2(x² + 10x)
Complete the square
coefficient of the x term: 10
divide coefficient in half: 5
square it: 5²
use 5² to complete the square and keep the equation balanced:
-32+2·5² = 2(x² + 10x + 5²)
18 =2(x+5)²
9 = (x+5)²
x+5 = ±√9 = ±3
x = ±3 - 5 = -2, -8
Answer:
The added term needed for that expression to be a square is 9/16.
Step-by-step explanation:
We're provided with two terms, and asked to add an additional term to make this a perfect square. For this to work, the term needs to be a scalar value that is the square of half the coefficient of the second term.
That coefficient is 3/2, so half of that is 3/4, and its square is 9/16.
If we tack that on the end then, we get:
To confirm the answer, let's expand it and see if we get the original expression:
So 9/16ths is the scalar that needs to be added on the end.
Answer:
4.583
Step-by-step explanation:
Equation of a circle is:
(x − h)² + (y − k)² = r²
where (h, k) is the center of the circle and r is the radius.
x² + (y − 3)² = 21
The center of the circle is (0, 3), and the radius is √21, or approximately 4.583.
