The quadratic graph crosses the y-axis at -3, so the equation is
The shaded region is on 'outer' part of the graph, hence the inequality is
Hey there!!
We have:
... x² + y² = 25
... x² + y² = 5²
... y² = 5² - x²
and
... y² - 2x = 25
... y² - 2x = 5²
We know y² = 5² - x²
... 5²-x²-2x = 5²
... -x² - 2x = 5²-5²
... -x² - 2x = 0
... x(-x-2) = 0
... -x-2 = 0
... -x = 2
... x = -2
<em>Hence, the value of x is -2. </em>
... x² + y² = 25
... (-2)² + y² = 25
... 4 + y² = 25
... y² = 25 - 4
... y² = 21
... y = √21
<em>Hence, the value of 'y' is √21. </em>
Hope my answer helps!!
Answer:
an exponential function
Step-by-step explanation:
An exponential function has the characteristic that it increases by a constant factor when the independent variable increases by a constant increment. The function you describe is an exponential function.
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It can be written in the form ...
f(t) = f(0)·2^(t/d) . . . . . where d is the doubling time
Answer:
(-7,-13) (-6,-12) (3,-3) (5,-1) (7,1)
Step-by-step explanation:
plug in each x value into the equation
take -7 for example
when -7 is x, we plug it into the equation
you would do this same process for the rest of the x values.
Well a product is what numbers multiply to get another number.
For example 3 and 2 are products of 6, because 3 x 2 = 6
And a prime number is a number with only 2 factors (I'm assuming you know this already)
So if you wanted to find the prime products of 24, you would do so like this...
24 = 12 x 2 (2 is a prime so that is ok, but 12 is not)
So then you ask what numbers are 12 made of?
24 = 3 x 4 x 2 (2 and 3 are primes but 4 is not. So you do as before)
24 = 3 x 2 x 2 x 2 (All the numbers are primes so you have finished)