Answer:
(3x - 5)(x + 1)
Step-by-step explanation:
We need to factor 3x² - 2x - 5.
In order to do this, we must look at the factors of 3 and -5:
3 = 1 * 3
-5 = 1 * -5
Somehow, we need to pair up these so that they add to -2. We realize we can do this by multiplying 1 by -5 and adding that to 1 * 3:
1 * -5 + 1 * 3 = -5 + 3 = -2
So, we have (3x - 5)(x + 1).
Answer:
The relation is a function
Step-by-step explanation:
Given
Required
Determine if the points is a function or not
A relation can be expressed as: 
Where
When any domain element occurs more than once, then the relation is not a function.
The domain of the above points are:
In this case, no domain occur more than once; in other words, no x value occur more than once
<em>Hence, the relation is a function</em>
The distance the ships traveled are like the legs of a triangle and the question wants to know the hypotenuse. To find the hypotenuse, use the pythagorean theorem. this is a^2 + b^2 = c^2, with a and b being the legs and c being the <span>hypotenuse.
</span>Plug in known values:
84^2 + 62^2 = c^2
Solve:
84^2 = 7056
62^2 = 3844
7056 + 3844 = c^2
7056 + 3844 = 10900
10900 = c^2
Now you just need to isolate c by finding the square root of both sides.
√10900 = 104.403
√c^2 = c
So c = 104.403, or just 104.40 when rounded to the nearest tenth.
And if c is 104.40, then that means the hypotenuse is 104.40.
And all of that basically means that the distance between the ships is 104.40 miles.
Answer:
x = 25
Step-by-step explanation:
Since we are trying to multiply 4 by x, we have to divide both sides by 4 to find x.
100 divided by 4 is 25, so x is 25.
To check your answer, we can multiply 4 by 25.
4 × 25 is 100
So, the answer is 25.
For end behavior, we need to consider 2 things: the highest exponent, and the coefficient of the highest exponent.
the highest exponent is 6, an even number, which means that the end behaviors will both be ∞ or -∞.
Since the coefficient is -4, a negative number, the end behaviors will both be -∞.
As x→ -∞, f(x)→ -∞. As x→ ∞, f(x)→ -∞.
