(a+b)(a-b) = a^2 - b^2
(1+5/6) (1-5/6) = 1^2 - (5/6)^2 = 1 - 25/36 = 36/36 - 25/36 = (36-25)/36 = 11/36
11/36 is your answer
the average can be calculated by adding the scores together and then dividing by the number of scores.
we can set up an equation:
let x = test score needed on next test
(72+72+80+x)/4 = 71
multiply both sides by 4
72+72+80+x = 284
add like terms
224+x=284
subtract 224 from both sides
x=60
she will need a 60 for her average to be 71
Answer:
1.) a. i) f(4) = 2, ii.) f(-3)= -5 b.) x = -5, x = 2, c.) choice(2) -3 < x < 5
Step-by-step explanation:
Each problem
1.) a.) i.) we see f(4) = 2 on the graph the line goes through point (4, 2)
a.) ii.) f(-3) = -5
1.) b.) There are only 2 zeros for f(x) which intersect the x-axis in only 2 points.
x = -5 and x = 2 are the only 2 zeros.
1.) c.) only for -3 < x < 5 is the function f(x) increasing.
choice (2.)
Well, we can find the direct answer by taking Billy and Kip's points and subtracting it from the total combined points. This will give us 11, which means Patrick earned 3 points.
The equation we can use to represent this is <em>5 + 6 + y = 14.
1. 5 + 6 + y = 14
2. 11 + y = 14
3. y = 14 - 11
4. y = 3
</em>Hopefully, this helps! =)<em>
</em>
Answer:
16.9 km
Step-by-step explanation:
From the diagram attached, we can see that the problem forms a triangle.
So, to find the distance(d) from the boat to Beachton , we can make use of Pythagoreas theorem.
Thus;
d² = 16.8² + 2.2²
d² = 282.24 + 4.84
d² = 287.08
d = √287.08
d = 16.9434
Approximating to the nearest tenth, we have;
d ≈ 16.9 km
