Answer:
Step-by-step explanation:
f(x) is quadratic function and g(x) is linear (since AP in the right column).
<u>Find the equation of the function f(x), use the points on the graph:</u>
- c = 5 as the y-intercept is (0, 5)
- a(-1)² + b(-1) + 5 = 0 ⇒ a + 5 = b
- a(5²) + b(5) + 5 = 0 ⇒ 25a + 5b + 5 = 0 ⇒ 25a + 5a + 25 + 5= 0 ⇒ a = -1 ⇒ b= 4
<u>The function is:</u>
Find the equation of g(x)
<u>Find the slope of g(x):</u>
- m = (1 - 7)/(-1 + 4) = -2
<u>Use (-4, 7) to find its equation:</u>
- y - 7 = -2(x + 4)
- y = -2x + 7 - 8
- y = -2x - 1
<h3>See the required comparison below</h3>
<u>The y-intercepts:</u>
- f(x) ⇒ 5,
- g(x) ⇒ -1
- -5 < - 1
<u>Values at x = 3:</u>
- f(3) = -3² + 4(3) + 5 = 8
- g(3) = -2(3) - 1 = - 7
- 8 > 7
<u>Average rate of change in the interval [2,5]:</u>
- f(x) ⇒ (0 - 9)/(5 - 2) = -3
- g(x) ⇒ (-11 + 5)/ (5 - 2) = -2
- -3 < -2
<u>Max of function in the interval [-5, 5];</u>
- f(x) ⇒ 9, vertex of the function
- g(x) ⇒ g(-5) = -2(-5) - 1 = 9, taken the least point of x as it is a decreasing function
- 9 = 9
Question:
There are two methods of doing this. One is via long division. It is long, and hard to type in a meaningful way, so I will not include that method. The other, which I often employ for dividing by small amounts such as 4, is to divide it in half 2 times. This is possible because 4 = 2 times 2. You now have the fractions
Therefore the solution is 90.
Answer:
1
Step-by-step explanation:
The number of terms in the polynomial;
7b^7
The number of terms in this polynomial is simply 1
Since the two are together, they are treated as a single term in the polynomial.
Take for example a quadratic polynomial;
3x^2 + 2x + 1
This is a polynomial with 3 terms.
All multiplications are treated as a single unit.
This is the case in terms of what we have too
The distance Jada is from starting point will be found using the cosine formula:
c²=a²+b²-2abCos C
a=200, b=90, C=70°
thus plugging in our values we get:
c²=200²+90²-2×200×90×cos70
c²=40000+8100-36000(0.3420)
c²=35788
hence
c=189.1772 m'
therefore the distance Jada is from the starting point is 189.1772 m
Answer:
y = -x - 1
Step-by-step explanation:
hello,
this is a line, right?
So the equation should be something like
y = ax+b and we need to find a and b
we can see that the points (-1,0) and (0,-1) are in the line so we can write
0 = a*(-1) + b <=> b - a = 0 <=> a = b
-1 = a*0 + b <=> b = -1
so the equation is
y = -x - 1
hope this helps
