It’s 1/2 because every time the x variable goes up 1, the y variable goes up 2
Answer:
about 9 pounds, 7 ounces
Step-by-step explanation:
5 ounces per week
for 4 weeks
= 5 x 4 = 20 ounces gained thought these 4 weeks
Now add
8 Pounds, 3 ounces + 20 ounces = 9 pounds, 7 ounces
Answer:
A
Step-by-step explanation:
Recall the general equation for a straight line is
y = mx + b
where m is the gradient and b is the y-intercept
given 2 points whose coordinates are (x1, y1) and (x2, y2), m can be found with the following formula:
m = 
in this case, x1 = -8, y1 = 11, x2 = 4, y2=7/2
applying these values to the formula for m will give
m = -(5/8)
We can see immediately that the only 2 possible answers are A or B.
If we substitute this back into the general equation, we get:
y = -(5/8)x + b
In order to find the value for b, we substitute any one of the 2 given points back into this equation. Lets choose (-8,11)
11 = -(5/8) (-8) + b
11 = -(5/8) (-8) + b
11 = 5 + b
b = 6
hence A is the answer.
Answer:
Step-by-step explanation:
-16x^2 + 24x + 16 = 0.
A. Divide by 8:
-2x^2 + 3x + 2 = 0, A*C = -2*2 = -4 = -1 * 4. Sum = -1 + 4 = 3 = B, -2x^2 + (-x+4x) + 2 = 0,
(-2x^2-x) + (4x+2) = 0,
-x(2x+1) + 2(2x+1) = 0,
(2x+1)(-x+2) = 0, 2x+1 = 0, X = -1/2. -x+2 = 0, X = 2.
X-intercepts: (-1/2,0), (2,0).
B. Since the coefficient of x^2 is negative, the parabola opens downward. Therefore, the vertex is a maximum.
Locate the vertex: h = Xv = -B/2A = -24/-32 = 3/4, Plug 3/4 into the given Eq to find k(Yv). K = -16(3/4)^2 + 16(3/4) + 16 = 19. V(h,k) = V(3/4,19).
C. Choose 3 points above and below the vertex for graphing. Include the points calculated in part A which shows where the graph crosses the x-axis.
The answer is .583 repeating.
