Answer:
f(x) = 4x^2 + 2x - 4.
Step-by-step explanation:
Let the quadratic function be y = f(x) = ax^2 + bx + c.
For the point (-2, 8) ( x = -2 when y = 8) we have:
a(-2)^2 + (-2)b + c = 8
4a - 2b + c = 8 For (0, -4) we have:
0 + 0 + c = -4 so c = -4. For (4, 68) we have:
16a + 4b + c = 68
So we have 2 systems of equations in a and b ( plugging in c = -4):
4a - 2b - 4 = 8
16a + 4b - 4 = 68
4a - 2b = 12
16a + 4b = 72 Multiplying 4a - 2b = 12 by 2 we get:
8a - 4b = 24
Adding the last 2 equations:
24a = 96
a = 4
Now plugging a = 4 and c = -4 in the first equation:
4(4) - 2b - 4 = 8
-2b = 8 - 16 + 4 = -4
b = 2.
Answer:
From left to right, -3/2, -4/5, -3/10, 1/2, 7/8, 4/3
Step-by-step explanation
So what we're trying to do here is to order the numbers from greatest to least.
Let's start off with the negative numbers.
-3/10, -4/5, -3/2.
Now what we want to do is give them all a common denominator to figure out which one is the least of that group.
-3/10,-8/10,-15/10.
Now on to the positive numbers.
1/2, 4/3, 7/8
Turn the denominator into 24.
12/24, 32/24, 21/24
Then put them all in order.
The area of the L shaped figure is 258 ft²
<h3>
Area</h3>
Area is the amount of space occupied by a two dimensional figure.
The area of a rectangle is given by:
Area = length * breadth
From the diagram, the area is:
Area = [18 * (21 - 12)] + (12 * 8) = 258 ft²
The area of the L shaped figure is 258 ft²
Find out more on Area at: brainly.com/question/25292087
Answer:
Case1:
Men : 30
Work : 1
Time (day×hr): 56×6 = 336 hr.
Case2:
Men : let it be m men.
Work: 1
Time: 45×7 = 315 hr.
Work being constant in both cases, men and time are in inverse proportion i.e, more men take less time.
Product of men and time is constant in both cases.
Therefore, 30×336=m×315
Or, 30×336/315 = m
Or, m = 32.
Hence, required number of men is 32.
Step-by-step explanation:
