Answer:
Step-by-step explanation:
Maximum capacity of the elevator = 2000 pounds
Combined weight of the elevator = 428 pounds
A). Let the possible weights that can be added to the elevator = w pounds
B). Therefore, inequality representing this situation will be,
428 + w < 2000
C). By solving the given inequality,
(428 + w) - 428 < 2000 - 428
w < 1572 pounds
Now we draw this inequality on a number line.
Answer:
y = 2*x^2 - 2*x - 24
Step-by-step explanation:
If we have a quadratic function with roots a and b, we can write the equation for that function as:
y = f(x) = A*(x - a)*(x - b)
Where A is the leading coefficient.
In this case, we know that the roots are: 4 and -3
Then the function will be something like:
f(x) = A*(x - 4)*(x - (-3) )
f(x) = A*(x - 4)*(x + 3)
Now we need to determine the value of A.
We also know that the graph of the function passes through the point (3, -12)
This means that:
f(3) = -12
Then:
-12 = A*(3 - 4)*(3 + 3)
-12 = A*(-1)*(6)
-12 = A*(-6)
-12/-6 = A
2 = A
Then the equation is:
y = f(x) = 2*(x - 4)*(x + 3)
Now we need to write this in standard form, so we just need to expand the equation:
y = f(x) = 2*(x^2 + x*3 - x*4 - 4*3)
y = f(x) = 2*(x^2 - x - 12)
y = f(x) = 2*x^2 - 2*x - 24
Then the relation is:
y = 2*x^2 - 2*x - 24
<span>For chess club:
y1 = 16 + 1*x where y1 = total number of members after x months
.
For film club:
y2 = 4 + 4*x where y2 = total number of members after x months.
y1 = y2 when:
16 + x = 4 + 4x
3x = 12
x = 4 months
Answer: C. 4 months.</span>
7,200 = (24)(20)h
15=h (just divide)
To check, 20*24*15 = 7,200 cubic centimeters so 15 cm is right
Hello!
To solve this, we must solve the equation..
(^4√5³)^(1/2) = 1.82...
It can't be A because 5^6 = 15625
It can't be C because 5^16/3 = 5343.67...
It can't be D because 5^2/3 = 2.92...
It can be B because 5^3/8 also equals 1.82...
So, (^4√5³)^1/2 = 5^3/8.
Hope this helps! ☺♥
