Answer:
208
Step-by-step explanation:
First let's find out what each container weighs..
Blue = 4 x 103 = 412
Red = 102 x 2 = 204
Now, Let subtract Blue container by Red Container..
412-204=208
Hence, the blue container weighs 208 more than the red container.
Answer:
We can set up a system of equations.
x + y = 111
0.25x + 0.10y = 18.30
x + y = 111
Subtract 'y' to both sides:
x = -y + 111
Plug in '-y + 111' for 'x' in the 2nd equation:
0.25(-y + 111) + 0.10y = 18.30
Distribute 0.25 into the parenthesis:
-0.25y + 27.75 + 0.10y = 18.30
Combine like terms:
-0.15y + 27.75 = 18.30
Subtract 27.75 to both sides:
-0.15y = -9.45
Divide -0.15 to both sides:
y = 63
Plug this back into any of the two equations to find the 'x' value.
x + y = 111
x + 63 = 111
Subtract 63 to both sides:
x = 48
So there are 48 quarters and 63 dimes.
Step-by-step explanation:
Hope This Helps!
Answer:
Step-by-step explanation:
2x² - 7x - 3 = 1
Step 1: 2x² - 7x - 4 = 0
Step 2: incorrect.
Use Quadratic Formula to solve for roots.
x = [7 ± √(7² – 4·2(-4))] / [2·2]
= [7 ± √81] / 4
= [7 ± 9] /4
= -0.5, 4
Answer:
Step-by-step explanation:
<u>Given function</u>
The points (-1, 1/6) and (1, 2/3) lie on the graph
<u>Substitute the values of x and y to get the system of equations:</u>
- 1/6 = c*a^(-1) ⇒ 1/6 = c/a ⇒ a = 6c
- 2/3 = c*a^1 ⇒ 2/3 = ac
<u>Substitute a and solve for c:</u>
- 2/3 = 6c*c
- 1/9 = c²
- c = √1/9
- c = 1/3
<u>Find a:</u>
<u>The equation of the function:</u>
