Answer:
y = -0.6x^2 + 5x + 6
Step-by-step explanation:
First, find the equation of a linear line that passes through the points (0,6) and (3, 15.6) in the slope intercept form, y = mx + b. We know that the line has a y-intercept of 6, so b = 6. Substitute 3 for x, 15.6 for y, and 6 for b to find m.
y = mx + b
15.6 = 3m + 6
9.6 = 3m
m = 3.2
y = 3.2x + 6
y = a(x - 0)(x - 3) + 3.2x + 6
y = a(x)(x - 3) + 3.2x + 6
Finally, substitute 10 for x and -4 for y in the equation above to find a.
-4 = a(10)(10 - 3) + 3.2*10 + 6
-4 = a(10)(7) + 32 + 6
-4 = 70a + 38
-42 = 70a
a = -0.6
Simplify to write in standard form.
y = -0.6(x)(x - 3) + 3.2x + 6
y = -0.6x^2 + 5x + 6
Note the equal sign. What you do to one side, you do to the other.
Do the opposite of PEMDAS.
Subtract 7 from both sides
x/5 + 7 = -4
x/5 + 7 (-7) = -4 (-7)
x/5 = -11
Next, to isolate the x, multiply 5 to both sides
x/5(5) = -11(5)
x = -11(5)
x = -55
-55 is your answer for x.
hope this helps
Volume =
1 πr2h
3
=
1 ×π×42×7
3
= 117.28612573402 centimeters^3
None of the above answers are correct in the form it is written. The correct answer would be -7/2.
In order to solve this, you must use the order of operations for solving.
2x - 3 = 4x + 4 -----> Subtract 2x from both sides
-3 = 2x + 4 ------> Subtract 4 from both sides.
-7 = 2x ----> Divide both sides by 2
-7/2 = x
If this is not an option, you may have copied the problem incorrectly or did not properly list the answers.
Answer:
2.49 liters
Step-by-step explanation: