The values of p and q in the function f(x) = 2x³ + 17x² - 3px - 5q is p = 8, q = 27
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
x - 3 (i.e. x = 3) and x + 9 (i.e. x = -9) are factors of f(x) = 2x³ + 17x² - 3px - 5q
Hence:
f(3) = 0
2(3)³ + 17(3)² - 3p(3) - 5q = 0 (1)
Also:
2(-9)³ + 17(-9)² - 3p(-9) - 5q = 0 (2)
Hence, p = 8, q = 27
The values of p and q in the function f(x) = 2x³ + 17x² - 3px - 5q is p = 8, q = 27
Find out more on equation at: brainly.com/question/2972832
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X = 33/8 and -3
Use the formula with a = 6, b = -7 and c = -75
The length of the band in terms of π is given by the expression:
L = 40mm + π*10mm
<h3>
How to get the length of the band?</h3>
Remember that for a circle of diameter D, the circumference is:
C = π*D.
Now, if you look at the image, you can see that the length of the band will be equal to 4 times the diameter of the pencils (one time for each side). Plus 4 times one-fourth of the circumference of each pencil (for the four corners).
because the diameter is 10mm, the length of the band will be:
L = 4*10mm + 4*(π*10mm/4)
L = 40mm + π*10mm
This is the length of the band in terms of π.
If you want to learn more about circles:
brainly.com/question/14283575
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Answer:
166 marbles
Step-by-step explanation:
O - 44 = L
O - 48 = J
O - 6 = L + J
I want to isolate O here
O = 44 + L
Plug it in
44 + L - 6 = L + J
38 + L = L + J
38 = J
Now we know that Jack has 38.
O - 48 = J
O - 48 = 38
O = 86
Now we know Oscar has 86.
O - 44 = L
86 - 44 = L
42 = L
Lily has 42.
38 + 86 + 42 = .....166
They have 166 coins altogether - Also Happy New Year!!! :D
Answer:
Step-by-step explanation:
