The lowest common multiple of the expressions 3xyz^2 and 9x^2y + 9x^2 is 9x^2z^2(y + 1)
<h3>How to determine the lowest common multiple?</h3>
The expressions are given as:
3xyz^2 and 9x^2y + 9x^2
Factorize the expressions
3xyz^2 = 3 * x * y * z * z
9x^2y + 9x^2 = 3 * 3 * x * x * (y + 1)
Multiply the common factors, without repetition
LCM = 3 * 3 * x * x * (y + 1) * z* z
Evaluate the product
LCM = 9x^2z^2(y + 1)
Hence, the lowest common multiple of the expressions 3xyz^2 and 9x^2y + 9x^2 is 9x^2z^2(y + 1)
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Answer:
the answer to this question is 1/12
Step-by-step explanation:
Because the probability of getting a consent is 3/4 + the probability of getting a number less than 3 is 2/6
F(x) = a(x-h)²<span> + k
</span><span><u>Given that the vertex is (-3 -6):</u>
</span>f(x) = a(x + 3)² -6
<span>
<u>Given that it passes through (0.0), find a:</u>
a(0 + 3)</span>² - 6 = 0
<span>
9a - 6 = 0
9a = 6
a = 6/9 =2/3
<u>So the equation is :</u>
</span>f(x) = 2/3(x + 3)² -6
<span>
<u>Write the equation in standard form:</u>
</span>f(x) = 2/3(x² + 6x + 9) - 6
f(x) = 2/3x² + 4x + 6 - 6
f(x) = 2/3x² + 4x
<span>
Answer: </span>f(x) = 2/3x² + 4x<span>
</span>
P would equal 22/9 or as a mixed number, 2 4/9.
Answer:
y = 1/4x - 1.75
Step-by-step explanation:
standard form is y = mx + b
to get m you need to calculate the slope between the given points
m= (y1-y2)/(x1-x2)
m = (-1 - (-3))/(3 - (-5)) = 2/8 = 1/4
now you need to find the constant b by plugging in one of your points
y = 1/4x + b
-1 = 1/4(3) + b
b = -1 - (3/4)
b = -7/4 or -1.75