It is important to remember that in simplifying expressions, you can only add or subtract like terms. Also, you have to follow PEMDAS. For the expression,
<span>5 + 7 + 15xy^2 + 9y^3 + 10x –13xy^2 – 3x – 8y^3
We can combine all the constants, xy^2 terms, y^3 terms and x terms which will yield,
12 + 2xy^2 + y^3 + 7x
Therefore the correct answer is option B.</span>
Answer:
f(x) = 4(x + 6)² – 134
Step-by-step explanation:
To write an equation in vertex form, we first factor out the GCF of the first two terms. For 4x² and 48x, this is 4:
f(x) = 4(x²+12x)+10
Next we complete the square. The value of b inside parentheses is 12; we take half of that and square it:
(12/2)² = 6² = 36
We add this inside parentheses. However in order to preserve equality, we must subtract this value as well. Since the terms inside parentheses are being multiplied by 4, we multiply the 36 we subtract by 4 as well:
f(x) = 4(x²+12x+36)-4(36)+10
Simplifying, we have
f(x) = 4(x²+12x+36)-144+10
Combining like terms,
f(x) = 4(x²+12x+36)-134
Next we write the trinomial in parentheses as a perfect square:
f(x) = 4(x+6)²-134
The probability that she makes 6 of them is 0.242
The probability is the likelihood that something will happen, to put it simply. When we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several. The study of events that fit into a probability distribution is known as statistics.
Given,
A basketball player has a probability = 0. 603
The player shoots 10 free throws.
Let x be a random variable that represents the number of free throws made by a basketball player.
x ≈ Binomial (n,p)
p = 0.603
n= 10
P(x=k) = n
P(6) = ₁₀
=
= 210 ( 0.048 ) ( 0.024)
= 0.242
Therefore, the probability that she makes 6 of them is 0.242
Learn more about probability here: brainly.com/question/28046280
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D. One reason, The others questions don't add up. Reason being, the perimeter of the garden is 4x+60, all of the other questions don't make up for that answer.
(I also can't read D, so I'm just assuming now.)