Answer:
x-6
Step-by-step explanation:
(x-5)(x-6)=x^2-11x+30
-6*-5=30
(-6)+(-5)=-11
Answer:
6 slices
Step-by-step explanation:
The full pizza is 12 pieces. Divide 12 by 4 to find out how much she ate on Thursday. 1/4 of 12 is 3 so she ate 3 slices on Thursday. Subtract 3 from 12 to find out how much was left for the next day. There were 9 slices the next day. Next, divide 9 by 3 to find out what 1/3 of 9 is. 1/3 of 9 is 3 so subtract 3 from the 9 slices. 6 slices are the original pizza remain.
Answer:
(a) 0.85
(b) 0.7225
Step-by-step explanation:
(a) The point estimate for the proportion of all such components that are not defective is given by the number of non-defective units in the sample divided by the sample size:
The proportion is 0.85.
(b) Assuming that the sample is large enough to accurately provide a point estimate for the whole population, this can be treated as a binomial model with probability of success (non-defective part) p = 0.85. Since both components must be non-defective for the system to work, the probability of two successes in two trials is:
An estimate of 0.7225 for the proportion of all such systems that will function properly.
The dependent variable is the cost of the pizza.
The Independent variable (or what you manipulate) is the toppings of the pizza, and the dependent variable (or what changes because you manipulated something) is the total cost of the pizza
Answer:
B. f(x) = 3/(x^2 +2x +1)
E. f(x) = 5/(3+x)
Step-by-step explanation:
The above functions have denominators that are zero at one point. For B, that point is x=-1; for E, that point is x=-3. When the denominator is zero, the function is undefined, so the corresponding x-value must be excluded from the domain.
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As written, choice D also qualifies. This is because the function written in the answer list here is ...
It will be undefined for x=0.
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<em>Comment on writing rational functions</em>
When the division symbol (/ or ÷) is used with a denominator that is a product or sum, that product or sum must be enclosed in parentheses. When the expression is typeset, the division bar acts as a grouping symbol. When the expression is written in text, a grouping symbol, such as parentheses, must be added.