Answer:
<a=55° ,< b=55° and <c=70°
A random sample of students were asked whether they prefer milk juice or water is it results are summarized in the table.
1 answer:
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Answer:
x^4 -53x^2 +108x +160
Step-by-step explanation:
If <em>a</em> is a zero, then (<em>x-a</em>) is a factor. For the given zeros, the factors are ...
p(x) = (x +8)(x +1)(x -4)(x -5)
Multiplying these out gives the polynomial in standard form.
= (x^2 +9x +8)(x^2 -9x +20)
We note that these factors have a sum and difference with the same pair of values, x^2 and 9x. We can use the special form for the product of these to simplify our working out.
= (x^2 +9x)(x^2 -9x) +20(x^2 +9x) +8(x^2 -9x) +8(20)
= x^4 -81x^2 +20x^2 +180x +8x^2 -72x +160
p(x) = x^4 -53x^2 +108x +160
_____
The graph shows this polynomial has the required zeros.
Answer:
181 penguins on the last day of June.
250th penguin on 7 September.
Step-by-step explanation:
We have been given that in the book 365 Penguins, the family received a new penguin each day. They received their first penguin on January 1st and this pattern continued throughout this non-leap year.
First of all we need to find number of days in January to June.
January has 31 days, February has 28 days (Not a leap year), March has 31 days, April has 30 days, May has 31 days and June has 30 days.
Since penguin family receives 1 penguin each day, so 181 penguins will be in 181 days.
Therefore, the penguin family will have 181 penguins on the last day of June.
Now, we need to find the day, which will be on 250th day.
We already know that 181st day would be 30th June.
We know that July and August each has 31 days, so we will add 62 days to 181 that is .
243rd day would be 31st August.
Now, we will add 7 days to 243 days to get 250th day.
Since next month to August is September, therefore, the family will receive 250th penguin on 7 September.