Answer:
jeub42hg24h vhrj vjo24 ve4goj
Step-by-step explanation:
Same-side interior angles, which are shown here, are supplementary, which means that they add up to 180 degrees.
5a + a = 180
6a = 180
a = 30 degrees
Hope this helps! :)
Answer:
<u>$211.50</u>
Step-by-step explanation:
Initially:
21 hours per week at 8.25 per hours means:
21 * 8.25 = 173.25 dollars per person
16 person = 16 * 173.25 = $2772 (total)
2nd phase:
2 more cashier = 16 + 2 = 18 cashiers
Per hour 0.25 more, so 8.25 + 0.25 = $8.50 per hour
1.5 hrs less than 21, so 21 - 1.5 = 19.5 hours
Hence,
18 * 19.5 * 8.50 = $2983.50 (new total)
Change in money paid = 2983.50 - 2772 = $211.50
The smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.
What is the intermediate value theorem?
Intermediate value theorem is theorem about all possible y-value in between two known y-value.
x-intercepts
-x^2 + x + 2 = 0
x^2 - x - 2 = 0
(x + 1)(x - 2) = 0
x = -1, x = 2
y intercepts
f(0) = -x^2 + x + 2
f(0) = -0^2 + 0 + 2
f(0) = 2
(Graph attached)
From the graph we know the smallest positive integer value that the intermediate value theorem guarantees a zero exists between 0 and a is 3
For proof, the zero exists when x = 2 and f(3) = -4 < 0 and f(0) = 2 > 0.
<em>Your question is not complete, but most probably your full questions was</em>
<em>Given the polynomial f(x)=− x 2 +x+2 , what is the smallest positive integer a such that the Intermediate Value Theorem guarantees a zero exists between 0 and a ?</em>
Thus, the smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.
Learn more about intermediate value theorem here:
brainly.com/question/28048895
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