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.
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B because you just work it out
Answer:
18 maybe
Step-by-step explanation:
a) The speed of car was 60 mph.
b) The speed of car was 45 mph.
Step-by-step explanation:
Given,
a = actual skid marks
p = test skid marks
Formula;

a) a = 144 feet, p = 36 feet
Putting in formula;

The speed of car was 60 mph.
b) a = 153 feet, p = 68 feet
Putting in formula;

The speed of car was 45 mph.
Keywords: substitution, speed
Learn more about substitution at:
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Answer:
4
3
2
1
Step-by-step explanation:
so thickening of the endometrium
then shedding of the endometrium
release of the egg
then menstrual flow