Answer:
-3
Step-by-step explanation:
4(2)-2(2+4)+1=8-2(6)+1=9-12=-3
B, because you subtract 9 from both sides(2x-9 leaves 2x by itself then 33-9=24), which leaves you with 2x=24 the you divide everything by 2 which leaves you with x=12
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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There are 37 eight ounce of cheese.
37 times 8 = 296 ounces of cheese.
There are 16 ounces in a pound, so divide.
296/16 = 18.5 pounds on the shelf.
Then he places 24 ounce of cheese on the shelf. Divide that by 16.
24/16 = 1.5 pounds.
Add the pounds together-
18.5 + 1.5 = 20 pounds (lbs)