Answer:
Step-by-step explanation:
Let
x -----> Hermione was earning before the pay raise
we know that
so
The linear equation that represent this problem is
Solve for x
Divide by 1.05 both sides
34 days to 2 weeks the ratio is
1 answer:
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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:
#SPJ4
Answer:
The solution is
Step-by-step explanation:
To solve this exponential equation, we must write both sides as powers of 3.
The equation given is:
Since , we have that
, so
Then
Since both sides are now powers of 3, we can equal them:
The solution is