Step-by-step explanation:
Using the Intermediate Value Theorem, the following is applied:
"If f(x) is a continuous on interval [a,b] and we have two points f(a) and f(b) then there must be some value c such that f(a)<f(c)<f(b).
So here there must be a c such that
Note: F(c)=0, the questions that the function have a solution between 0 and 1, so that means we must have some value, c such that f(c)=0 that exists
Next, plug in the x values into the function
Since cubic functions are continuous and -4<0<4, then there is a solution c that lies between f(0) and f(1)
Answer:
x = 26
Step-by-step explanation:
m<RTS = 4x - 14 (given)
Based on the inscribed angle theorem, the measure of the inscribed angle in a semicircle = right angle (90°)
Therefore,
4x - 14 = 90
4x - 14 + 14 = 90 + 14 (addition property of equality)
4x = 104
4x/4 = 104/4
x = 26
The hunter should purchase 3 ounces of seeds and 7 ounces of dried fruit to satisfy the scenario.
<u><em>Explanation</em></u>
the amount of seeds and 
the amount of dried fruit.
As the hunter needs total 10 ounces of a snack mix , so the first equation will be..
Now the seeds cost $1.50 per ounce and the dried fruit costs $2.50 per ounce. And the mixture costs $2.20 per ounce, so the second equation will be:
According to the substitution method, we will isolate y from the first equation as 
Now we will substitute this into the second equation in place of 
Plugging this 
into the equation , we will get...
So, the hunter should purchase 3 ounces of seeds and 7 ounces of dried fruit to satisfy the scenario.
