Answer:
Only one extreme value of f(x) is possible.
Step-by-step explanation:
We are given the quadratic function of independent variable x which is f(x) = x² - 7x - 6 ......(1)
Now. the condition for extreme values of f(x) is 
Hence, differentiating both sides of equation (1) with respect to x, we get
= 0
⇒ x = 3.5.
So there is only one value of x for which f(x) has extreme value which is x = 3.5.
Therefore, only one extreme value of the given function is possible. (Answer)
The volume of the cube is 54.87 but rounded to the nearest tenth is 54.9
The exact volume of the cylinder is 1770.28 but rounded is 1770.29 and the approximate volume of the cylinder is 1769.36
Answer:
The value of the test statistic is -3.14.
Step-by-step explanation:
Test statistic:
In which X is the sample mean, 
is the expected value, 
is the standard deviation and n is the size of the sample.
A company advertises that its cans of caviar each contain 100 g of their product.
This means that 
They calculate a sample mean weight of 99 g and a sample standard deviation of 0.9 g. Sample of 8 cans.
This means that 
So the test statistic will be given by:
The value of the test statistic is -3.14.
<span>This is a quadratic equation . We order to equate to zero
</span>2x²<span> – 7 = 9
</span>
2x² - 7-9 = 0
2x² - 16 = 0
This equation is a binomial
2* (x² - 8) = 0
<span>We choose the simplest method . The equation with practice it can be calculated in the memory
</span><span>
The product is equal to 0 if one of the factors is zero
</span>
2≠0 ∨ x² - 8 = 0
x² = √8
x = √8 ∨ x= - √8
Answer : x = √8 ∨ x = -√8
Answer:
4%
Step-by-step explanation:
The unemployment rate is calculated by dividing the number of unemployed(2 million) by the labor force (50million) and multiplying the result by 100.
Labor force is the total number of unemployed and employed persons in a country. In this case, we have:
Labor force= No. of unemployed (in million) + No. of full time employed (in million) + No. of part time employed (in million) = 2 + 38 + 10 = 50 million
Unemployment rate= 2/50 × 100 = 4%
Therefore, the rate of unemployment is 4%.
