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3 years ago

Can you help me on problem number 16.

Mathematics

2 answers:

Gnom [1K]3 years ago

7 0

You can divide it and see what you get for it

Ganezh [65]3 years ago

6 0

2,552or 960 not sure.

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Let f(x) = cos(x) + 2x. Where does f have critical points?

adell [148]

Answer:

f has no critical points.

Step-by-step explanation:

We are given:

$f(x)=\cos(x)+2x$

A function has critical points whenever its derivative equals 0 or is undefined.

Differentiate the function:

$f'(x)=-\sin(x)+2$

Since this will never be undefined, solve for its zeros:

$0=-\sin(x)+2$

Hence:

$\displaystyle \sin(x)=2$

Recall that the value of sine is always between -1 and 1.

Thus, no real solutions exist.

Therefore, f has no critical points.

6 0

3 years ago

A restaurant uses 4.375 pounds of cheese for every pizzas. At this rate, how many pounds of cheese are used per pizza?

faltersainse [42]

Complete Question:

A restaurant uses 4.375 pounds of cheese every 8 and 3/4 pizzas. At this rate how many pounds of cheese are used per pizza?

Answer:

0.5 pounds of cheese are used per pizza

Solution:

Given that,

A restaurant uses 4.375 pounds of cheese every 8 and 3/4 pizzas

Therefore,

$4.375\ pounds = 8\frac{3}{4}\ pizza \\\\4.375\ pounds = \frac{35}{4}\ pizza$

We have to find pounds used per pizza

Let "x" be the pounds used per pizza

Then,

$4.375\ pounds = \frac{35}{4}\ pizza \\\\x\ pounds = 1\ pizza$

By cross multiplying,

$4.375 \times 1 = x \times \frac{35}{4} \\\\x = 0.5$

Thus, 0.5 pounds of cheese are used per pizza

8 0

3 years ago

Linear or nonlinear tables?

Oxana [17]

Table 1 and Table 2 are linear tables while table 3 is a non-linear table.

Step-by-step explanation:

Step 1; If y's value is dependent on the value of x, it is a linear relationship i.e. as the value of x varies, y also varies correspondingly. So x is independent while y is dependent on x i.e. the value of y depends on the value of x. We need to determine if there is a linear relationship between the values of x and y in the given tables.

Step 2; In table 1, the values of y are squares of the values of x i.e. 1² = 1, 2² = 4, 3² = 9, 4² = 16, 5² = 25. So the relationship is y = x². So table 1 is a linear table i.e. values which exist in a linear relationship.

Step 3; In table 2, the values of y are obtained by summing two times the value of x and 4.

when x = 1, y = 2(1) + 4 = 6,

when x = 2, y = 2(2) + 4 = 8,

when x = 3, y = 2(3) + 4 = 10,

when x = 4, y = 2(4) + 4 = 12,

when x = 5, y = 2(5) + 4 = 14.

So y = 2x + 4, so table 2 is also a linear table.

Step 4; There is no relationship between the values of y and x. For the negative values of x, y = -x while for positive values of x, y = x, there is no constant relationship between the values of y and x. So table 3 is a non-linear table.

4 0

3 years ago

If two points of a ray lie in a plane, then all of the ray lies in the plane.true or false

Gnoma [55]

The correct answer for the given statement above would be FALSE. If two points of a ray lie in a plane, then not all of the ray lies in the plane because if two points of a ray lie in a plane, that does not imply that the ray lies in the plane. If A then B, B does not necessarily imply A. This makes the statement incorrect.

3 0

3 years ago

For the function f(x) = –(x + 1)^2 + 4, identify the vertex, domain, and range.

olga_2 [115]

B; you can graph the function on a graphic calculator or use algebra find each of the desired aspects

5 0

3 years ago

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