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2 years ago

Select the correct answer.

Mathematics

1 answer:

torisob [31]2 years ago

4 0

Answer:

C. - f(x) = f( - x)

Step-by-step explanation:

Property of the odd function is:

- f(x) = f( - x)

Same applies to the given function:

f(x) = -2x⁵ + x³ - 7x
f(- x) = -2(-x)⁵ + (- x)³ - 7(-x) = 2x⁵ - x³ + 7x = - (2x⁵ + x³ - 7x) = - f(x)

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Which types of waves are stopped by the atmosphere (ozone)??

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Dangerous UV waves, and long radio waves

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2 years ago

Triangle DNO has vertices at D(5, 8), N(– 3, 10), and O(– 3, 6). If vertex D is translated 4 units to the right, the best name f

prisoha [69]

Using distance between two points to find the lengths of the edges of the triangle, the correct option is:

b. Isosceles

The distance between two points, $(x_1,y_1)$ and $(x_2,y_2)$ , is given by:

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Vertex D is translated 4 units to the right is (9,8).

The lengths of the edges are:

$DN = \sqrt{(9 - (-3))^2 + (8 - 10)^2} = \sqrt{12^2 + 2^2} = \sqrt{148}$

$DO = \sqrt{(9 - (-3))^2 + (8 - 6)^2} = \sqrt{12^2 + 2^2} = \sqrt{148}$

$NO = \sqrt{(-3 - (-3))^2 + (10 - 6)^2} = \sqrt{0^2 + 4^2} = 4$

Two edges of the same length, hence, it is an isosceles triangle, given by option b.

You can learn more about distance between two points at brainly.com/question/18345417

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2 years ago

What is 8/9 - 15/45

vagabundo [1.1K]

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2 years ago

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3 years ago

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After a storm, 135 trees out of 180 were left standing. What is the percentage loss of the number of trees?

beks73 [17]

Answer:

Percentage loss of the number of trees is $25\%$ .

Step-by-step explanation:

Given: After a storm, $135$ trees out of $180$ were left standing.

To find: What is the percentage loss of the number of trees?

Solution:

We have,

Total number of trees $=180$

Number of trees left standing $=135$

Therefore, loss of trees $=180-135=45$

We now that $\text {Loss\%}=\frac{\text{Number of trees left}}{\text{Total number of trees}}\times 100 \%$

$\implies \text {Loss\%}=\frac{45}{180}\times 100 \%$

$\implies \text {Loss\%}=\frac{450}{18} \%$

$\implies \text {Loss\%}=25 \%$

Hence, the percentage loss of the number of trees is $25\%$ .

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3 years ago