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3 years ago

Find the average of the following numbers −30 and 25

Mathematics

1 answer:

alina1380 [7]3 years ago

7 0

Answer: -2.5

Step-by-step explanation:

The average can be found by adding up the numbers then dividing by how many numbers there are in this case there are two numbers.

-30+25=-5

-5/2 = -2.5

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If, a quadratic equation in the form of ax+ bx + c = 0 has a discriminant

tekilochka [14]

Answer:

True

Step-by-step explanation:

The discriminant is the part of the quadratic formula that is inside the square root, b²-4ac. If b²-4ac is 32, a positive number, then the solutions will be rational numbers. If this discriminant was a negative value, then you would get imaginary numbers (non rational).

3 0

2 years ago

What is the area of this parallelogram? 28 m² 56 m² 84 m² 120 m²

svetlana [45]

Answer:

84 m² is the correct answer.

Step-by-step explanation:

first, split the parallelogram into three shapes: the two triangles on either side of the shape, and the rectangle in the middle.

the formula for the area of a triangle is base x height / 2. all of the measures are indicated in the picture so that means that 4 x 7 / 2 = 14. since there are two triangles, add 14 + 14 = 28.

then, find the area of the rectangle. the area of a rectangle is length x width. 8 x 7 = 56.

56 + 28 = 84.

6 0

3 years ago

The curve y = |x|/ 5 − x2 is called a bullet-nose curve. find an equation of the tangent line to this curve at the point (2, 2).

diamong [38]

We have the following curve:

$y=\frac{\left | x \right |}{5-x^2}$

So we need to find an equation of the tangent line to this curve at the point $(2,2)$ . So let's find out if this point, in fact, belongs to the curve:

 $If \ x=2 \\ \\ y=\frac{\left | 2 \right |}{5-2^2}=\frac{\left | 2 \right |}{5-4}=2$ .

We also know that:

 $\left | x \right |= \left \{ {{x \ if \ x \ \geq 0} \atop {-x \ if \ x\ \textless \ 0}} \right.$ 

Given that the point is:

 $(2,2)\ that \ is: \\ x=2\ \textgreater \ 0$

Then we will say that:

$\left | x \right |=x$

Therefore:

$y=\frac{x}{5-x^2}$

Computing the derivative:

$y=\frac{x}{5-x^2} \\ \frac{dy}{dx}= \frac{(1)(5-x^2)-(-2x)x}{(5-x^2)^2}=\frac{5+x^2}{(5-x^2)^2}$

So the derivative solved for $x=2$ is in fact the slope of the line at the point $(2,2)$ , then:

$\frac{dy}{dx} |_{x=2}=\frac{5+x^2}{(5-x^2)^2}|_{x=2}=\frac{5+2^2}{(5-2^2)^2}=9 \\ \\ \therefore m=\frac{dy}{dx} |_{x=2}=9$

Finally, the tangent line is:

$y-y_1=m(x-x_1) \\ \therefore y-2=9(x-2) \\ \therefore \boxed{y=9x-16}$

This is shown in the figure below.

8 0

3 years ago

When choosing a new school mascot, 80 students voted for an eagle, and 160 students voted for a bulldog. Rounded to the nearest

makvit [3.9K]

Simple.
100% of the student body is 160 + 80, which is 240.

160 is 66.7% of 240.
So 66.7% voted for a bulldog.

Hope this helps!

5 0

3 years ago

Read 2 more answers

An English book consists of two sections, literature and grammar, in a ratio of 3:2. How much of each type of content will be ne

zheka24 [161]

Answer:

For Literature = 90 pages

For Grammar = 60 pages

Step-by-step explanation:

An English book consists of two sections, literature and grammar, in a ratio of 3:2. How much of each type of content will be needed to make a book of 150 pages?

Literature : Grammar

3 : 2

Total number of Proportion = 3 + 2 = 5

For Literature

= 3/5 × 150 pages

= 90 pages

For Grammar

= 2/5 × 150 pages

= 60 pages

5 0

3 years ago