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3 years ago

How many real cube roots does –1 have?

Mathematics

1 answer:

Arlecino [84]3 years ago

7 0

Answer:

every number has a real root which is 1

this is not plagirism, the guy in the comments is copying and pasting so be careful. it can get you kicked out of your school.

Step-by-step explanation:

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I’m stuck, please give the explanation for the first question.

gladu [14]

----------------------------------------------
Define x:
----------------------------------------------
Let x be the number of students in the second class:
⇒second class = x

There are 3 more students in the first class than in the second class:
⇒first class = x + 3

There are 2 more students in the third class than in the second class:
⇒third class = x + 2

----------------------------------------------
Expression for each class:
----------------------------------------------
First class = x + 3
Second class = x
Third class = x + 2

----------------------------------------------
Expression for total number of students:
----------------------------------------------
Total = x + 3 + x + x + 2
Total = 3x + 5

----------------------------------------------
Find x:
----------------------------------------------
There are 80 students in total, so
3x + 5 = 80
3x = 75
x = 25

----------------------------------------------
Find the number of students in each class:
----------------------------------------------
First class = x + 3 = 25 + 3 = 28
Second class = x = 25
Third class = x + 2 = 25 + 2 = 27

--------------------------------------------------------------------------------------------
Answer: There are 25 students in the second class.
--------------------------------------------------------------------------------------------

6 0

4 years ago

Read 2 more answers

1. Write an<br> expression that is equivalent to 15m - 12

Harlamova29_29 [7]

Answer:

Use the distributive property to write an equivalent expression 2f + 10 answers: a. f(2 +10) b. 2(f + 5) c. 2(f + 10)

Step-by-step explanation:

3 0

3 years ago

20 POINTSSS HELPPP!! Christa is comparing prices for the same brand and model of a security camera. Which store offers the lowes

salantis [7]

Store B has the lowest price

8 0

3 years ago

Read 2 more answers

DRaw the graph of f (x) = 1/2 x² -2x where -2 < x < 4

Flura [38]

Answer:

Graphs Attached Below

Step-by-step explanation:

Hello!

Standard form of a quadratic: $ax^2 + bx + c= 0$

From our Equation:

a = 1/2
b = -2
c = 0

There are several values that are needed to drawing a parabola:

y - intercept
Axis of Symmetry (AOS)
Vertex
x - intercepts

<h2>Y-intercept</h2>

Standard form of a quadratic: $ax^2 + bx + c= 0$

The y-intercept is the "c" value. Given that our equation has a "c" value of 0, the y -intercept is 0.

<h2>Axis of Symmetry</h2>

A parabola is always symmetrical vertically. The line in which the fold happens is the Axis of Symmetry.

To calculate the AOS, we use the formula $AOS = \frac{-b}{2a}$ , from the values of the equation.

Calculate

$AOS = \frac{-b}{2a}$
$AOS = \frac{-(-2)}{2(0.5)}$
$AOS = \frac{2}{1}$
$AOS = 2$

The Axis of Symmetry is a vertical line, so the AOS is the line x = 2.

<h2>Vertex</h2>

The vertex is the highest or lowest point on the graph of a parabola. It resides on the AOS of the graph.

To calculate the vertex, we simply have to find the y-value, given that we have the x-value from the AOS. We can find the y-value by plugging in the AOS for x in the original equation.

Calculate

$f(x) = \frac12x^2 - 2x$
$f(x) = \frac12 (2)^2 - 2(2)$
$f(x) = 2 - 4$
$f(x) = -2$

The y-value is -2. The vertex is (2, -2).

<h2>X-intercepts</h2>

The x-intercepts are the points where the graph intersects the x-axis (y = 0).

Solve by Factoring

$f(x) = \frac12 x^2 - 2x$
$0 = \frac12x(x - 4)$
$x = 0, x = 4$

The roots are (0,0) and (4,0).

<h2>Graph</h2>

Now we just draw the y-intercept, vertex, AOS, and the x-intercepts, and draw a curved line between them.

<em>Image Attached</em>

<h2>Domain Restrictions</h2>

The Domain (x-values) are being restricted to all x-values that are greater than or equal to -2 and less than 4.

That means we remove the parts of the line that don't belong in that domain.

<em>Image Attached</em>

3 0

2 years ago

Ross read that, in 1900, the 10,700,000 teens living in the United States made up 14% of the population. Using this data, he wan

fenix001 [56]

This is the equation for the problem
$\frac{14}{100} = \frac{10700000}{ x}$
and if you want to find x (the population of America in 1900 :
$x = \frac{10700000 \times 100}{14} \\ = \frac{1070000000}{14} = 76428571$
the population of America in 1900 was 76,428,571

8 0

4 years ago