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3 years ago

How can you classify the results of operations on real numbers?

2 answers:

5 0

Closure property: If a and b are real numbers, a+b is also a real number.
- Associative property: a+(b+c) = (a+b)+c.
- Commutative property: a+b = b+a.
- Additive identity: a+0 = a.
- Additive inverse: a + (-a) = 0.
For Multiplication -

Tanzania [10]3 years ago

4 0

A squared plus B squared equals C squared

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2. Abby found the axis of symmetry, x-coordinate, the vertex, and y-intercept

krek1111 [17]

Using quadratic function concepts, it is found that Abby made a mistake on the coordinates of the vertex, which are (-4,1).

----------------------

A quadratic function is defined by:

$y(x) = ax^2 + bx + c$

The y-intercept is given by point: $(0, y(0))$
The vertex is given by: $(-\frac{b}{2a}, y(-\frac{b}{2a}))$ .
The axis of symmetry is: $x = -\frac{b}{2a}$

----------------------

The function given is:

$f(x) = -x^2 - 8x - 15$

Which is a quadratic equation with: $a = -1, b = -8, c = -15$ .
$f(0) = -0^2 - 8(0) - 15 = -15$ , thus, the y-intercept is (0, -15).

$x_v = -\frac{b}{2a} = -\frac{(-8)}{2(-1)} = \frac{8}{-2} = -4$

Thus, the <u>x-coordinate of the vertex</u> is x = -4, which is the same as the <u>axis of symmetry</u>.

$f(-4) = -(-4)^2 - 8(-4) - 15 = 1$

The vertex is given by: (-4,1).

A similar problem is given at brainly.com/question/14680175

8 0

3 years ago

How to graph sin100=n/1200

ArbitrLikvidat [17]

<h3>How to graph sin100=n/1200</h3>

$\frac{n}{1200} = sin(100)$

$1200 \times \frac{n}{1200} = 1200 \times sin(100)$

$n = 1200 \times sin(100)$

$n = 1200 \times 0.98480775$

$n = 1181.76930361$

HopeItHelps you

3 0

3 years ago

A truck driver has to make a delivery at a location that is 230.2 miles away. She drives an average of 55 miles each hour for 3.

Vlad [161]

Answer:

The driver will make it to the location in the next hour

Step-by-step explanation:

First, find how many miles they traveled in 3.25 hours, by multiplying 55 by 3.25:

55(3.25)

= 178.75

Then, add 55 to this to see if the driver will make it in the next hour:

178.75 + 55

= 233.75

Since this is greater than 230.2, this means they will make it to the location.

So, the driver will make it to the location in the next hour.

5 0

3 years ago

Read 2 more answers

One day of the week is selected at random. To the nearest tenth of percent, what is the probability that the chosen day is Satur

andriy [413]

Answer:

Step-by-step explanation:

=1/7 X 100

=14.3

I hope this helps a bit

4 0

3 years ago

Over the past several years, the owner of a boutique on Aspen Avenue has observed a pattern in the amount of revenue for the sto

NARA [144]

Answer:

f(x) = 10500sin(π/6(x -3)) +39500

Step-by-step explanation:

The average of the maximum and minimum revenue is the vertical offset of the function, parameter D.

D = (50,000 +29,000)/2 = 39,500

The amplitude of the function is the difference between the maximum and the offset.

A = 50,000 -D = 50,000 -39,500 = 10,500

The horizontal scale factor B is a number that will be equal to 2π when x-C = 12:

12B = 2π

B = π/6 . . . . . . divide by 12

The horizontal offset is such that revenue is neutral and increasing at the value x=C. That will be in the month of March, when x=3, so C=3.

Now we have all the parameters, so we can write the equation:

f(x) = 10500sin(π/6(x -3)) +39500

7 0

3 years ago

How can you classify the results of operations on real numbers? ​

How can you classify the results of operations on real numbers?