What is the slope for y = 4 + 3x? * Your answer

Can you ever use a calculator to determine if a number is rational or irrational?

timofeeve [1]

A rational number is simply a term that can be expressed as a fraction. Otherwise, that is an irrational number. So, you can use a calculator to verify if the number is rational or not.

The key characteristic of an irrational number is when it contains a long line of decimal places. For example, the term π and the Euler's number e are irrational numbers. The exact values of π and e are 3.14159 and 2.71828182846, respectively. In reality, those decimal places go on a long way. Particularly, π has a total of 2.7 trillion digits. Numbers inside radicals or roots can also be irrational numbers. For example √3 is irrational because it is equal to 1.732050808. However, not all radicals are irrational. For example √15.3664 is equal to 98/25 or 3.92. That is a rational number. So, therefore, use the calculator to know the exact value of the term to properly distinguish rational from irrational.

3 0

2 years ago

If f(x) = 2x - 4 and g(x)= x², what is f(g(x))?

kupik [55]

Answer:

D

Step-by-step explanation:

To evaluate f(g(x)) substitute x = g(x) into f(x)

f(g(x))

= f(x²)

= 2(x²) - 4 = 2x² - 4

6 0

3 years ago

Graph y+6=45(x+3) using the point and slope given in the equation

il63 [147K]

Step-by-step explanation:

We have been given an equation y+6=45(x+3) in point slope form.

It says to use the point and slope from given equation to create the graph.

So compare equation y+6=45(x+3) with point slope formula

y-y1=m(x-x1)

we see that m=45, x1=-3 and y1=-6

Hence first point is at (-3,-6)

slope m=45 is positive so to find another point, previous point will move 45 units up then 1 unit right and reach at the location (-2,39).

Now we just graph both points (-3,-6) and (-2,39) and join them by a straight line. Final graph will look like the attached graph.

7 0

3 years ago

Could I have some help please

solmaris [256]

Since AB=AD, the triangle on the left is isosceles and has two 35 degree angles. Since the sum of all the interior angles is 180 deg,

x = 180 deg - 2(35 deg) = 110 deg (answer)

3 0

2 years ago

Sara is a drummer in her school is marching band she wants to make a geometrically similar model of a snare drum for her stuffed

strojnjashka [21]

Answer:

Option B.

Step-by-step explanation:

Let the radius of the snare drum = r

and radius of the model = R

Ratio of the dimensions of the snare drum and the model = 1 : 4

So, $\frac{r}{R}=\frac{1}{4}$