How do you convert 6x + 19y = 19 into slope intercept form?

A new car is available with standard or automatic transmission, two or four doors, and it is available in 10 exterior colors. Wh

dezoksy [38]

Answer:

40

Step-by-step explanation:

Given that:

Number of options available for transmission = 2 (Standard or Automatic)

Number of options for doors = 2 (2 doors or 4 doors)

Number of exterior colors available = 10

To find:

Total number of outcomes = ?

Solution:

First of all, let us calculate the number of outcomes for the transmission mode and number of doors options.

1. Standard - 2 doors

2. Standard - 4 doors

3. Automatic - 2 doors

4. Automatic - 4 doors

Number of outcomes possible = 4 (which is equal to number of transmission mode available multiplied by number of doors options i.e. 2 $\times 2$ )

Now, these 4 will be mapped with 10 different exterior colors.

Therefore total number of outcomes possible :

Number of transmission modes $\times$ Number of doors options $\times$ Number of exterior colors

2 $\times$ 2 $\times$ 10 = 40

3 0

2 years ago

Use the discriminant to describe the roots of each equation. Then select the best description.

Paha777 [63]

The quadratic equation 3 · x² + 7 · x - 2 = 0 has a positive discriminant. Thus, the expression has two distinct real roots (real and irrational roots).

<h3>How to determine the characteristics of the roots of a quadratic equation by discriminant</h3>

Herein we have a quadratic equation of the form a · x² + b · x + c = 0, whose discriminant is:

d = b² - 4 · a · c (1)

There are three possibilities:

d < 0 - conjugated complex roots.
d = 0 - equal real roots (real and rational root).
d > 0 - different real roots (real and irrational root).

If we know that a = 3, b = 7 and c = - 2, then the discriminant is:

d = 7² - 4 · (3) · (- 2)

d = 49 + 24

d = 73

The quadratic equation 3 · x² + 7 · x - 2 = 0 has a positive discriminant. Thus, the expression has two distinct real roots (real and irrational roots).

To learn more on quadratic equations: brainly.com/question/2263981

#SPJ1

7 0

1 year ago

<img src="https://tex.z-dn.net/?f=%5Csqrt%7B45m%7D%20%5E%7B4%7D" id="TexFormula1" title="\sqrt{45m} ^{4}" alt="\sqrt{45m} ^{4}"

djyliett [7]

Answer:

Step-by-step explanation:

diez mil treinta y dos

3 0

2 years ago

Find all the zeros of f(x) help please

Licemer1 [7]

Since $f(6)=0$ , by the remainder theorem this means that x - 6 divides f(x) exactly. This means there are constants a, b, and c such that

$\dfrac{f(x)}{x-6} = ax^2 + bx + c$

Multiplying both sides by x - 6 gives

$f(x) = (x-6)(ax^2+bx+c) \\\\ 2x^3-19x^2+45x-18 = ax^3 + (b-6a)x^2 + (c-6b)x - 6c$

Then a, b, c satisfy

$\begin{cases}a=2 \\ b-6a=-19 \\ c-6b=45 \\ -6c=-18\end{cases}$

and solving this system gives a = 2, b = -7, and c = 3.

So, we have

$2x^3-19x^2+45x-18 = (x - 6) (2x^2 - 7x + 3)$

The quadratic term can be factored as

$2x^2 - 7x + 3 = (2x - 1)(x - 3)$

which leaves us with

$f(x) = (x-6)(2x-1)(x-3)$

so that the zeros of f(x) are 6, 1/2, and 3.

4 0

2 years ago

Steve and Joy want to make some money over spring break. Their mother tells Joy that she will get a starting bonus of $7 and the

vlada-n [284]

Just keep adding the numbers till they are even so in the case you have 11 15 19 23 27 31 35 39 43 47 for joy and 15 18 21 24 27 30 33 36 39 41 44 47. so they both earned 47 dollars and joy worked 10 hours and steve worked 12 hours

4 0

2 years ago

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