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worty [1.4K]
3 years ago
8

Are the following equations parallel, perpendicular, or neither? y= 3x - 1 and y =

Mathematics
1 answer:
Readme [11.4K]3 years ago
6 0

Answer:

Perpendicular

Step-by-step explanation:

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can someone explain it to me, i don't need the answer, i just need an detailed explanation of how they got the answer using the
zubka84 [21]

Answer:

Step-by-step explanation:

Good idea to review quadratic functions and the quadratic formula.

Quadratics have three coefficients:  ax² + bx + c, and the "discriminant" is defined as b²-4ac.  Please review these rules:

1) if the discriminant is +, the quadratic equation has two real, unequal roots.

2) if the disc. is 0, the equation has two real, equal root.

3) If the disc. is - , the equation has two complex roots.

Here a = 1, b  = -3 and c = 4.  Therefore the discriminant is (-3)²-4(1)(4), or

-7.  Rule 3) applies:  the equation has two complex roots, but no real ones.  Thus we know that the graph does not cross the x-axis.

Graphing the given quadratic, x² - 3x + 4, using a dashed "line," is helpful.  As you can see in the illustration of this graph, the graph neither touches nor crosses the x-axis.  Thus, y = x² - 3x + 4 is greater than 0 for all x.  The answer:  All real numbers.

4 0
3 years ago
What are the equations for these graphs
telo118 [61]
There are no graphs available.
4 0
4 years ago
While on vacation in Europe you notice that a tablet computer is selling for 600 euros in France and for 533 pounds in Britain.
serg [7]

The cost of the tablet computer is less in France. It is $8.

Step-by-step explanation:

Cost in France = 600 euros

75 euros = 1 dollar

600 euros = 600/75 dollars

=$ 8

Cost in Britain = 533 pounds

65 pounds = 1 dollar

533 pounds = 533/65 dollars

= $8.2

The cost of the tablet computer is less in France. It is $8.

3 0
3 years ago
When using the rational root theorem, which of the following is a possible root of the polynomial function below f(x)=x^3-5x^2-1
uranmaximum [27]

Answer:

\Large \boxed{\sf \ \ 7 \ \ }

Step-by-step explanation:

Hello, please consider the following.

The polynomial function is

x^3-5x^2-12x+14

The rational root theorem states that each rational solution

   x=\dfrac{p}{q}    

, written in irreducible fraction, satisfies the two following:

   p is a factor of the constant term

   q is a factor of the leading coefficient

In this example, the constant term is 14 and the leading coefficient is 1. It means that p is a factor of 14 and q a factor of 1.

Let's proceed with the prime factorisation of 14:

14 = 2 * 7

Finally, the possible rational roots of this expression are :

   1

   2

   7

   14

and we need to test for negative ones too

   -1

   -2

   -7

   -14

From your list, the correct answer is 7.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0
4 years ago
Simplify the expression:
Lelu [443]
\cfrac{(12-5)^7}{\left((3+4)^2\right)^2}= \cfrac{7^7}{(7^2)^2} =\cfrac{7^7}{7^4}=7^{7-4}=7^3=343
5 0
3 years ago
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