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4 years ago

given the equation y = 2x - 8, find the ordered-pair solution when x = 4 and the ordered-pair solution when y = 4

Mathematics

1 answer:

babunello [35]4 years ago

6 0

Answer:

When x = 4, (4, 0)

When y = 4, (6, 4)

Step-by-step explanation:

To find the ordered-pair solution when x = 4, plug 4 into the x of the equation.

y = 2x - 8

y = 2(4) - 8

y = 8 - 8

y = 0

This produces the ordered pair (4, 0).

To find the ordered-pair solution when y = 4, plug 4 into the y of the equation.

y = 2x - 8

4 = 2x - 8

12 = 2x

6 = x

x = 6

This produces the ordered pair (6, 4).

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Given 3x^2+x-4/x-1 what are the domain and range

Katarina [22]

Answer:

doman: x ≠ 1
range: y ≠ 7

Step-by-step explanation:

The domain is the horizontal extent of the graph, the set of x-values for which the function is defined. The range is the vertical extent of the graph, the set of y-values defined by the function.

<h3>Simplified</h3>

The given function is undefined where its denominator is zero, at x=1. Everywhere else, it can be simplified to ...

$\dfrac{3x^2+x-4}{x-1}=\dfrac{(x-1)(3x+4)}{(x-1)}=3x+4\quad x\ne 1$

<h3>Domain</h3>

The simplified function (3x+4) is defined for all values of x except x=1. The simplest description is ...

x ≠ 1

In interval notation, this is ...

(-∞, 1) ∪ (1, ∞)

<h3>Range</h3>

The simplified function is capable of producing all values of y except the one corresponding to x=1: 3(1)+4 = 7. The simplest description is ...

y ≠ 7

In interval notation, this is ...

(-∞, 7) ∪ (7, ∞)

6 0

2 years ago

At a school, 102 students play at least one sport. This is 40% of the students at the school. How many students are at the sc

viktelen [127]

To get from 40% to 100%, divide by 2 and multiply by 5.
I.e. 40/2 = 20
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Do the exact same for 102
102/2 = 51
51 x 5 = 255 students

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3 years ago

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There are 4 red balls, 6 white balls, and 3 blue balls in a bag. If one ball is drawn from the bag at random, what is the probab

grandymaker [24]

4 + 6 + 3 = 13
1 (total possibility) - 6 / 13 (chance of white ball)
= 7/13
Answer:
C; 7/13

3 0

4 years ago

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Please help ill give you 20 points :c

posledela

Answer: D+Q= 30

0.10 d+ 0.25 q= 4.80

Step-by-step explanation:

A dime is worth 10 cents and a quarter is worth 25 cents.

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4 years ago

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I need help on this (-4)²<br> help me

zavuch27 [327]

Answer:

Step-by-step explanation:

To have anything to a power is just multiplying the number as many times as it says to. ex. 2^3 is two times itself 3 times. 2 x 2 x 2= 8

In your case, you need to multiply -4 x -4 because the exponents tell you how many of the number you multiply.

-4 x -4 = 16

Hope this helps :)

8 0

3 years ago