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Tom [10]
4 years ago
5

Does the data in the table represent a direct variation or an inverse variation write an equation to model the data in the table

x 6,8,12,20 y 9,12,18,30
Mathematics
1 answer:
Ira Lisetskai [31]4 years ago
4 0

Answer:

direct variation

Step-by-step explanation:

For direct variation k = \frac{y}{x} ← k is the constant of variation

For inverse variation k = yx

Expressing the data as ordered pairs

(6, 9), (8, 12), (12, 18), (20, 30)

k = \frac{9}{6} = \frac{12}{8} = \frac{18}{12} = \frac{30}{20} = \frac{3}{2} = 1.5 ← indicating direct variation

Equation is

y = kx = 1.5x

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6x^2-5x-4=0 <br> solving quadratics by factoring (answer with {} around it)
stepan [7]

Step-by-step explanation:

6x²–5x–4 = 0

6×4 = 24..

write many ways 24 can be written..

24 = (6×4), (1×24), (12×2), (8×3)

(8×3) --> –8+3 = –5

6x²+3x–8x–4 = 0

6x(x+½)–8(x+½) = 0

(6x–8)(x+½) = 0

6x–8 = 0, x+½ = 0

6x = 8, x = –½

x = 4/3, –½

3 0
3 years ago
If h (x) = -5x-7 then what is h (x-1) ?
goldenfox [79]

Answer:

h(x - 1) = -5x - 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

Terms/Coefficients

Functions

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

h(x) = -5x - 7

<u>Step 2: Find</u>

  1. Substitute in <em>x </em>[Function h(x)]:                                                                          h(x - 1) = -5(x - 1) - 7
  2. [Distributive Property] Distribute -5:                                                                h(x - 1) = -5x + 5 - 7
  3. Combine like terms:                                                                                         h(x - 1) = -5x - 2
6 0
3 years ago
What is the first ordered pair and the second ordered pair?
Delvig [45]
When x=-5, y=(1/5)*(-5)-1=-2, so the first order pair is (-5,-2)
when y=-1, -1=(1/5)x-1, (1/5)x=0, x=0, so the second ordered pair is (0, -1)
7 0
3 years ago
Identify a possible first step using the elimination method to solve the system and then find the solution to the system. 2x − 5
tatuchka [14]

In order to use the elimination method, we have to multiply the equation by some number, so that one of the variable has the same coefficient.

For example, multiplying the first equation by 3 and the second by 2 gives the following, equivalent system:

\begin{cases}6x-15y=33\\6x+4y=14\end{cases}

Now, we can subtract the two equations, and we will cancel (eliminate) the x variable:

-19y=19 \iff y=-1

Now that y is known, plug it into one of the equations: for example, if we use the first one we get

2x+5 = 11 \iff 2x = 6 \iff x=3

6 0
4 years ago
Read 2 more answers
43/645= I need the to show the work
Licemer1 [7]
I'm guessing you need 43/645 simplified:

First, we need to find the greatest common factor (GCF) of the numerator (43) and the denominator (645). To do so, we list all the factors of each number and find the common ones.

Factors of 43: 1, 43
Factors of 645: 1, 3, 5, 15, 43, 129, 215, 645

Out of the listed factors for each number, which numbers are common between the two? The common factors are 1 and 43. Since we are looking for the GREATEST common factor, which number out of 1 and 43 is the greatest? The GCF is 43.

Second, we can now divide the numerator (43) and the denominator (645) by the GCF we recently found which was 43. 

43 \div 43 = 1 \\ 645 \div 43 = 15

Third, our new simplified fraction is 1/15. We collected our new numerator and denominator.

Answer in fraction form: \fbox {1/15}
Answer in decimal form: \fbox {0.0667}
4 0
3 years ago
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