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
Answer:
h(x - 1) = -5x - 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Terms/Coefficients
Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
h(x) = -5x - 7
<u>Step 2: Find</u>
- Substitute in <em>x </em>[Function h(x)]: h(x - 1) = -5(x - 1) - 7
- [Distributive Property] Distribute -5: h(x - 1) = -5x + 5 - 7
- Combine like terms: h(x - 1) = -5x - 2
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)
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:

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

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

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.

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

Answer in decimal form: