Two numbers add to 151 and the second is 21 bigger than the first. What are the two numbers?
2 answers:
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To solve an equation for x we will try to isolate x. Hence, first step is to use the distributive property. Therefore,
4x + 29 = 5 - 8(x+6)
4x + 29 = 5 - 8x - 48
4x + 29 = - 43 -8x Combine the like terms.
4x + 29 + 8x = -43 Add 8x to each sides of the equation.
12x + 29 = -43
12x = -43 - 29 Subtract 29 from each sides.
12x = -72
So, x =- 6
Answer:
- A zero can be found between input values of <u> x = - 1 and x = 0 </u> because one zero of the function is approximately <u> - 0.5 </u>.
Explanation:
The first pictured attached contains the table with the data for this question.
The<em> input values</em> are the values of x.
Since the<em> function</em>, f(x), changes sign between x = - 1 (y = - 0.5) and x = 0 (y = 2.5), if you assume the function is continuous, you can assert that the graph of the function crosses the x-axis between those two values.
The x-coordinate where the graph crosses the x-axis is a zero of the function.
Then, you can assert that there is a zero between the input values of - 1 and 0.
That zero is approximately - 0.5. This is, the function crosses the x-axis approximately at x = - 0.5.
The second picture skecthes a graph showing the given points where you can see that the dotted curve crosses the x-axis close to x = - 0.5.
