The value of x when h(x) = -1 is 3.5
Step-by-step explanation:
In the function f(x) = y
- x is the input
- y is the output
∵ h(x) = -6x + 20
∵ h(x) = -1
- Substitute h(x) by -1 in the function above to find the value of x
∴ -1 = -6x + 20
- Subtract 20 from both sides
∴ -1 - 20 = -6x + 20 - 20
∴ -21 = -6x
- Divide both sides by (-6)
∴
∴ 3.5 = x
The value of x when h(x) = -1 is 3.5
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From Desmos.com/calculator. It won't let me add the last one.
(7) The stadium would need to be filled 11 times. This is because the stadium holds <em>almost</em> 100,000 people, so 10 would not be enough. Of course, 10*100,000 is 1,000,000.
(8)It would take Stacy 6,000 minutes to count to 1,000,000 is she remained at the constant rate. You can find this by dividing 1,000,000 by 1,000 to see how many 1,000s it will take to get to 1,000,000. Then, you can multiply that by 6 since each 1,000 takes 6 minutes. This yields a result of 6,000 minutes.
(9) The manager has exactly enough money to buy 100 cars for a price of 10,000 each. You can find this answer by simply multiplying 100 and 10,000 and seeing that it is less than or equal to 1,000,000.
Let's do this using the process of elimination. Since you didn't include choice D, we can only use A, B, and C.
C: If we're finding the width of the patio, how is the thickness of the tiles going to help? C is wrong.
A: We already know the area (72), so how does knowing the perimeter help us? All we know using that information is that 2 pairs of numbers give us the perimeter & also multiply to get 72. But not <em>which</em> 2. A is wrong.
B: Pay more attention to the last part of B... "the length". Well, if we have the area (72), and we have the length, then we can do area/length-width to find the width. B is correct!
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The answer to this problem would be D The expression has a value that is 5 times as much as 2 plus 13.
The answer to 2+13x5 is 75!