Answer:

Step-by-step explanation:
To factor this, you must first take out the GCF (Greatest Common Factor), that
and -147 both have. The terms only have 3 in common, which can be divided with

However, we're still not done since 49 is a perfect square and
can be split into 2, like so:

If you're unsure about the final answer, you can multiply it all together to see if you got the original expression.
9514 1404 393
Answer:
- 7.5 ft
- 32.5 ft, 5 ft
- 10.7 ft
Step-by-step explanation:
a) The starting height is h(0) = 7.5 feet, the constant in the quadratic function.
The irrigation system is positioned <u> 7.5 </u> feet above the ground
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b) The axis of symmetry for quadratic ax^2 +bx +c is x = -b/(2a). For this quadratic, that is x=-10/(2(-1)) = 5. This is the horizontal distance to the point of maximum height. The maximum height is ...
h(5) = (-5 +10)(5) +7.5 = 32.5 . . . feet
The spray reaches a maximum height of <u> 32.5 </u> feet at a horizontal distance of <u> 5 </u> feet from the sprinkler head.
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c) The maximum distance will be √32.5 + 5 ≈ 10.7 ft.
The spray reaches the ground at about <u> 10.7 </u> feet away.
Answer: 9/14
Explanation. First, you have to find the least common denominator. The least common denominator is the lowest number you can use on the denominator to create a set of equivalent fractions
7 and 2 can both go into 14
Whatever number you use to multiply to equal 14, you do the same to the top.
It would look like this.
2/14 + 7/14
Then you add.
2/14 + 7/14= 9/14
You can’t simplify this fraction so this is your answer. Hope this helped!
The answer for this is $43.9425
Answer:
x = 20
Step-by-step explanation:
46 x + 322 = 1242
46x = 920
x = 20