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4 years ago

which value correctly represents the number that is 10 times as great as five hundred eighty-one thousandths?

Mathematics

2 answers:

valentinak56 [21]4 years ago

7 0

$a= 581.000*10 \\ \\ \boxed{a=5.810.000}$

Ede4ka [16]4 years ago

3 0

5,810,000 is the answer

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Read 2 more answers

You are watering a garden. The height h (in feet) of water spraying from the garden hose can be modeled by h(x)=−0.1x2+0.7x+3, w

swat32

Answer:

$g(x) = -0.1x^2 + 0.5x + 3.6$

Step-by-step explanation:

Given

$h(x) = -0.1x^2 + 0.7x + 3$

Required

Determine the new function

From the question, we understand that the new function wants the water to hit the ground 1 ft farther.

1 ft farther implies x + 1

So, in the given function, we substitute x + 1 for x in $h(x) = -0.1x^2 + 0.7x + 3$

This gives:

$h(x + 1) = -0.1(x + 1)^2 + 0.7(x + 1) + 3$

Expand Bracket

$h(x + 1) = -0.1(x + 1)(x + 1) + 0.7(x + 1) + 3$

$h(x + 1) = -0.1(x^2+2x+1) + 0.7(x + 1) + 3$

$h(x + 1) = -0.1x^2-0.2x-0.1 + 0.7x + 0.7 + 3$

Collect Like Terms

$h(x + 1) = -0.1x^2-0.2x + 0.7x + 0.7 + 3-0.1$

$h(x + 1) = -0.1x^2 + 0.5x + 3.6$

Hence, the new function is:

$g(x) = h(x + 1) = -0.1x^2 + 0.5x + 3.6$

$g(x) = -0.1x^2 + 0.5x + 3.6$

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3 years ago