Answer:
3,200,000
Step-by-step explanation:
3,153,007 rounds up to 3,200,00 because the number in the ten thousandths place is above 5.
The value of the function h(x + 1) is -x^2 - x + 1
<h3>How to evaluate the function?</h3>
The equation of the function is given as:
h(t) =-t^2 + t + 1
The function is given as:
h(x + 1)
This means that t = x + 1
So, we substitute t = x + 1 in the equation h(t) =-t^2 + t + 1
h(x + 1) =-(x + 1)^2 + (x + 1) + 1
Evaluate the exponent
h(x + 1) =-(x^2 + 2x + 1) + x + 1 + 1
Expand the brackets
h(x + 1) = -x^2 - 2x - 1 + x + 1 + 1
Evaluate the like terms
h(x + 1) = -x^2 - x + 1
Hence, the value of the function h(x + 1) is -x^2 - x + 1
Read more about functions at:
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<u>Complete question</u>
Consider the following function definition, and calculate the value of the function
h(t) = −t2 + t + 1 h(x + 1)
No map given but it shouldn't matter.
E is the 5th letter, L the 12th.
Start at S(6,12). End at E(10,5)
The vector between them, E-S=(4,-7)
Each unit is 1/16 of a mile, though that probably doesn't matter that much.
Doug has to stay on the grid, so has to run |4|+|7|=11 units. At 30 mi/hr that takes (11/16)/30 = 0.022916 hours.
Bert can go diagonally, so flies √(4²+7²)=√65 ≈ 8.06 units. At 20 mi/hr that takes (8.06/16)/20 = 0.025194 hours.
Answer: Doug wins
Why? Because it's quicker to cover 4+7 at 30 mph than it is to cover √(4²+7²) at 20 mph. That is, Doug is 1.5 times faster and the 1.5 times the diagonal distance is more than the grid distance.
Answer: Choice D) 7x+2; all real numbers
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Work Shown:
f(x) + g(x) = [ f(x) ] + [ g(x) ]
f(x) + g(x) = [ 4x-5 ] + [ 3x+7 ]
f(x) + g(x) = 4x-5 + 3x+7
f(x) + g(x) = (4x+3x) + (-5+7)
f(x) + g(x) = 7x+2
The domain of y = 7x+2 is the set of all real numbers. There are no restrictions to worry about such as dividing by zero or taking the square root of a negative number. We can plug in any real number we want for x to get some output for y. This is one of the many properties of linear equations.
Answer:
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