Graph of function f of x equals negative x squared plus 8 multiplied by x minus 15Function 2

f(x) = −x2 + 2x − 3

Function ____ has the larger maximum.
(Put 1 or 2 in the blank space)

Numerical Answers Expected!

Answers

Answer 1

Answer: $y=- x^(2) +8x-15$
written in vertex form, we have,
$y=-(x-4)^(2) +1$ ,
i.e. vertex = (4, 1) and maximum value at y = 1.

$y=- x^(2) +2x-3$
written in vertex form, we have,
$y=-(x-1)^(2) -2$ ,
i.e. vertex = (1, -2) and maximum value at y = -2.

Therefore, $y=- x^(2) +8x-15$ has the larger maximum.

Answer 2

Answer:

Final answer:

To determine which function has the larger maximum, we find the vertex of each function's graph and compare the y-values. Function 1 has the larger maximum with a value of 9.25.

Explanation:

In order to determine which function has the larger maximum value, we need to find the vertex of each function's graph. The vertex of a quadratic function in the form f(x) = ax^2 + bx + c can be found using the formula x = -b / (2a). For the first function, f(x) = -x^2 + 8x - 15, a = -1, b = 8, and c = -15. Plugging these values into the formula, we get x = -8 / (2*-1) = 4.5. Substituting this value of x back into the function gives us f(4.5) = -4.5^2 + 8(4.5) - 15 = 9.25.

For the second function, f(x) = -x^2 + 2x - 3, a = -1, b = 2, and c = -3. Using the formula, we find x = -2 / (2*-1) = 1. Substituting this value back into the function gives us f(1) = -1^2 + 2(1) - 3 = -2.

Comparing the maximum values of the two functions, we see that f(x) = -x^2 + 8x - 15 (Function 1) has a larger maximum value of 9.25.

Learn more about Function maximum here:

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How long will jesse take to run a total of 50 miles if she run 0.13 per hour

Answers

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Answers

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Answers

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Answers

In partial quotients, we make good estimates of how many times the divisor $26$ goes in to the dividend, $986$ .

The number of steps it takes you to get to the remainder and quotient depends on how good your estimates are. For instance in the above diagram. You can see two different approaches of dividing 986 by 26 using partial quotients.

In the second approach in which there are fewer steps, We estimated that there are about 35 [26s] in 986. The 35 is our first partial quotient. We then multiply

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We again estimated that there are at least 2 [26s] in 76. The 2 is our second partial quotient.

We then multiply again,

$26*2=52$

Next, we subtract,

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Now there are no 26s in 24. Hence 24 is the remainder.

$<b>If we add all the partial quotients, we obtain the quotient which is 37</b>$

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Answers

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