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2 years ago

Determine the input that produces the largest or smallest output s = −16t^2 + 196t + 80

Mathematics

1 answer:

Oliga [24]2 years ago

5 0

6 gives largest output and 12.7 or -.4 gives the smallest

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8 ^ x * 16 ^ x - 1 equals 1

Lana71 [14]

Answer:

${8}^{x} \times {16}^{x } - 1 = 1 \\ {2}^{3x} \times {2}^{4x} = 1 + 1 \\ {2}^{7x} = {2}^{1} \\ 7x = 1 \\ x = \frac{1}{7}$

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3 years ago

A quadratic parent function is translated 3 units to the left and 4 units up

tatuchka [14]

The answer would be (x+3)^2+4

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2 years ago

An element with mass 970 grams decays by 27.7% per minute. How much of the element is remaining after 13 minutes, to the nearest

Mnenie [13.5K]

Basically, 27.7% of 970 is 268.69 grams, if 13 minutes so i’m pretty sure it’s 268.69 X 13 = 3492.97, it cannot be deduced from 970 unless it became −2522.97, is that the answer ur looking for?

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2 years ago

Find the Y-coordinate of point P that lies 1/3 along segment RS, where R (-7, -2) and S (2, 4).

QveST [7]

Solution:

Given that the point P lies 1/3 along the segment RS as shown below:

To find the y coordinate of the point P, since the point P lies on 1/3 along the segment RS, we have

$\begin{gathered} RP:PS \\ \Rightarrow\frac{1}{3}:\frac{2}{3} \\ thus,\text{ we have} \\ 1:2 \end{gathered}$

Using the section formula expressed as

$[\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}]$

In this case,

$\begin{gathered} m=1 \\ n=2 \end{gathered}$

where

$\begin{gathered} x_1=-7 \\ y_1=-2 \\ x_2=2 \\ y_2=4 \end{gathered}$

Thus, by substitution, we have

$\begin{gathered} [\frac{1(2)+2(-7)}{1+2},\frac{1(4)+2(-2)}{1+2}] \\ \Rightarrow[\frac{2-14}{3},\frac{4-4}{3}] \\ =[-4,\text{ 0\rbrack} \end{gathered}$

Hence, the y-coordinate of the point P is

$0$

8 0

1 year ago

Which graph represents the function h(x)=IxI+0.5

Oliga [24]

Answer:

It should look like a v with the origin at +0.5

Step-by-step explanation:

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2 years ago