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kati45 [8]
2 years ago
11

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​
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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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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]
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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:

8 0
2 years ago
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