There is an app that will help for these types of questions called, "Showmath."
Answer:
18.6 months
Step-by-step explanation:
Given that :
Best fit line from scatterplot :
y=-12.05x +224.26
x = Number of month
y = charge on battery
Number of months a typical battery uses before being dead completely :
When battery is dead completely ; charge =0, y = 0
y = -12.05x + 224.26
0 = - 12.05x + 224.26
12.05x = 224.26
x = 224.26 / 12.05
x = 18.610788
Hence, 18.6 months before battery is completely dead.
Answer:
f(g(x)) = 4x² + 16x + 13
Step-by-step explanation:
Given the composition of functions f(g(x)), for which f(x) = 4x + 5, and g(x) = x² + 4x + 2.
<h3><u>Definitions:</u></h3>
- The <u>polynomial in standard form</u> has terms that are arranged by <em>descending</em> order of degree.
- In the <u>composition of function</u><em> f </em>with function <em>g</em><em>, </em>which is alternatively expressed as <em>f </em>° <em>g,</em> is defined as (<em>f </em> ° <em>g</em>)(x) = f(g(x)).
In evaluating composition of functions, the first step is to evaluate the inner function, g(x). Then, we must use the derived value from g(x) as an input into f(x).
<h3><u>Solution:</u></h3>
Since we are not provided with any input values to evaluate the given composition of functions, we can express the given functions as follows:
f(x) = 4x + 5
g(x) = x² + 4x + 2
f(g(x)) = 4(x² + 4x + 2) + 5
Next, distribute 4 into the parenthesis:
f(g(x)) = 4x² + 16x + 8 + 5
Combine constants:
f(g(x)) = 4x² + 16x + 13
Therefore, f(g(x)) as a polynomial in <em>x</em> that is written in standard form is: 4x² + 16x + 13.
Answer:
1. The benefits to using a online filter app are
-Smoothing water movement in waterfalls, rivers, oceans, etc.
-Achieving a shallower depth of field in very bright light
-Reducing diffraction (which reduces sharpness) by enabling a larger -aperture
-Making moving objects less apparent or not visible (such as people or cars)
-Introducing blur to convey motion with moving subjects
2. Adobe Photoshop Express. This app provides an amazing amount of features that other apps just don't come close to the other apps I have researched. I've even done some testing on my phone and it appears to be user friendly which basically means even my grandma can use this without having a difficult time.
3. I would choose the apps filters because it has more options to choose from. The only time I would use the accessory filters would be if i'm going to something quick and simple. Since i'm more of a perfectionist I love to use the apps filters.
Answer:
I believe it is C.
Step-by-step explanation:
If they need a total of 2,990 muffins, then they need about 2,000 more. The supervisor's calculation is really not reasonable at all since the don't even need 4,005 muffins total.
Hope this helps!! ;)
