Answer:
Step 1 : Equation at the end of step 1 : (2x - 1) • (x + 7) = 0 Step 2 : Theory - Roots of a product : 2.1 A product of several terms equals zero. When a product of two or more terms equals zero, then at least one of the terms must be zero. We shall now solve each term = 0 separately
Step-by-step explanation:
Part a)
a) The given function is

We let

Interchange x and y.

Solve for y;



Part b) The range of f(x) refers to y-values for which f(x) exists.
The range of f(x) is

This is because the function is within y=-3 and y=3.
c) The range of

is

The domain is -3≤x≤3
This is because the domain and range of a function and its inverse swaps.
Part d) The graph is shown in the attachment.
Answer:
C) About 243 hits
General Formulas and Concepts:
<u>Pre-Algebra
</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define
</u>
y = home runs
x = hits
[Best Line of Fit] y = 0.15x - 1.5
<em>We can use this to predict the average of the scatter plot.
</em>
home runs = y = 35
<u>Step 2: Solve for </u><em><u>x</u></em><u> hits</u>
-
Substitute [BLF]: 35 = 0.15x - 1.5
- Add 1.5 on both sides: 36.5 = 0.15x
- Divide 0.15 on both sides: 243.333 = x
- Rewrite: x = 243.333
Remember that this is a <em>prediction</em>. According to the best line of fit, we would need approximately ~243 to get 35 home runs.
1) The line will need to be vertical down the point of x, meaning draw a line down point x. Perpendicular lines look similar to t’s
2.) Same thing, just draw a line through point O and the line. They should look similar to t’s
Hope this helped!! I understand math can get really hard, soon it’ll all be over :)
Answer:
3hrs 12 mins
Step-by-step explanation:
For every 10% charge she gets 1hr 20mins (or 80 mins)
Charge drop = (81% - 57%) = 24%
Since 10% gives 80 mins;
24% gives (24/10) x 80 mins = 192 mins
since 1hr = 60 mins
192 mins = 192/60 = 3hrs 12 mins