First, let's find the x and y intercepts
In the first equation
y - 4x = -1
Put x =0
y= - 1
(0, -1)
Put y=0 and the n solve for x
0 - 4x = -1
-4x = -1
x=0.25
(0.25 , 0)
The points for the first equation is (0, -1 ) and (0.25, 0)
Next is to find the intercts for the second equation
y + x = 4
put x=0
y = 4
(0, 4)
Put y =0
0 + x = 4
x = 4
( 4, 0)
The points for the second equation are;
(0, 4) and (4, 0)
Below is the graph
Answer:
5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
0.3y + y/z
<em>y</em> = 10
<em>z</em> = 5
<u>Step 2: Evaluate</u>
- Substitute in variables: 0.3(10) + 10/5
- Multiply: 3 + 10/5
- Divide: 3 + 2
- Add: 5
Answer:
c) H0 : p = 5.8%
H1 : p > 5.8%
Step-by-step explanation:
At the null hypothesis, we test that the percentage is equal to a certain value. At the alternate hypothesis, we have a test about this percentage, if it is more, less, or different from the tested value.
A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness
At the null hypothesis, we test if the percentage is 5.8%

At the alternate hypothesis, we test if this percentage is more than 5.8%. So

This means that the correct answer is given by option c.
Given equation is
.
Now we need to find about what are the key aspects of the graph of
, where b is a real number.
We know that square of any number is always positive.
then
must be a positive number.
So that means for any real number b, as the value of b increases then graph of f(x) shifts downward by
units as compared to the graph of parent function 