we will use
this rule in order of operation
P: Parenthesis
E: Exponent
M: Multiplication
D: Division
A: Addition
S: Subtraction
we are given
30+2*10....
we can simplify it


now, we will check option and verify whether it is equal to 50
option-a:
3(2+3)
=3*5
=15
so, this is FALSE
option-b:
7(2+1)
=7*3
=21
so, this is FALSE
option-c:
6(3+7)
=6*10
=60
so, this is FALSE
option-d:
5(4+1)
=5*5
=25
so, this is FALSE
First, solve 10x + y = -20 for y: y = -20 - 10x
Next, substitute -20 -10x for y in the second equation:
-20 - 10x = 2x^2 - 4x - 16.
Rearranging, 2x^2 + 6x + 4 = 0
Simplifying, x^2 + 3x + 2 = 0
The roots of this poly eqn are -1 and -2. Therefore, x = -1 and x = -2.
One by one, subst. these x-values into y = -20 - 10x to find the corresponding y-values.
Your answers should look like this: (-1, y) and (-2, y) (different values for y).
Answer:
See below
Step-by-step explanation:
<h3>Continuation of the question</h3>
<u>Data in the table:</u>
<u>PH 4 5 6 7 8 9 10 11 </u>
<u>Bacteria 116 120 131 136 141 151 148 163</u>
- <em>Create a scatter plot to represent the data: Based on the data and your scatter plot, what do you think a good linear function would be to represent the data?</em>
<h3>Solution</h3>
<em>See attached for scatter plot</em>
We can see the chart is close to linear function. Let's build one based on data in the table
<u>The line will be in the form of:</u>
<u>If we use two points and get the equation</u>
<u>Finding the slope:</u>
- m = (141-116)/(8-4) = 25/4 = 6.25
<u>Then, finding y-intercept:</u>
- 116 = 6.25*4 + b
- b = 116 - 25 = 91
<u>So the line is:</u>
<em>Note: This is approximate best fit graph and it is attached as well. Exact formula for the line is built by using different method and is very close to the one above</em>
It is a 5% discount 400 x .05 = 20
400 - 20 = 380
Y= 3w-4.5
This is the answer.