Answer:
61°
Step-by-step explanation:
, QO Bisector
, Algebra
, Algebra/Sub
Answer:
Part A) x = -3
Part B) x = 1, x = -7
Part C) x < -7
Part D) 2
Step-by-step explanation:
<h3>Part A)</h3>
2(x - 3) = 3x - 3
<em>open the parenthesis</em>
2 * x - 2 * 3 = 3x - 3
2x - 6 = 3x - 3
<em>subtract 2x from both sides</em>
2x - 2x - 6 = 3x - 2x - 3
-6 = x - 3
<em>add 3 to both sides</em>
-6 + 3 = x
-3 = x
<h3>
Part B)</h3>
|2x + 6| = 8
<em>split this into two equations:</em>
<em>2x + 6 = 8</em>
<em>&</em>
<em>2x + 6 = -8</em>
2x + 6 = 8
2x = 8-6
2x = 2
x = 1
2x + 6 = -8
2x = -8 - 6
2x = -14
x = -7
<h3>Part C)</h3>
-5(x + 1) > 30
<em>open the parenthesis</em>
-5x - 5 > 30
<em>add 5 to both sides</em>
-5x > 35
<em>divide both sides by -5</em>
x > -7
<em>since you divided by a negative, flip the sign.</em>
x < -7
<h3>
Part D)</h3>
f(x) = 4x - 3
<em>substitute x for 5</em>
5 = 4x - 3
5 + 3 = 4x
8 = 4x
2 = x
Answer:
The mean score for all students on the quiz was 86.
Step-by-step explanation:
This question is solved by a weighed average.
To find the weighed average, we add the values multiplied by their weight, and after that we divide by the sum of weights.
In this problem, we have that:
Mr. Spears had 20 students in his class with a mean score of 80.
So 80 has a weight of 20.
Mrs. Guyton's class of 30 students had a mean score of 90.
So 90 has a weight of 30.
Overall, what was the mean score for all students on the quiz

The mean score for all students on the quiz was 86.
By using an online graphing calculator, the overall equation represented by this scenario is plotted in the image attached below.
<h3>How to determine the graph?</h3>
Based on the information provided about this company with respect to its delivery and total number of miles to be covered, we would assign variables as follows:
- Let y represent same-day delivery.
- Let x be the total number of miles.
Next, we would translate the word problem into an algebraic equation by using an inequality:
y > x/2 - 3
Also, we would determine the intercepts as follows:
When x = 0, we have;
y = 0/2 - 3
y = -3.
y-intercept = (0, -3).
For the x-intercept, we have:
When y = 0, we have;
0 = x/2 - 3
x/2 = 3
x = 6.
x-intercept = (6, 0).
By using an online graphing calculator, the overall equation represented by this scenario is plotted in the image attached below.
Read more on inequalities here: brainly.com/question/18898454
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