The value a is 7.
<h3>What is Straight Line?</h3>
A line is simply an object in geometry that is characterized under zero width object that extends on both sides. A straight line is just a line with no curves.
Here, the given equation of line
y = ax -3
line passing through point (2, 11), then
11 = a X 2 - 3
11 + 3 = 2a
2a = 14
a = 7
Thus, the value a is 7.
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Answer:
8p + 2s <= 150
Step-by-step explanation:
Let p = number of a pizza.
Let s = price of a bottle of soda.
The inequality is
8p + 2s <= 150
We have been given an equation
. We are asked to fill in the blanks using our given equation.
The axis of symmetry will be the vertical line passing through vertex.
First of all, we will convert our given equation in standard vertex form of parabola as:
Standard vertex form of parabola:
, where (h,k) is vertex of parabola.

Upon comparing our function with standard vertex form, we can see that vertex of parabola is at
.
The axis of symmetry will be vertical line passing through point
. The vertical line will pass through
, therefore, the axis of symmetry is
.
Since our given parabola is an upward opening parabola, so it has a minimum at
. This means that parabola will intersect the x-axis at two points. Therefore, there are two real solutions for the given function.
Answer: No, New York students are not truly more nerdy than the California students.
Step-by-step explanation:
Since we have given that
Number of students in a group = 50
Mean score of New York psychology = 530
Mean score of California psychology = 515
Standard deviation = 80
So, we will find t-distribution first.

Let α = 5% = 0.05
So, 
Since t < t(critical value)
No, New York students are not truly more nerdy than the California students.
Answer:
∠Q = 75°
Step-by-step explanation:
Start by recognizing that the triangle is isosceles (the long sides are marked as being equal-length). That means angles Q and R have the same measure.
Next, you use the fact that the sum of angles is 180° to write an equation.
∠R +∠P +∠Q = 180°
(2x +15)° +x° +(2x +15)° = 180° . . . . substitute the known values
5x +30 = 180 . . . . . . . . . . . . . . . . divide by °, collect terms
5x = 150 . . . . . . . . subtract 30
x = 30 . . . . . . . divide by 5
Then angle Q is ...
∠Q = (2x +15)° = (2×30 +15)°
∠Q = 75°