Answer:
92
Step-by-step explanation:
Lab Scores are 84, 81, and 93
Test Scores are 89 and 94
Each lab counts once and each test counts as two labs. At the end of the semester there is a final lab that counts as three regular labs.
Total Number of Labs= (3X1)+(2X2)+(1X3) =3+4+3 =10
To recieve an A(90), the average of her scores must be 90.
Let her final lab score =b
Refer to the attached diagram
Total Score=624+3b
For her average =90
Cross multiplying
624+3b =90 X 10
624+3b =900
3b =900-624
3b =276
Dividing both sides by 3
b= 92
She must score 92 in her final lab to receive an A.
Answer: 3. (3,-3) and 4. (-3,4)
Step-by-step explanation: Number 4 is self explanatory of what they are and number 3, you need to figure out what minus 6 equals -3 and that happens to be 3.
Answer:
k=20.
Explanation: First we find where f(x) has its local extrema: f'(x)=3x2−10x+3. The critical points are roots of the equation: 3x2−10x+3=0.
Answer:
Step-by-step explanation:
I assume that the three points given are the vertices of the triangle. So the three points are:
A (-4,1)
B (-7,5)
C (0,1)
The area of a triangle is given by:
where b is the base and h is the height.
Here we can take as follows:
- We can take the base to be the side AC, so that its length is equal to the distance between the two points:
- The height of the triangle is therefore the perpendicular distance between AC and point B. This is equivalent the difference in the x-coordinate between any point on AC and B, so:
Therefore, the area of the triangle is:
Answer: -3
Step-by-step explanation: