Answer:
Top graph
Step-by-step explanation:
x=3 is a vertical line where the value of x is always 3
Answer:
The new mean for the exam scores is 51
Step-by-step explanation:
the mean can be calculated using the formula
mean of scores = 
before the 20 points was added, the mean of the score was = 50.
Inserting this into the formula, we have:
50 = 
from this, we can compute the sum total of the scores as
sum total = 50 × 20 = 1000
when the extra 20 marks is added, the sum of the entire scores will be changed to 1000 + 20 = 1020.
Hence the new mean will be computed as (New Sum total of scores / Number of students)
=
= 51.
∴ The new mean of the scores is = 51
Answer:
462962.96 naira
Step-by-step explanation:
This problem is complicated by the use of two different units. I chose to use inches for the dimensions of the carpet.
200 in long
50 ft wide = 50 x 12 = 600 in.
Area = 200 x 600 = 120000 in^2
A square yard is a square 36 in. x 36 in. = 1296 in^2
Divide 120000 by 1296 to find out how many square yards of carpet you'll need.
120000 / 1296 = 92.59
Multiply by 5000 naira/yd^2 = 462962.96
Answer:
- <em>To solve these first swap x and y, solve for y and name it inverse function</em>
3. <u>y = -8x + 2</u>
- x = -8y + 2
- 8y = -x + 2
- y = -x/8 + 2/8
- y = -(18)x + 1/4
f⁻¹(x) = -(18)x + 1/4
-----------------------------------------
4.<u> y = (2/3)x - 5</u>
- x = (2/3)y - 5
- (2/3)y = x + 5
- y = (3/2)x + (3/2)5
- y = 1.5x + 7.5
f⁻¹(x) = 1.5x + 7.5
-----------------------------------------
5. <u>f(x) = 2x² - 6</u>
- x = 2y² - 6
- 2y² = x + 6
- y² = 1/2x + 3
- y =

f⁻¹(x) = 
-----------------------------------------
6. <u>y = (x - 3)²</u>
- x = (y - 3)²
= y - 3- y = 3 +

f⁻¹(x) = 3 + 
Answer:
78
Step-by-step explanation:
(-5)•(-5) + 3•21= 25+ 63= 78