Answer:
The answer in interval notation is ( 73 , 100 )
Step-by-step explanation:
If we call x and y the lower and upper values for David to get an average of 80 and 89 respectively, we can calculate these two values solving a pair of equations:
(81 + 92 + 74 + x ) / 4 = 80 ⇒ (247 + x )/4 = 80
247 + x = 320 ⇒ x = 320 - 247
x = 73
And
(81 + 92 + 74 + y ) / 4 = 89 ⇒ ( 247 + y ) / 4 = 89
247 + y = 356
y = 356 - 247
y = 109
But tests are a 100-point test
Then the answer in interval notation is ( 73 , 100 )
Answer:
Here's what we know:
A = Lw (Area is length times width)
L = 2w + 6 (length is twice the width plus 6)
A = 140 (Area is 140 m2)
Plug in the variable values:
140 = w(2w + 6)
Distribute:
140 = 2w2 + 6w
Subtract 140:
2w2 + 6w - 140 = 0
Factor out a 2:
2(w2 + 3w - 70) = 0
Divide both sides by 2:
w2 + 3w - 70 = 0
(w + m)(w - n)
When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:
(w + 10)(w - 7) = 0
w = -10, 7
We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.
L = 2 * 7 + 6
L = 14 + 6
L = 20
Check:
140 = 20 * 7
140 = 140
Answer:
A, B, C
Step-by-step explanation:
Look at how many field goals were actually made and order them from least to greatest- 12, 15, 19. They are already listed from least to greatest in the table.
2 and 12 both correspond with angle 5
