2x² + 12x + 11 - (x - 4)²
2x² + 12x + 11 - 1(x - 4)²
2x² + 12x + 11 - 1(x - 4)(x - 4)
2x² + 12x + 11 - 1(x(x - 4) - 4(x - 4))
2x² + 12x + 11 - 1(x(x) - x(4) - 4(x) + 4(4))
2x² + 12x + 11 - 1(x² - 4x - 4x + 16)
2x² + 12x + 11 - 1(x² - 8x + 16)
2x² + 12x + 11 + 1(x²) + 1(8x) - 1(16)
2x² + 12x + 11 + x² + 8x - 16
2x² + x² + 12x + 8x + 11 - 16
3x² + 20x - 5
Answer:
x=1 and y=10 (1,10)
Step-by-step explanation:
2+30=32
10=1+9
Answer:
About 400 times
Step-by-step explanation:
Given

See attachment for spinner
Required
Determine the number of times an outcome of 1, 3 or 8 is expected
First, calculate the theoretical probability of 1, 3, or 8
This is calculated as:

The spinner is divided into 8 equal segments and each outcome appears once.
So, we have:

Take LCM and add


So, the expected number of times (E) is:




Approximate

<em>This means about 400 times</em>
Answer:
The second one, my order is different, but they are equivalent answers
Step-by-step explanation: 6 22 22 18
(√6 + √11) / (√5 +√3) multiple top and by (√5 - √3) note the minus
(√6 + √11) × (√5 - √3) / (√5 +√3) x (√5 - √3)
(√30 + √55 - √18 - √33) / (5 - 3)
(√30 + √55 - 3√2 - √33) / 2
Answer:
$2,239.66
Step-by-step explanation:
To find the amount of reimbursement, convert miles to km by multiplying 1564 by 1.609 since 1 mile = 1.609 km.
He drive 1564(1.609)=2,516.476 km.
Multiply this distance by $0.89 per km.
2516.476(0.89)=$2,239.66