Answer:
x = −
4 ± √
10,
Step-by-step explanation:
2(x + 4)² = 20
=> 2(x + 4) (x + 4) = 20
=> 2x + 8 (x + 4) = 20
=> 2x² + 8x + 8x + 32 = 20
=> 2x² + 16x + 32 = 20
=> 2x² + 16x + 12 = 0
=> Now solve using the quadratic formula:
x = −
4 ± √
10,
Radical form: −
4 ± √
10,
Decimal form: -0.84, -7.16
Hope this helps!
Answer:
Step-by-step explanation:
65.00 - 31.25 - 16.50 = $17.25
Answer:
21 weeks
Step-by-step explanation:
In this question, we are to use proportionality to find the solution to the question.
We were made to know that the time taken to build the highway is varied directly with the length and inversely with the number of workers.
Let us make a mathematical representation for this.
Let the time be t, number of workers be w and length be l
t is directly proportional to l and inversely proportional to w
Mathematically;
t = kl/w
Where k is the constant of proportionality.
Let’s find the value of k
150 workers built 12 miles of highway in 14 weeks ; plug these in the equation to get k
14 = k * 12/150
k = 150 * 14/12 = 175
Now we want to get t given w and l
from ;
t = kl/w
We can get t; where l = 15 and w = 125
t = 175 * 15/125
t = 21 weeks
Answer:
(8,-4)
Step-by-step explanation:
The difference between A and M is 2.5x and -4y
so B would be 5.5+2.5 and 0-4
(8,-4)
Answer:
D- The blackcaps will begin nesting at their wintering sites in Spain or the United Kingdom, resulting in a larger blackcap population migrating back to Germany after the breeding season has ended.
Step-by-step explanation:
By the inhabitants of Spain and the United Kingdom placing feeders out for the blackcaps, the birds in their nesting sites during the winter will have food to eat, meaning a bigger population of the Blackcaps when they return to their main home in Germany.
This best predicts the effect on the blackcap population if humans in the United Kingdom continue to place food in feeders during the winter.
