Answer:
Step-by-step explanation:
Let the cost of apples be x
<u>Then we have equation:</u>
- (9 - 1.5)x = 15
- 7.5x = 15
- x = 15/7.5
- x = 2
<u>Cost of apple:</u> $2 per pound
The least common factor of x and x squared is x
Option B:
f(3) = 5
Solution:
Given function:
- If x value is less than –2, that is –3, –4, –5, –6, ... then f(x) = –x².
- If x value is greater than or equal to –2 and less than 0, that is –2 and –1 then f(x) = 3.
- If x value is greater than or equal to 0, that is 0, 1, 2, 3,... then f(x) = x +2.
<u>To find the value of f(3):</u>
Here x value is 3 which is greater than 0 (3 > 0).
Therefore, f(x) = x + 2.
Substitute x = 3 in the above function.
f(3) = 3 + 2
f(3) = 5
Hence option B is the correct answer.
The Z-score (z) is calculated according to the formula: z = (x - μ) / σ
Where: x is the raw score value, μ is the mean of the population, σ is the standard deviation of the population.
x = 80, μ = 5, σ = 4
z = (80 - 5) / 4
z = 75 / 4 = 18.7500
Z-score is 18.7500
The measurement of angle A = 52 ° .
In question we need to find angle A ,
To find angle A using Law of Sines :
Law of Sine : ( a / sin A ) = ( b / sin B ) = ( c / sin C ) where a , b and c are the sides opposite to angle A , B and C resp. of a triangle .
Applying Law of Sines ,
25 / sin A = 28 / sin 62
sin A = ( 25 * sin 62 ) / 28
sin A = 0.7883
Therefore , angle A = 52 ° .
Hence , the measurement of angle A = 52 ° .
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