Answer:
Step-by-step explanation:
Given
- f(x) = 2x
- g(x) = x² - 1
- (f - g)(x) = ?
Solution
- (f - g)(x) = 2x - (x² - 1) = 2x - x² + 1 = -x² + 2x +1
- (f - g)(x) = -x² + 2x +1
Answer: 15° and 70°
Step-by-step explanation:
The sum of angles of a triangle is 180.
One of the angle is given to be 95°, this means that the sum of the remaining two angles will be ;
180 - 95 = 85°
The ratio of the two sides is given to be 3 : 14
Calculating the angles of each ,the angle with the ratio 3 will be
3/17 x 85 = 15°
The angle with the ratio 14 will be
14/17 x 85 = 70°
Therefore : the measures of the two angles are : 15° and 70°
They can ride their bike 12 miles because in 6 minutes they ride 0.8 miles so in 1.5 hours they ride 12 miles. 0.8 * 10 = 8 miles 1 hour so 0.8 * 5 = 4 miles 0.5 hours 8 miles + 4 miles =12 miles 1 hour + 0.5 hours = 1.5 hours
389 children and 224 adults were at the pool that day.
Step-by-step explanation:
Cost of one child ticket = $1.75
Cost of one adult ticket = $2.25
Total people = 613
Total receipts worth = $1184.75
Let,
Number of children = x
Number of adults = y
According to given statement;
x+y=613 Eqn 1
1.75x+2.25y=1184.75 Eqn 2
Multiplying Eqn 1 by 1.75

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 0.50

Putting y=224 in Eqn 1

389 children and 224 adults were at the pool that day.
Keywords: linear equation, subtraction
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