He needs 84 ft.
Step by step explanation:
(24*2)+(18*2)
48+36
84
The truck can cover 145 miles in 2.5 hours, so the speed of the truck is
145÷2.5=58 miles per hour
the car's speed is 1.5 times faster: 58×1.5=87 miles per hour
suppose in x hours they will meet:
distance covered by truck in x hour: 58x
distance covered by car in x hour: 87x
total distance: 145 miles
58x+87x=145
x=1
Answer:
True
Step-by-step explanation:
Multiplying a number by 3 will produce the same value as adding 6 to that number can be expressed algebraically as:
3x = x + 6
In order to determine whether the given statement is true, we can solve for x:
Start by subtracting x from both sides:
3x - x = x - x + 6
2x = 6
Divide both sides by 2:
2x/2 = 6/2
x = 3
Substitute the value of x into the original equality statement:
3x = x + 6
3(3) = 3 + 6
9 = 9 (True statement).
Therefore, it is true that when we multiply a number by 3, we get the same value as if we added 6 to that number.
(f - g)(x) = - x² + 4x + 6
Step-by-step explanation:
If f(x) and g(x) are two functions, then
- (f + g)(x) = f(x) + g(x)
- (f - g)(x) = f(x) - g(x)
- (f . g)(x) = f(x) . g(x)
- (f/g)(x) = f(x)/g(x), where g(x) ≠ 0
Now lets solve the question
∵ f(x) = 4x + 1
∵ g(x) = x² - 5
- To find (f - g)(x) subtract g(x) from f(x)
∵ (f - g)(x) = f(x) - g(x)
∴ (f - g)(x) = (4x + 1) - (x² - 5)
- Multiply the bracket (x² - 5) by (-) and remember (-)(-) = (+)
∴ (f - g)(x) = 4x + 1 - x² + 5
- Add the like terms in the right hand side
∴ (f - g)(x) = 4x + (1 + 5) - x²
∴ (f - g)(x) = 4x + 6 - x²
- Arrange the terms from the greatest power of x
∴ (f - g)(x) = - x² + 4x + 6
(f - g)(x) = - x² + 4x + 6
Learn more:
You can learn more about the functions in brainly.com/question/9801816
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