<h3>
Answer: 3^5</h3>
Explanation:
The rule used is 
That rule says to go from a negative exponent to a positive exponent, we apply the reciprocal of the fraction.
So,
Answer:
Step-by-step explanation:
For Question 3, we are simply taking an input for the function, as a value of x and solving the equation. For part a, we substitute 3/14 into the first function, and solve it:
f(x) = 7(3/14) + 2
f(x) = 21/14 + 2
f(x) = 49/14
f(x) = 7/2
For part b, we take the input of -3 into the second function and solve the equation:
h(x) = 4(-3)^2
h(x) = 4(9)
h(x) = 36
For Question 4, we are simply solving this equation by isolating the x variable. First, we simplify the equation to 4-5x+15+2x = -2 and simplify this again to -3x+19 = -2. Now, we can subtract 19 from both sides of the equation to get -3x = -21. Lastly, we isolate the x variable by dividing both sides of this equation by -3, to get x = 7.
Answer:
c
Step-by-step explanation:
25 x 5 = 125
125 x 5 = 625
625 x 4 = 2500
So, 25 x 5 x 5 x 4 is 2,500
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Answer:
14.4 miles
Step-by-step explanation:
Given that :
Distance moved North = 12 miles
Distance moved West = 8 miles
Shortest distance to reach starting point :
Let shortest distance to reach starting point = d miles
Using the relation :
Longest side of a right angled triangle:
d = sqrt(8^2 + 12^2)
d = sqrt(64 + 144)
d = sqrt(208)
d = 14.422205
d = 14.4 miles (nearest tenth of a mile)
