Answer:
5 and 7.
Step-by-step explanation:
Hey! So to start you need to create an algebraic expression. You can express this problem through the following equation:
*Note: if x is an odd integer, x + 2 is the next consecutive odd integer.
Expanding, you get:
And moving the 35 to the other side, you get a simple quadratic.
Solving by factoring:
This means two possible solutions for the smaller consecutive number are -7 and 5. However the question asks for two positive odd integers, so one of the numbers must be 5. The next will be 7(as its x + 2).
Answer:
what do you mean?
Step-by-step explanation:
Answer:
The average rate of change between x = 2 and x = 4 is of 4.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function f(x) in an interval [a,b] is given by:
In this question:
Thus:
Average rate of change:
The average rate of change between x = 2 and x = 4 is of 4.
Answer:the orginal price of the tennis racket is $47
Step-by-step explanation:
Let x represent the original price of the tennis racket at the sports store.
Leah has a 20% off coupon for the sports store. The tennis racket is available at a discount of 10%.
The store applies the coupon after the 10% is taken. The value of the discount on the original price of the tennis racket would be
10/100 × x = 0.1 × x = $0.1x
The discounted price of the racket would be
x - 0.1x = 0.9x
The value of the coupon would be
20/100 × 0.9x = 0.2 × 0.9x = 0.18x
The selling price after the coupon was applied would be
0.9x - 0.18x = 0.72x
She buys the racket for $34. This means that
0.72x = 34
x = 34/0.72 = $47
