<h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
Q1. Flip counts numbers that are in the sequence ...
777 - 8n . . . . . for some positive integer n
This expression can be factored as ...
8(97 -n) +1
which is to say that the numbers in Flip's sequence are 1 more than a multiple of 8. The number among the answer choices that matches that description is ...
129 = 16·8 +1 . . . . . corresponding to 97-n = 16, or n = 81
Flip counted the number 129.
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Q2. Let a and p represent the costs of an apple and a pear, respectively. Then we have ...
Substituting the expression for "a" in the second equation into the first equation, we get
5(p +0.15) = 6p
5p + 0.75 = 6p
0.75 = p
Then 12p = 12·$0.75 = $9.00 is the cost of 6 pears and 5 apples (since 5 apples cost the same as 6 pears).
The cost of interest is $9.00.
Answer:
x > 2/3
Step-by-step explanation:
-4(3x - 5) < 2(3x + 4)
Divide both sides by 2.
-2(3x - 5) < 3x + 4
Distribute on the left side.
-6x + 10 < 3x + 4
Subtract 3x from both sides.
-9x + 10 < 4
Subtract 10 from both sides.
-9x < - 6
Divide both sides by -9. Remember that when you divide both sides of an inequality by a negative number, the inequality sign changes direction.
x > (-6)/(-9)
x > 6/9
x > 2/3
Answer:
D) Negative, because the product (8)(−23) is negative and the product (−21)( −29) is positive, and the product of a negative number and a positive number is a negative number
Step-by-step explanation:
The answer:
by definition, an exponential function with base c is defined by <span>h (x) = ac^x</span><span>
where a ≠0, c > 0 , b ≠1, and x is any real number.</span>
The base, c, is a constant and the exponent, x<span>, is a variable.
</span>so if we have f(x)=3(3\8)^2x, this equivalent to f(x)=3(3\8)^y(x),
where y (x)=2x, <span>
therefore, the base is 3/8, and the variable is the function </span>y (x)=2x,
His daughter's height could be 31 inches<span />