To expand the given expression we proceed as follows:
(6x²-2x-6)(8x²+7x+8)
=6x²(8x²+7x+8)-2x(8x²+7x+8)-6(8x²+7x+8)
=48x⁴+42x³+48x²-16x³-14x²-16x-48x²-42x-48
putting like terms together:
48x⁴+(42x³-16x³)+(48x²-48x²)+(-16x-42x)-48
=48x⁴+26x³+0x²-58x-48
hence the answer is:
48x⁴+26x³-58x-48
Remember:
a^m * a^n=a^(m+n)
a^-m=1/a^m
8³ x 8⁻⁵=8³⁻⁵=8⁻²=1/8²=1/64<1
Answer: the student is not correct, because 1/64<1, and 8³ x 8⁻⁵=1/64.
Answer
Attached the graph
Step by step explanation
Y = -1/4z + 5
Let's form the table values
Here z is the independent variable and y is the dependent values.
Let's take z = -1, 0, 1, 2 and find the corresponding y-values
<u>z y</u>
-1 5.25
0 5
1 4.75
2 4.5
Now let's plot the points and draw the graph.
Here is the graph.
Bill = $25.85
Tips = 15% x $25.85 = $3.88
Tax = 6.25% x $25.85 = $1.62
Total amount = $25.85 + $3.88 + $1.62 = $31.35
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Answer: He will spend $31.35 in total.
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Answer:
5 lines
Step-by-step explanation:
5 times 5 is 25 so 25 divided by 5 is 5 therefor your answer is 5
