Answer:
k = 2
Step-by-step explanation:
Use a graphing calculator
Answer:
-33 or 33
Step-by-step explanation:
The seventh term of an AP is written as:

The eleventh term of an AP is written as:

If the 7th term is 11 times the 11th term, then;

Expand to get:





We must have a=-52 and d=5
Or
a=52 and d=-5
For the first case, the 18th term is :

For the second case,

Answer:
he has to make 12 shots
Step-by-step explanation:
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4. So we are talking about 15 miles a day for 5 days each week. 15 * 5 is 75. That's 75 miles in one week. He continues doing this for 8 weeks. Now, all we have to do is multiply 75 by 8 to get the total amount of miles. 75 * 8 is 600. There. Noah bikes 600 miles in 8 weeks.
6. We are rounded to the nearest hundred. If the number behind the digit we are rounding is 5 or more, the number goes up. If it's 4 or less, the number goes down. 329,167 has 1 one in the hundreds place. 6 is in the tens place behind it. 6 is more than 5, so we round up. The number rounded to the nearest hundred is 329,200.
8. Okay. So 132 are sold in the summer and 5 times that amount is sold in the winter. The equation would be this: 132 * 5 = s. The variable s represents the snowboards. All you have to do is multiply the numbers. 132 * 5 is 660. There. The store sells 660 snowboards in the winter.
2)
x^2 - 14x - 32 = x^2 - 16x + 2x - 32 = x(x-16) + 2(x-16) = (x - 16)(x + 2)
<h2>
⇒ x^2 - 14x - 32 = (x - 16)(x + 2)</h2>
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3)
2n^2 - 7n - 15 =
= 2n^2 - 10n + 3n - 15 =
= 2n(n - 5) + 3(n - 5) =
= (n - 5)(2n + 3)
<h2>
⇒ 2n^2 - 7n - 15 = (n - 5)(2n + 3)</h2>
---------
4)
<h2>
x^2 - 25 = (x - 5)(x + 5)</h2>