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anyanavicka [17]

3 years ago

11

Terrell is moving boxes in a freight elevator. Each box weighs about 25 pounds. For safety reasons, a maximum of 600 pounds can

be on the elevator at one time, including Terrell and his equipment at a total of 225 pounds.
Which graph represents the number of boxes Terrell can load into the freight elevator at

1 answer:

k0ka [10]3 years ago

3 0

Answer:

x ≤ 15

Step-by-step explanation:

25x + 225 ≤ 600

Subtract 225 from both sides and get

25x ≤ 375

Divide 25 from both sides and you´ll get

x ≤ 15

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Given function : 4x³ + ln(y²) + 2y = 2x

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or

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3 years ago

Stephanie found a sweater on sale for $10.88. It was such a good deal that she decided to get three sweaters in different colors

ANTONII [103]

For one sweater it would be $10.88 but if she got 3 it would be $32.64
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2 years ago

1. What are the first five terms of the sequence given by the formula an = 5n + 1?

Dvinal [7]

The correct answers are:

(1) 6, 11, 16, 21, 26 (Option B)

(2) $~a_1 = 8$ ; $~a_n = a_{n-1} - 2~$ (Option A)

(3) $~a_n = -2 + 3(n-1)~~~~$ (Option D)

Explanations:

(1) Given Sequence:

$a_n = 5n + 1$

Now in order to find the first 5 terms, we need to put n=1,2,3,4,5 in the above sequence and solve.

For n=1: $a_1 = 5(1) + 1 = 6$

For n=2: $a_2 = 5(2) + 1 = 11$

For n=3: $a_3 = 5(3) + 1 = 16$

For n=4: $a_4 = 5(4) + 1 = 21$

For n=5: $a_5 = 5(5) + 1 = 26$

Hence, the first five terms are: 6, 11, 16, 21, 26 (Option B)

(2) Given Sequence:

8, 6, 4, 2, …

Now to find the recursive definition, we need to adopt trial-and-error approach.

As, $a_1 = 8$ (meaning the first element of the sequence is 8), the second or nth value of the sequence can be found by using the following formula:

$a_n = a_{n-1} - d$ --- (1)

Where, n = the index of the number in a sequence

d = difference between two consecutive numbers = 8-6 = 2

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$a_2 = a_{2-1} - 2$

$a_2 = a_{1} - 2$

Since $a_1 = 8$ , therefore,

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Hence the correct answer is $a_1 = 8$ ; $~a_n = a_{n-1} - 2~$ (Option A)

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−2, 1, 4, 7, …

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$a_n = a_1 + (n-1)*d$ --- (X)

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$a_n = nth~term~of~the~sequence \\a_1 = 1st~term~of~the~sequence = -2 \\d = common~difference = 4-1 = 7-4 = 3 \\n = index~of~a~number~in~a~sequence \\$

Plug in the values in (X):

(X)=> $a_n = -2 + (n-1)*3~~~~$ (Option D)

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