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artcher [175]
3 years ago
11

Solve for all possible values of x.√x-8-3=1Ox= -4O x = 8O x = 12Ox= 24​

Mathematics
1 answer:
faust18 [17]3 years ago
5 0

Answer:

x = 24

Step-by-step explanation:

\sqrt{x - 8}  - 3 = 1 \\  \sqrt{x - 8}  = 1 + 3 \\  \sqrt{x - 8}  = 4 \\ squaring \: both \: sides \:  \\  {( \sqrt{x - 8)} }^{2}  =  {4}^{2}  \\ x - 8 = 16 \\  x = 16 + 8 \\  \huge \red{ \boxed{x = 24}}

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An online furniture store sells chairs for $200 each and tables for $800 each. Every day, the store can ship at most 19 pieces o
HACTEHA [7]

Answer:

  9 tables (see below)

Step-by-step explanation:

Let t represent the number of table sales required to meet revenue requirements. The total of sales for the day must be ...

  7(200) +t(800) ≥ 8000

  800t ≥ 6600 . . . . . . . . . . subtract 1400

  t ≥ 8.25

If additional sales are limited to tables, the store must sell at least 9 tables. The revenue goal can also be met by selling 1 chair and 8 tables. (A chair brings in 0.25 times the revenue of a table.)

If the store sells 5 more chairs, it only needs to sell 7 tables. (This combination will result in 19 pieces being sold.)

3 0
3 years ago
Read 2 more answers
Amy has some money in her checking account. If she writes a check for $42.50, her checking account will be overdrawn by $23.75.W
Bingel [31]
You have to subtract 23.75 from 42.50 to get your answer of 18.75
3 0
3 years ago
Swati recorded this data set, which contains an outlier.
podryga [215]

Answer:

lower quartile: 163  upper quartile: 184

Step-by-step explanation:

1. put the numbers in order from least to greatest. 97, 163, 169, 175, 184, 199

2. find the median. 172

3. find the median of the first 3 numbers to get your Q1. 163

4. find the median of the last 3 numbers to get your Q3. 184

3 0
3 years ago
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Irina-Kira [14]

9514 1404 393

Answer:

  k = -1

Step-by-step explanation:

Put the given value of x in the equation, and solve the resulting equation for k.

  2(5 -3) +k(1 +2·5) = k - 5 - 1

  2(2) +k(11) = k -6 . . . . simplify a bit

  10k = -10 . . . . . . . . . . add -4-k to both sides

  k = -1 . . . . . . . . . . . . . divide by 10

The value of k is -1.

_____

<em>Check</em>

Use k = -1 in the original equation and solve for x.

  2(x -3) -(1 +2x) = -1 -x -1

  2x -6 -1 -2x = -x -2 . . . . eliminate parentheses

  x = 7 -2 = 5 . . . . . . add x+7; answer checks OK

8 0
3 years ago
Identify the slope and y-intercept:<br> y = -1/5x+12<br> Slope:<br><br> y-intercept:
ipn [44]

Answer:

Slope: -1/5  y-intercept: 12

Step-by-step explanation:

y = -1/5x + 12

The equation given is the slope-intercept form, y= mx + b

In this equation, the m, or number in front of the x, is the slope of the line.

The b in the equation represents the y-intercept.

Therefore, according to the given equation, the slope is -1/5 and the y-intercept is 12.

8 0
3 years ago
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