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yulyashka [42]
4 years ago
11

Which graph shows the solution to the following inequality?4d- 6 < 18 PLEASE HELP​

Mathematics
2 answers:
kenny6666 [7]4 years ago
4 0

Answer:

answer a

Step-by-step explanation:

4d-6 < 18

  • Let's isolate d on one side of the equation. Ignore the inequality for now. We'll deal with that later.

4d-6=18\\4d-6+6=18+6\\4d=24\\\frac{4d}{4}=\frac{24}{4}\\ d=6

  • Now, I'm going to bring back the inequality or < symbol. I only removed it when simplifying and isolating d, but if this confuses you, just do your math and keep the inequality there.

d < 6

  • On a number line, this would include every number <em>less than </em>6, due to the < (less than) symbol. This disqualifies answers b and d because they are showing every number <em>greater than </em>6. But, how do we decide between answers a and c?
  • If a line has point at its beginning, 6, then that means that every number <em>less than or equal to</em> [ ≤ ] 6 is being shown, but our equation just says <em>less than </em>[ < ] 6, so answer a is our correct answer.
dem82 [27]4 years ago
3 0
Answer A is the answer
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Answer:

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Step-by-step explanation:

3/4 ÷ 3/8

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3 years ago
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Taylor buys nail polish from a shop that cost $3.95 each. She has a maximum of $30 to spend on nail polish purchases. The total
kati45 [8]

Answer:

C_t=3.95x,\ 0\leq x\leq 7

Step-by-step explanation:

<u>Modeling With Functions</u>

It's a common practice to try to mathematically represent the relation between two or more variables. It allows us to better understand the behavior of the phenomena being observed and, more importantly, to be able to predict future values.

The specific situation stated in the question relates how Taylor buys nail polish for $3.95 each, with a maximum of $30 to spend. If x is the number of nail polish purchased, then the total cost will be

C_t=3.95x

But we know Taylor has a limited budget of $30, so the total cost cannot exceed that amount

3.95x\leq 30

Solving the inequality for x

x\leq 30/3.95

x\leq 7.6

We round down to

x\leq 7

Of course, the lower limit of x is 0, because Taylor cannot purchase negative quantities of nail polish

Our model is now complete if the state the limits of x, or its domain

\boxed{C_t=3.95x,\ 0\leq x\leq 7}

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3 years ago
Will 4in. 3in. and 5in. form a triangle?
lesya692 [45]
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3 years ago
HELP ME [QUESTION IN IMAGE AND NOT THAT HARD EITHER]
kondaur [170]

Answer:

Button #4. The last button. 8p = t.

Step-by-step explanation:

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3 years ago
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yanalaym [24]

Answer:

Expression for area = 3x² - 15x - 42

Step-by-step explanation:

Given that:

Length of rectangle desktop = 3(x+2) = 3x+6 units

Width of rectangle desktop = x - 7

Area of rectangle desktop = Length * Width

Area of desktop = (3x+6)(x-7)

Area = 3x(x-7) +6(x-7)

Area = 3x² - 21x + 6x - 42

Area = 3x² - 15x - 42

Hence,

Expression for area = 3x² - 15x - 42

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