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Harrizon [31]
3 years ago
7

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mathematics
1 answer:
pantera1 [17]3 years ago
4 0

Answer:

-5/2 x -33/4

Step-by-step explanation:

(-11/2 x + 3) -2 (-11/4 x -5/2)

(-11/2 x + 3/1) -2 (-11/4 x -5/2)

The LCM of 2 and 1 is 2, and the LCM of 4 and 2 is 4.

(-11/2 x + 6/2) -2 (-11/4 x -20/4)

( -5/2x) -2 (-31/4)

-5/2x -2 -31/4

-5/2x -2/1 -31/4

LCM of -2 -31/4 is 4

-2/4 -31/4

-33/4

-5/2x -33/4 in simplest form.

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The gardening club at school is growing vegetables. The club has 300 square feet of planting beds. Cucumber plants require 6 squ
nadya68 [22]

<em>The question doesn't ask anything in particular, I will show the set of inequalities defined in the problem.</em>

Answer:

<em>System of inequalities:</em>

6c+4t\leq 300

c>0\\t > 0\\c+t\geq 60

Step-by-step explanation:

<u>Inequalities </u>

The express relations between expressions with a sign other than the equal sign. Common relationals are 'less than', 'greater than', 'not equal to', and many others.

The gardening club at school has 300 square feet of planting beds to plant cucumber and tomato. Each cucumber plant requires 6 square feet of growing space and each tomato plant requires 4 square feet of growing space. We know the total area cannot exceed 300 square feet, so

6c+4t\leq 300

Being c and t the number of cucumber and tomato plants respectively.

We also know the students want to plant some of each type of plant and have at least 60 plants. This lead us to more conditions

c>0\\t > 0\\c+t\geq 60

<em>Note: The set of inequalities shown is not enough to uniquely solve the problem. We need something to maximize or minimize to optimize c and t</em>

8 0
3 years ago
The quadratic function: <img src="https://tex.z-dn.net/?f=y%3D-x%5E2-8x%2B1" id="TexFormula1" title="y=-x^2-8x+1" alt="y=-x^2-8x
pav-90 [236]

Answer:

  2)  (-∞, 17]

Step-by-step explanation:

The leading coefficient of the function is negative, so the parabola opens downward. The vertex will be a maximum, the upper end of the range. The lower end of the range will be -∞.

The vertex of the function lies on the axis of symmetry. The maximum can be found by evaluating the function at x=-4.

  y = -(-4)² -8(-4) +1 = -16 +32 +1 = 17

The range of the function is (-∞, 17].

8 0
2 years ago
Which is the decimal expansion of the following 1/5
amid [387]

Answer:

Decimal expansion of 1/5 = 0.2

7 0
3 years ago
What is the answer to -8 = 2x
galina1969 [7]

Answer:

Step-by-step explanation:

-4

3 0
3 years ago
Read 2 more answers
For his research report, Derek writes 21 pages in a week. Which shows his writing rate in pages per day?
Gelneren [198K]

Answer:

3 pages per week

Step-by-step explanation:

21 (pages written)/ 7 (amount of days)

21/7= 3

6 0
3 years ago
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