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Over [174]
3 years ago
6

Please answer Thank you please answer hurry PLease

Mathematics
1 answer:
Alik [6]3 years ago
5 0

Answer:

$(80.5x + 69)

Step-by-step Explanation:

Recall, distributive property of multiplication can simply be expressed as follows, x(y + z) = xy + xz or x(y - z). Where x, y, and z could be any number.

Now, let's use the distributive property to show the total costs of plants Gloria decides to buy as an expression and also simplify it.

Thus, Gloria buys:

4 ferns = 4(0.5x - 3) = 4(0.5x) - 4(3) = $(2x - 12)

2 palms = 2(10x - 2.50) = 2(10x) - 2(2.50) = $(20x - 5.00)

10 lilies = 10(5 + 0.25x) = 10(5) + 10(0.25x) = $(50 + 2.5x)

8 shrubs = 8(4.50 + 7x) = 8(4.50) + 8(7x) = $(36 + 56x)

Total cost of the plants = (2x - 12) + (20x - 5) + (50 + 2.5x) + (36+ 56x)

Open the parentheses and then simplify:

Total cost = 2x - 12 + 20x - 5 + 50 + 2.5x + 36 + 56x

= 2x + 20x + 2.5x + 56x - 12 - 5 + 50 + 36

Total cost = $(80.5x + 69)

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They represent the rise and run of the graph.

Step-by-step explanation:

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The difference between the y-axis of of the points represents the "rise" of the graph (or how much you should rise up the y-xis to get to the next point).

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Is the statement “The absolute value of a number is always greater than its opposite” true?
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Step-by-step explanation:

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Write a system of linear inequalities so the points (1, 2) and (4, -3) are solutions of the system, but the point (-2, 8) is not
Verizon [17]

Answer: \left \{ {{y\leq -\frac{5}{3}x + \frac{11}{3}} \atop {y < 8}} \right

<u>Step-by-step explanation:</u>

(1, 2) and (4, -3)

First, find the slope (m): \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m = \frac{-3-2}{4-1}

   = -\frac{5}{3}

Next, choose ONE of the points and input the point and slope into the Point-Slope formula: y - y₁ = m(x - x₁)

y - 2 = -\frac{5}{3}(x - 1)

y - 2 = -\frac{5}{3}x + \frac{5}{3}

y      = -\frac{5}{3}x + \frac{11}{3}

Then, determine which inequality symbol will result in (-2, 8) being False (since it is not a solution):

y ___ -\frac{5}{3}x + \frac{11}{3}

8 ___ -\frac{5}{3}(-2) + \frac{11}{3}

8 ___ \frac{1}{3}

8 > \frac{1}{3}

so ≤ makes the statement False

⇒ y ≤ -\frac{5}{3}x + \frac{11}{3}

****************************************************************

If you need a "system" of inequalities, then you need another equation.

There are infinite possibilities. Graph the points to see what works.  

y < 8   or  x > -2 are two examples.


---> I just realized that the system can be simpler than what I did above:

\left \{ {{x>-2} \atop {y < 8}} \right



4 0
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James determined that these two expressions were equivalent expressions using the values of x - 4 and x - .6
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Answer:2 4 and 5

Step-by-step explanation:

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