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4 years ago

Please answer Thank you please answer hurry PLease

Mathematics

1 answer:

Alik [6]4 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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2 years ago

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3 years ago

Four times the sum of a number and 6 is equal to 2

olga55 [171]

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5.5

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3 years ago

Convert the following polar-form vectors of the form ⟨r,θ⟩ into component-form vectors of the form ⟨x,y⟩. Your answers should be

storchak [24]

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Answer:

a) <8.356, 9.959>

b) <-0.605, -1.663>

c) <-5.023, 2.9>

Step-by-step explanation:

Many calculators can perform polar ⇔ rectangular conversion. Attached is the result from one of them. Of course, you can also program a spreadsheet to do it. (The ATAN2( ) function is useful for finding the correct angle.)

If you want to do these calculations by hand, the conversion is ...

<r, θ> ⇒ <r·cos(θ), r·sin(θ)>

In the attached, the rectangular coordinates are shown as complex numbers. The imaginary component is the y-component of the vector.

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3 years ago