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2 years ago

Distribute to write an equivalent expression: -1/2 (-2x+4y)

Mathematics

1 answer:

Triss [41]2 years ago

8 0

Answer:

x - 2y

Step-by-step explanation:

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Tina's gross pay is $2680. How much of her gross pay will be deducted for FICA taxes?

Burka [1]

<span>2680 * 6.2% = $166
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3 years ago

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hram777 [196]

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Step-by-step explanation:

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2 years ago

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If f(x)=2x^2+(1000/x), find the average rate of change of f(x) from x=a to x=a+h.

galina1969 [7]

Answer:

$\frac{\frac{1000}{x+h}-\frac{1000}{x}}{h}$ is your average rate of change,

Step-by-step explanation:

average rate of change is

$\frac{f(a+h)-f(a)}{a+h-a}$ , by slope formula

simplify this to get $\frac{f(a+h)-f(a)}{h}$ , which is the definition of the derivative as h goes to 0

$\lim_{h \to 0} \frac{f(a+h)-f(a)}{h}$

since you defined x=a, we can substitute a for x and vice versa to find our derivative.

$\lim_{h \to 0} \frac{(2x^2+\frac{1000}{x+h})-(2x^2+\frac{1000}{x})}{h}$

simplifying

$\lim_{h \to 0} \frac{\frac{1000}{x+h}-\frac{1000}{x}}{h}$ (your average rate of change)

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3 years ago

Two congruent squares and a parallelogram were used to form the figure shown. 3 meters, 6 meters, 2.8 meters, 3 meters What is t

elixir [45]

The area of a figure is the amount of space the figure occupies

The surface area of the figure is 34.8 square meters

<h3>How to determine the area of the shape</h3>

From the question, we have:

The dimensions of the congruent squares are 3 m by 3 m
The dimensions of the parallelogram are height of 2.8 m, and base of 6 m

So, the area of the figure is:

Area = 2 * Area of square + Area of parallelogram

This gives

$Area = 2 * (3m * 3m) + 2.8m * 6m$

Evaluate the products

$Area = 18m^2 + 16.8m^2$

Evaluate the sum

$Area = 34.8m^2$

Hence, the surface area of the figure is 34.8 square meters