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3 years ago

Simplify the rational expression. State any restrictions on the variable.

Mathematics

1 answer:

natulia [17]3 years ago

8 0

Answer:

t+4, t≠8

Step-by-step explanation:

$\dfrac{t^2-4t-32}{t-8}=\dfrac{(t+4)(t-8)}{(t-8)}=t+4$

The value of t must not be one that makes the denominator zero, hence must not be 8.

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2 years ago

1. Kane earns an annual salary of $42,500.

Katarina [22]

Answer:

$1753.13

Step-by-step explanation:

Kane's Annual Salary = $42,500

Gross Pay = $42,500

Net Pay = Gross Pay - 1% of Gross Pay

=42500 - (0.01 X 42500)

=$42,075

Since he is paid twice a month with paychecks being of equal amounts.

Number of Payments in a Year =12 X 2= 24

Therefore, Kane's Take Home pay after Medicare taxes

$= \$42075 \div 24\\=\$1753.13$ (to the nearest cent)$

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2 years ago

Solve the following system of equations. What is one x-value of a solution?

gulaghasi [49]

Answer:

There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555

Step-by-step explanation:

Given the functions:

f(x) = x² + 4x + 10

g(x) = -32x - 40

we want to find the points at which f(x) = g(x).

x² + 4x + 10 = -32x - 40

x² + 4x + 10 + 32x + 40 = 0

x² + 36x + 50 = 0

Using quadratic formula:

$x = \frac{-b \pm \sqrt{b^2-4(a)(c)}}{2(a)}$

$x = \frac{-36 \pm \sqrt{36^2-4(1)(50)}}{2(1)}$

$x = \frac{-36 \pm 33.11}{2}$

$x_1 = \frac{-36 + 33.11}{2}$

$x_1 = -1.445$

$x_2 = \frac{-36 - 33.11}{2}$

$x_2 = -34.555$

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2 years ago

What is the easiest way to explain how to dilate an object/ shape

Nat2105 [25]

Dilation - of a polygon A transformation in which a polygon is enlarged or reduced by a given factor around a given center point. Try this Adjust the slider on the right to change the scale factor. Drag the center point O. Dilation is where the polygon grows or shrinks but keeps the same overall shape. It's a little like zooming in or out on a camera. In the figure above, the polygon is a rectangle ABCD. As you adjust the slider on the right, the transformed rectangle A'B'C'D gets bigger and smaller, but remains the same shape

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2 years ago

Read 2 more answers

Please help for brainliest answer

melamori03 [73]

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2 years ago