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Keith_Richards [23]
3 years ago
13

If f(x)=4ˣ-8 and g(x)=5x+6, find (f-g) (x)

Mathematics
1 answer:
artcher [175]3 years ago
5 0

Answer:

(f-g) (x) is

{4}^{x}  - 5x - 14

Step-by-step explanation:

f(x)=4ˣ - 8

g(x)=5x+6

(f-g) (x) is

{4}^{x}  - 8 \:  -  (5x + 6) \\   {4}^{x}  - 8 - 5x - 6

The final answer is

{4}^{x}  - 5x - 14

Hope this helps you.

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Solve the compound inequality. Graph the solution on the number line. 4x-2>14 or 2x+5 ≤5
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3 years ago
If two consecutive angles of a parallelogram are congruent, what is the measure of each angle?
Debora [2.8K]

Answer:

Measure of each angle is 90 degree.

Step-by-step explanation:

Given : If two consecutive angles of a parallelogram are congruent.

To find the measure of each angle:

There are 6 important properties of parallelograms:

  • Opposite sides are congruent.
  • Opposite angles are congruent
  • Consecutive angles are supplementary.
  • If one of the angle is right angle, then all angles are right.
  • Diagonals of a parallelogram bisect each other
  • Also, each diagonal of a parallelogram separates it into two congruent.

let A and D be two consecutive angle.

then, by the given condition

\angle A \cong \angle D           ......[1]

From the  property of parallelogram:

Consecutive angles are supplementary

Then;

\angle A + \angle D = 180^{\circ}

From equation [1];

\angle A + \angle A = 180^{\circ}

Combine like terms :

2\angle A = 180^{\circ}

Divide both sides by 2 we get;

\frac{2 \angle A}{2} = \frac{180^{\circ}}{2}

Simplify:

\angle A = 90^{\circ}

From the given property of parallelogram : if one of the angle is right, then all the angles in the parallelogram are right angle.

∴ \angle A = \angle B = \angle C = \angle D = 90^{\circ}

Therefore, the measure of each angle is 90^{\circ}

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Answer:

See below.

Step-by-step explanation:

Part A.

I'm changing the l and w to capital letters, so you don't confuse the l (small-case L) with a 1 (one).

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Since W is on the right side, switch sides to end up with W on the left side.

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Since the quantity in parentheses is being multiplied by 2, we divide both sides by 2.

L + W = P/2

L is being added to W, so we subtract L from both sides.

W = P/2 - L

Part B.

First, I switched sides to have W on the left side. Then, I divided both sides by 2. Finally, I subtracted L from both sides.

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What is the probability
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