Simplify (4x − 6) + (5x + 1). 9x + 5 9x − 5 x − 5 −x − 5

Mathematics

1 answer:

azamat3 years ago

3 0

Answer:

9x - 5

Step-by-step explanation:

<u>Simplify:</u>

(4x − 6) + (5x + 1) = ⇒ opening parenthesis
4x - 6 + 5x +1 =
(4x+ 5x) + (1 -6) = ⇒ grouping like terms
9x + (- 5) = ⇒ simplifying like terms
9x - 5 ⇒ answer

<u>Correct choice:</u> B. 9x -5

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denis23 [38]

Answer:

Step-by-step explanation:

The picture is below of how to separate this into 2 different regions, which you have to because it's not continuous over the whole function. It "breaks" at x = 2. So the way to separate this is to take the integral from x = 0 to x = 2 and then add it to the integral for x = 2 to x = 3. In order to integrate each one of those "parts" of that absolute value function we have to determine the equation for each line that makes up that part.

For the integral from [0, 2], the equation of the line is -3x + 6;

For the integral from [2, 3], the equation of the line is 3x - 6.

We integrate then:

$\int\limits^2_0 {-3x+6} \, dx+\int\limits^3_2 {3x-6} \, dx$ and

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5 0

3 years ago

In triangle ABC, angle A is 75o and angle B is 20o. Select the triangle that is similar to triangle ABC.

Arturiano [62]

Answer:

A. $\triangle$ DEF where $\angle D = 75^{\circ}$ and $\angle E = 20^{\circ}$ .

Step-by-step explanation:

At first we must keep in mind that two triangles are similar when they have same angle configuration, that is, each pair of angles is congruent. If $\triangle$ ABC and $\triangle$ DEF, then $\angle A \equiv \angle D$ and $\angle B \equiv \angle E$ . Hence, $\angle D = 75^{\circ}$ and $\angle E = 20^{\circ}$ .