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3 years ago

Solve Expression 12(3+5x)+1/4(16x-8)

Mathematics

1 answer:

Lynna [10]3 years ago

4 0

Answer:

56x + 34

Step-by-step explanation:

12(3 + 5x) + 1/4(16x - 8)

First, use the distributive property. You will get:

(12)(3) + (12)(5x) + (1/4)(16x) - (1/4)(8)

Next, multiply the numbers. You will then have:

36 + 60x + 4x - 2

Now, rearrange the numbers. The variables go in the front. This is what it should look like:

60x + 4x + 36 - 2

Add 60x and 4x, then subtract 36 and 2. This is your answer:

56x + 34

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Find the slope of the line that passes through the following points. Write "undefined" if the slope is undefined.

Katyanochek1 [597]

The slope of the line that passes through the following points is undefined

Solution:

Given that, We have to find the slope of line passing through two points

Given points are (-1, 5) and (-1, 6)

The slope of line is given by formula:

$m = \frac{y_2-y_1}{x_2-x_1}$

From given,

$(x_1, y_1) = (-1, 5)\\\\(x_2, y_2) = (-1, 6)$

Substituting the values we get,

$m = \frac{6-5}{-1-(-1)}\\\\m = \frac{1}{-1+1}\\\\m = \frac{1}{0}$

Thus the slope is undefined

5 0

3 years ago

A rectangle’s perimeter and it area have the same numerical value. The width of the rectangle is 3 units. What is the length is

Verdich [7]

Answer:

Step-by-step explanation:

3+3+6+6=18

3*6=18

5 0

3 years ago

The perimeter of a rectangle is 66 feet. The width is 15 ft less than 1/2 the length. Find the dimensions of the figure

lianna [129]

The length is 32 and the width is 1. 32÷2 is 16. 16-15 is 1. 32+32+1+1 is 66

8 0

3 years ago

find the particular solution to the exact differentiable equation dy/dx=(2e^x)-cosx passing through the point (0,3)

lozanna [386]

Answer:

y = 2eˣ - sin x + 1

Step-by-step explanation:

dy/dx = 2eˣ - cos x

(0, 3)

Integrate dy/dx to find the original function.

y = 2eˣ - sin x + C

Solve for C by substituting the point given.

3 = 2e⁰ - sin(0) + C
3 = 2 - 0 + C
1 = C

Now we can substitute C into the original function.

y = 2eˣ - sin x + 1

This is the particular, or explicit, solution to the differentiable equation.

7 0

3 years ago

An investigative bureau uses a laboratory method to match the lead in a bullet found at a crime scene with unexpended lead cartr

Basile [38]

Answer / Step-by-step explanation:

In this exercise, we know that the agency collected 1,829 bullets which according to the agency, all came from different source.

The number of pair of bullet is :

(1,829) = 1, 829 ! / 2! ( 1,829 - 2 ) = 1, 829 x 1,828 x 1827 ! / 2 x 1 x 1,827

( 2 )

= 6, 108,413,724 / 3654

= 1671,706.

Also, we know that the agency found 658 matches. According to this, the chance of false positive ( that is, the agencies find a match but the bullets are from two different source ) is

P (False positive ) = 658 / 671,706

= 0.000979.

The probability is small to an extent, therefore, we should have confidence in the agency forensic report and evidence

6 0

3 years ago