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4 years ago

Please Solve: 3 (2x - 14) = -3 (-13 + x). x = __

Mathematics

1 answer:

Andreas93 [3]4 years ago

6 0

Answer:

x = 81/7

Step-by-step explanation:

3(2x - 14) = -3(-13 + x)

6x - 42 = 39 - x

6x + x = 39 + 42

7x = 81

x = 81 ÷ 7

x = 81/7

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MakcuM [25]

Answer:

Option 2

Step-by-step explanation:

Minimum value is going to be in the y part of our coordinate, so we can just look there. I went ahead and used a graphing calculator to make things easy.

Starting off with option 2, we can see the minimum is -10. And in option 4 we can see the smallest y value is -6.

Using a graphing calculator (I used desmos), we can graph these other functions and figure out their minimums.

Option 1's y minimum is -7, and Option 3's y minimum is -2.25.

Option 1: -7

Option 2: -10

Option 3: -2.25

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The questions asks for the smallest minimum value, which in this case is option 2.

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What is the difference in length between the longest insect and the shortest insect centimeters

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3 years ago

What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that ap

Bond [772]

So the right options are:

$y=-\frac{2}{5}x-1$

$2x+5y = -5$

$y-1=-\frac{2}{5}(x+5)$

Further explanation:

Given equation of line is:

2x+5y=10

We have to convert it into point-slope form

$2x+5y=10\\5y=-2x+10\\Dividing\ both\ sides\ by\ 5\\y=-\frac{2}{5}x+\frac{10}{5}\\y=-\frac{2}{5}x+2$

The co-efficient of x is the slope of the line

So,

$m= -\frac{2}{5}$

As the required line is parallel to given line, it will also have same slope.

Let m1 be the slope of required line

Then the line will be:

$y=m_1x+b$

Putting the value of slope

$y=\frac{2}{5}x+b$

Putting (-5,1) in the equation to find the value of b

$1=-\frac{2}{5}(-5)+b\\1=2+b\\b=1-2\\b=-1$

Putting the values of slope and b in equation

$y=-\frac{2}{5}x-1$

Multiplying the whole equation by 5 will give us:

5y = -2x-5

2x+5y = -5

Another form of equation of line is Point-slope form

$y-y_1=m(x-x_1)$

Putting the values of slope and point in the equation, we get

$y-1=-\frac{2}{5}(x+5)$

So the right options are:

$y=-\frac{2}{5}x-1$

$2x+5y = -5$

$y-1=-\frac{2}{5}(x+5)$

Keywords: Point-Slope form, Parallel lines

Learn more about point slope form at:

#LearnwithBrainly

4 0

3 years ago

Read 2 more answers

|13x-4|+12 < 56 Anybody know this cuz I do

Ronch [10]

Answer:

$\displaystyle x\in \left(-\frac{40}{13},\frac{48}{13}\right)$

Step-by-step explanation:

Inequalities with Absolute Value

We must recall the following rule:

$\text{If }|M|0$

Then:

$-N$

We have the following inequality:

$|13x-4|+12 < 56$

Subtracting 12:

$|13x-4|< 56-12$

$|13x-4|< 44$

Applying the rule:

$-44$

Adding 4:

$-44+4$

Operating:

$-40$

Dividing by 13:

$\displaystyle -\frac{40}{13}$

The solution expressed in interval form is:

$\boxed{\displaystyle x\in \left(-\frac{40}{13},\frac{48}{13}\right)}$

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3 years ago