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4 years ago

2(x + 7) + 3x = 12 What is the first step in solving this equation for x?

Mathematics

2 answers:

yawa3891 [41]4 years ago

7 0

First step is expand by using distributive property
<span>2(x + 7) + 3x = 12

step 1:
2x + 14 + 3x = 12</span>

ehidna [41]4 years ago

5 0

First step would be to expand it and make it 2x + 14 + 3x = 12

Second step would be to add 2x + 14 + 3x so it can be 5x + 14

Third step would be to subtract 14 from both sides

Fourth step would be to subtract 12 - 14 so it can be -2

Last step to get your answer would be to divide both sides by 5

Answer to this whole equation: x = -2/5.

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Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results.Listed bel

timama [110]

Answer:

D.No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

Step-by-step explanation:

(a) Range is the difference between the smallest and largest observation.

Here Smallest observation = 0.63

and Largest observation = 1.48

⇒ Range = 0.85

(b) Standard Deviation is calculate by,

$Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}} }$

where, $\bar{x}$ is mean of the observation.

Here, Mean = 0.988

⇒ Standard Deviation = 0.313

(c) Variance is the square of Standard deviation.

Thus, Variance = (Standard Deviation)² = 0.098

(d) Here last option(D) is true i.e. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

8 0

3 years ago

Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the points E (1, 5), F (3, 5), a

hram777 [196]

Answer:

$(1,1)$

Step-by-step explanation:

Given: E, F, G, H denote the three coordinates of the area fenced

To find: coordinates of point H

Solution:

According to distance formula,

length of side joining points $(x_1,y_1)\,,\,(x_2,y_2)$ is equal to $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So,

$EF=\sqrt{(3-1)^2+(5-5)^2}=2\,\,units\\FG=\sqrt{(6-3)^2+(1-5)^2}=\sqrt{9+16}=5\,\,units\\GH=\sqrt{(x-6)^2+(y-1)^2}\\EH=\sqrt{(x-1)^2+(y-5)^2}$

Perimeter of a figure is the length of its outline.

$EF+FG+GH+EH=16\\2+5+\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16-2-5\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

Put $(x,y)=(1,1)$

$\sqrt{(1-6)^2+(1-1)^2}+\sqrt{(1-1)^2+(1-5)^2}=9\\\sqrt{25}+\sqrt{16}=9\\5+4=9\\9=9$

This is true.

So, the point $(1,1)$ satisfies the equation $\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

So, point H is $(1,1)$ .

7 0

3 years ago

4(5x - 2) = 72<br> What do I do

Pepsi [2]

Answer:

x = 4

Step-by-step explanation:

4(5x - 2) = 72

Do the distributive property

20x - 8 = 72

Then add 8 to both sides to get 20x alone

20x - 8 = 72

+ 8 + 8

20x = 80

Then divide both sides by 20 to get x

$\frac{20x}{20} = \frac{80}{20}$

x = 4

6 0

3 years ago

8s+4(4s-3)=4(6s+4)-4

elena55 [62]

Answer:

There is no solution.

5 0

3 years ago

I NEED HELP ASAP!!!! PLEASE HELP!!!

IRISSAK [1]

Answer:

y= 2x-3 m=2 b= -3

Step-by-step explanation:

we distribute 2(x-2)

y-1 = 2(x-2)

y-1 = 2x-4

then add one to both sides

y-1= 2x -4

+1 +1

since it is negative four and you are adding one it would be -3

y= 2x -3 that is your slope intercept form.

y= mx +b so m=2 and b= -3

6 0

3 years ago