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3 years ago

1. Write the solution set in interval notation: 3x-2 > x-4 or 7x-5 < 3x+3

Mathematics

2 answers:

chubhunter [2.5K]3 years ago

8 0

$3x-2>x-4 \hbox{ or } 7x-5x-4 \\
3x-x>-4+2 \\
2x>-2 \\
x>\frac{-2}{2} \\
x>-1 \\ \\
7x-5$

Yakvenalex [24]3 years ago

5 0

$3x-2>x-4\ \ | subtract\ x\ \ \ \ \textbf{or}\ \ \ \ 7x-5-4\ \ | add\ 2\ \ \ \ \ \textbf{or}\ \ \ \ 4x-5-2\ \ \ \ \ \textbf{or}\ \ \ \ \ 4x-1\ \ \ \ or\ \ \ \ x$

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What is the length of the line?

Radda [10]

Answer:

x= $\sqrt{169}$

x=13

Step-by-step explanation:

12*12+5*5=x*x

x*x=169

x= $\sqrt{169}$

x=13

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2 years ago

I WILL GIVE BRAINLIEST IF YOUR ANSWER IS CORRECT

telo118 [61]

Answer:

1. 4.5 g

2. 56.25 g

Step-by-step explanation:

3 % substance solution means :

3 g of dry substance is present in 100 g of solution.

By unitary method:

The weight of dry substance in 1 g of solution = $\frac{3}{100}$

The weight of dry substance in 150 g of solution = $\frac{3}{100}\times150=4.5\ g$

Let the weight of solution be w.

8 % solution contains 8 g dry substance in 100 g.

We have to find the weight of the solution(w) which contains 4.5 g of dry substance.

⇒ $\frac{8}{100}\times w=4.5\\w=\frac{450}{8}=56.25\ g.$

6 0

3 years ago

assume that 0<x<pi/2 and 0<y<pi/2. find the exact value of sin(x+y) if cosx=8/17 and siny= 12/37

max2010maxim [7]

Answer:

621 / 629

Step-by-step explanation:

We are given the following information -

cos x = $\frac{8}{17}$ , and sin y = $\frac{12}{37}$

Respectively we can use the following information -

sin( x + y ) = sin x ( cos y ) + sin y ( cos x ),

$cos^2x + sin^2x = 1,\\cos^2y + sin^2y = 1$

Knowing that cos^2x + sin^2x = 1, cos^2y + sin^2y = 1, we can calculate the value of sin x and cos y, plugging it into the first bit " sin( x + y ) = sin x ( cos y ) + sin y ( cos x ) "

$sin^2x = 1 - cos^2x,\\sin^2x = 1 - ( 8 / 17 )^2,\\sin^2x = 15^2 / 17^2\\----------------\\sin ( x ) = 15 / 17$

Respectively cos y should be 35 / 37 -

$cos^2y = 1 - sin^2y,\\cos^2y = 1 - ( 12 / 37 )^2,\\cos^2y = 35^2 / 37^2\\----------------\\cos ( y ) = 35 / 37$

Thus,

sin( x + y ) = ( 15 / 17 ) * ( 35 / 37 ) + ( 12 / 37 ) * ( 8 / 17 ),

sin( x + y ) = 621 / 629

<u><em>Hope that helps!</em></u>

5 0

3 years ago

Michael record the number of miles he runs each week for the nine weeks 6,11,13,8,15,9,11,5,9 which box plot represents the data

Nina [5.8K]

<h3>Answer: Upper right corner</h3>

Five number summary

min = 5
Q1 = 7
median = 9
Q3 = 12
max = 15

===============================================

Explanation:

The given list of values is {6, 11, 13, 8, 15, 9, 11, 5, 9}

It sorts to {5, 6, 8, 9, 9, 11, 11, 13, 15}

The middle most value is the second 9. We have four items below or at the median {5,6,8,9} and four values above the median {11,11,13,15}

The middle item of {5,6,8,9} is (6+8)/2 = 14/2 = 7. This is the value of Q1.

The middle item of {11,11,13,15} is (11+13)/2 = 24/2 = 12. This is Q3.

The min is 5 since it is the smallest of the original list.

The max is 15 because it is the largest of the original list.

The five number summary is

min = 5
Q1 = 7
median = 9
Q3 = 12
max = 15

The boxplot that matches with this five number summary is the boxplot in the upper right corner.

The min is the left whisker. The max is the right whisker.

The left edge of the box is Q1. The right edge of the box is Q3.

The middle vertical line inside the box is the median.

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3 years ago

How do you solve #y=x-4#, #2y=-x+10# by graphing and classify the system?

Oxana [17]

I think first we calculate the values of x and y and then we draw the graph. Hope this helps you

7 0

3 years ago