Which answer is the solution set to the given inequality |x+7| < 17

Answer:

B. 9.7 in.

Step-by-step explanation:

We have been given an image of a triangle. We are asked to find the value of x.

We will use area of triangle formula to solve our given problem.  

[tex]\text{Area of triangle}=\frac{1}{2}\times \text{Base*Height}[/tex]

[tex]47\text{ in}^2=\frac{1}{2}\times x*x[/tex]

[tex]2*47\text{ in}^2=\frac{1}{2}*2\times x^2[/tex]

[tex]94\text{ in}^2=x^2[/tex]

Taking square root of both sides we will get,

[tex]x=\sqrt{94\text{ in}^2}[/tex]

[tex]x=9.6953597\text{ in}\approx 9.7\text{ in}[/tex]

Therefore, the value of x is 9.7 inches and option B is the correct choice.

Answer:

Step-by-step explanation:

width - 19m

length - 44m

To express 0.71428571428 as a fraction, we use a geometric series and find that the simplest form is 713/999.

To express 0.71428571428 as a fraction in simplest form, we first note that the fractional part of the decimal is 0.71428571428. Since the decimal has a repeating pattern, we can represent it as a fraction using a geometric series. Let x equal the fraction, then we have:

x = 0.71428571428

Multiplying both sides by 10 gives:

10x = 7.1428571428

Subtracting the original equation from the new equation eliminates the repeating part:

10x - x = 7.1428571428 - 0.71428571428

Simplifying, we get:

9x = 6.42857142852

Dividing both sides by 9, we find:

x = 0.71428571428 = 6.42857142852/9 = 713/999

Therefore, 0.71428571428 as a fraction in simplest form is 713/999.

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sorry if im wrong

9) yes

10) If you live in Georgia, then you live in Atlanta

11) If three points are collinear, then they are coplanar.

if three points are coplanar, the they are collinear.

Answer:

1940.70

Step-by-step explanation:

Answer:3. constant - D. a numerical value

2. coefficient - A. the constant preceding the variables in a product

4. expression -E. a mathematical phrase....

5. variable - B. a letter... representing an unkown

1. algebraic expression - C. a mathematical expression...

hope this helps

Step-by-step explanation:

Answer with explanation:

The equation of line in slope intercept form is :

   y= m x +c

Where,m =Slope

c=Y intercept =Distance between origin and point where the line cuts the Y axis

The equation of line is

y= 9 x-2

Comparing with the above equation of line in slope intercept form

Slope =9

Y intercept =2

Option 4

The slope is 9, and the y-intercept is 2.

Answer:

1st and last one

Step-by-step explanation:

the first and the last one are the only ones that represent a function because for each value of x there is only one corresponding value of y.

A graph represents a function if each value of x corresponds uniquely to a value of y. These graphs, often called line graphs, can depict various types of functions like linear, quadratic, etc. The slope and position of the line will vary depending on the function's formula.

In the subject of Mathematics, specifically when dealing with functions and graphs, a graph represents a function if each value of x corresponds to a unique value of y. This means that different values of x will produce different values of y. Graphs can be produced using specific pairs of (x,y) data points.

These graphs may be named line graphs as they showcase the relationship between two variables: one measured on the horizontal axis (x) and the other on the vertical axis (y). An example could be a function where y = a + bx. If b > 0, the line of the graph slopes upward to the right. If b = 0, the line is horizontal. If b < 0, the line slopes downward to the right.

Graphs may also represent other types of functions like linear, quadratic, inverse, or exponential, depending on the equation of the relation between x and y. It's also important to note that there can be other types of graphs, such as a specific type of line graph shown, where the x-axis consists of data values and the y-axis consists of frequency points.

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2/3 * 5/7 =

 multiply the 2 top numbers and then the 2 bottom numbers

2*5 =10

3*7 = 21

so you get 10/21

 answer is C

The ratio of pink stripes to green stripes on Santana's wall is 4:5.

To find the ratio of pink stripes to green stripes on Santana's wall, we need to compare the two quantities. Santana has 16 pink stripes and 20 green stripes. The ratio can be simplified by finding the greatest common divisor of the two numbers and then dividing both by that number to find the simplest form.

In this case, the greatest common divisor of 16 and 20 is 4. We divide both numbers by 4 to simplify the ratio:

16 / 4 = 4

20 / 4 = 5

Therefore, the simplified ratio of pink stripes to green stripes is 4:5.

If each member are encouraged to sell at least 10 gardens, and you have already sold 3 + 4 = 7 gardens, therefore you only lack 3.

Let us say that x = the number of gardens you can sell, therefore the inequality equation is:

x ≥ 3

or we can also say

x > 2

Answer:

The correct option is 2.

Step-by-step explanation:

The given system of inequalities

[tex]y+2<5x[/tex]

[tex]y+3x>4[/tex]

[tex]y\geq 2x[/tex]

Inequality (1) can be written as

[tex]y<5x-2[/tex]

The related equation is

[tex]y=5x-2[/tex]

The slope of line is 5 and y-intercept is -2.

The sign of inequality is < , it means related line of inequality (1) is a dotted line and shaded region is below the line.

Inequality (2) can be written as

[tex]y>-3x+4[/tex]

The related equation is

[tex]y=-3x+4[/tex]

The slope of line is -3 and y-intercept is 4.

The sign of inequality is >, it means related line is a dotted line and shaded region is above the line.

Inequality (3) is

[tex]y\geq 2x[/tex]

The related equation is

[tex]y=2x[/tex]

The slope of line is 2 and y-intercept is 0.

The sign of inequality is ≥, it means related line is a solid line and shaded region is above the line.

In the below graph the common shaded region is the solution region.

Therefore the correct option is 2.

Answer: Hello mate!

in the graph you can see that:

Jonathon does 2 pushups when he does 15 crunches.

then he does 4 = ( 2+ 2) pushups when he does 30 = (15 + 15) crunches

this means that he does 2 pushups more than before, and 15 crunches more than before.

and 6= (2 + 2 +2) pushups when he does 35 =(15 + 15 + 15) crunches.

this, again, means that he does 2 pushups more than before, and 15 crunches more than before.

then you can see that he does 2 pushups for every 15 crunches.

To solve for 'x' and the length of segment AB, we use the equation AB + BC = AC, which simplifies to (3x - 3) + (4x + 8) = 75, revealing that 'x' = 10 and the length of AB is 27 units.

The question requires us to find the value of 'x' and the length of segment AB given that B is between A and C, with AB = 3x – 3, BC = 4x + 8, and the total length AC = 75. To solve this, we set up an equation using the given lengths of segments AB and BC to equal the total length AC. This gives us the equation AB + BC = AC, which simplifies to (3x – 3) + (4x + 8) = 75.

First, we simplify the equation: 3x + 4x – 3 + 8 = 75, which reduces to 7x + 5 = 75. Subtracting 5 from both sides gives us 7x = 70. Dividing both sides by 7, we find that x = 10. With the value of x, we can find AB by substituting x back into its equation: AB = 3(10) – 3 = 30 – 3 = 27.

Therefore, the value of 'x' is 10 and the length of segment AB is 27 units.

Well if the hotel costs 60 dollars per night and she is only willing to spend $50 she wouldn't be able to spend any nights in the hotel I believe.

Hope this helps!