The graph below shows the solution to which system of inequalities?

Answer:

B.20

Step-by-step explanation:

Answer:

the dimensions of the rectangle are 10 and 7.

Step-by-step explanation:

Given;

area of the rectangle, A = 70 m²

dimensions of the rectangle, = x - 11 and x - 8

The area of rectangle is calculated as;

A = L x B

70 = (x - 11)(x - 8)

70 = x² - 8x - 11x + 88

0 = x² - 8x - 11x + 88 - 70

0 = x² - 19x + 18

0 = x² - x - 18x + 18

0 = x(x - 1) -18(x - 1)

0 = (x - 18)(x - 1)

0 = x - 18     or    

0 = x - 1

x = 18 or 1

The dimensions of the rectangle are calculated as;

L = 18 - 11  = 7

B = 18 - 8 = 10

Therefore, the dimensions of the rectangle are 10 and 7.

Distance=√[{3-(-5)}²+{-3-(-4)}²]=√[{8}²+{1}²]=√[64+1]=√65

Distance=√65=8.06 (approx)

Answer:

The last one.

Step-by-step explanation:

If you can't see or there's something you don't understand you can ask:) Good luck and I hope it helps.

Answer:

1.-38

2.36

3.-44

4.44

5.16

6.-24

7.?

8.-2

9.-9

10.18

11.43

12.4

Step-by-step explanation:

lol have a good day!

Answer:

$80+18%= $94.4

Step-by-step explanation:

80:100×18= $14.4 (18% of 80)

$80+14.4 = $94.4

Answer:

-27

Step-by-step explanation:

f(x) = 3(x-1)(x-7)

     = (3x-3)(x-7)

     = 3x^2 - 24x + 21

when f(x) = 0, x = 7 or 1

x-intercept of vertix of the graph = (7+1 )/ 2 = 4

f(x) attains it's minimum when x = 4

The minimum output value = 3(4-1)(4-7)  = -27

Answer:

1260

Step-by-step explanation:

212x3=636

104x6=624

636+624=1260

Answer:

I think that Aliya is paid 3 dollars more than Eric per hour .

Answer:

x = 53

Step-by-step explanation:

x = 53 (Vertically Opposite Angles)

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

Step-by-step explanation:

Answer:

27/sqrt9, 4^2 are the rational numbers

Step-by-step explanation:

All the other ones do not terminate, so this leaves these as the answers.

hope this helps!

Answer:

2352

Step-by-step explanation:

You just multiply them

Answer:

Polymomial with 4 terms i believe

Answer:

4.1n

Step-by-step explanation:

Given the equation n – 4.6n – 3.3n + 2.8n , to get its equivalent expression, the following steps must be followed;

Step 1:

Factor out the common variable n

n(1 – 4.6 – 3.3 + 2.8)

Step 2:

Carry out the operation in parentheses;

= n(1+2.8-4.6-3.3)

= n(3.8-4.6-3.3)

= n(3.8-3.3-4.6)

= n(0.5-4.6)

= n(-4.1)

= -4.1n

The equivalent expression is -4.1n

Answer:

she brought 21 shirts and 2 pants

Step-by-step explanation:

shirts

21× 14.50 = $ 304.5

357- 304.5 = $ 52.5

pants

52.5÷ 25 = 2.1

Answer:

8a + ab + 5

Step-by-step explanation:

1. a + 7a+3ab-2ab-1+6

2. combine like terms

(a + 7a) + (3ab - 2ab) + (-1+6)

8a + ab + 5

Answer:

8a + ab + 5

Step-by-step explanation:

combine like terms. like term have same variables

a and 7a  ; 3ab and (-2ab) ; (-1) and 6 are like terms

a + 7a + 3ab - 2ab - 1 + 6 = 8a + ab + 5

Answer:

hello, please listen to me. if u r giving 10 points then others are getting 5 points. so write accordingly

Answer:

Sorry I don't know this language

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

Answer:

The population in 2015 will be 165 million.

Step-by-step explanation:

The exponential growth formula is given by:

[tex] f(t) = a(1 + r)^{\Delta t} [/tex]

Where:

a: is the initial population

r: is the rate of increase

Δt: is the time        

With the initial information we can find the rate:

[tex] 151 = 145(1 + r)^{1998-1990} [/tex]      

Using logarithm:                                    

[tex] ln(151) = ln(145) + 8[ln(1 + r)] [/tex]  

[tex] ln(1 + r) = \frac{ln(151) - ln(145)}{8} [/tex]                        

[tex] ln(1 + r) = 5.0683 \cdot 10^{-3} [/tex]          

Using exponential:          

[tex] e^{ln(1 + r)} = e^{5.0683 \cdot 10^{-3}} [/tex]

[tex] r = 5.081 \cdot 10^{-3} [/tex]        

Now, we can find the estimated population in 2015:

[tex] f(t) = 151(1 + 5.081 \cdot 10^{-3})^{2015-1998} [/tex]              

[tex] f(t) = 165 [/tex]              

Therefore, the population in 2015 will be 165 million.

I hope it helps you!

Answer:

7

Step-by-step explanation:

This is because any number combind with a variable will be considered a coefficient, for example in the equation 4x-13, 4 is the coefficient.

The line that is parallel to this line will have the same slope of this line, as the two will never intersect. They will run side by side. The line y = 2x - 5 is written in slope-intercept form, which is y = mx + b. The value of m represents the slope, and in this equation m = 2. Therefore, the line we are looking for will have a slope of 2 also.

That line should also be in slope-intercept form. We now know the value of m, but we also know the value of x and y. The ordered pair (8, 10) is a point on the line, and every ordered pair is in the form (x, y). Therefore, x = 8 and y = 10. We can plug those values into y = mx + b, along with m = 2. That gives us:

10 = 2(8) + b We need to solve for b.

10 = 16 + b

b = -6

Answer:

O y = -5x + 7

Step-by-step explanation:

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

the slope of this line is -5 so the slope of a parallel line will also have to be -5

put it in point slope form:

y - - 3 = -5(x - 2)

y + 3 = -5x + 10

y = -5x + 7

9514 1404 393

Answer:

  9 square units

Step-by-step explanation:

Pick's theorem is a useful relationship in circumstances like these. It tells you the area is ...

  A = i + b/2 - 1

where i is the number of interior points (8), and b is the number of points on the border (4).

The area of this figure is ...

  A = 8 + 4/2 -1 = 9

The area of the polygon is 9 square units.

_____

You can also get there by realizing the bounding rectangle is 4 units square. From that, corner triangles are cut. CW from upper left, those triangles have (base, height) dimensions of (3, 2), (1, 3), (3, 1), and (1, 2). So, the total of their areas is (1/2)(6 +3 + 3 +2) = 7 square units. The shaded area is then 16-7 = 9 square units, same as above.

Answer:

its 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

x² - 7x - 30 = 0

x² + 3x - 10x - 30 = 0

x ( x + 3 ) - 10 ( x + 3 ) = 0

( x - 10 ) ( x + 3 )

x = 10 , -3

Answer:

-3 and 10

Step-by-step explanation:

[tex]f(x)=x^2-7x-30[/tex]

1) Factor the equation

First, find two factors of -30 which has a sum of -7.

⇒ These two factors are 3 and -10.

Then, write the equation as a product of two binomials.

[tex]f(x)=(x+3)(x-10)[/tex]

2) Find the zeros

The zero product property states that any value, when multiplied by 0 will equal 0. Therefore, in this equation, either x+3 or x-10 must equal 0 for the function to equal 0:

x+3=0

x=-3

or

x-10=0

x=10

Therefore, the zeros of the function are -3 and 10.

I hope this helps!