Which of the following describes the solution to a system of linear inequalities?
A. The soultion is the region where both shaded parts overlap.
B. The solution is everything on the shaded graph.

An expression is defined as a set of numbers, variables, and mathematical operations. The value(s) for which the rational expression (10w−5)/(2w²+11w+5) is undefined is -1/2 and -5.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value for which the function will not be defined is the value of w which will make the denominator of the rational function zero. This values can be found by factorizing the denominator of the function. Therefore,

2w² + 11w + 5 = 0

2w² + 10w + 1w + 5 = 0

2w(w+5) + 1(w+5) = 0

(2w+1)(w+5) = 0

w = -1/2 , -5

Hence, the value(s) for which the rational expression (10w−5)/(2w²+11w+5) is undefined is -1/2 and -5.

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Answer:

5 538 163

Step-by-step explanation:

convert 5547 g to mg

5547×1000=5547000mg

5547000mg-8837mg= 5 538 163mg

Answer:

5538.2

Step-by-step explanation:

convert 8837mg to g

8.8

minus that from 5538=

5538.2

Answer:

20

Step-by-step explanation:

60%

Answer: 5/2

Step-by-step explanation:

Answer:

Label ELabel E

Step-by-step explanation:

Label ELabel ELabel k

Answer:

the area for

a=16pi or 50.26548...

b=64pi or 201.061329...

c= 169pi or 530.929158...

d=100pi or 314.159265

d is 19.7392088... or 6.25pi times greater than a

Step-by-step explanation:

the decimal values are more accurate for the d is greater than circle a

so you start with a=4 in radius then b=a+4, c=b+5, d=c-3

then solve the equation a=4, b=8, c=13, d=10

then you solve for the area using the formula radius squared pi

getting the answers above

as for the second answer you would divide d to a getting the amount of times more above for circle d and circle a

Answer:

130

Step-by-step explanation:

We need to keep adding 13 together until we have done this 10 times :)

10%: 13

20%: 26

30%: 39

40%: 52

50%: 65

60%: 78

70%: 91

80%: 104

90%: 117

100%: 130

Have an amazing day!!

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Answer:

  B.  21 miles

Step-by-step explanation:

The shortest overall route will be the sum of the shortest routes between way points.

The shortest route from the High School to the Airport is the direct route, 15 cm on the map. The shortest route from the Airport to Jill's house is via the High School and City Hall, a total of 15+12+21 = 48 cm on the map.

The shortest distance Jill can travel from work to home via the airport is ...

  (15 cm +48 cm)/(3 cm/mi) = 21 miles

Answer:

person above is correct it is 21

Answer:

59.5 here 4 minute late but i hope it helps

Step-by-step explanation:

Answer: The number in the tenth's place is 5

Step-by-step explanation:

There is no ones place in decimals

41.53

the tenth's place come first then the hundredth's and so on.

Answer:

5

Step-by-step explanation:

4 = tens

1 = ones

.

5 = tenths

3 = hundredths

Answer:

D, the last prism, with a volume of 512cm^3

Step-by-step explanation:

A: 5 x 7 x 12 = 420

B: 8.5 x 11 x 3 = 280.5

C: 3 x 13 x 11 = 429

D: 8 x 8 x 8 = 512

512 is the biggest. D.

Please let me know if I mis-read any of the numbers - it's quite hard to see.

If you need further explanation, let me know!

- profparis

Answer:

270

Step-by-step explanation:

from web

The value of n is 3, value of m is 2 and the value de m + n + p is -2.

In this question we must analyze a null polynomial and determine three unknown variables. A null polynomial is those whose coefficients are equal to zero.

Therefore, we must resolve the following system of linear equations:

3 · n - 9 = 0   (1)

m - 2 = 0       (2)

p + 7 = 0       (3)

The solution of this system of linear equations is: n = 3, m = 2, p = -7. The value of n is 3, value of m is 2 and the value de m + n + p is -2. [tex]\blacksquare[/tex]

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Answer:

z = 58

Step-by-step explanation:

Since SU is a midsegment of QRT, the length of SU is one-half the length of RQ.

[tex] \frac{1}{2} (z - 40) = z - 49[/tex]

[tex]z - 40 = 2z - 98[/tex]

[tex]z = 58[/tex]

Answer:

"4 or less, let it rest. 5 or more, raise the score."

Step-by-step explanation:

1) 5.57, 5.62, 5.59

2) 2.349, 2.352, 2.346, 2.354

3)

0.7

0.3

1.5

3.4

4)

3.74

0.93

0.33

1.56

I hope this helps! Have a lovely day!! :)

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the lcm would be 79380

Step-by-step explanation:

5×7×7

2×2

×3×3×3×3

muliply all the 3 numbers and then you get 79380

Answer: x-3

Step-by-step explanation:

It’s a variable

Answer:

A

Step-by-step explanation:

The answer is (-3,0) which is A.

Answer:

A

Step-by-step explanation:

Answer:

x=14

Step-by-step explanation:

According to Thales' theorem, the triangle inside 6,7,8 is similar to the triangle 12,x,16:

[tex]\frac{12}{6}= \frac{16}{8} =\frac{x}{7} =2[/tex]

[tex]x=7(2)=14[/tex]

Hope this helps

Step-by-step explanation:

wrong question or incomplete question

Answer:

a.  up 1 unit

Step-by-step explanation:

f(x) + k will translate the function up k units

f(x) - k will translate the function down k units

f(x-h) will translate the function right h units

f(x+h) will translate the function left h units

Answer:

Step-by-step explanation:

We want to model the growth of a population of bacteria using an exponential function. We find it convenient to use an "exact" exponential function that relies directly on the numbers given in the problem statement. That function has the form ...

  p(t) = (initial population) × (growth factor)^(t/(growth period))

where the "growth factor" is the multiplying factor of the population in period "growth period."

__

Here, the "growth factor" is 4800/4000 = 1.2, and the corresponding "growth period" is 5 hours. Then the population function can be ...

  p(t) = 4000×1.2^(t/5)

__

The population after 15 hours is ...

  p(15) = 4000×1.2^(15/3) = 4000×1.728

  p(15) = 6912

__

To change this to the form ae^(kt), we find the value of k to be ...

  k = ln(1.2^(1/5)) = ln(1.2)/5 ≈ 0.036463

Then the desired form of the function for p is ...

  p(t) = 4000·e^(0.036463t)

_____

Additional comment

In the form p=ae^(kt) the value of k is often rounded to 3 or 4 decimal places. We believe that best accuracy is obtained if k has at least the number of significant digits expected in the answer. Here, the population of almost 7000 has 4 significant digits, so we choose to express k to 5 significant figures. That still gives a small error relative to the first formula that is only "corrected" by rounding the result to an integer.

Answer:

82.8

Step-by-step explanation:

multiply the 2

1 2

6.9

9×2=18

9×1=9

10.8

72.0

____

82.8

Answer:

base = 3

Step-by-step explanation:

The area of triangle is calculated using the following formula:

1/2*b*h (b: base, h: height)

The area and height is given, to find the base we can make the following equation:

1/2*b*9 = 54

9b/2 = 54 multiply both sides by 2

9b = 27 divide both sides by 9

b = 3

Jonathan will need a warping paper of 420.78m^2

Data;

To find the amount of warping paper used, we can use the formula of surface area of an equilateral triangle since the triangle used here is an equilateral triangle.

[tex]Surface Area = base area + \frac{1}{2}(perimeter * slant height)[/tex]

Let's calculate the base area and perimeter of the triangle.

base area of an equilateral triangle is given as

[tex]B.A = \frac{\sqrt{3} }{4} a^2[/tex]

Let's substitute the value and solve

[tex]B.A = \frac{\sqrt{3} }{4} a^2\\B.A = \frac{\sqrt{3} }{4}*10.39^2\\B.A = 46.74m^2[/tex]

The base area is 46.74m^2

Let's calculate the perimeter of the triangle

[tex]P = 3a\\[/tex]

Substitute the value into the equation and solve

[tex]P = 3a \\P = 3 * 10.39\\P = 31.17m^2[/tex]

We can proceed to substitute the values of the base area and perimeter of the triangle into the formula of the surface area of an equilateral triangle.

[tex]S.A = base area + \frac{1}{2}(perimeter * slant height)\\S.A = 46.74 + \frac{1}{2}(31.17*12)\\S.A = 46.74 + 374.04\\S.A = 420.78m^2[/tex]

The surface area of the equilateral triangle is 420.78m^2

Jonathan will need a warping paper of 420.78m^2

Learn more on surface area of an equilateral triangle here;

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Answer:c

Step-by-step explanation:

Answer:

  III

Step-by-step explanation:

The signs of both x and y are negative in the 3rd quadrant.

__

x-values are negative in the left half-plane.

y-values are negative in the bottom half-plane.

Both coordinates are negative in the lower-left quadrant, number III.

Answer:

2x + 1 = x + 5

x = 5-1

x = 4

Step-by-step explanation:

Answer:

so q1  is 686       q2 is  852         q3 is 966

Step-by-step explanation:

hope this helps

Step-by-step explanation:

this is very simple.

you can compare this to the question "in my bag are 70 pieces of fruit. 30 of them are apples. how many pieces of other fruit are there ?"

well, it is 70 - 30 = 40 !

that's it ! that is all there is to it.

so, q = 40°

what is still unclear, please ?

Answer:

see explanation

Step-by-step explanation:

look photo

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The given pair of angles form linear pair, therefore their sum is equal to 180°

that is :

[tex]\qquad \sf  \dashrightarrow \:2(x - 26) + 3x + 2 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:2x - 52 + 3x + 2 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:5x - 50 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:5x = 230[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 46 \degree[/tex]

Have a great day ~