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Solve by completing the square. You need to use the area model/
method we learned in class and show ALL WORK, or you won't receive
credit.

Given:

The inequality is

[tex]3(q+6)>11[/tex]

To find:

The inequality that has the same solution set as the given inequality.

Solution:

We have,

[tex]3(q+6)>11[/tex]

Using distributive property, we get

[tex]3(q)+3(6)>11[/tex]

[tex]3q+18>11[/tex]

Since the given inequality can be rewritten as [tex]3q+18>11[/tex], therefore the inequality [tex]3q+18>11[/tex] has the same solution set as [tex]3(q+6)>11[/tex].

Hence, all options are incorrect. The required inequality is [tex]3q+18>11[/tex].

Answer:

3q+18 > 11

Step-by-step explanation:

Answer:

The odds of rolling a 3 on a 6-sided number cube is 1 out of 6. The odds of rolling a 3 on either of two 6-sided cubes are 1/3. This is because 1/6 * 2 = 1/3. Therefore, an average of one-third of rolls will have a 3 in them. 1/3 expressed as a decimal is .3 repeating (.3333333 etc) and that rounds to 33 which is less than 34.

Step-by-step explanation:

Answer:

it is rational cause it can be turned into a fraction 0.7= 7/10

Answer:

[tex]x\geq 4y\\y\leq \frac{x}{4}[/tex]

Answer:

P-value = 0.0046  

Step-by-step explanation:

Given that:

Sample size n = 290

sample mean [tex]\overline{x_1}[/tex] = 4.1

standard deviation [tex]\sigma[/tex] = 0.6

population mean [tex]\mu[/tex] = 4.2

The null and the alternative hypothesis

[tex]\mathbf{H_o: \mu = 4.2} \\ \\ \mathbf{H_a: \mu \ne 4.2}[/tex]

This is a two-tailed test.

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z = \dfrac{4.1 - 4.2 }{\dfrac{0.6}{\sqrt{290}}}[/tex]

[tex]Z = \dfrac{-0.1 }{\dfrac{0.6}{\sqrt{290}}}[/tex]

Z = -2.838

P-value = P(Z> 2.838)

P-value = P(Z< -2.838) +P(Z > 2.838)

P-value = 0.00227 + (1 - 0.9977)

P-value = 0.00457

P-value = 0.0046      (to 4 decimal places)

Answer:

13.5 and 7

Step-by-step explanation:

x + y = 20.5

x - y = 6.5

Hence,

x = 20.5 - y

20.5 - 2y = 6.5

Hence,

2y = 14

y = 7

and x = 20.5 - y = 20.5 - 7 = 13.5

The two numbers are are 13.5 and 7.

a + b = 20.5 equation 1

a  - b = 6.5 equation 2

Where a and b represents the two numbers

In order to determine the value of b, subtract equation 2 from 1

2b = 14

Divide both sides by 2

b = 7

Substitute for b in equation 1

a + 7 = 20.5

a = 20.5 - 7

a = 13.5

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

Answer:

[tex]a = 8[/tex] and [tex]b = 2[/tex]

Step-by-step explanation:

Given

[tex]\sqrt[3]{x^{10}}[/tex]

[tex]x = -2[/tex]

Required

Express as: [tex]a\sqrt[3]{b}[/tex]

Substitute -2 for x in [tex]\sqrt[3]{x^{10}}[/tex]

[tex]\sqrt[3]{x^{10}} = \sqrt[3]{(-2)^{10}}[/tex]

[tex]\sqrt[3]{x^{10}} = \sqrt[3]{1024}[/tex]

Express 1024 as 2^10

[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{10}}[/tex]

Apply law of indices:

[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9+1}}[/tex]

Apply law of indices: Split

[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9}*2^1}}[/tex]

[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9}} *\sqrt[3]{2^1}}[/tex]

[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9}} *\sqrt[3]{2}}[/tex]

[tex]\sqrt[3]{x^{10}} = 2^{9*\frac{1}{3}}} *\sqrt[3]{2}}[/tex]

[tex]\sqrt[3]{x^{10}} = 2^3 *\sqrt[3]{2}}[/tex]

[tex]\sqrt[3]{x^{10}} = 8\sqrt[3]{2}}[/tex]

By comparison:

[tex]a = 8[/tex] and [tex]b = 2[/tex]

Answer:

a=-8 and b=-2

Step-by-step explanation:

Edge

Answer:

48p2+4p-4

Step-by-step explanation:

Answer:

48p² +4p -4

Step-by-step explanation:

A polynomial of two terms is called a 'binomial'.

Here, we are multiplying 2 binomials.

This is so common, there is a standard way to do it. The method is called FOIL, which means "firsts, outsides, insides, then lasts"

You do it like this:

multiply the 'first terms' of each binomial                           -->  8p*6p = 48p²

multiply the 'outside' terms, far left and far right                 -->  8p*2 = 16p

multiply the 'inside' terms, the two terms in the 'middle'    -->  -2*6p = -12p

multiply the 'last' terms of each binomial                              -->  -2 * 2 = -4

Add 'like' terms: 48p² + (16p - 12p) -4

Answer --->  48p² +4p -4

Answer:

$0.96

Step-by-step explanation:

You will pay $0.96 for a item with original price of $2.40 when discounted 60%. In this example, if you buy an item at $2.40 with 60% discount, you will pay 2.40 - 1.44 = 0.96 dollars.

Hope this helps

Answer:

what kanguage s this?!!

Step-by-step explanation:

Using probability concepts, it is found that:

a) 0.43 = 43% probability that the patient experiences neither depression nor weight gain.

b) 0.3929 = 39.29% probability that the patient experiences depression given that the patient experiences weight gain.

c) 0.275 = 27.5% probability that the patient experiences weight gain given that the patient experiences depression.

d) No.

e) No.

---------------------

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]  

----------------------

Item a:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.4 + 0.28 - 0.11 = 0.57[/tex]

[tex]p = 1 - P(A \cup B) = 1 - 0.57 = 0.43[/tex]

0.43 = 43% probability that the patient experiences neither depression nor weight gain.

Item b:

[tex]P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{0.11}{0.28} = 0.3929[/tex]

0.3929 = 39.29% probability that the patient experiences depression given that the patient experiences weight gain.

Item c:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.11}{0.4} = 0.275[/tex]

0.275 = 27.5% probability that the patient experiences weight gain given that the patient experiences depression.

Item d:

[tex]P(A \cap B) \neq 0[/tex], thus, the events are not mutually exclusive.

Item e:

A similar problem is given at https://brainly.com/question/21421475

Answer:

Rounded to the nearest integer, at that time there were about 51,493,684 mortgages in the UK market.

Step-by-step explanation:

Given that in February 2019, 195,676 mortgages were outstanding in the UK, which represented 0.38% of all mortgages, to determine how many total mortgages were in the UK market at that time the following calculation must be performed:

0.38 = 195.676

100 = X

(100 x 195,676) / 0.38 = X

19,567,600 / 0.38 = X

51,493,684.21 = X

Thus, rounded to the nearest integer, at that time there were about 51,493,684 mortgages in the UK market.

Answer:

$1881.25

Step-by-step explanation:

Final cost of the computer

[tex] = 1750 + 7.5\% \: of \: 1750 \\ \\ = 1750 + 0.075 \times 1750 \\ \\ = 1750 + 131.25 \\ \\ = \$ 1,881.25[/tex]

Answer:

Step-by-step explanation:

1/6 + 1/9 = 3/18 + 2/18 = 5/18

5/18 of the punch is either pineapple or orange.

The fraction that represents pineapple juice or Orange juice is 11/30

A common fraction is a numeral that represents a rational number. A fraction is a part of a whole.

Given here pineapple juice is  1/6 of a fruit punch and orange juice is  1/9 of the punch. Let the whole punch is equal to x then  

pineapple juice =( 1/6) × x and Orange juice = (1/9 )× x

Hence the total of the pineapple juice and orange juice is                    ( =1/6) × x + (1/9 ) × x

=11x/30

Now this total expressed as part of the whole is 11x/30 / x = 11/30

Hence, the final answer is equal to 11/30

Learn more about fractions here:

https://brainly.com/question/10354322

#SPJ5

Answer:

37 Degree celcius; is the correct answer...

Answer: I would believe all you have to do is round up making the number 658 lad :)

Step-by-step explanation:

Have a good day :)

Stay safe and stay awesome :D

Answer:

look at the picture i sent.......

Answer:

22 feet (if the distance is in feet, and the time in seconds)

Step-by-step explanation:

t = time

d = distance

To see if the mouse's distance is proportional to the time, you divide the distance with the time:

[tex]t_{3}[/tex] = 4

[tex]d_{3}[/tex] = 44

44 / 4 = 11

[tex]t_{4}[/tex] = 6

[tex]d_{4}[/tex] = 66

66 / 6 = 11 (the same as with 44 / 4. This means that the mouse distance and time is proportional)

Every second the mouse travels 11 feet.

And every other second the mouse travels 22 feet. (since (1, 11)*2 = (2, 22))

That may have been confusing, and if you have any questions, don't be afraid to ask them in the comments below!

Have a good day!

Answer:

increases by 22

Answer:

-13

Step-by-step explanation:

Answer:

180-140=a

180-90=b

180-a-b= your ans

Answer:

-6y

Step-by-step explanation:

6 - 12 = -6

-6 * y = -6y

Hope this helps :)

Answer:

6y-72

Step-by-step explanation:

Answer:

it's answer is C. 12/10 = 4 / x

Step-by-step explanation:

As the triangles are similar so

4/12 = x/10

Or cross multiply then

12/10 = 4/x

Hope it will help :)

Answer:

the answer is 0

Step-by-step explanation:

hoped I helped:)

Answer: 2 1/2

Step-by-step explanation:

Answer:

5 %

Step-by-step explanation:

Answer:

The​ y-intercept is 663 and the slope is 13.56.Thus, the equation for the trend line is y = 13.56x + 663

Step-by-step explanation:

After one​ hour, her altitude will be

1476.60 feet above sea level.                  that was only if u get a part b

Answer:

The median is 5, mode is 5, and range is 12

Step-by-step explanation:

Answer:

MEDIAN - 5

MODE - 2 (4times)

RANGE - 13-1=12 (12 is the range)

Step-by-step explanation:

MEDIAN - Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

MODE - The mode is the element that occurs most in the data set. In this case, 2 occurs 4 times.

RANGE - Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 13-1=12