Solve the equation 3|2x-5|=12

Answer:

The answer is 4

Step-by-step explanation:

This is because if u add 4 to seven it equals eleven so that is ur answer.

Answer:

Functional explanations are a type of explanation offered in the natural and social sciences. In giving these explanations, researchers appeal to the functions that a structure or system has.

The people that would not be sampled would be:

We have to do this by considering the people that would be seen present in the roster of the school. The people that are dropouts as well as homeschooled cannot appear in a school register because they are not students.

The students that are sick and on the trip are all students of the high school so they can be included in the sampling that is being done by the school.

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Answer:

11480.22

Step-by-step explanation:

5.1x3.2 + 5.1x103 + 103x3.2 + 103x103

16.32 + 525.3 + 329.6 + 10609

11480.22

Using the inverse of the function from the table, the value of f⁻¹(4) is 107/3

The inverse of a function is a new function that "undoes" the original function. It reverses the mapping of inputs and outputs, allowing you to find the original input value when you know the output value.

In this problem, we have to use the table to find the original function which is f(x) and use it to find the inverse of the function;

Taking two points from the table;

m = y₂ - y₁ / x₂ - x₁

m = 0 - (-3) / -9 - (-11)

m = 3 / 20

Using the slope and one point on the table;

y = mx + x

-3 = 3/20(-11) + c

-3 = -1.65 + c

c = -3 + 1.65

c = -1.35

Putting the slope and y - intercept together;

y = 3/20x - 1.35

y = 3/20x - 27/20

f(x) = 3/20x - 27/20

Taking the inverse of the function;

f⁻¹(x) = (20x + 27)/3

To find the value of f⁻¹(4), we just need to substituting the value of x in the function;

f⁻¹(4) = (20(4) + 27)/3

f⁻¹(4) = 107/3

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The total cost paid by the senior citizen for 3 days = $50

The function representing the total cost of the annual pass is:

f(x) = 20x + 80

A senior citizen pays $20 less than half of this price for x days

The total cost paid by the senior citizen = \(\frac{f(x)}{2} -20\)

The total cost paid by the senior citizen =\(\frac{20x+80}{2} -20\)

Simplify the resulting expression:

The total cost paid by the senior citizen =10x + 40 - 20

The total cost paid by the senior citizen = 10x + 20

x represents the number of days

Substitute x = 3 into the resulting equation

The total cost paid by the senior citizen for 3 days  =10(3)+20

The total cost paid by the senior citizen for 3 days = $50

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Answer:

9.98- 2.53 = 7.45

7.68 + 13.07 = 20.75

100.03 - 16.28 = 83.75

Step-by-step explanation:

 9.98

- 2.53

_____

7.45

  1   1        - Process of carrying 10's

   7.68

+ 13.07

_______

 20.75

0000 13 ⇔ What the number becomes after carrying

↑↑↑↑↑

100.03

- 16.28

______

83.75

Happy New Year!

Answer:

4.666666667 or 4.6_ (repeating decimal)

Answer: B

Step-by-step explanation:

Answer:

1.7

Step-by-step explanation:

Answer:

1.7

Step-by-step explanation:

its common sense

Answer:

y = -2/3 x - 13/3

Step-by-step explanation:

y = -2/3 x + 3/2

y = mx + b

m = -2/3

The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.

m = -2/3

y = mx + b

y = -2/3 x + b

Substitute the given point for x and y and solve for b.

-7 = -2/3 (4) + b

-21/3 = -8/3 + b

b = -13/3

Answer: y = -2/3 x - 13/3

Answer:

Line 1: (9+x)x

Line 2: x(9 + x)

The order of multiplies changed.

This is called a Commutative Property of Multiplication.

Line 3: x(x+9)

The order of added terms within parenthesis changed.

This is called a Commutative Property of Addition.

Line-1 to Line 2- Commutative property of multiplication

Line-2 to Line-3 =Commutative property of addition

Lets solve

\(\\ \rm\longmapsto (9+x)x\)

\(\\ \rm\longmapsto x(9+x)\)

\(\\ \rm\longmapsto x(x+9)\)

\(\\ \rm\longmapsto x^2+9x\)

The solutions are:

XH ≅ SC

∠X ≅ ∠S

∠D  ≅ ∠L

DH ≅ LC

△DXH is similar to △LSC

What are similar triangles?

If two triangles have the same ratio of corresponding sides and an equal pair of corresponding angles, they are similar. When two or more figures have the same shape but differ in size, they are referred to as similar figures.

The ratio of the corresponding sides of two similar triangles is constant.

The corresponding angles are equal.

Consider △DXH and △LSC:

The corresponding side of XH of △DXH  is SC of △LSC.

The corresponding side of DH of △DXH  is LC of △LSC.

The corresponding angle of ∠X of △DXH  is ∠S of △LSC.

The corresponding angle of ∠D of △DXH  is ∠L of △LSC.

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The domain of the function or relation is {6, 9, -4 and 2}

The function is represented by the set of relation or ordered pairs

The ordered pairs in the relation are:

(x, y)  = (6, -3), (9, -3), (-4, 1) and (2, 1)

Remove the y values in the above domain

x = 6, 9, -4 and 2

The x values represent the domain of the function

Hence, the domain of the function or relation is {6, 9, -4 and 2}

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Answer:

Step-by-step explanation:

if it's

23 = 5 - (2/3)m

18 = (-2/3)m

m = 18(-3/2)

m = -27

if it's

23 = 5 - 2/(3m)

18 = -2/(3m)

18(3m) = -2

54m = - 2

m = -2/54

m = - 1/27

ANSWER:

Preserves the inequality

STEP-BY-STEP EXPLANATION:

We have the following expression:

We add -2 on both sides and we have

This is true, therefore the equality symbol remains the same

Answer:

1/4

Step-by-step explanation:

4 skittles and one being green

Answer:

4/5

Step-by-step explanation:

According to the Wrigley's Consumer Care Department, the fruit candies are produced in equal proportions— 20% of each of the five colors (green, red, orange, yellow, and purple). However, although these candies are made in equal proportions, the individual Skittles bags are filled by weight and by machines but on average I'd say 4/5 chance its a green.

Answer:

No the conditions for this test are not met, as 20% of the data has expected value less than 5. And 37.5% data is equal to 5.

Step-by-step explanation:

The conditions for the chi square test independence are

1) the sample is a random sample

2) the variable under study is categorical

3) all expected value of the number of sample observations are greater or equal to 5.

A)The observations must be independent

B) for 2 categories the expected values must be at least 5

C) for the 3 categories the expected values must be at least 1 and no more than 20% may be smaller than 5

The observations given have equal chances of occurrences or are dependent on each other.

The sample collected has 20 % of data having expected values less than 5.

And 37.5% data is equal to 5.

We cannot use a chi-square test to determine whether these two distributions differ significantly because the expected value for some cells is less than 5.

For the considered case, the sample is not large enough.

Although the sample was taken randomly and values are categorical, expected values are sometimes less than 5 for some cells of the contingency table.

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The car can go 44.25 miles on one gallon of gas

Xavier's car used 1 1/3 gallons to travel for 59 miles

The number of miles travelled on one gallon of gas can be calculated as follows

1 1/3 gallons= 59 miles

1 gallon= x

Cross multiply both sides

4/3x= 59

4x= 177

x= 177/4

x= 44.25

Hence Xavier's car can travel 44.25 miles on one gallon of gas

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Applying the intersecting secants theorem, the length of segment KL is approximately, 45.8.

According to the intersecting secants theorem, if two lines from a point outside a circle intersect the circle, then the product of the length of one line segment and its portion outside the circle is equal to the product of the length of the other line segment and its portion outside the circle.

Using the theorem, we have:

MN * MO = ML * MK

Substitute:

21 * 48 = 22 * KL

1,008 = 22KL

1,008/22 = KL

KL = 45.8 (nearest tenth)

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Answer:

its the first one

Step-by-step explanation:

Answer: $25734.4

Step-by-step explanation:

The following information can be gotten from the question:

Amount loaned = $16000

Time = 6 years

Interest rate = 8%

We then calculate the number of period that'll be used to repay the loan. It should be noted that the interest is compounded quarterly This will be:

= 4 × 6

= 24 periods

Rate per period annually will be:

= 8%/4

= 2%

The future table value will give a value of 1.6084 which will then be multiplied by $16,000 to get our answer. This will be:

= 1.6084 × $16,000

= $25734.4

The amount of money Lee would receive at the end of 6 years is $25,735.

The formula that can be used to determine the amount of money that Lee would receive at the end of 6 years is:

FV = P (1 + r)^nm

$16,000 x (1.02)^24 = $25,735

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Answer:

I think its B.) not completely sure but i think so !!!!:)

The equation in term of p that models the above experience is:
2p + 10 = 0.8p + 20.

Any statement that models or captures the factors of a problem where in an equal sign is present to equate two of the factors or expressions therein is called an equation.

Total cost of baking p pizzas with brick oven = A =  p(cost of one pizza) + cost of baking = p(2) + 10 (in dollars).

Total cost of  baking p pizzas with electric oven = B =  p(cost of one pizza) + cost of baking = p(0.8) + 20 (in dollars).

B = A - 1 (as using electric oven saves $1 per day, as given)

Thus, we get:

2p + 10 = 0.8p + 20

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The percent change in Pilar's shell collection from the beginning of the day to the end is,  22.5%

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Given that,

Pilar has 40 shells in her collection.

She collects 6 more shells in the morning and 3 more shells in the afternoon.

The percent change in Pilar's shell collection from the beginning of the day to the end = ?

At the beginning of the day, Pilar has 40 shells.

In the morning, she collects 6 more shells, bringing her total to

= 40 + 6

= 46 shells.

Then, in the afternoon, she collects 3 more shells, bringing her total to

=46 + 3

= 49 shells.

To find the percent change in Pilar's shell collection from the beginning of the day to the end, we can use the formula:

percent change = (final value - initial value) / initial value * 100%

Plugging in the values we have:

percent change = (49 - 40) / 40 x 100%

percent change = 9 / 40 x 100%

percent change = 22.5%

Therefore, there is a 22.5% increase in Pilar's shell collection from the beginning of the day to the end.

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Answer:

A = $174,742.21

A = P + I where

P (principal) = $100,000.00

I (interest) = $74,742.21

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 100,000.00(1 + 0.08/12)(12)(7)

A = 100,000.00(1 + 0.006666667)(84)

A = $174,742.21

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $100,000.00 at a rate of 8% per year compounded 12 times per year over 7 years is $174,742.21.

Answer:

She will need a time of 1024 units to complete the 10th station.

Step-by-step explanation:

A. As the quotient between consecutive terms is the same, the data is a geometric sequence.

B. The recursive formula is:

C. She will need a time of 1024 units to complete the 10th station.

In a sequence, if the difference between consecutive terms is the same, the sequence is arithmetic.

If the quotient between consecutive terms is the same, the sequence is geometric.

Item a:

When x increases by 1, y is multiplied by 2, hence, as the quotient between consecutive terms is the same, the data is a geometric sequence.

Intersection of B'∩C = {k, y}

To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.

1. Complement of set B (B'):

The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.

2. Intersection between B' and C:

Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.

The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.

So, the answer to (b) is B'∩C = {k, y}.

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