What is the augmented matrix solution?

The numeric value of the b is 0.23 which satisfy the given equation.

According to the statement

We have to find that the value of the b.

So, For this purpose, we know that the

The numeric value refers to the worth of each digit depending on where it lies in the number.

From the given information:

The equation is a

3(2b + 3)² = 36

then to find the value of b rearrange the terms then

(2b + 3)² = 12

(2b + 3) =  \sqrt{12}

(2b) =   \sqrt{12}  -3

then

b  = \sqrt{12}  -3/ 2

b = 3.46 - 3/2

b = 0.46/2

b = 0.23.

So, The numeric value of the b is 0.23 which satisfy the given equation.

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Answer:

18 gallons

Step-by-step explanation:

Start with x gallons of 70% juice and 18 gallons of 30% juice.

Result: x + 18 gallons of 50% juice

0.7x + 0.3 × 18 = (x + 18)(0.5)

0.7x + 5.4 = 0.5x + 9

0.2x = 3.6

x = 18

Answer: 18 gallons

Answer:

B. y = -1/4x + 2

Step-by-step explanation:

The slopes of two perpendicular lines are negative reciprocals of each other. So slope is -1/4

Using m = -1/4, y =4, x = -8

y = mx + b

4 = -1/4(-8) + b

4 = 2 + b

b = 2

so y = -1/4x + 2

The scale used by Wyatt is; 11 inches : 4 yards.

Now, for the given values in question.

For the area of picnic is 84 yards.= long.

The length in the drawing is 31 inches.

Let the scale for yards is 'x'.

Then;

231 inches: 84 yards = 11 inches: x yards

Write in the fraction form,

231/84= 11/x

Cross multiplying;

x = (11×84)/231

x = 4

Thus, scale becomes; 11 inches : 4 yards.

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Answer:

168

Step-by-step explanation:

You'd plug 6 in for x

f(x) = 24x + 24

f(6) = 24(6) + 24

f(6) = 144 + 24

f(6) = 168

Answer:

Step-by-step explanation:

We need to remove either (1, 4) or (1, 1) to create a function.

Relations are formed by two sets, an input set known as domain and an output set known as range and relationships between these sets. A relation is a function if and only if each element from domain is related to only one element of the range. Mathematically speaking, we must satisfy the following proposition:

x → f(x), x → f'(x) ⇒ f(x) = f'(x)

Based on this definition, there are two possibilities to create a function:

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1,3 is the answer I believe. :)

24 is the median number because it is found to be at the Middle of all digits

Answer:

32

Step-by-step explanation:

There is nothing this but the answer is 32.

Answer:

f(-7) = -15

g(-3) = 27

Step-by-step explanation:

We see that the functions defined are:

f(x) = 2x - 1

AND

g(x) = 2x^2 - 3x

This problem asks to find f(-7) and g(-3). To find this, we have to plug the respective numbers into the respective functions.

f(-7) = 2 (-7) - 1

f(-7) = - 14 - 1

f(-7) = -15

g(-3) = 2(-3^2) - 3(-3)

g(-3) = 2(9) + 9

g(-3) = 18+9

g(-3) = 27

FINAL ANSWER: f(-7) = -15, g(-3) = 27

Answer:

  No

Step-by-step explanation:

You want to know if angles -345° and 2185° are coterminal.

Angles are co-terminal when their terminal sides are coincident. Each angle will have the same measure modulo 360°.

  -345° / 360° = -1 remainder 15°

  2185° / 360° = 6 remainder 25°

These angles have different values, modulo 360°, so are not co-terminal.

The likelihood of any two different face values occurring exactly twice is 0.0475.

Describe probability using an example?

Two pairs

two pairs = 13C2 *4C2 * 4C2 * 11C1 * 4C1 = 123552

P( two pairs) = 123552/2598960 = 0.0475

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The complete question is -

In a poker game, five cards are dealt at random from an ordinary deck of 52 playing cards. Find the probability of gettingtwo pairs (any two distinct face values occurring exactly twice)

The solution of the equation for h is H = 2a/(B1 + B2)

Expressions are mathematical statements that are represented by variables, coefficients and operators

The equation is given as

a=H(B1 + B2)/2

The above means that the variable h is represented by the variable H

Multiply both sides of the equation by 2

So, we have

2a = H(B1 + B2)

Divide both sides of the equation by (B1 + B2)

H = 2a/(B1 + B2)

Hence, the solution of the equation for h is H = 2a/(B1 + B2)

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Answer:

There are 160 boys and 200 girls

Step-by-step explanation:

its a proportion

Answer:

1/48 should be added.

Step-by-step explanation:

If you add 9/16 to -7/12 you will get -1/48. Then do -7/12 + 1/48 and it will give you 9/16.

By factor theorem and limits, it is found that the end behavior of g(x) is that it goes to negative infinity.

The values of x and g(x) are

x    –4 –1  0  1     5 8 12

g(x) 0  –3  –1  –2 0 3 0

We need to find the end behavior of g(x).

The Factor Theorem states that a function with leading coefficient a and zeros x1,x2,x3...xn  is defined by:

g(x)=(x-x1)(x-x2)(x-x3)..(x-xn)

By definition of factor theorem,

g(x)=a(x-(-4))(x-12)

g(x)=a(x+4)(x-12)

g(x)=a(x2-8x-48)

The end behavior is the limit of g(x) as x goes to infinity, thus:

lim[tex]lim \lim_{x \to \infty} g(x)= \lim_{x \to \infty} ax^{2} =a*\infty[/tex]

Since the leading coefficient a is negative:

a*infinity= - infinity

Thus the end behaviour of g(x) it goes to negative infinity.

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The different expressions to represent three groups of five are 3 * 5, 5 + 5 + 5 and 3 + 3 + 3 + 3 + 3

The mathematical statement is given as:

three groups of five

The statement three groups of five means

Three multiplied by 5

i.e. 3 * 5

This can also be written as

5 + 5 + 5

Also, it can be expressed as

3 + 3 + 3 + 3 + 3

Hence, the different expressions to represent three groups of five are 3 * 5, 5 + 5 + 5 and 3 + 3 + 3 + 3 + 3

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Answer:

a = 10/3 and b = -196/51.

Step-by-step explanation:

4a + 2b - 12ax + 15b = -40x - 52

Equating coefficients of x:

-12ax = -40x

-12a = -40

a = 40/12

  = 10/3.

Equating constants:

4a + 2b + 15b = -52

4a + 17b = -52

Substituting a = 10/3:

40/3 + 17b = -52

17b = -52 - 40/3

b = (-52 - 40/3) / 17

  = (-156/ 3 - 40/3) / 17

  = -196 / 51

Answer:

4 1/6

Step-by-step explanation:

Dave eats 3 3/6

Daisy eats 4/6

Together they eat 3 1/6

First you have to make it to a common denominator for Dave and Daisy. then you add the fractions.

4 full pizzas plus 1/6 of a pizza

i.e. 4 full pizzas plus one extra slice

======================================================

Explanation:

1/2 = 3/6

2/3 = 4/6

The fractions add to 1/2 + 2/3 = 3/6 + 4/6 = 7/6 = 1 & 1/6

That first "1" is the carry and it adds to the 3 whole pizzas Dave ate. So we have 3+1 = 4 full pizzas consumed, plus an additional 1/6 of a pizza.

This gives the mixed number 4 & 1/6

Check out the diagram below. I show Dave's slices in blue, and Daisy's slices in pink for the first two rows. The third row is the combination of those slices to get 4 full pizzas and 1 extra slice (to represent that extra 1/6). Let me know if you have questions about the diagram, or the steps in general.

1234567890123456789012345678901234567890

The Interquartile Range (IQR) is the appropriate measure of variation for the given data points. Q1 and Q3 are 2 and 5 respectively.

The IQR is a method that gives the value of data at the 25th and 75th percentile. Alternatively, it gives the average of the two values which are nearest to these two percentiles, in case a single value does not exist. These values are called Q1 and Q3.

Because these values are less impacted by outliers than the standard deviation, it is best to use them with skewed data.

For the given data points,  Q1 and Q3 are 2 and 5 respectively. Q1 is the average of 5th and 6th values. Q3 is the average of 15th and 16th values.

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The Interquartile Range (IQR) is the appropriate measure of variation for the given data points. Q1 and Q3 are 2 and 5 respectively.

The IQR is a method that gives the value of data at the 25th and 75th percentile. Alternatively, it gives the average of the two values which are nearest to these two percentiles, in case a single value does not exist. These values are called Q1 and Q3.

Because these values are less impacted by outliers than the standard deviation, it is best to use them with skewed data.

For the given data points,  Q1 and Q3 are 2 and 5 respectively. Q1 is the average of 5th and 6th values. Q3 is the average of 15th and 16th values.

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The exponential smoothing forecast for next period is 63.2.

A time series forecasting technique called exponential smoothing can be expanded to support data with a systematic trend or seasonal component.

Now,

Given:

To find: Simple exponential smoothing forecast with α = 0.4 for next period.

Finding:

Now, by the concept of exponential smoothing, forecast for next period will be given by:

Ft + 1  = α Dt + (1 - α)F,

where,

Ft+1 = the next forecast,

α = weighing factor,

Dt = actual value for this period,

F = forecast value for the current period,

Substituting the values in the above expression:

=> Ft + 1 = 0.4 (65) + (1 - 0.4) 62

=> Ft + 1 = 26 + 37.2

=> Ft  + 1 = 63.2

Hence the exponential smoothing forecast for next period is 63.2.

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The indicated function value is f(6²) = -72

The function definitions are given as

f(x) = -2x

g(x) = 2x+ 5

h(x) = x^2 + 3x - 10

The function f(6²) means that x = 6² in f(x)

So, we have

f(6²) = -2(6²)

Evaluate

f(6²) = -72

Hence, the indicated function value is f(6²) = -72

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160.55 is  the difference. i underlined each number i added on each line.

What is an linear equation in math?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.

The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

The two numbers are 15.75 and 176.3

First we will compare the numbers.

1. A=176.3

2. B=15.75

one's place of A is greater than once place of B.

tens place of A is greater than tens place of B.

Hundred place of A is greater than hundred place of B.

So, A>B

So  we will subtract 15.75 from 176.3.

176.30 -15.75=

176.30     ----A

- 1 5.75     ----B

Hundreths place of A - Hundreths place of B =  0-5=10-5=5

Tenth place of A  - Tenth place of B =12-7=5

ones place of A - ones place of B=5-5=0

Tens place of A - Tens place of B =7-1=6

So the solution is 160.55

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The number of bills received by brady family are 781.

A linear equation is a one-variable equation of a straight line. The variable's only power is 1. Linear equations in one variable with the form an x + b = 0 are solved utilizing basic algebraic operations.

Let x equal the number of letters obtained,

(x - 3) equal the number of bills obtained,

(x + 5) equal the number of advertisements received, and also

the number of magazines did receive is also given (x - 3).

The following equation can be derived:

x + (x - 3) + (x + 5) + (x - 3) = 3131

4x - 1 = 3131

4x = 3132

x = 784

Thus, number of bills received are-

(x - 3) = 784 - 3

number of bills received = 781.

Therefore, the number of bills obtained by brady family are 781.

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The mean of the data given 4, 8,5, 13, 3, 4, 1, 10 shows number of shark attacks over 8 different states is 6.

As given,

Number of different states 'n'= 8

Number of sharks attacks for 8 different states

[tex]x_{i}[/tex] = 4, 8,5, 13, 3, 4, 1, 10

Mean = [tex]\frac{\sum x_{i} }{n}[/tex]

         = (4+ 8+ 5 + 13 + 3 + 4 + 1 + 10) /8

         =48 /8

         =6

Therefore, the mean of the data given 4, 8,5, 13, 3, 4, 1, 10 shows number of shark attacks over 8 different states is 6.

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Answer: 16.0 is the correct answer

Step-by-step explanation:

Answer:

4c + 35

Step-by-step explanation:

What every the monthly amount is (c) you would multiply that by 4 to find the cost for 4 months and then you have to add in the one time cost of 35

DG = 60

Therefore,[tex]4x - 3 + 2x + 21 = 60[/tex]

→[tex]6x+18 = 60 \\ 6x = 60 - 18[/tex]

→[tex]6x = 42[/tex]

Divide both sides by 6

→[tex]x = 7[/tex]

DO =[tex]4x - 3 [/tex]

→[tex]4(7) - 3 \\ 28 - 3[/tex]

DO [tex]= 25[/tex]

OG [tex]= 2x + 21[/tex]

→[tex]2(7) + 21 \\ 14 +21[/tex]

OG [tex]= 35[/tex]

Therefore:

[tex]x = 7[/tex]

[tex]DO = 25 ft[/tex]

[tex]OG = 35 ft[/tex]