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The retail cost of a TV is 10% more than its wholesale cost. Therefore, the retail cost is
The retail cost is
times the wholesale cost.

We have

We will substitute the values given

x=6 y=1

we solve the operations in order to obtain the result

the answer is 49

If we have 45.4 cups of batter, we can make 181 pancakes using unitary method.

The unitary approach is a technique for problem-solving that involves first calculating the value of a single unit, then multiplying that value to figure out the required value.

Given Data

28 cups of batter to make 112 pancakes

To make 1 unit

28 cups of batter = 112 pancakes

1 cup of batter = 4 pancakes

If we have 45.4 cups of batter, we can make,

1 cup of batter = 4 pancakes

45.4 cup of batter = 45.4(4)

45.4 cup of batter = 181 pancakes ( approximately )

If we have 45.4 cups of batter, we can make 181 pancakes using unitary method.

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Ok

y = 2/5x

ok

a) y = 2/5(14)

y = 28/5

y = 5.6 the first one is not an order pair

b) y = 2(30)/5

y = 60/5

y = 12 the second one is an order pair

c) y = 2/5(50)

y = 100/5

y = 20 the third one is an order pair

d) y = 2/5(10)

y = 20/5

y = 4 the four one is an order pair

e) y = 2/5(40)

y = 80/5

y = 16 the fifth one is not an order pair

f) y = 2/5(25)

y = 50/5

y = 10 the sixth one is not an order pair.

The solutions are (30, 12), (50, 20) and (10, 4)

the initial expression is:

So this equation has already one solution

Now if we want to have infinit solution we an rest 3x so:

So x can have any value, so there are infinit solutions

And to have no solutions we can add 5 -y at the left an

xplanation:

Step 1. e are given the following zeros of a polynomial function.

- 1 with a multiplicity of two, which means that is a zero two times:

and the other two zeros are:

And we need to find the equation that has these four zeros.

tep 2. 2R

tep 3. S

tep 4. S

tep 5. T

Then, let's multiply the second and third parentheses:

Multiple terms cancel and the result is:

tep 6. TT

Combining like terms:

This is shown in option D.

Answer:

D

Using the continuity concept, it is found that the function is continuous on the following interval:

C. (0, 1).

A function f(x) is continuous at x = a if it is defined at x = a, and the lateral limits are equal, that is:

[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]

In the context of this problem, the numeric values are especially relevant, as the function not continuous at the zeros of the denominator.

The denominator of the function is given as follows:

(x² - 2)(x + 0.4).

Hence the discontinuity points are:

Hence the only interval in which the function is continuous over the entire interval is given by option C.

The function and the possible options are given by the image at the end of the answer.

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The equation is  y=5x+16.

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Answer:

He would have $235

Step-by-step explanation:

If Tom worked 28 hours and earned $9 per hour he would have 252 dollars. Then if he spent $17 dollars he would have $235

Answer:

235

Explanation:

If Tom worked 28 hours last month, and his hourly rate is $9.

Start by multiplying 9 times 28. 9 × 28 = 252

Faster way I do the math is in my head, what is 9*3=27, Add a zero 9×30=270. 30-2=28;2×9=18, Subtract 270-18=252...

Tom spent $17 of his earnings, $252-$17=$235

Savannah's grade percentage in the class so far is 92.28%.

Percentage is a measure of frequency that is used in mathematics. The sign that represents percentage is %. In order to convert a number to percentage, multiply the fraction of that amount by 100 or by the given percentage.

Savannah's grade percentage can be determined by adding her percentage score in each component that makes up the total grade.

Percentage score in quizzes = (score obtained / maximum score) x percentage allocated to quizzes

(118 / 150) x 15% = 11.80%

Percentage score in the three exams = (average of the three scores / maximum score) / percentage allocated to exams

Average of the three scores = (73+ 89 + 97) / 3 = 86.33

(86.33 / 100) x 55% = 47.48%

Percentage score in the project = (score in the project / maximum points) x percentage allocated to project

(28 / 25) x 25% = 28%

Percentage score in attendance = 5%

Total grade percentage so far: 5% + 28% + 47.48% + 11.80% = 92.28%

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PROBLEM

Slope of a line passes through (-82,-26) and (-81,4)

Method

Step 1

Write out slope formula

Step 2

write out all parameters

x1 = -82, y1 = -26

x2 = -81 , y2 = 4

Step 3

Input all parameter

Answer:

[tex]2v^4 (v+5)(2v-1)[/tex]

Step-by-step explanation:

[tex]4v^6+18v^5-10v^4 \\ \\ =2v^4 (2v^2 + 9v-5) \\ \\ =2v^4 (v+5)(2v-1)[/tex]

Check the picture below.

The expression as power [tex]16^{3/2}[/tex] is 64.

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.

Given:

[tex]16^{3/2}[/tex]

using law of exponent

[tex]x^{(a * b)} = (x^a)^b[/tex]

Now, splitting 16 as 4 square

[tex]16^{3/2}[/tex]

=(4²[tex])^{3/2}[/tex]

=4³

=4 x 4 x 4

=64

Hence, expression as power [tex]16^{3/2}[/tex] is 64.

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Answer: 16^2.25  

This is the correct answer thanks

We are basically asked to perform the product of expressions that contain complex numbers a s roots of polynomials. So it is essential to identify the complex root in order to facilitate our products that otherwise could be really time consuming.

First product:

(x + 3 + 5i) (x + 3 - 5i) we are going to write as: ((x +3) +5i) ((x+3) - 5i). So this is going to be interpreted as a difference of squares (a + b) ( a - b) = a^2 - b^2:

((x +3) +5i) ((x+3) - 5i) = (x+3)^2 - (5i)^2 = (x+3)^2 - (-25) = (x+3)^2 + 25

We are using the fact that (i)^2 = -1 to convert - 25 (i)^2 = + 25

Now we solve the square of the binomial (x+3) , that is:

(x+ 3)^2 = x^2 + 6x + 9

Now this combined with + 25 gives: x^2 + 6x + 34 This is one of the options in blue background shown at the tops (the fourth one starting from the left)

Second product:

(x - 4i) (x + 4i) which is an easirer product than the one above because we can solve it just using difference of squares: (a - b) (a + b) = a^2 - b^2:

(x - 4i) (x + 4i) = x^2 - (4i)^2 = x^2 - 16 (i)^2 = x^2 +16

This is the second expression in blue background from left to right.

Third product:

(x - 6 + i) (x - 6 - i) for which we apply the same technique as in the first product we solve above:

(x - 6 + i) (x - 6 - i) = ((x - 6) + i) ((x - 6) - i) = (x-6)^2 - (i)^2 = (x-6)^2 - (-1) = (x-6)^2 + 1 = x^2 - 12 x + 36 + 1 = x^2 - 12 x + 37 which is the very first expression in blue background in the image you uploaded.

Olease move the bue background boxes so as to match the indicated products.

Answer:

5.   [tex]\bold{(g \circ f)(-3) = 16}}[/tex]

6.   [tex]\bold{h(h(-3x)) = -12x + 15 }}[/tex]

7.   [tex]{\bold{f\left(g\left(x-3\right)\right):\quad 3x-21}}[/tex]

8.   [tex]\bold{\text \bold g(f(-3x)) = -36x + 15}}[/tex]

Step-by-step explanation:

These are examples of composite functions.

What is a composite function?
A function by definition is a process that takes a collection of inputs and produces a corresponding collection of outputs in such a way that the process produces one and only one output value for any single input value.

Since we consider a function a process it makes sense to think of two functions acting in sequence to produce a single output. The output from one function is fed into the second function.

Note that we can have [tex]f[/tex][tex]g[/tex] as the outer function, in which case the notation will be [tex](g \circ f)(x)[/tex] or [tex]g(f(x))[/tex]

Problem Solution

5.     [tex]g(x) = x + 3 \;\text and\; f(x) = 3x + 4[/tex]
       Find  [tex](g \circ f)(-3) = g(f(-3))[/tex]

6.   [tex]h(x) = 2x + 5[/tex]
     Find [tex]h(h(-3x))[/tex]

 [tex]7.\;\;\;g\left(x\right)\:=\:x-\:3,\:f\left(x\right)\:=\:3x\:-\:3\\\\\text{Find } \:f\left(g\left(x-3\right)\right)[/tex]

.[tex]\bold{8.\;\;g(x) = 3x + 3, f(x) = 4x + 4}\\\\\bold{\text{Find } g(f(-3x))}[/tex]

) Let us assume that the interest was compounded annually. The formula for calculating compound interest is expressed as

A = P(1 + r/n)^nt

where

A is the amount after t years

P is the principal or initial amount invested

r is the interest rate

n is the number of compounding periods in a year

t is the number of years

From the information given,

P = 130

r = 4% = 4/100 = 0.04

n = 1 because it was compounded once in a year

t = 10

By substituting the values into the formula, we have

A = 130(1 + 0.04/1)^1 * 10

A = 130(1.04)^10

A = 192.43

Rounding to the nearest whole number, the amount after 10 years is $192

The standard error of the sample nean for a population that consists of 500 observations is 1.5

From the information, the population that consists of 500 observations has a mean of 40 and a standard deviation of 15.

It should be noted that the sample mean is calculated as:

= Standard deviation / ✓number

= 15 / ✓100

= 15 / 10

= 1.5

Therefore, the standard error is 1.5.

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Answer:

Step-by-step explanation:

(4^3/(9^3)

= 64/729 or0.09

Answer:

the aswer is 30 glad i could help

Step-by-step explanation:

Answer:

w = 30

Step-by-step explanation:

184 = 2w + 64 + 2w

(2w + 2w)

184 = 4w + 64

(184 - 64)

120 = 4w

(÷4)

w = 30

Answer:

79

Step-by-step explanation:

same thing as 79/1

Answer:

a) -1< x < 6

Step-by-step explanation:

you no. how true answer

We have a random variable, the time it takes to wash the dishes, that is uniformly distributed between 7 minutes and 16 minutes.

We have to calculate the probability that this random variable will have a value between 11 and 15 minutes.

We can calculate this probability as:

With the help of the given tabular data, we can conclude that the number of bananas will become smaller as one moves down the table.

Here,

According to the table,

The number of bananas will become smaller as one moves down the table.

Therefore, with the help of the given tabular data, we can conclude that the number of bananas will become smaller as one moves down the table.

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Complete question:

Bill has 5 apples and 5 bananas. He can only put 5 pieces of fruit in a bowl. Will the number of bananas get smaller or larger as you move down the table? How do you know?

The table has been attached

The situation represents a function, while the domain and the range are 0 <= x <= 5 and 0 <= y <= 100, respectively

From the question, we have

Charges = $20 per person

Let the number of people be x and the total charges be y

So, we have

y = 20x

The above equation is a linear function

From the question, we have

Total number of people per seat = 5

So, the domain is 0 <= x <= 5

Substitute 5 for x in y = 20x

y = 20 x 5

Evaluate

y = 100

So, the range is 0 <= y <= 100

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1. The least number of hours that.Kee can work is 7 hours.

2. The maximum number of miles that Julie will drive will be 272 miles.

1. Lee makes $64 per hour and he wants to make no less than $400 each hours for the trip. The number of hours will be:

Let the number of hours = h

64h >= 400

Divide

h >= 400/64

h >= 6.25

The least hour should be 7 hours.

2. The maximum number of miles that Julie will drive will be:

44(3) + 0.25m = 200

m = number of miles

132 + 0.25m = 200

0.25m = 200 - 132

0.25m = 68

m = 68 / 0.25

= 272

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