The function f(x) is represented by the table below. What are the corresponding values of g(x) for the transformation g(x) = 4f(x)?

All the bird seed bags Nellie is considering have the same cost per pound ($0.72). She should choose based on her weekly usage and storage preference. Any size will be cost-effective.

To determine the best deal on bird seed, Nellie needs to calculate the unit price for each option. The unit price is the price per pound of bird seed.

For the 3.5-pound bag:

[tex]\[ \text{Unit price} = \frac{\$2.52}{3.5 \text{ pounds}} \approx \$0.72/\text{pound} \]\\For the 7.5-pound bag:\[ \text{Unit price} = \frac{\$5.40}{7.5 \text{ pounds}} = \$0.72/\text{pound} \]For the 11-pound bag:\[ \text{Unit price} = \frac{\$7.92}{11 \text{ pounds}} \approx \$0.72/\text{pound} \][/tex]

Since all three options have the same unit price of approximately $0.72 per pound, Nellie should choose the size that offers her the most pounds of bird seed for the best value, as he has anyway room for storing extra purchase. Here, can choose to buy any of them.

This is the graph they are referring to

The first thing we are going to do to find the total cost of the meal before tax:

Total cost before tax = $8.99 + 2($14.99) + $12.99 + 3($1.99)

Total cost before tax = $8.99 + $29.98 + 12.99 + $5.97

Total cost before tax = $57.93

Regarding the 15% gratuity, remember that the unofficial rule for tipping at restaurants is to tip according to the actual value of the meal and not the tax, so we calculate the value of the tip first, and then we add it to the total at the end of our calculations.

Tip = 15%($57.93) = $8.69

Now, lets calculate the tax

Tax = 7.5%($57.93) = $4.34

Finally, we can calculate the total cost of the meal

Total cost = cost before tax + tip + tax

Total cost = $57.93 + $8.69 + $4.34 = $70.96

We can conclude that the correct answer is a. $70.96

Answer:

$70.96

Step-by-step explanation:

Cost of 1 appetizer = $8.99

Cost of 1 entrees= $14.99

Cost of 2 entrees= [tex]14.99 \times 2 = 29.98[/tex]

Cost of 1 entree: $12.99

Cost of 3 drinks = 1.99 \times 3 =5.97

Total cost before tax = $8.99 + $29.98 + 12.99 + $5.97

Total cost before tax = $57.93

there is 7.5% tax

So, tax =[tex]7.5 \% \times 57.93 = \frac{7.5}{100} \times 57.93 =4.34[/tex]

The customer leaves a 15% gratuity.

Gratuity=[tex]15 \% \times 57.93 = \frac{15}{100} \times 57.93 =8.69[/tex]

So, Total cost including tax and gratuity = $57.93 + $8.69 + $4.34 = $70.96

So, Option A is true

The largest perfect square less than or equal to 45 is 36, which is the square of 6. Squaring numbers less than 7 shows that 36 is the perfect square closest to, but not exceeding 45.

Answer:

the hypotenuse is probably 26

Step-by-step explanation:

Answer:

A) 5√22

Step-by-step explanation:

I took the K12 quiz and it was right

The simplification form of the √550 is 5√22 after factorization of 550 or 550 can be written as 5x5x2x11 option (A) 5√22 is correct.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The number in radical sign is 550 ie.

= √550

The factors of the 550 can be written as:

550 = 5x5x2x11

= √(5x5x2x11)

= 5√(2x11)

= 5√22

Thus, the simplification form of the √550 is 5√22 after factorization of 550 or 550 can be written as 5x5x2x11 option (A) 5√22 is correct.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ2

The value of the square root of the number 1.69 would be 1.3.

Used the concept of the square root of a number that states that,

The square root of a number is the number that, when multiplied by itself, gives the original number.

Given that the number is,

The square root of 1.69.

Now simplify the number as

The square root of 1.69.

It can be written as,

√1.69

√(1.3)²

= 1.3

Therefore, √1.69 = 1.3

To learn more about square root visit:

https://brainly.com/question/428672

#SPJ6

The perimeter of the rectangle is 75 cm, then the length of the rectangle will be equal to 25.25 cm.

A shape's perimeter is the whole distance encircling it. It is the perimeter or length of the contour of any geometric two-dimensional shape. The circumference of several figures could be comparable based on the measurements.

As per the information provided by the question,

The perimeter of the rectangle = 75 cm

Let the width of the rectangle is w.

Then, length (l) is 13 more than,

l = w + 13   (i)

As per the formula of the perimeter of a rectangle,

[tex]P=2(l+w)[/tex]

75 = 2(w + 13 + w)

75 = 4w + 26

4w = 49

w = 12.25 cm

Substitute w = 12.25 cm in equation (i)

l = 12.25 + 13

l = 25.25 cm.

To know more about Perimeter:

https://brainly.com/question/6465134

#SPJ5

Answer: The correct answer is A.

Step-by-step explanation:

Range is defined as the set of 'y' values for which the function is defined.

The graph of [tex]y=\sqrt{x}[/tex] passes through the origin and lies in the first quadrant and in the shape of half parabola. The image is attached below.

The alteration in the 'x' term will transform the graph in the x-direction. In order to find the range we will consider the y-values only. So, we can neglect option C and D.

When we add some constant 'C' in the function, then the graph will shift upward by C-units.

When we subtract some constant 'C' in the function, then the graph will shift downward by C-units.

Therefore, the graph of [tex]y=\sqrt{x}-5[/tex] starts with the point (0,-5) and hence, the graph will lie above this point. The image of the graph is attached below.

As, the range of the function is [tex]y\in {-5,\infty}[/tex], it means that -4 is also included in this range.

Hence, the correct option is A.

The correct option where the range includes -4 is y = sqrt(x) - 5. Other options do not produce negative values in their ranges. Hence, Option A is the correct answer.

To determine which function's range includes -4, we will analyze each option:

Based on the above analysis, the correct answer is Option A: y = sqrt(x) - 5.

Answer:

Step-by-step explanation:

alright lets get started.

the linear combination is given by :

[tex]4(-2,3)-2(6,-7)[/tex]

foiling 4 and 2 into the parenthesis

[tex](4*-2, 4*3)+(-2*6,-2*-7)[/tex]

[tex](-8, 12)+(-12,14)[/tex]

Combinig x and y terms together

[tex](-8-12, 12+14)[/tex]

[tex](-20,26)[/tex]    :     answer

Hope it will help. :)

Answer:

July has 31 days.

Step-by-step explanation:

The diagram shows that april has 30 days along with June, while May and July have 31 days.

  From the picture attached,

Coordinates of point A → (0, 0)

Coordinates of point M → [tex](\frac{a}{2}, \frac{b}{2} )[/tex]

Coordinates of point A → (0, b)

Coordinates of point A → (a, 0)

Since, we have to prove that midpoint (M) of the hypotenuse BC is equidistant from all three vertices A, B and C,

AM = BM = CM

Use the expression for the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

AM = [tex]\sqrt{(\frac{a}{2}-0 )^2+(\frac{b}{2}-0)^2}[/tex]

      = [tex]\sqrt{(\frac{a}{2})^2+(\frac{b}{2} )^2}[/tex]

BM = [tex]\sqrt{(a-\frac{a}{2} )^2+(\frac{b}{2})^2}[/tex]

      = [tex]\sqrt{(\frac{a}{2})^2+(\frac{b}{2})^2}[/tex]

CM = [tex]\sqrt{(0-\frac{a}{2} )^2+(b-\frac{b}{2})^2}[/tex]

      = [tex]\sqrt{(\frac{a}{2})^2+(\frac{b}{2})^2}[/tex]

Therefore, AM = BM = CM = [tex]\sqrt{(\frac{a}{2})^2+(\frac{b}{2})^2}[/tex]

Learn more,

https://brainly.com/question/2520846

YES, the midpoint of the hypotenuse of a right triangle is equidistant from three vertices -

AM = CM = BM.

We have a right - angled triangle → ΔABC.

We have to prove that midpoint of the hypotenuse of a right triangle is equidistant from three vertices.

A right angled triangle is a triangle with one of the angles as 90 degrees.

According to the question -

Consider the hypotenuse BC. The mid - point of BC has the coordinates as -

M([tex]\frac{a}{2} , \frac{b}{2}[/tex]).

Now -

Length AM →

AM = [tex]\sqrt{(\frac{a}{2}) ^{2} + (\frac{b}{2}) ^{2} }[/tex]

Length CM →

CM = [tex]\sqrt{(\frac{a}{2}) ^{2} + (\frac{b}{2} - b) ^{2} }=\sqrt{(\frac{a}{2}) ^{2} + (\frac{b}{2}) ^{2} }[/tex]

Length BM →  

BM = [tex]\sqrt{(\frac{a}{2} -a) ^{2} + (\frac{b}{2} ) ^{2} }=\sqrt{(\frac{a}{2}) ^{2} + (\frac{b}{2}) ^{2} }[/tex]

Therefore -

AM = CM = BM

Hence, the midpoint of the hypotenuse of a right triangle is equidistant from three vertices.

To solve more questions on Right angled triangle, visit the link below-

https://brainly.com/question/14260489

#SPJ2