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3 years ago

A 16-oz bottle of parmesan cheese costs $5.78, while an 8-oz bottle costs $3.97. Which is the better buy? Round

Mathematics

2 answers:

Elden [556K]3 years ago

4 0

Answer:

The 16-oz bottle is a better buy

Step-by-step explanation:

Find the better buy by finding which one has a lower price per ounce:

Calculate the price per ounce of both bottles by dividing the cost by the number of ounces

5.78/16

= 0.36

3.97/8

= 0.5

Since 0.36 is smaller than 0.5, the 16 ounce bottle is a better buy.

Alexus [3.1K]3 years ago

3 0

Answer:

The 16-oz bottle of parmesan cheese is the better buy.

Step-by-step explanation:

It is the better buy because, if you compare the prices and the ounces, I say that the 16-oz is the best buy.

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Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int

mrs_skeptik [129]

Answer:

Vertex form: $f(x) =(x +\frac{1}{2})^2 -\frac{29}{4}$

The vertex is $(-\frac{1}{2},-\frac{29}{4})$

Step-by-step explanation:

For a general quadratic function the form is:

$ax ^ 2 + bx + c$

For the function

$f(x) = x ^ 2+ x -7$

The values of the coefficients for the function are the following: $a = 1$ , $b =1$ , $c = -7$

Take the value of b and divide it by 2. Then, the result obtained squares it.

$\frac{b}{2}= \frac{1}{2}$

$(\frac{b}{2})^2=(\frac{1}{2})^2=\frac{1}{4}$

Add and subtract $\frac{1}{4}$

$f(x) = (x ^ 2 +x +\frac{1}{4}) -\frac{1}{4}- 7$

Write the expression of the form

$f(x) = (x+\frac{b}{2})^2 +k$

$f(x) =(x +\frac{1}{2})^2 -\frac{29}{4}$

The vertex is (h, k)

The vertex is: $(-\frac{1}{2},-\frac{29}{4})$

3 0

3 years ago

Let f be the function that determines the area of a circle (in square cm) given the radius of the circle in cm, r. That is, f(r)

yarga [219]

Answer:

The answers to each question are:

a) $A=f(r=4cm)=50.26cm^2$

b) $\Delta A(10.91cm-10.9cm)=f(10.91cm)-f(10.9cm)=0.6851cm^2$

c) $C=5\cdot f(r=12.7cm)=2533.54cm^2$

d) $D=f(r=28cm)+59cm^2=2522.01cm^2$

Step-by-step explanation:

The function f(r) that represents the area of a circle (in square cm) is:

$f(r)=\pi r^2$

a) To represent the area (in square cm) of a circle whose radius is 4 cm, you just have to evaluate the function with a radius of 4cm:

$A=f(r=4cm)=50.26cm^2$

b) To represent how much the area (in square cm) of a circle increases by when its radius increases from 10.9 to 10.91 cm, you have to represent the difference between the final area with a radius of 10.91cm and the initial area of a radius of 10.9cm:

$\Delta A(10.91cm-10.9cm)=f(10.91cm)-f(10.9cm)=0.6851cm^2$

c) To represent the area of 5 circles that all have a radius of 12.7 cm, we can use the function f(r) to represent the area of a circle with a radius of 12.7cm and multiply it for 5:

$C=5\cdot f(r=12.7cm)=2533.54cm^2$

d) To represent the area of the larger circle that is 59 square cm more than the first circle (with a radius of 28 cm), we can use the function f(r) to obtain the area of the first circle and addition 59 square cm:

$D=f(r=28cm)+59cm^2=2522.01cm^2$

6 0

3 years ago

mr. slone said that his car was worth $30,000 when it was purchased. However, over last 3 years it has decreased in value $5400.

FrozenT [24]

It decreases 1,800 per year

5 0

3 years ago

Twice the difference between 6 times h and 3 gives 30

Wewaii [24]

Your answer should be:

2(6h-3) = 30

3 0