Kathryn is 1.6 meters tall. Convert her height to feet. Round to the nearest tenth.

A bakery has the following pricing for large orders of cupcakes. The first 100 cupcakes of any order

Taya2010 [7]

A piecewise function is a function that behaves differently in different intervals of its domain.

The answers are:

a)

f(x) = x*$2.00 if 0 ≤ x ≤ 100

f(x) = x*$1.75 if 100 < x ≤ 250

f(x) = x*$1.25 if x > 250.

b) $306.25

The given information is:

The first 100 cupcakes cost $2.00 each.

If the order is between 100 and 250 cupcakes, the cost is $1.75 each.

If the order is more than 250 cupcakes, the cost is $1.25 each.

a) Now we want to write the piecewise function, this will be:

f(x) = x*$2.00 if 0 ≤ x ≤ 100

f(x) = x*$1.75 if 100 < x ≤ 250

f(x) = x*$1.25 if x > 250.

Above you can see the piecewise function, when you want to evaluate it, the first thing you need to do is to find at which interval the input belongs.

b) If you order 175 cupcakes you have x = 175.

This belongs to the second interval ( 100 < x ≤ 250) then we will use the second part of the function:

f(175) = 175*$1.75 = $306.25

If you want to learn more, you can read:

brainly.com/question/12561612

8 0

2 years ago

Given that the expression 2x^3 + mx^2 + nx + c leaves the same remainder when divided by x -2 or by x+1 I prove that m+n =-6

Alla [95]

Given:

The expression is:

$2x^3+mx^2+nx+c$

It leaves the same remainder when divided by x -2 or by x+1.

To prove:

$m+n=-6$

Solution:

Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).

Let the given polynomial is:

$P(x)=2x^3+mx^2+nx+c$

It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that

$P(2)=P(-1)$ ...(i)

Substituting $x=-1$ in the given polynomial.

$P(-1)=2(-1)^3+m(-1)^2+n(-1)+c$

$P(-1)=-2+m-n+c$

Substituting $x=2$ in the given polynomial.

$P(2)=2(2)^3+m(2)^2+n(2)+c$

$P(2)=2(8)+m(4)+2n+c$

$P(2)=16+4m+2n+c$

Now, substitute the values of P(2) and P(-1) in (i), we get

$16+4m+2n+c=-2+m-n+c$

$16+4m+2n+c+2-m+n-c=0$

$18+3m+3n=0$

$3m+3n=-18$

Divide both sides by 3.

$\dfrac{3m+3n}{3}=\dfrac{-18}{3}$

$m+n=-6$

Hence proved.

7 0

3 years ago

Please help me ASAP!!

viktelen [127]

Answer:

D

Step-by-step explanation:

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7 0

2 years ago

Identify the constant of proportionality

Sveta_85 [38]

Answer:

When two variables are directly or indirectly proportional to each other, then their relationship can be described as y = kx or y = k/x, where k determines how the two variables are related to one another.

Step-by-step explanation:

This k is known as the constant of proportionality.

3 0

2 years ago

Pleeeeeeease help me

kupik [55]

The arrow should be pointing to the negatives

6 0

3 years ago