All categories

3 years ago

Unit 6 lesson 9: linear functions sample work

Mathematics

1 answer:

loris [4]3 years ago

4 0

Answer:

Initially, you have 2573 pieces.

You use 5 pieces each minute.

Right when you start, you have 2573 pieces.

One minute after that, you have 2573 - 5 pieces.

Another minute after, you have 2573 - 2*5 pieces.

Another minute after, you have 2573 - 3*5 pieces.

And so on.

You can see the pattern here, and with this, we can find the linear equation that represents the number of pieces that you have as a function of time.

Then, if the variable t represents the number of minutes that passed since you started, we can write the equation:

f(t) = 2573 - 5*t

That represents the number of pieces that you have after t minutes.

You might be interested in

A post is supported by two wires (one on each side going in oppositedirections) creating an angle of 80° between the wires. The

Vladimir [108]

Using the Sine rule,

$\frac{\sin A}{A}=\frac{\sin B}{B}=\frac{\sin C}{C}$ $\begin{gathered} \text{Let A = 14m,} \\ Substituting the variables into the formula,Where the length of the wires are, AP = xm and BP = ym[tex]\begin{gathered} \frac{\sin80^0}{14}=\frac{\sin40^0}{x} \\ \text{Crossmultiply,} \\ x\times\sin 80^0=14\times\sin 40^0 \\ Divide\text{ both sides by }\sin 80^0 \\ x=\frac{14\sin40^0}{\sin80^0} \\ x=9.14m \end{gathered}$

Hence, the length of wire AP (x) is 9.14m.

For wire BP (y)m,

Sum of angles in a triangle is 180 degrees,

$A^0+P^0+B^0=180^0$ $\begin{gathered} \text{Where A}^0=\text{ unknown,} \\ P^0=80^0\text{ and,} \\ B^0=40^0 \\ A^0+80^0+40^0=180^0 \\ A^0+120^0=180^0 \\ A^0=180^0-120^0 \\ A^0=60^0 \end{gathered}$

Using the side rule to find the length of wire BP,

$\begin{gathered} \frac{\sin 60^0}{y}=\frac{\sin 80^0}{14} \\ \text{Crossmultiply,} \\ y\times\sin 80^0=14\times\sin 60^0 \\ \text{Didive both sides by }\sin 80^0 \\ y=\frac{14\times\sin 60^0}{\sin 80^0} \\ y=12.31m \end{gathered}$

Hence, the length of wire BP (y) is 12.31m

Therefore, the length of the wires are (9.14m and 12.31m).

4 0

1 year ago

3(х + 3) 3х + 3 please help

shtirl [24]

I don’t really know but try a calculator

4 0

3 years ago

Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the

nignag [31]

Answer:

Step-by-step explanation:

I’m not sure u didn’t even add numbers

8 0

2 years ago

Ethan is thinking of a negative number that is lower than -4 and higher than

s2008m [1.1K]

When the number is odd and a multiple of 3, the number that Ethan is thinking of is -9.

<h3>How to illustrate the number?</h3>

In mathematics, a multiple is the product of any quantity and an integer. It should be noted that, for the quantities a and b, it can be said that b is a multiple of a if b = na for some integer n, which is called the multiplier. If a is not zero, this is equivalent to saying that b/a is an integer.

In this case, Ethan is thinking of a negative number that is lower than -4 and higher than -10 and his number is odd and a multiple of 3. The number is -9 since 9 is a multiple of 3.

Learn more about multiples on:

brainly.com/question/26856218

#SPJ1

7 0

1 year ago

25 students tried out for the football team, but 40% only made the team. How many of the students made the football team? Provid

Alexxandr [17]

Answer:

B. 10

Step-by-step explanation:

$40\% \: of \: 25 = \frac{40}{100} \times 25 \\ \\ = \frac{40}{4} = 10$