Determine whether the following statement is true or false.
A proper use of units can help us to determine the meaning of the slope of a linear function.

Answers

Answer 1
The correct answer would be true
Answer 2

Here we want to see if the statement:

"A proper use of units can help us to determine the meaning of the slope of a linear function" is true or false.

We will see that it is true.

First, a general linear equation can be written as:

y = a*x + b

Where a is the slope, x is the independent variable, y is the dependent variable, and b is the y-intercept.

The proper use of units is:

y and b must have the same units.

x can have any type of units

The slope must have the quotient between the units of y and the units of x.

Where the proper use of units means that we have the same units on both sides of the expression.

Now, assume that we know the units of y and x.

For example:

y is miles  (then b is also in miles)

x is in hours

Then, with the proper use of units, we can see that the units of the slope are:

miles/hour, or miles per hour.

With this (only knowing the units of x and y) we can see that the slope will be a speed.

So yes, the proper use of units is really important, as this has a lot of information (particularly, the meaning of the slope in a linear equation)

Thus, the statement is true.

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Related Questions

There are 21 red apples and 18 green apples. What is the ratio of green to red apples?

Answers

Answer:

A possible can be 7 red apples for every 6 green apples.

Step-by-step explanation:

21 and 18 have a common factor of 3. 21/3 =7 and 18/3=6. So the answer can be 7 red apples for every 6 green apples. Hope this helps

If TU = 13x − 1, UV = 6x − 2, and TV = 18x + 15, what is TV?

Answers

Answer:

303

Step-by-step explanation:

13x + 1 + 6x - 2 = 18x + 15

19x - 1 = 18x + 15

19x = 18x + 16

x = 16

18(16)+ 15

288 + 15

303

Find the area of the triangle.

A. 19.2 yd²
B. 9.3 yd²
C. 8.5 yd²
D. 17.1 yd²

Answers

Answer:

8.5 yd sq.

Step-by-step explanation:

[tex]area \: of \: triangle = \frac{1}{2} \times \sin(156) \times 6 \times 7 \\ = 0.41 \times 21 \\ = 8.5[/tex]

A prisoner is planning to escape from prison! The prison s gate consists of horizontal and vertical bars that are spaced one unit apart so the area of each hole between the bars is 1 x 1. The prisoner manages to remove certain bars to make some bigger holes. Determine the area of the largest hole in the gate after the bars are removed in java

Answers

Answer:

2

Step-by-step explanation:

An artillery shell leaves a cannon at a speed of 400 meters per second. What is its speed in miles per hour

Answers

The speed is 894.775 mile per hour.

What is the speed?

The certain distance travelled in certain time is speed.

Speed = distance/time.

How to calculate the speed in mile per hour?

1 meter per second = 2.23694 mile per hour

Therefore, 400 meter per second = (400*2.23694) mile per hour

=894.775.

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Jenna has
131
131131 dog biscuits. She wants to give them as gifts to each of her
4
44 poodles.

Answers

Hi! I'm happy to help!

To solve for how many biscuits each poodle gets, we have to split or divide the amount of biscuits by the amount of poodles. (We will use division)

131,131,131÷444

295,340.3851... rounded to 295,340

So, each poodle will receive 295,340 dog biscuits. (A LOT)

I hope this was helpful, keep learning! :D

a mechanic has the length of a hole 6 feet long what is the length after two inches is cut off?​

Answers

The answer is 70 inches

Help!
Which expression is equivalent?
On edge

Answers

Answer: Choice B

[tex]x^{1/8}y^{8}[/tex]

======================================================

Explanation:

The two rules we use are

[tex](a*b)^c = a^c*b^c[/tex]

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

When applying the first rule to the expression your teacher gave you, we can say that:

[tex]\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}[/tex]

Then applying the second rule lets us say

[tex]\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}[/tex]

Therefore,

[tex]\left(x^{1/4}y^{16}\right)^{1/2} = x^{1/8}y^{8}[/tex]

-------------

In short, we just multiplied each exponent inside by the outer exponent 1/2.

So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.

There is a triangular garden plot with a side of
z
. The second side is
5
feet more than the first. The third side is
2
times the first. Write an expression that represents the perimeter of this garden plot. Make sure to simplify.

Answers

9514 1404 393

Answer:

  P = 4z +5

Step-by-step explanation:

The side lengths are given as (z), (z+5), (2z). The perimeter is the sum of the side lengths:

  P = z +(z +5) +2z

  P = 4z +5

find dy/dx x=a(cost +sint) , y=a(sint-cost)​

Answers

Answer:

[tex]\begin{aligned} \frac{dy}{dx} &= \frac{\cos(t) + \sin(t)}{\cos(t) - \sin(t)} \end{aligned}[/tex] given that [tex]a \ne 0[/tex] and that [tex]\cos(t) - \sin(t) \ne 0[/tex].

Step-by-step explanation:

The relation between the [tex]y[/tex] and the [tex]x[/tex] in this question is given by parametric equations (with [tex]t[/tex] as the parameter.)

Make use of the fact that:

[tex]\begin{aligned} \frac{dy}{dx} = \quad \text{$\frac{dy/dt}{dx/dt}$ given that $\frac{dx}{dt} \ne 0$} \end{aligned}[/tex].

Find [tex]\begin{aligned} \frac{dx}{dt} \end{aligned}[/tex] and [tex]\begin{aligned} \frac{dy}{dt} \end{aligned}[/tex] as follows:

[tex]\begin{aligned} \frac{dx}{dt} &= \frac{d}{dt} [a\, (\cos(t) + \sin(t))] \\ &= a\, (-\sin(t) + \cos(t)) \\ &= a\, (\cos(t) - \sin(t))\end{aligned}[/tex].

[tex]\begin{aligned} \frac{dx}{dt} \ne 0 \end{aligned}[/tex] as long as [tex]a \ne 0[/tex] and [tex]\cos(t) - \sin(t) \ne 0[/tex].

[tex]\begin{aligned} \frac{dy}{dt} &= \frac{d}{dt} [a\, (\sin(t) - \cos(t))] \\ &= a\, (\cos(t) - (-\sin(t))) \\ &= a\, (\cos(t) + \sin(t))\end{aligned}[/tex].

Calculate [tex]\begin{aligned} \frac{dy}{dx} \end{aligned}[/tex] using the fact that [tex]\begin{aligned} \frac{dy}{dx} = \text{$\frac{dy/dt}{dx/dt}$ given that $\frac{dx}{dt} \ne 0$} \end{aligned}[/tex]. Assume that [tex]a \ne 0[/tex] and [tex]\cos(t) - \sin(t) \ne 0[/tex]:

[tex]\begin{aligned} \frac{dy}{dx} &= \frac{dy/dt}{dx/dt} \\ &= \frac{a\, (\cos(t) + \sin(t))}{a\, (\cos(t) - \sin(t))} \\ &= \frac{\cos(t) + \sin(t)}{\cos(t) - \sin(t)}\end{aligned}[/tex].

Help??????? Please please help me please

Answers

Answer:

17 +158 *55 /45

Step-by-step explanation:

maaf kalo salah

32 + 7 + 2 22 + 192 + 24 + 8 22 + 3 + 2 − 22 − 7 − 15 ÷ 2 − 2

Answers

Answer:

So simple question ask some complicated na yrr

Answer:

1265.5

is that right

i think that question is wrong

Can anyone help please?

Answers

Ok ok im gonna with C but if it’s wrong i am sooo sorry

What is the smallest number that has both 8 and 9 as a
factor?
A 72
B 36
C 54
D 48

Answers

Answer:

A

Step-by-step explanation:

8 and 9 can go in 72.

Look for the LCM of 72

Answer:

72

Step-by-step explanation:

72 has both 8 and 9 as its factors from the alternatives

Apart from 72,

the available options does not have both 8 and 9 being its factors.

Find the place value of 7 in 374596

Answers

Answer:

It is tens

Step-by-step explanation:

3 » ones

[tex]{ \boxed{ \sf{7 \: » \: tens}}}[/tex]

4 » hundreds

5 » thousands

9 » ten thousands

6 » hundred thousands

Who ever gets it correctly gets 100 points

Answers

Answer:

A,C,D

Step-by-step explanation:

Please help

Find the equation to the line below.
1 1
y = [? ]x +
[ ]

Answers

The answer is y=4x+1! Explanation: the slope is 4, and the y intercept is 1. Hope this helps!

If the area of the square above is 144 what is the value of x

Answers

Answer:

It should be 12, but x wasn't defined. My condition could be wrong though.

If the area of the square above is 144. The value of x is the length of the side of the square which is 12 units.

What is the area of a square?

The area of a square can be calculated as the square of the sides of a given figure.

The area of a square = side x side

We have given the area of the square above is 144.

Let x be the side of the given square.

The area of a square = side x side

[tex]144 = x \times x\\\\144 = x^2\\\\x =\sqrt{144} \\\\x = 12[/tex]

Hence, the length of the side is 12 units.

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if x^3+ax^2+bx=6 is exactly divisible by (x-1), prove that a+b=5.​

Answers

Step-by-step explanation:

x-1=0

x=1

subtitute value of x

p(x)=x^3+ax^2+bx

p(1)=(1)^3+a(1)^2+b(1)

p(1)=1+a+b

as p(x) =6. (given)

1+a+b=6

a+b=6-1

a+b=5

Round this number to the nearest 100,000

927,545

Answers

Answer:

900,000

Step-by-step explanation:

rounding is quite simple, the number 927,545, like all numbers, has different number places/values. the number 9 is in the 100,000th place and to round you look at the number in the place to the right of it which is 2. the number 2 is is less than 5 so it can't raise the number 9 to a ten. because of this, it reduces all of the other numbers to 0. leaving you with the number 900,000

If the number 8.2×109 is written in standard notation, it is the number 82 followed by how many zeros?

Answers

Answer:

8 zeroes

Step-by-step explanation:

8.2*10^9=8200000000 which has 8 zeroes

I need help solving this question pleeeeasse

Answers

Answer:

Step-by-step explanation:

I’m not what are you talking about

Answer the second question. (pls )

Answers

Answer:

How about  c = 15x + 10x?

Step-by-step explanation:

Answer:

i aint too good at this stuff but you can put g=15 and s=10 for the price of just the goby fish and just the shrimp hope this mighta helped

Step-by-step explanation:

evaluate the expression when b=5

Answers

Answer:

8.   10

11.   10

Step-by-step explanation:

put 5 instead of b

8.  (15 - b)

    = (15-5)

   = (10)

11. b +b

  = 5 +5

  = 10

Times 3 excuse the quality !

Alec wants to purchase a new phone that costs $159.00. His current average net pay is $167.91 each week. What percent of his weekly net pay does Alec need to save each week, for the next six weeks, to reach his goal? Round to the nearest hundredth. (1 point)
1.58%
9.09%
15.78%

Answers

9514 1404 393

Answer:

  15.78%

Step-by-step explanation:

Let x represent the fraction of pay that Alec needs to save each week. Then at the end of 6 weeks, he will have ...

  159.00 = 6(x(167.91))

  x = 159.00/(6·167.91) ≈ 0.157823 ≈ 15.78%

Alec will need to save 15.78% of his pay.

_____

Additional comment

We recognize that $159 is almost a whole paycheck of $168, so Alec needs to save approximately 1/6 of his paycheck each week. We know that 1/6 = 16.67%, so the nearest reasonable answer choice is 15.78%.

Solve for x: 5x + 2 = 4x − 9.

7
−7
11
−11

Answers

Answer:

x= -11

Step-by-step explanation:

5x+2=4x-9 subtract 2 from both sides

5x+2-2=4x-9-2

5x=4x-11 subtract 4x from both sides

5x-4x=4x-4x-11

x= -11

hope that helps>3

50 Points to correct answer!!!

what is the average rate of change from 2 to 9 of the function represented by the graph?

Answers

Answer:

-3/7

Step-by-step explanation:

It is asking to find the slope of the secant line going through points (2,f(2)) and (9,f(9)).

We must find f(2) by looking at the curve at x=2. We should see that y=2 there so f(2)=2.

We must find f(9) by looking at the curve at x=9. We should see that y=-1 there so f(9)=-1.

The slope of a line is calculated by finding the ratio of the change of y to the change of x.

(-1-2)/(9-2)

(-3)/(7)

-3/7

HLP HLP HLP HLP 10 10 10

Answers

Answer:

B. [tex]4^{6}[/tex] ÷ [tex]5^{6}[/tex]

Step-by-step explanation:

its a formula

What are m and b in the linear equation, using the common meanings of m and b? 2 + 3x + 5 - 2x = y​

Answers

y=mx+b

[tex]\\ \sf\longmapsto y=2+3x+5+2x[/tex]

[tex]\\ \sf\longmapsto y=3x+2x+2+5[/tex]

[tex]\\ \sf\longmapsto y=5x+7[/tex]

Hence

m=5,b=7

jordan drank 36 ounces of water today , how many cups of water did he drink ?
a. 4.5 cups
b. 9 cups
c. 18 cups
d. 288 cups

answer asapppp 2 .​

Answers

Answer:

jordan drinks 4.5 cup of water

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