1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
musickatia [10]
3 years ago
11

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The numb

er b varies directly with the number a. For example b = 2 when a = –2. Which equation represents this direct variation between a and b?
Mathematics
2 answers:
stiks02 [169]3 years ago
8 0
Y=kx is the equation for direct variation
Serhud [2]3 years ago
8 0

Answer:

The equation is b = -a

Step-by-step explanation:

Given,

The number b varies directly with the number a,

That is, we can write,

b ∝ a

⇒ b = ka

Where k is the constant of proportionality,

Given, if b = 2 then a = -2,

By substituting the value,

2 = k(-2)

⇒ k = -1

Hence, the equation that represents the direct variation between a and b is,

b = -a

You might be interested in
. Sara teaches aerobics classes as a part-time job. The amount of money she earned is shown in the table below. Based on the inf
nikitadnepr [17]

Answer:

She should earn 225 dollars.

Step-by-step explanation:

I know this because 50 ÷ 4 = 12.5 and 12.5 × 18 = 225.

3 0
2 years ago
John opens a savings account with $1,000 that compounds interest daily. The APR at the time John deposits the account is 3.5%. H
3241004551 [841]
\bf \qquad  \qquad  \textit{Annual Yield Formula}
\\\\
\qquad \qquad \left(1+\frac{r}{n}\right)^{n}-1
\\\\
\begin{cases}
r=rate\to 3.5\%\to \frac{3.5}{100}\to &0.035\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{daily, so in a year is 365}
\end{array}\to &365
\end{cases}
\\\\\\
\left(1+\frac{0.035}{365}\right)^{365}-1

you'll get a decimal format, just multiply it times 100, to get the % format
6 0
3 years ago
Read 2 more answers
IN (3)
svetoff [14.1K]

Answer:

(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product

(b) y  =2x +5

Step-by-step explanation:

Given

The attached table

Solving (a): The rule of the table in words

First, we calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

Using:

(x_1,y_1) =  (2,9)

(x_1,y_1) =  (10,25)

So, we have:

m = \frac{25 - 9}{10 - 2}

m = \frac{16}{8}

m=2

The equation is calculated using:

y - y_1 =m(x - x_1)

Using:

(x_1,y_1) = (6,17)

We have:

y - 17 =2(x - 6)

y - 17 =2x - 12

Make y the subject

y  =2x - 12+17

y  =2x +5

Hence, the rule is:

Multiply the input (x) by 2 and add 5 to the result of the product

(b): The rule, in algebra

As solved in (a), the rule is:

y  =2x +5

8 0
3 years ago
HELP PLEASE <br> 5/12-(x-3)/6≤(x-2)/3<br> Solve with a step by step solution
zlopas [31]

Answer:x>3 1/6

Step-by-step explanation:

5/12-(x-3)/6 <(x-2)/3

5/12 *12-(x-3)/6*12<(x-2)/6*12

5-2(x-3)<4(x-2)

5-2x+6<4x-8

-2x+11<4x-8

-2x<4x-19

-6x<-19

-6x(-1)<-19(-1)

6x>19

x>19/6

x>3 1/6

just change all the inequality signs to a x is greater or equal to 3 1/6 and on the rest change to and < and equal sign only put > or equal sign on the last three lines

8 0
3 years ago
Part D ? Question Suppose the cylindrical water tank has a radius of 12 feet. Use this information and the equation modeling the
Wittaler [7]

The volume of the cylindrical water tank that has a length of 20 feet and a radius of 12 feet is about <u>9,048</u> cubic feet.

The correct option is option <em>d</em>;

d. 9,048

<h3>What is the volume of a solid?</h3>

The volume of a solid indicates the amount of space the solid takes at a location.

The formula for finding the volume of the cylindrical tank is presented as follows;

<em>V</em> = π·r²·L

Where;

r = The radius of the tank

L = The length of the tank

From a similar question on the website, we have;

The length of the tank, <em>L</em> = 20 feet

Therefore;

The volume of the tank, <em>V</em> = π × 12² × 20 ≈ 9048

  • The volume of the water tank is about <u>9,048</u> cubic feet

Learn mort about finding the volume of a solid here:

brainly.com/question/23725200

# SPJ1

8 0
1 year ago
Other questions:
  • An arithmetic sequence is shown below. You are not given many terms of this sequence, but you do have enough to fill in the miss
    13·1 answer
  • What is the opposite of 1/3 and of -7/12
    8·1 answer
  • Ans is 1 .I want the method​
    6·1 answer
  • Brian wants to put this picture in the school newspaper in a space that is 5 inches tall. If he enlarges the picture proportiona
    6·1 answer
  • What is 15/124x230/30÷230/124
    10·1 answer
  • Pleaaaaaasssseeeeee help me with this
    7·2 answers
  • A how air ballon roses 474 feet. It then descends 130 feet. Find the elevation of the ballon is it started at sea levels.
    6·1 answer
  • Can anyone solve this?
    14·1 answer
  • How to solve -(y+-6)=-1
    6·1 answer
  • If the volume of the right prism shown is 27 ft3, then h = __feet.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!