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
hodyreva [135]
1 year ago
8

if y is directly proportional to x when x = 4 and y = -2, write an equation to model the given relationship. What is x if y = -2

4?

Mathematics
1 answer:
hoa [83]1 year ago
3 0

Direct proportion equations have the following form:

y=kx

Where "k" is the Constant of proportionality.

In this case you know that "y" is directly proportional to "x" and when:

x=4;y=-2

Having these values, you can substitute them into the equation and solve for "k":

\begin{gathered} -2=k(4) \\ \frac{-2}{4}=k \\ k=-\frac{1}{2} \end{gathered}

So, substituting the value of "k" into the first equation shown above, you get that the equation that models the given relationship is:

y=-\frac{1}{2}x

Now, to find the value of "x", when the value of "y" is -24, you must substitute this value into the equation that models the relationship and then solve for "x". Then, you get:

\begin{gathered} -24=-\frac{1}{2}x \\ (-24)(-2)=x \\ x=48 \end{gathered}

Therefore, the answers are:

\begin{gathered} y=-\frac{1}{2}x \\  \\ x=48 \end{gathered}

You might be interested in
Cara evaluated the expression below.
s2008m [1.1K]

Answer:

Cara  multiplied only 4 and 7 together and did not multiply 4 and 13.

Step-by-step explanation:

Let us evaluate the given expression step by step,

\frac{4(7-13)}{3} +(-4)^{2} -2(6-2)\\

We can evaluate this expression in two ways; either by subtracting -13 from 7 and then multiply by 4 or by multiplying 4 to 7  and -13.

\frac{28-52}{3} +16-2(4)

\frac{-24}{3} +16-8

-8+16-8=-16+16=0

Now let us see where Cara made an error. We can see Cara just multiplied only 4 and 7 together and did not multiply 4 to 13.

Therefore, Cara made error in her first step.

5 0
3 years ago
Read 2 more answers
Indira is using a number line to add Negative 1 + (negative 3). She begins by showing –1 on the number line, as shown below.
jarptica [38.1K]
Answer= -4

-1+-3=-4

Step by step-
Add like normal then add the sign since both numbers are negative.
3+1= 4 then add the sign
7 0
3 years ago
Read 2 more answers
Draw algebra tile models to prove that 4+8x and 4(2x+1) are equivalent
aniked [119]
I'm not sure but I hope this helps
4+8x and 4 (2x+1)
4+16 and 4 (4+1)
20 and 4 (5)
20 and 20
4 0
3 years ago
How do it do this ????
V125BC [204]
Because he drove 1542.75 miles in 3 days, you would have to divide 1542.75 by 3 to figure out how many miles he drove in one day.

1542.75/3 = 514.25

Then to figure out how many miles he drove per hour, you would divide 514.25 by 8.5, which is the same as 8 1/2 hours.

514.25/8.5 = 60.5

So the answer is 60.5 mph
4 0
3 years ago
Write the​ point-slope form of the​ line's equation satisfying the given conditions. Then use the​ point-slope form of the equat
Monica [59]
Point slope form: (y-2) = 4(x-6)
Slope-intercept form: y=4x-22
6 0
3 years ago
Other questions:
  • R.<br> BSolve for x.<br> X+19 x+29
    11·1 answer
  • A system of equations is shown below:
    5·2 answers
  • 7th grade math guys!! <br>Proportion equation?? <br>anyone help please???!!
    15·2 answers
  • I have a math final tomorrow and I don’t know how to do this. Someone please help!
    5·1 answer
  • Pleaseeeeee show the work
    5·1 answer
  • HELP PLSSSS I will GIVE BRAINLYEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    12·1 answer
  • Differentiate f() = ( − cos()) sin()
    13·1 answer
  • please help &lt;3 answer anytime i got all the time really! no links or files! If your right BRAINIEST!!!
    9·1 answer
  • For each of the examples below, identify
    8·1 answer
  • 12 1/3b + 6 2/3 - 10 2/3b
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!