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murzikaleks [220]
3 years ago
15

Solve 5x - c = k for x Answers above

Mathematics
2 answers:
sergij07 [2.7K]3 years ago
6 0

To get <em>x</em> by itself, we first isolate the x term

by adding c to both sides to get 5x = k + c.

Next we divide both sides by 5 and we

have x= \frac{k + c}{5} which is our final answer.

Rama09 [41]3 years ago
5 0

Answer:

x = ( k+c)/5

Step-by-step explanation:

5x - c = k

Add c to each side

5x -c+c = k+c

5x = k+c

Divide by 5

5x/5= ( k+c)/5

x = ( k+c)/5

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Answer:

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Step-by-step explanation:

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Aisha is going to ship some gifts to family members, and she is considering two shipping companies. The first shipping company c
olasank [31]

Answer Step-by-step explanation:

Word (story) problems are easy if you use a table to translate the words to precise, concise math variables and operations.  For example,

      Is means                =

    Larger than                                   +

     Four times a                           4*a

    F is 550 less than S                F = S – 550

      Total of A, B, C                       A + B + C  

This seems obvious – until you get stuck on a word problem.  So,

 “the first company” ,  “a second company”      becomes       Let their costs be F and S

                                                                                                 Let K be the number of kilograms

  “$20 to ship a medium box, plus an additional $2 per kilogram”           F =  $20 + 2*K

   “10 for the same size of box, plus an additional $3 per kilogram”           S  =  $10 + 3*K

  “the two shipping methods will cost the same amount”                               F = S

 “What is that weight?”                                                                             report K

 

Now, the math:

        F        =        S

  20 + 2K   =   10 + 3K

     $10  =  K

3 0
3 years ago
Write the equation of the quadratic function whose graph passes through <img src="https://tex.z-dn.net/?f=%28-3%2C2%29" id="TexF
blagie [28]

Answer:

f(x)=x^2+3x+2

Step-by-step explanation:

We want to write the equation of a quadratic whose graph passes through (-3, 2), (-1, 0), and (1, 6).

Remember that the standard quadratic function is given by:

f(x)=ax^2+bx+c

Since it passes through the point (-3, 2). This means that when x=-3, f(x)=f(-3)=2. Hence:

f(-3)=2=a(-3)^2+b(-3)+c

Simplify:

2=9a-3b+c

Perform the same computations for the coordinates (-1, 0) and (1, 6). Therefore:

0=a(-1)^2+b(-1)+c \\ \\0=a-b+c

And for (1, 6):

6=a(1)^2+b(1)+c\\\\ 6=a+b+c

So, we have a triple system of equations:

\left\{        \begin{array}{ll}            2=9a-3b+c &\\           0=a-b+c \\6=a+b+c        \end{array}    \right.

We can solve this using elimination.

Notice that the b term in Equation 2 and 3 are opposites. Hence, let's add them together. This yields:

(0+6)=(a+a)+(-b+b)+(c+c)

Compute:

6=2a+2c

Let's divide both sides by 2:

3=a+c

Now, let's eliminate b again but we will use Equation 1 and 2.

Notice that if we multiply Equation 2 by -3, then the b terms will be opposites. So:

-3(0)=-3(a-b+c)

Multiply:

0=-3a+3b-3c

Add this to Equation 1:

(0+2)=(9a-3a)+(-3b+3b)+(c-3c)

Compute:

2=6a-2c

Again, we can divide both sides by 2:

1=3a-c

So, we know have two equations with only two variables:

3=a+c\text{ and } 1=3a-c

We can solve for a using elimination since the c term are opposites of each other. Add the two equations together:

(3+1)=(a+3a)+(c-c)

Compute:

4=4a

Solve for a:

a=1

So, the value of a is 1.

Using either of the two equations, we can now find c. Let's use the first one. Hence:

3=a+c

Substitute 1 for a and solve for c:

\begin{aligned} c+(1)&=3 \\c&=2 \end{aligned}

So, the value of c is 2.

Finally, using any of the three original equations, solve for b:

We can use Equation 3. Hence:

6=a+b+c

Substitute in known values and solve for b:

6=(1)+b+(2)\\\\6=3+b\\\\b=3

Therefore, a=1, b=3, and c=2.

Hence, our quadratic function is:

f(x)=x^2+3x+2

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monitta
We can't tell. We need to know how the angles N and L are related.
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