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3 years ago

Solve each of the following equations for the given variable using proper algebraic notation. Show ALL work for full marks.

Mathematics

1 answer:

icang [17]3 years ago

6 0

Answer:

3x=42

Divide 3x to both sides

14=x

56=8x

Divide 8 to both sides

7=6

6x+4=40

subtract 4 to both sides

6x=36

divide 6 to both sides

x=6

58=4x-6

add 6 to both sides

64=4x

divide 4 to both sides

16=x

Step-by-step explanation:

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jaime bought a jar of 50 vitamins. his two children each take one vitamin each day. the number of vitamins left in the jar after

Reil [10]

Answer:

Step-by-step explanation:

f(x) = 50 - 2x

x = 0 when the vitamins are bought and none have been taken 9 that is day 0).

So the intercept on the y axis 50 - 2(0) = 50 represents this situation ( day = 0 and number of vitamins = 50).

When all the vitamins have been taken f(x) = 0 so we have

50 - 2(25) = 0 This is the intercept on the x axis ( x = 25 days).

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2 years ago

The function p(t) represents the value of a new car t years after it was manufactured.

Yakvenalex [24]

Answer:

The value of the car is 0.94 times the value of the car the previous year.

5 0

3 years ago

Read 2 more answers

What is the first step to solve the following system of equations using substitution?

Akimi4 [234]

Answer:

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

Thus, option A) is true.

The solution to the system of equations be:

$x = 4, y = 5$

Step-by-step explanation:

It is important to remember that when we solve the system of equations, the first step we need to do is to solve one of the equations for one of the variables.

Given the system of equations

$x - y = -1$

$2x - y = 3$

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

$x-y=-1$

Add y to both sides

$x-y+y=-1+y$

$x=-1+y$

Thus, option A) is true.

<u>NOW LET US SOLVE THE REMAINING PORTION</u>

$\mathrm{Subsititute\:}x=-1+y$ to solve for y

$\begin{bmatrix}2\left(-1+y\right)-y=3\end{bmatrix}$

$-2+y=3$

$y=5$

For x = -1 + y

substitute y = 5

$x=-1+5$

$x=4$

Thus, the solution to the system of equations be:

$x = 4, y = 5$

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2 years ago

Including 6% sales tax, an inn charges $135.68 per night. Find the inns nightly cost

Andru [333]

135.68(1+0.06)^1= 144

4 0

3 years ago

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Solve 6[4x(72-63)divided3]

GREYUIT [131]

Parentheses first, 72-63 is 9 next multiply by 4 which is 36 the you’ll divide by 3 now you have 12 so multiply that by 6 and you get 72. Just a hint, another way to write that without using the multiply or the divided would be 6[4(72-63)/3] but either way you want is fine. Hope this helped :)

3 0

3 years ago