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Ne4ueva [31]
3 years ago
9

What are the steps to solving systems of equations and inequalities

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
7 0

Step 1: Line up the equations so that the variables are lined up vertically.

Step 2:  Choose the easiest variable to eliminate and multiply both equations by different numbers so that the coefficients of that variable are the same.

Step 3:  Subtract the two equations.

Step 4:  Solve the one variable system.

Step 5:  Put that value back into either equation to find the other equation.

Step 6:  Reread the question and plug your answers back in to check.

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(w-2) (w+5) <br> I need help I don't understand ...
Phantasy [73]
<h3>Answer: w^2 + 3w - 10</h3>

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

Work Shown:

Let x = w-2

This will allow us to replace the (w-2) with x to get...

(w-2)(w+5)

x(w+5)

x*w + x*5 ... distribute

w(x) + 5(x)

Now replace x with w-2 and distribute again

w(x) + 5(x)

w(w-2) + 5(w-2)

w*w + w*(-2) + 5*w + 5*(-2)

w^2 - 2w + 5w - 10

w^2 + 3w - 10

6 0
2 years ago
Read 2 more answers
Based upon historical data, it is known that 8% of 12-egg cartons contain at least one broken egg. A grocery store manager would
kakasveta [241]

Based on the 5 trials, 1 carton of eggs is expected to contain at least one broken egg, on average

<h3>How to determine the number of cartons</h3>

From the question, we understand that only one of the first 10 double-digit numbers is between 01 and 08

This means that:

The average carton or the expected value of eggs in the simulation is 1

Hence, 1 carton of eggs is expected to contain at least one broken egg, on average

Read more about expected values at:

brainly.com/question/15858152

4 0
2 years ago
Melissa Costouras obtains a $3,000 loan for darkroom equipment. She makes six monthly payments of $511.18. Determine the APR.
nasty-shy [4]

Using the simple interest formula, it is found that the APR for the loan is of 4.472%.

<h3>What is the simple interest formula and when it is used?</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = A(0)(1 + rt)

In which:

  • A(0) is the initial amount.
  • r is the interest rate, as a decimal.

The parameters for this problem are:

A(t) = 6 x 511.18 = 3067.08, A(0) = 3000, t = 0.5.

We solve the equation for r to find the APR.

A(t) = A(0)(1 + rt)

3067.08 = 3000(1 + 0.5r)

1 + 0.5r = \frac{3067.08}{3000}

1 + 0.5r = 1.02236

r = (1.02236 - 1)/0.5

r = 0.04472.

More can be learned about simple interest at brainly.com/question/25296782

#SPJ1

5 0
1 year ago
Which number is less than 3.58?​
sergiy2304 [10]

Answer:

3 is les than 3.58

Step-by-step explanation:

3 is less than 3.58

4 0
3 years ago
Read 2 more answers
Select the correct answer
kipiarov [429]

Answer:

A

Step-by-step explanation:

Slope = term that multiply x

y intercept = the number without a variable

6 0
2 years ago
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