Answer:
17 white sweatshirts were sold and 19 yellow sweatshirts were sold.
Step-by-step explanation:
Let <em>w</em> represent the number of white sweatshirts sold and <em>y</em> represent the number of yellow sweatshirts sold.
We can write a system of equations to represent the situation.
Since the store sold a total of 36 sweatshirts, the sum of the white and yellow sweatshirts must total 36. So:
And since each white sweatshirt cost $10.95 and each yellow sweatshirt cost $11.50 and the total profit was $404.65:
Solve the system. I'll use substitution this time (though elimination will work just as perfect). From the first equation, subtract <em>w</em> from both sides:
Substitute this into the second:
Distribute:
Simplify:
Divide both sides by -0.55:
So, 17 white sweatshirts were sold.
Using the modified equation, substitute:
Therefore, 17 white sweatshirts were sold and 19 yellow sweatshirts were sold.
Answer:
In this equation, the value of x is equal to 6.
Step-by-step explanation:
We are given an algebraic equation in which we need to solve for x.
We can use several properties and algebraic methods to solve this equation.
Firstly, we want to use the distributive property to evaluate the first term in the equation: -6(x - 3).
By distributing the -6 through, we get -6x and positive 18. Then, we need to begin combining like terms. Let's start with our constants (or the terms without a variable).
Then, we can combine our terms with variables.
Now, we can use the subtraction property of equality which states that if we subtract a term from one side of an equation, we must also subtract it from the opposite side. Therefore, we want to get x by itself, so we can subtract 21 from both sides using the subtraction property of equality to do this.
Finally, we can use the division property of equality and divide both sides of the equation by -5 to isolate x.
Therefore, by solving the multi-step equation, we solved that x = 6.
Okay, so first off, if you need to graph anything, I suggest Desmos, it's a website with an online graphing calculator. It saved my life for highschool geometry.
Now, to answer your question, your y-intercept is going to be at point (0,2). Your x-intercepts are going to be at points (-2,0) and (-4,0). Your point is at (-3,-1). And then your lines simply extend from there.
Hope this isn't too late to be helpful, good luck with your assignments.
Answer:
Its right
Step-by-step explanation:
Answer: OPTION C.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Notice that the line of f(x) is dashed. This means that the symbol of the inequality must be 
or 
.
Since the shaded region A is above the line, the symbol is
Observe that its y-intercept is:
The line of g(x) is solid. This means that the symbol of the inequality must be 
or 
.
Since the shaded region B is below the line, the symbol is .
Observe that its y-intercept is:
.
Based on this, we can conclude that the graph represents the following System of Inequalities:
