Answer:
1) B. $9000
2) A. (4,5)
Step-by-step explanation:
<h2>
Answer:</h2>
By Substitution Method
<h2>
Step-by-step explanation:</h2>
Solve by Substitution :
We have two equations
y = 5x ---------------> Equation 1
y = 2x - 15 ------------> Equation 2
y= 2x - 15 and y= 5x
So Put the value of y in Equ 2
(5x) - 2x = -15
3x = -15
Solve equation [1] for the variable x
3x = - 15
x = - 5
Now
y = 5x
x = -5
Use the x value to solve for y
y = 5(-5) = -25
Solution :
{y,x} = {-25,-5}
So y= -25 and x= -5
Answer:
The graph is the empty number line (no solution)
Step-by-step explanation:
Your expression is (x-8)² < 0. There are no real numbers that give a negative value when squared. There is NO SOLUTION. The graph is empty.
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<em>Comment on quadratic inequalities</em>
In general the inequality (x-a)(x-b) < 0 will have a solution when one factor is negative and the other is positive. In general, that will be the case for values of x that are strictly between <em>a</em> and <em>b</em>. In your inequality, that would require you graph numbers that are between 8 and 8. There are none.
Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours
<h3>How to graph the inequality?</h3>
Let x represents hours babysitting and y represents hours tutoring
So, we have:
Earnings = Rate of babysitting * x + Rate of tutoring* y
This gives
Earnings = 5x + 10y
He wants to earn at least $95.
This means that:
5x + 10y ≥ 95
See attachment for the graph of the inequality
From the attached graph, two possible solutions are: (5, 7) and (8, 5.5)
This means that Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours
Read more about inequalities at:
brainly.com/question/25275758
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