Answer:
x = 1.47 or x = -7.47
Step-by-step explanation:
x²+6x+9=20
This is a quadratic equation
x²+6x+9-20=0
x²+6x-11=0
Step 1 : Write the quadratic formula
x = -b±√b²-4(a)(c)
2a
Step 2 : Substitute values in the formula
a = 1
b = 6
c = -11
x = -6±√6²-4(1)(-11)
2(1)
x = -6±√80
2
x = -3 + 2√5 or x = -3 - 2√5
x = 1.47 or x = -7.47
!!
Answer:
x=1.472 or x=-7.472
Step-by-step explanation:
Lets begin by rearranging the equation into the format ax²+bx+c=0
The equation will be:
x²+6x+9-20=0
x²+6x-11=0
We shall use the quadratic formula to solve the equation.
x=[-b±√(b²-4ac)]/2a
=[-6±√(6²-4×1×-11)]/2
=[-6±√80]/2
=[-6±8.944]2
x= Either (-6+8.944)/2 or x= (-6-8.944)/2
Solving for x in each case gives:
x=1.472 or x=-7.472
Answer:
When x=0, y=4...
Therefore:
4=a*b⁰
b⁰=1, so a=4.
----------
When x=1, y=2...
Therefore:
2=4*b¹
4b=2
b=2/4
So... b=1/2.
This means that:
y=4*((1/2)^x)
Step-by-step explanation:
Answer:
$30
Step-by-step explanation:
$30
Answer:
he will get $15.60 profit for every one pair of shoes he sells
Step-by-step explanation: yep your welcome
Amy prefers office buildings as her clients because even though she earns a lower hourly rate, the steady income and potentially reduced workload make it a more appealing option compared to homeowners.
Homeowners:
Hours of Work: Amy spends an average of 2 hours per month on maintaining a homeowner's yard.
Payment: She is paid $300 per month for this service.
Office Buildings:
Hours of Work: Amy spends 35 hours per month on landscaping for office buildings.
Payment: She receives $2800 per month for providing landscaping services to office buildings.
Now, let's calculate Amy's hourly rate for each type of client:
Homeowners:
Hourly Rate = Payment / Hours of Work
Hourly Rate = $300 / 2 hours
Hourly Rate ≈ $150 per hour
Office Buildings:
Hourly Rate = Payment / Hours of Work
Hourly Rate = $2800 / 35 hours
Hourly Rate =$80 per hour
From the calculations, we can see that Amy's hourly rate for homeowners is significantly higher ($150 per hour) than for office buildings ($80 per hour).
This means that Amy earns more per hour of work from homeowners compared to office buildings.
So, despite the lower hourly rate, the steady income and potential ease of managing a smaller number of office building clients could make Amy prefer them over homeowners as her primary clientele.
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