The expression that represent the total amount Ilean earned last week is 27(18) + 75
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the total amount Ilean earned last week for working x hours.
Since she worked for 27 hours and earned $75 to design a web page. Hence:
y = 27(18) + 75
The expression that represent the total amount Ilean earned last week is 27(18) + 75
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Answer:
the object is in the air on the time interval (0.24 sec, 6.51 sec)
Step-by-step explanation:
The object is 'in the air' for all t such that h> 0. We need to find the roots of h = -16t^2 + 108t - 25 = 0. From the graph we see that both t values are positive. Once we find them, we subtract the smaller t from the larger t, which results in the length of time the object is in the air.
Use the quadratic formula to find the roots of h(t). The coefficients of t are {-16, 108, -25}, and so the discriminant b^2 - 4ac is
108² - 4(-16)(-25) = 11664 - 1600 = 10064, whose square root is 100.32.
Then the quadratic formula x = (-b ± √[b² - 4ac)/(2a) becomes
-108 ± 100.32 108 ± 100.32
t = ---------------------- = --------------------- = 3.375 ± 3.135
2(-16) 32
or t = 6.51 or t = 0.24 (both times expressed in seconds).
So, again, the object is in the air on the time interval (0.24 sec, 6.51 sec)
Answer:
You owe $-43.72.
Step-by-step explanation:
Your balance was $-12.83 on Monday. You are writing a check for money you do not have, so you will owe more money.
-$12.83 - $30.89 = -$43.72
Answer:
Step-by-step explanation:
Domain is the set of all values of x where the function is defined. For this function the only limitation upon x exists when the denominator would equal zero, because division by zero is undefined. So the denominator 13-x cannot equal zero thus x cannot equal 13. Thus the domain is all real numbers except 13.
