Answer:
B. y = 0.097x + 11.142
Step-by-step explanation:
In order to find the best equation to descibe the housing price, we have to calculate the slope of the line first.
The equation of the line can be written as
where m is the slope and q the y-intercept.
In order to have the most accurate estimate for the slope, we use the first point and the last point, that are:
(1900, 196)
and
(2200, 225)
The slope of the line is calculated as:
So, the slope of the line is 0.097.
Therefore, the correct option is the only one having a slope of 0.097, which is:
B. y = 0.097x + 11.142
Answer: 3/20
Step-by-step explanation:
12/80 is simplified to 3/20
Answer:
P(x)=-2x^2+34x+98
The cost function is given by c(x)=21x-98
And the revenue function is given by r(x)=55x-2x^2
The profit function is the difference of revenue function and the cost function. Mathematically, we can write
p(x)=r(x)-c(x)
Substituting the values, we get
p(x)=55x-2x^2-(21x-98)
p(x)=-2x^2 + 34x = 98
Therefore, the profit function is
p(x) = -2x^2 + 34x + 98
Step-by-step explanation:
First, Multiply 77.1 by 8 to find how many feet the submarine has dived.
77.1 × 8 = 616.8
Since the question is asking the submarines position "in relation to the surface," this number needs to be negated.
616.8 ⇒ -616.8
<h2>Answer:</h2>
<u>The submarine is at </u><u>-616.80 ft</u><u> in relation to the surface, so </u><u>option B</u><u> is correct.</u>
Lets x is the amount of money Paul spent
y is the amount of money John spent
<span>Henry spent 3 times as much as paul = 3x
so
</span>John and paul spent $45 altogether: <span>x + y = 45
</span> john and henty spent $65 altogether: 3x+y = 65
solve the equations
3x+y = 65
x + y = 45
---------------subtract
2x = 20
x = 10
x + y = 45
y = 45 - x
y = 45 - 10
y = 35
3x = 3(10) = 30
so
Paul spent $10 (x)
John spent $ 35 (y)
Henry spent $30 (3x)
answer: John spent $ 35
double check:
$ 35 + $ 10 = $45 (<span>John and Paul spent $45 altogether)
</span>$ 35 + $30 = $65 (<span> John and Henry spent $65 altogether)</span>
