Answer:
First part: -10x-4y=-12
Second half: infinitely many solutions
Step-by-step explanation:
Just did the assignment and got it correct
Josh's monthly fuel expenses are $1,050.
<h3><u>Prices</u></h3>
Given that Josh is looking to get a new car because he decided he was spending too much on gas, and over the past year he found that he drove 7,700 miles, and at current gas prices of $4.5 he was getting about 27 miles per gallon, To determine, if he bought a vehicle that realizes 33 miles per gallon, what might be a reasonable estimate of monthly gas costs, the following calculation must be made:
- 27 = 100
- 33 = X
- 3300 / 27 = X
- 122.22 = X
- 122.22 = 100
- 100 = X
- 10000 / 122.22 = X
- 81.81 = X
- (7700 / 33) x 4.5 = X
- 233.33 x 4.5 = X
- 1050 = X
Therefore, Josh's monthly fuel expenses are $1,050.
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Answer: y = 7x - 6
Step-by-step explanation:
7 = m (slope)
-6 = y-intercept
Here’s what you can do to make this very simple. Consider that the “missing” space between the rectangles isn’t there. Then, find the area:
10 x 9 = 90 mm
Now, find the area of the “missing” part.
5 x 2 = 10 mm
Finally, you deduct the missing part from the complete rectangle!
90 - 10 = 80 mm
The area of this whole thing is 80 mm!
Answer:
See the explanation.
Step-by-step explanation:
We are given the function f(x) = x² + 2x - 5
Zeros :
If f(x) = 0 i.e. x² + 2x - 5 = 0
The left hand side can not be factorized. Hence, use Sridhar Acharya formula and
and
⇒ x = -3.45 and 1.45
Y- intercept :
Putting x = 0, we get, f(x) = - 5, Hence, y-intercept is -5.
Maximum point :
Not defined
Minimum point:
The equation can be expressed as (x + 1)² = (y + 5)
This is an equation of parabola having the vertex at (-1,-5) and axis parallel to + y-axis
Therefore, the minimum point is (-1,-5)
Domain :
x can be any real number
Range:
f(x) ≥ - 6
Interval of increase:
Since this is a parabola having the vertex at (-1,-5) and axis parallel to + y-axis.
Therefore, interval of increase is +∞ > x > -1
Interval of decrease:
-∞ < x < -1
End behavior :
So, as x tends to +∞ , then f(x) tends to +∞
And as x tends to -∞, then f(x) tends to +∞. (Answer)