Considering that the car does 50 miles per gallon, the linear function for the number of gallons of fuel in Jim's fuel tank, n, in terms of the number of miles x that Jim has driven since filling his tank is given by:
<h3>What is a linear function?</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- Jim's car holds 14 gallons of fuel, hence
.
- Considering it does 50 miles per gallon, and the amount in the tank will decrease, the slope is
.
Hence, the function is:
You can learn more about linear functions at brainly.com/question/25898120
Answer:
Step-by-step explanation:
The rules For fractions: Multiple Denominator to Denominator and Numerator to numerator!
Ok: For number 1
3/5*1/1= 3/5
Number 2
3/4*9/4=27/16= 1 11/16
Number 3
14/21=2/3*33/7=66/21= 3 3/21= 3 1/7
Number 4
6/18*9/42= 1/3*3/14= 3/42= 1/14
Number 5
22/15*45/4= 33/2=16 1/2
Number 6
3/28* 35/6= 105/168= 5/8
Number 7
2/7*35/12=60/84=5/6
Number 8
16/15*21/24=16/15* 7/8=112/120=14/15
Hope It helps!!!!
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Answer:
2) 67.8°
3) 46.8°
4) 56.0°
Step-by-step explanation:
Use the right triangle trig functions
sine, cosine, or tangent and take the inverses to find the angle
The equation of the circle is written as: (x - h)² + (y - k)² = r²
(h,k) are the points of the center of the circle.
r is the radius.
In case of the given equation the center is (-3,-5)
Hope this helps :)
