Answer:
y-intercept: (0,5); x-intercept: (5/2, 0)
Step-by-step explanation:
The equation of the line is given: -4x + 7 = 2y - 3.
To find the x-intercept, set y = 0 and solve for x:
-4x + 7 = 0 - 3. This becomes -4x = -10, or x = 5/2. The x-intercept is (5/2, 0).
To find the y-inercept, set x = 0 and solve for y:
0 + 7 = 2y - 3, or 2y = 10, or y = 5. Then the y-intercept is (0, 5).
Use the formula a squared plus b squared =csquared in this case you will come out with an equation like this
3sqaured + bsqaured =12squared
9+bsqaured =144
144-9= b= 135
B=approximately 11.5
Answer:
C.) f(x) = −4x + 200
Step-by-step explanation:
Since the number is decreasing, you know the slope will be negative, eliminating the first two choices. The equation in the last choice does not match the given data, so it can be eliminated.
In other words, the easiest way to solve this problem is to check the answers against the given data.
_____
If you want to write the equation from scratch, you need to find the slope. That is ...
(change in number of cars)/(change in weeks) = (184 -192)/(4 -2) = -8/2 = -4
This matches only one answer, but you can go on to finish the equation by starting with point-slope form:
y -192 = -4(x -2)
y = -4x +8 +192 . . . . add 192, eliminate parentheses
y = -4x + 200 . . . . matches choice C.)
Step-by-step explanation:
A) Let X= the number of weeks 46 times 3/4 = 72. And 135+72 x >_ 580
B) 135+72 x >_ 580. 580-135. 72/72 >_ 445/72
x >_ 6.2
She must work a minimun of 7 weeks to get $580.
Answer:
5 hours.
Step-by-step explanation:
- If the train travels at a speed of 80 kilometers per hour, and a kilometer is equivalent to 1000 meters, then the train travels at a speed of
- Then, to reach the 400,000 meters, it will take
, 5 hours.