Answer:
2.8 hours
Step-by-step explanation:
Distance = rate * time
If the west-bound train travels at a rate of 80 mph for t hours, then the distance it travels is 80t.
If the east-bound train travels at a rate of 90 mph for t hours, then the distance it travels is 90t.
The distance between the trains after t hours is 476; therefore, the distance of the west-bound train plus the distance of the east-bound train equals the total distance between them, 476:
80t + 90t = 476 and
170t = 476 so
t = 2.8 hours
3/2x-4=20
We simplify the equation to the form, which is simple to understand
3/2x-4=20
We move all terms containing x to the left and all other terms to the right.
+2x=+20+4
We simplify left and right side of the equation.
+2x=+24
We divide both sides of the equation by 2 to get x.
x=12
Answer:
The y-intercept for this equation is 22.
Step-by-step explanation:
You can solve this quite easily by assigning a zero value to x and solving for y. That is where the curve will intersect the x-axis:
y = 2(x - 3)² + 4
y = 2(x² - 6x + 9) + 4
y = 2x² - 12x + 18 + 4
y = 2x² - 12x + 22
<em>EDIT</em>
<em>Note that the expression above is in standard form, though it can also be factored if needed:</em>
<em>y = 2(x² - 6x + 11)</em>
Now we can solve for an x value of zero:
y = 2(0)² - 12(0) + 22
y = 22
So the y-intercept is 22.
Answer:
The value of x is 20.
Step-by-step explanation:
The steps are :
0.75x - 13 = 2
0.75x = 2 + 13
0.75x = 15
x = 15 ÷ 0.75
x = 20
The system has a unique solution. Because the augmented matrix can be reduced to the form of the identity matrix.
<h3>What exactly is a linear system?</h3>
It is an equation system in which the maximum power of the variable is always 1. A figure with only one dimension and no breadth. It is made up of infinite dots placed side by side.
The augmented matrix must be reduced to the form of the identity matrix since there are three pivots one in each row.
Whatever is on the opposite side of the equal sign, there is a solution that is specific and exists.
Hence, the system has a unique solution.
To learn more about the linear system, refer to the link brainly.com/question/20379472.
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