Answer:
x = 1/4
y = 5 2/4
Step-by-step explanation:
Given two equations
1. 10x + 3y = 19
2. y = 2x + 5
Substitute 2x + 5 for y in the first equation
We have
10x + 3y = 19
10x + 3(2x + 5) = 19
Expand the bracket
10x + 3 X 2x + 3 X 5 = 19
10x + 6x + 15 = 19
16x + 15 = 19
Subtract 15 from both sides to eliminate 15 on the left
16x + 15 - 15 = 19 - 15
16x = 4
Divide both sides by 16 to isolate x
16x/16 = 4/16
x = 1/4
Now, substitute 1/4 for x in either equation to get y.
Using equation 2 , we have
y = 2x + 5
= 2(1/4) + 5
= 2/4 + 5
LCM of the denominator is 4.
Divide the LCM by the denominators and multiply the results by the numerators. Also, the LCM becomes the denominator of the results
Therefore
= 2 + 20/4
= 22/4
y= 5 2/4
x = 1/4 , y = 5 2/4
Answer:
No, each ordered pair in this list has the same first element.
Step-by-step explanation:
An input can only have 1 output, but multiple inputs can have the same output. How you can check this if you have a graph is if you can draw a straight line (top to bottom) anywhere on the graph and it intersects with the line once or not at all.
Answer:
6 to the power of 2.
Step-by-step explanation:
Recall that whenever you divide exponents with the same base, you subtract the powers, but the base will still be the same. Therefore, 6 to the power of 12 divided by 6 to the power of 10 is 6 to the power of 2. Subtract the powers (exponents) or 12 minus 10, and you get 2. Since the base doesn't change, it is still 6. The solution to this expression is 6 to the power of 2. Hope this helps!
Answer:
10 units and 157.84 units
Step-by-step explanation:
4
substitute t = 1 into the equation
h = - 16(1)² + 6 = - 16 + 6 = - 10
the value is negative since the ball travels down
the ball has travelled 10 units after 1 second
5
substitute t = 3.2 into the equation
h = - 16(3.2)² + 6 = - 16(10.24) + 6 = - 163.84 + 6 = - 157.84
the well is 157.84 units deep
