A linear equation that represents the model is: x + 6 = 10; x = 4
<h3>How to solve linear equations?</h3>
Let us first define the variables based on the attached image of the ball balance:
Let x = number of balls that contains the square.
On the left side, we have; square + 6 balls
On the right side, we have; 10 balls
To balance this, we have;
x + 6 = 10
x = 10-6
x = 4
Thus, a linear equation that represents the model is:
x + 6 = 10; x = 4
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Answer:
Step-by-step explanation:
17.3664
x
3
+
2
x
2
−
7
x
−
14
x3+2x2-7x-14
Factor out the greatest common factor from each group.
Tap for more steps...
x
2
(
x
+
2
)
−
7
(
x
+
2
)
x2(x+2)-7(x+2)
Factor the polynomial by factoring out the greatest common factor,
x
+
2
x+2.
(
x
+
2
)
(
x
2
−
7
)
hope i helped! (sorry if wrong)
Answer:
D. 10
Step-by-step explanation:
If he hits 8 swings every 24 swings, that gives you a ratio of 1 hit:3 swings. Using this ratio, you can take the 8 hits he already has, and add them on the 6 extra swings he did to get 30 swings. Using the ratio, he hits 2 more, and 8+2=10, so D.
Answer:
- The solution is (x, y) = (-2, 0)
- A graph is attached
Step-by-step explanation:
The graph shows the solution. The first equation has a y-intercept of -4 and a slope of -2, so will go through the point (-2, 0).
The second equation has a y-intercept of +4 and a slope of 2, so will go through the point (-2, 0).
Both equations have the same x-intercept, so that x-intercept is the solution to the system of equations.