Answer:
x = 2
Step-by-step explanation:
subtract 20x from both sides
divide both sides by -14
add 1 to both sides
Answer:
Linear function
y = 2x - 1
Step-by-step explanation:
This is a linear function because the line is straight, having no curved.
The equation for a linear graph is y=mx + b.
x and y represent points on he graph.
"m" represents the slope of the graph. Reading from left to right, if a positive slope, then the graph continues upward. If negative, then it's a graph down downwards.
"b" represents the y-intercept, when the graph hits the y-axis. It's also the initial value.
In the photo, we can see the y-intercept is (0, -1).
Slope is calculated by rise over run. Choose two random points on the graph. Count the "rise", or how many vertical units are between the points. If the point on the right is lower than the point on the left, the rise is negative. Count the "run", which is the number of horizontal units between the points.
For the point (0, -1) and (3, 5).
m = rise/run
m = 6/3
m = 2
Substitute m=2 and b= -1 into the equation of a line.
y = 2x - 1
Answer:
x = 16°
4x-7 = 57°
3x+4 = 52°
5x-9 = 71°
Step-by-step explanation:
All angles of any triangle add up to 180°, so if we add up each equation and set it equal to 180 we can find x.
4x-7 + 3x+4 + 5x-9 = 180
Simplify by combining like terms.
12x-12 = 180
Then, do inverse operations to find x.
12x=192
x=16
Now that we found x, we can substitute 16 for x in each angle equation in the triangle.
4(16)-7 = 57
3(16)+4 = 52
5(16)-9 = 71
