N= -112/5. Use mathpapa for step by step don’t use in school teachers will know.
Answer:
36 degrees
Step-by-step explanation:
since, m<AOB is a right angle, we shall just create an equation:
M<AOB+M<BOC=90 degrees
Substitute: 6z-12+3z+30=90
Solve: 6z+3x=9z
-12+30=18
so, 9z+18=90 degrees
-18 -18
9z=72
z=8
So if z=8, then we should fit it so that it matches measure of AOB.
6z-12
6 times 8=48
48-12= 36
Answer:
A hot dog would cost 1.75 and the juice would cost 1.05
Step-by-step explanation:
In order to find this, set x as the number of hot dogs and y as the number of juice drinks. This allows us to set up the following equations for each situation.
6x + 4y = 14.70
3x + 4y = 9.45
Now we can mutliply the second equation by -2 to get the x values to cancel out.
6x + 4y = 14.70
-6x - 8y = -18.90
------------------------
-4y = -4.20
y = 1.05
Now that we have this, we can plug it into either equation to find the cost of a hot dog.
3x + 4y = 9.45
3x + 4(1.05) = 9.45
3x + 4.20 = 9.45
3x = 5.25
x = 1.75
Answer:
y = 43x − 25
Step-by-step explanation:
Evaluate the function at x=1:
f(x) = 12x³ + 3x² + x + 2
f(1) = 12 + 3 + 1 + 2
f(1) = 18
Find the slope of the tangent line at x=1:
f'(x) = 36x² + 6x + 1
f'(1) = 36 + 6 + 1
f'(1) = 43
Point-slope form:
y − y₀ = m (x − x₀)
y − 18 = 43 (x − 1)
Convert to slope-intercept form:
y − 18 = 43x − 43
y = 43x − 25
Graph:
desmos.com/calculator/giumpkkphr
