Answer:
20
Step-by-step explanation:
Step 1: find the derivative of y = x^2 + 12x - 7; it is 2x + 12.
This function represents the slope of the tangent line to the given curve at x.
Step 2: Substitute 4 for x in f '(x) = 2x + 12: f '(4) = 2(4) + 12 = 20
The slope of the tangent line to the graph of y = x^2 + 12x - 7 at x = 4 is 20.
Answer:
Step-by-step explanation:
In these two lines that intersect, we can see that 4 angles are opposite from each other. This means that they are vertical angles and therefore equal. 2 of these angles have values next to them, which happen to be across from each other.
Based on this, we know that they are equal. If we write this as an equation, we can solve it to find the value of x.
75º = (4x - 25)º
Add 25º to both sides of the equation
100º = 4x
Divide both sides of the equation by 4 to isolate x
x = 25
Let me know if you have any questions!
Answer:
C, and x=30
Step-by-step explanation:
Equations for each problem:
A) 150 =3(10)+6x
120=6x
x=20
B)150-x=60
x=90
C) 150 -3x =60
3x=90
x=30
D)x=60/3
x=20
Answer:
The system has no solution
Step-by-step explanation:
we have
y=5x+10 -----> equation C
The slope of the equation C is m=5 and the y-intercept is b=10
y=5x+2 -----> equation D
The slope of the equation C is m=5 and the y-intercept is b=2
Remember that
If two lines are parallel, then their slopes are the same
Equation C and equation D are parallel lines with different y-intercept
therefore
The system has no solution (the lines do not intersect)
Answer:
A) £650 = $1053
B) $405 = £250
Step-by-step explanation:
For a) Since £1 is equal to $1.62 you would just do £650 times 1.62 to get $1053
For b) Since £1 is equal to $1.62 you would do $405 divided by 1.62 to get £250
