Answer: option 4 is the correct answer.
Step-by-step explanation:
The graphs shown in the photo are plots of distance versus time.
Distance travelled = speed × time
On a run, Natasha ran for 1 1/4 hours at a speed of 6 miles per hour. The distance that she covered would be
6 × 1.25 = 7.5 miles
She then rested for 1/4 hour. This means that her speed is 0 and the distance covered is also 0 miles.
She then ran for another hour at a speed of 5 miles per hour. Distance covered would be
5 × 1 = 5 miles
Total time spent would be
1.25 + 0.25 + 1 = 2.5 hours
Total distance covered would be
7.5 + 5 = 12.5 miles
Therefore, the 4th graph best represents the distance she traveled
Multiply the bracket by 5
I used PEMDAS
P= parenthesis
E= exponents
M=multiplication
D= division
A= addition
S= subtraction
7r+2= 5(r-4)
7r+2= 5r-20
Move 5r to the left hand side . Positive 5r changes to negative 5r
7r-5r+2= 5r-5r-20
2r+2=- 20
2r+2-2= -20-2
Move positive 2 to the right hand side. Changes to negative -2
2r+2-2= -20-2
2r= -22
Divide by 2 for 2r and -22
2r/2= -22/2
r= -11
Answer is r= -11
Add up all the 'x's: (1 of them) plus (3 of them) = 4 'x's
Add up the just-plain-numbers: 93 + 18 = 111
Write them together: 4x + 111
Answer:
x = 4
y = -1
z = 3
Step-by-step explanation:
Let 1st number = x
Let 2nd number = y
Let 3rd number = z
x+y+z=6
x+y=z
x=z+1
(Apply Simultaneous Equations)
Hence:
z+z=6
2z=6
z=6/2
z=3
Now:
x+y=3
x=3+1
x=4
Now:
4+y=3
y=3-4
y=-1
I want to believe the equation is,
f(x) = -5/x
This can be written as;
f(x) = y
y = -5 x⁻¹
derivative = dy/dx = (-1)(-5)x(⁻1-1)
= 5x⁻²
Derivative at x=11,
dy/dx = 5(11)⁻²
= 5/(11²)
= 5/121
So, the derivative of f(x) = -5/x at x=11 is 5/121.
