The third one is the correct answer
In an inverse variation, the function takes the form xy=k
where k is a constant.
Given g(10)=3.5, we find k=xy=3.5*10=35.
This means the function is
m*g(m)=35
When g(m)=5, then m=35/5=7.
Answer:
a) The equation has the greatest slope.
Step-by-step explanation:
The table has the values as shown below;
x y
1 3
2 6
3 9
The gradient of the line can be found as;
m=Δy/Δx
m= 9-3 /3-1
m= 6/2
m₁= 3
The equation of the other line is : y=4x
The gradient is , m₂ = 4
The presentation with the greatest slope is the equation that has a slope of 4.
Hey there!
We'll be writing them in slope-intercept form. Slope intercept form is defined as:
y = mx + b
With m being the slope and b as the y-intercept. Now, we can just plug them in.
1)
y = -3x - 2
Slope = -3
Y intercept = -2
2) y = 5x + 7
Slope = 5
Y intercept = 7
3) y = -3/4x + 3
Slope = -3/4
Y intercept = 3
4) y = 5/2x - 6
Intercept = -6
Slope = -5/2
Hope this helps!
Answer:
The answer is
Step-by-step explanation:
Given: f(x) = 3 + 2x - x²
To compute f(3 + h) substitute x = 3 + h.
Similarly, to compute f(h) simply substitute x = h.
We are asked to compute 
f(3 + h) = 3 + 2(3 + h) - {(3 + h)²}
= 3 + 6 + 2h - {9 + 6h + h²}
= 9 + 2h - 9 - 6h - h²
= - 4h - h²
Now, f(h) = 3 + 2h - h²
f(3 + h) - f(h) = -4h - h² - 3 - 2h + h²
= -6h - 3
which is the required answer.
