The slope of the function for rise/run would be 3/2, this is because;
The function passes through (-5,1) and (1,10). Lets find the change on the y and x axis.
For the x axis;
-5 to 1.
That is a change of positive 6.
-5+6=1
For the y axis;
1 to 10.
That is a change of positive 9.
1+9=10
For the slope we must put rise (change in y axis) over run (change in x axis) to get 3/2 when simplified from 9/6.
For every 2 units of rise in the x axis the y axis rises by 3.
Answer:
1).
2).
Step-by-step explanation:
In this question we have to write the fractions in the factored form.
Rational expressions are and .
1).
Factored form of the denominator (x² - x - 12) = x² - 4x + 3x - 12
= x(x - 4) + 3(x - 4)
= (x + 3)(x - 4)
Therefore.
2).
Factored form of the denominator (x² - 16) = (x - 4)(x + 4)
[Since (a²- b²) = (a - b)(a + b)]
Therefore,
Answer:
Step-by-step explanation:
x-10/100x
Answer:
X=-6
Step-by-step explanation:
4(1−x)+3x=−2(x+1)
(4)(1)+(4)(−x)+3x=(−2)(x)+(−2)(1)(Distribute)
4+−4x+3x=−2x+−2
(−4x+3x)+(4)=−2x−2(Combine Like Terms)
−x+4=−2x−2
−x+4=−2x−2
Step 2: Add 2x to both sides.
−x+4+2x=−2x−2+2x
x+4=−2
Step 3: Subtract 4 from both sides.
x+4−4=−2−4
x=−6
Answer:
x=−6
Answer: f(3)
Step-by-step explanation:
First find the formula for the rate of change by taking the derivative of 2^x. Let f(x) equal some hypothetical y-value, then take the natural log of both sides.
Implicitly differentiate the left side and take the derivative of the right side
Multiply both sides by 'y' which was defined as 2^x
Plug in x = 2 and x = 3 to see which slope is larger