Answer:
the correct answer is marked (1/2)
Step-by-step explanation:
The average rate of change is the slope of the line between the two points at the ends of the interval.
m = (g(3) -g(-4))/(3 -(-4))
The values of the function we need are ...
g(3) = 5/(3-1) +2 = 2.5 +2 = 4.5
g(-4) = 5/(-4-1) +2 = -1 +2 = 1
So, the slope is ...
m = (4.5 -1)/7 = 3.5/7 = 1/2
The average rate of change is 1/2.
_____
On the attached graph, that value shows up as the coefficient of x in the equation of the line through the two points.
Answer:
Step-by-step explanation:
x=-12
Answer:
x= -12
Step-by-step explanation:
Answer:
No solution
Step-by-step explanation:
add 3 both side
\sqrt{x-4}=-2
When 11/5 is divided by 51/4 then the quotient will be equal to 44/255.
To divide two fractions, multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and the denominator.
So, to calculate (11/5) ÷ (51/4), we can do the following:
(11/5) ÷ (51/4)
= (11/5) × (4/51)
Now, multiply the numerators and denominators:
Numerator: 11 × 4 = 44
Denominator: 5 × 51 = 255
Therefore, (11/5) ÷ (51/4) = 44/255.
Hence, when 11/5 divided by 51/4 equals to 44/255.
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Answer:
44/255
Step-by-step explanation:
Since you you are dividing fraction you have to multiply by the reciprocal.
11/5 x 4/51
11 x 4 = 44
51 x 5 = 255
= 44/255
Answer:
y = x + 1
Step-by-step explanation:
find slope (y2-y1)/(x2-x1)
pick 2 points (0,1) and (1,2)
(2-1)/(1-0) = 1/1 = 1
Since (0,1) you know that y intercept is 1
the equation in slope intercept form: y = x + 1
Answer:
k < -2
Step-by-step explanation:
Step 1: Write inequality
4k + 2(3k + 8) < 3k + 10 - 8
Step 2: Solve for k
Answer:
10k+16<3k+2
10k-3k+16<2
7k<2-16
k<-2
Answer:
n= 21
Step-by-step explanation:
The equation is simple, you just have to reason the sentence, the quotient of a number, this means that the result of the division is 3.5, and the number has to be divided by 6, so the equation would end up looiking like this:
As 6 is dividing and you want to clear N, you just put it on the other side of the equation multiplying, and you end up with this:
n=6(3.5)
n=21
So your answer for this equation would be n= 6.