Answer:
x=-2/5
Step-by-step explanation:
4(-3x-1)=13x+6 ~ Distribute the 4 into the parenthesis
-12x-4 = 13x+6 ~ add 12x to both sides
-4= 25x + 6 ~ subtract 6 from both sides
-10 =25x ~ divide by 25
-10/25 = x ~ simplify the fraction by dividing the num. and den by 5
-2/5 =x
Answer:
Step-by-step explanation:
1) we have to solve the associated equation
-16x^2 + 24x + 16 = 0
-2x^2 + 3x + 2 = 0
2x^2 -3x -2 = 0
Δ = 9 + 16 = 25
x1 = (3 + 5)/4= 2
x2 = (3 - 5)/4 =-1/2
the x intercepts are -1/2 and 2
2) a maximum because the parabola opens downwards (the first term is negative)
V(x) = -b/2a = -24/-32 = 3/4
V(y) = -16(9/16) + 24(3/4) + 16 = -9+18 + 16 = 25
V(3/4,25)
3) for draw a parabola is are necessary the coordinates of the vertex and of two points: one that lies to left of the vertex, and one that lies on the right to the vertex.
So we already have the necessary informations to draw it.
Answer:
<em>628 </em>
Step-by-step explanation:
Since the formula to find the volume of a cylinder is
h, we just need to fill things in.
Since the radius is 5 and the height is 8 and we know that pi=3.14, our new equation is:
3.14*5^2*8.
5*5=25. Now we simplify.
3.14 * 25 * 8
78.5 * 8
<em>628 </em>
Hope this helps!! <3 :)
Answer:
We see that the p value is lower than the significance level given of 0.01 so then we can conclude that the true mean for the nicotine content is significantly higher than 40 mg
Step-by-step explanation:
Information provided
represent the average nicotine content
represent the sample standard deviation
sample size
represent the value to check
represent the significance level for the hypothesis test.
t would represent the statistic
represent the p value for the test
System of hypothesis
We want to verify if the nicotine content of the cigarettes exceeds 40 mg , the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic for this case would be:
(1)
And replcing we got:
The degrees of freedom are:
The p value would be:
We see that the p value is lower than the significance level given of 0.01 so then we can conclude that the true mean for the nicotine content is significantly higher than 40 mg
Answer:
3x+12 is the sum
9x-2 is differences
Step-by-step explanation: Combine like terms