Answer:
If b is 3, x=-1
Step-by-step explanation:
-2(3x-5)=16
use distributive property
-6x+10=16
take 10 away from both sides
-6x=6
divide both sides by -6
x=-1
Answer:
Use quadratic formula
Step-by-step explanation:
(x - 17) (7x + 5)
7x^2 + 5x - 119x - 85
7x^2 - 114x - 85 = 0
The value of x can then be worked out using the quadratic formula where you substitute all the numbers in your calculator.
The answer would be 20. PEMDAS would have you do multiplication first which makes you do 3 times 7. 3 times 7 would give you 21 and then you minus 1 which gives you 20
Answer:
D. It has a constant slope.
Step-by-step explanation:
We have to find the characteristic which states that the graph of a function must be linear.
The four characteristics given in the question are;
A. It passes through the origin
B. It crosses the x-axis more than once.
C. It crosses the y-axis exactly once
D. It has a constant slope.
If we consider the first characteristic that it passes through the origin
, then the graph of a function will not be linear because it will contain two variables.
If we consider the second characteristic that it crosses the x-axis more than once
, then the graph of a function will not be linear because it will then be a parabola or a curve function and will not have a linear function.
If we consider the third characteristic that it crosses the y-axis exactly once
, then the graph of a function will not be linear because it may cross the x-axis twice.
If we consider the fourth characteristic that it has a constant slope
, then the graph of a function will be linear because it will not change it's form and will have a constant slope linear function.
Answer:
The 80% confidence interval would be given by (0.339;0.401)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
For this case the estimated proportion of interest would be
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by and . And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 80% confidence interval would be given by (0.339;0.401)