Answer:
= 2x^4 + 6x^3 - 8x^2 + 24x
= 2x ( 2x^3 + 3x^2 - 4x + 12)
Step-by-step explanation:
(X^2 + x - 6) (2x^2 + 4x) =
Let's open the brackets carefully
x^2 * 2x^2 + x^2*4x + x*2x^2 + x*4x - 6*2x^2 - 24x
= 2x^4 + 4x^3 + 2x^3 + 4x^2 - 12x + 24x
= 2x^4 + 6x^3 - 8x^2 + 24x
= 2x ( 2x^3 + 3x^2 - 4x + 12)
Answer:
Assuming your equations are:
x-3y=3
4x+3y=-3
The answers are x = 0 and y = -1.
See the image for the graph.
If this solution helped you, consider upvoting it and giving a brainliest!
Step-by-step explanation:
See the image for the graph.
Answer:
A's
Step-by-step explanation:
Mode is defined as the number, or in this case grade, that appears most often in a set of numbers. Seeing as 10 is the most number of a certain grade recieved, the corresponding grade A is the mode.
Answer:
She sneezed for 138.286 weeks in a row. You need days of week to create a proper conversion.
Step-by-step explanation:
There are 7 days in a week. There are 978 days shown.
You can depict it as this:
978 = 7x; x is the amount of weeks.
Divide both sides by 7
138.285714 = x
Round to three decimals
x = 138.286
Answer:
And if we solve for a we got
And for this case the answer would be 35185 the lowest 1% for the salary
Step-by-step explanation:
Let X the random variable that represent the salary, and for this case we can assume that the distribution for X is given by:
Where
and
And we want to find a value a, such that we satisfy this condition:
(a)
(b)
We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.01 of the area on the left and 0.99 of the area on the right it's z=-2.33. On this case P(Z<-2.33)=0.01 and P(z>-2.33)=0.99
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
And for this case the answer would be 35185 the lowest 1% for the salary