4x + 3y = 54 (1)
3x + 9y = 108 (2)
Multiply (1) by (-3)
-12x - 9y = -162
3x + 9y = 108
---------------------add
-9x = -54
x = 6
plug x = 6 into (1) to find y
4(6) + 3y = 54
24 + 3y = 54
3y = 30
y = 10
Answer
(6 , 10)
Hope it helps.
Answer:
-7x³ - ⅑x - 1
Step-by-step explanation:
A polynomial written in standard form would be written in such a way that the term with the highest degree comes first, followed by the second highest and so on, then what comes last is the constant.
Given the polynomial -7x³ - 1 - ⅑x, -7x³ with the highest degree comes first, followed by -⅑x, and then the constant, -1, comes last.
Thus, we would have:
✅-7x³ - ⅑x - 1
Answer:
Step-by-step explanation:

means there exists an integer

such that

. We can divide both sides by

because

. This implies

for some integer, which is identically

.
Answer:
And if we solve for a we got
Step-by-step explanation:
Let X the random variable that represent the lenght time it takes to find a parking space at 9AM of a population, and for this case we know the distribution for X is given by:
Where
and
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
As we can see on the figure attached the z value that satisfy the condition with 0.7 of the area on the left and 0.3 of the area on the right it's z=0.524
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