Answer: 9 years
Step-by-step explanation:
Let the present age of Ashley be x.
Then the present age of Alfonso =x+8
Five years ago,
Ashley's age = x-5
Alfonso's age = x+8-5 = x+3
According to the question,
Hence, the present age of Ashley =9 years
Answer:
25
Step-by-step explanation:
We know that the standard error of the sampling distribution of sample means is
Standard error=standard deviation/√n
√n=standard deviation/Standard error
n=(standard deviation/Standard error)²
We are given that standard deviation=5 and standard error=1. So,
n=(5/1)²
n=5²
n=25.
Thus, the required sample size is 25.
Step-by-step explanation:
y - y1 = m (x - x1)
(y - y1)/m = x - x1
x - x1 = (y - y1)/m
x = (y - y1)/m + x1
therefore, answer is option C
Topic: Change of subject / coordinate geometry
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Given:
The total price of apples (y) at an orchard can be calculated with the equation
where, x is the number of pounds of apples picked.
To find:
The interpretation of slope for the given situation.
Solution:
The slope intercept form is
...(i)
where, m is slope and b is y-intercept.
We have,
...(ii)
On comparing (i) and (ii), we get
Slope = 1.25.
We know that, y is total price of x pounds of apples picked and slope is change in y with respect to x.
Therefore, the slope of the given equation is 1.25 and it means the price increased by 1.25 for each additional pounds of apples.
Answer:
2. 2x² + 7x - 13
Step-by-step explanation:
3[x² - 1] - [x² - 7x + 10]
3x² - 3 - x² + 7x - 10
2x² - 13 + 7x
The above answer is a bit written in reverse, which is the exact same result.
So, after performing the Distributive Property, from there, you can combine all like-terms, as done above.
** Now, just in case you are wondering why that -7 has been altered to its opposite, it is because although -7x does not have another like-term to pair up with, IT IS STILL HOOKED UP TO ANOTHER NEGATIVE, so that -7x is REALLY 7x.
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