Which facts are true for the graph of the function below check all that apply F(x)=log6x
1 answer:
Based on the graph of the function (F(x) = log6x), the following facts are true:
- It is increasing.
- The x-intercept is (1, 0).
A graph is a type of chart that is used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate i.e x-axis and y-axis.
By critically observing the graph of the function (F(x) = log6x) attached in the image below, we can infer and logically deduce that its domain and range include all real numbers that are greater than 0 (x > 0).
This ultimately implies that, the following facts are true:
- It is increasing.
- The x-intercept is (1, 0).
Read more on graphs here: brainly.com/question/25875680
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Complete Question:
Which facts are true for the graph of the function below? Check all that apply. F(x) = log6 x
A. It is increasing.
B. The range is y > 0.
C. The x-intercept is (1, 0).
D. It is decreasing.
E. The y-intercept is (0, 6).
F. The domain is x > 6.
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Answer:
$9000 at 4$
and
$10000 at 8%
Step-by-step explanation:
Let's assume that "x" is the amount deposited in the 4% account and "y" is the amount deposited in the 8% account.
Recall the formula for interest as :
where I is the interest, R is the annual rate of interest and t is the number of years.
Since there are two investments, we need to add both interests at the end of the one year: I1 = x (0.04) (1) = 0.04 x and I2 = y (0.08) (1) = 0.08 y
Total Interest = Interest (from the 4% account) + Interest (from the 8% account)
Total Interest = $1160 = 0.04 x + 0.08 y
we also know that the total invested (x + y) adds to $19,000, that is:
$19,000 = x + y
Then we can solve these system of two equations by substitution, for example solving for y in the second equation and using the y substitution in the first equation;
y = 19000 - x
1160 = 0.04 x + 0.08 (19000 - x)
1160 = 0.04 x + 1520 - 0.08 x
0.08 x - 0.04 x = 1520 - 1160
0.04 x = 360
x = 360/0.04 = $9000
Then the other investment was : y = $19000 - $9000 = $10000