Given:
For a function f,
.
To find:
The coordinates of a point on the graph of f.
Solution:
We have,

It means the value of function f is 10 at -4.
On a coordinate plane x-axis represents the input values and y-axis represents the output values of a function. So,
x-coordinate = input value = -4
y-coordinate = output value = 10
Therefore, the required coordinates of a point on the graph of f are (-4,10).
Answer:
y = -1/4x - 1.
Step-by-step explanation:
y = 4x + 5
The slope of this is 4 so the slope of line perpendicular to this line = -1/4.
Using the formula y - y1 = m(x - x1):
y - (-1) = -1/4(x - 0)
y + 1 = -1/4x
y = -1/4x - 1.
Answer:
Step-by-step explanation:
The number of defective laptops = 6/145 * 100 as a percent.
The number of defective laptops = 4.13% in a sample of 145
A: False. The percentage should be the same for 290 laptops. The % does not change. The number of defective laptops will change (12)
B: True. It is a reason assertion that about 4% of all laptops will be defective.
C: True. It is not reasonable to assume that only 0.5 laptops will be defective. .5% is too small.
D: True. 10% is too high.
E: False. The variation should not be much.
Answer:
K+T=20
$9K + $6T = $168
K is the Kentucky blue grass in pounds
T is the Tall fescue in pounds
Step-by-step explanation:
You can start with the first equation. We don't know the exact amounts of each but we know that there was a total of 20 pounds, and there were 2 types of grass seeds, so we can get that the amount of pounds of Kentucky blue grass(K) and the pounds of Tal Fescue(T) has a sum of 20.
K + T = 20
For the second equation we know that there is a sum of $168 so we'll start with that. Then, we know he paid $9 per pound of K so $9* the value of K is the amount paid for Kentucky blue grass total. This can be represented as 9K. We do the same for T, 6T. Since the sum of the cost of $9T and $6K must be $168 we can write this as:
$9K + $6T = $168
Answer:
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Step-by-step explanation:
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