Zeros of the given function f(x) = (x-1)(x-7) is (1, 0) and (7, 0).
Given function f(x) = (x - 1)(x - 7). Zeros of the function to be determined?
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
f(x) = (x - 1)(x - 7)
for finding zero we must equal the function to zero.
f(x) = 0
(x - 1)(x - 7) = 0
Here equal to zero implies one of the parenthesis must be zero,
x - 1 = 0 or x - 7 =
x = 1 or x = 7
It shows x must be 1 or 7 so the function gives zero, i.e. coordinates (1, 0) and (7, 0) are zeros of the function f(x) = (x - 1)(x - 7).
Thus, zeros of the given function f(x) = (x-1)(x-7) is (1, 0) and (7, 0).
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Answer:
(1,0) (7,0) so it’s 1 and 7
Step-by-step explanation:
You need to find the values of x that make the output equal to zero.
In a function like this, simple take the inverse of the number in each parentheses. For example if the number is -5, the zero is 5. And if it’s 5, the zero is -5.
This only works if the coefficient of x is 1.
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Answer:
the 2nd one
Step-by-step explanation:
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After the release of radioactive material into the atmosphere from a nuclear power plant in a country in 2000, the hay in that country was contaminated by a radioactive
isotope (half-life 7 days). If it is safe to feed the hay to cows when 14% of the radioactive isotope remains, how long did the farmers need to wait to use this hay?
The farmers needed to wait approximately days for it to be safe to feed the hay to the cows.
(Round to one decimal place as needed.)
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Answer:
19.9 days
Step-by-step explanation:
The amount remaining after d days is ...
a = (1/2)^(d/7)
We want to find d when a = 0.14
log(a) = (d/7)log(1/2)
d = 7·log(0.14)/log(1/2) ≈ 19.855 ≈ 19.9
The farmers need to wait about 19.9 days for it to be safe.
Question Continuation
if the measured weight of lead in the sample is
a.) 764.9g lead
b.)226.3g lead
c.) 53.5g lead
Answer:
a.
Relative Error = 0.065
b.
Relative Error = 0.221
c.
Relative Error = 0.935
Step-by-step explanation:
Given
Absolute Error = 0.5g
Relative error = absolute error/magnitude of measurement.
Relative error % = Relative error * 100
a.
Relative Error = 0.5/764.9 * 100
Relative Error = 50/764.9
Relative Error = 0.065
b.
Relative Error = 0.5/226.3 * 100
Relative Error = 50/226.3
Relative Error = 0.221
c.
Relative Error = 0.5/53.5 * 100
Relative Error = 50/53.5
Relative Error = 0.935
In Chemistry, the percent relative error is calculated by taking the absolute value of the error divided by the original measurement, and then multiplying by 100%. In this case, for a measured value of lead, the percent relative error would be (0.5 g / measured mass) * 100%.
The percent relative error in any measurement is calculated by taking the absolute value of the error divided by the measured value, all multiplied by 100% to get the result in percent forms. In this case, the absolute error is always 0.5 g (which means the values are consistently 0.5 g less than expected). The percent relative error would be calculated as follows:
Keep in mind, the relative error varies with each measured mass. Therefore, for each different measured mass of lead, you would substitute that value in place of M in the above formula to calculate the respective percent relative error.
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i. A U B
ii. A - B
Answer:
Hope it helped u
Step-by-step explanation:
2. 2 units down and 3 units up
3. 2 units right and 3 units up
4 2 units left and 3 units right
Answer:
i believe it is 4 but i'm not so sure
Step-by-step explanation:
:)
The graph of g(x)=(x-2)^2+3 compared to the graph of f(x)=x^2 is translated 2 units to the right and 3 units upwards.
To understand the transformation of graphs in mathematical terms, consider the initial function f(x) = x^2. The transition to the new function g(x)=(x-2)^2+3 is a result of a shift or translation of the graph. This transformation behaves as per the following rule: g(x) = f(x-h)+k where 'h' units is the horizontal displacement and 'k' units is the vertical displacement.
In the function g(x), x shifts two units to the right (as indicated by (x-2)) and three units upward (as indicated by +3).
So, the correct answer is 2 units right and 3 units up.
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