Which ordered pairs lie on the graph of the exponential function f(x)=4(5)^2x
select each correct answer:
(-1,4/25)
(0,0)
(1,4)
(2,2500)
The ordered pairs [tex]\left(-1, \frac{4}{25}\right)[/tex] and [tex](2,2500)[/tex] lie on the graph of the exponential function.
The quickest approach consists in evaluating the function at each value of [tex]x[/tex] to determine if the resulting value of [tex]y[/tex] coincide with the value given in statement.
x = -1
[tex]f(-1) = 4\cdot 5^{2\cdot (-1)}[/tex]
[tex]f(-1) = \frac{4}{25}[/tex]
The resulting value coincides with the value given in statement.
x = 0
[tex]f(0) = 4\cdot 5^{2\cdot (0)}[/tex]
[tex]f(0) = 4[/tex]
The resulting value does not coincide with the value given in statement.
x = 1
[tex]f(1) = 4\cdot 5^{2\cdot (1)}[/tex]
[tex]f(1) = 100[/tex]
The resulting value does not coincide with the value given in statement.
x = 2
[tex]f(2) = 4\cdot 5^{2\cdot (2)}[/tex]
[tex]f(2) = 2500[/tex]
The resulting value coincides with the value given in statement.
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The ordered pairs (-1, 4/25) and (2, 2500) lie on the graph of the exponential function f(x) = 4 × (5)^(2x), while (0, 0) and (1, 4) do not.
To determine which ordered pairs lie on the graph of the exponential function f(x) = 4 × (5)^(2x), we can substitute the given x-values into the function and check if the resulting y-values match the given coordinates.
For the point (-1, 4/25):
f(-1) = 4 × (5)^(2(-1)) = 4 × 1/25 = 4/25
This matches the given coordinate, so (-1, 4/25) is on the graph.
For the point (0, 0):
f(0) = 4 × (5)^(2 × 0) = 4 × 1 = 4
This doesn't match the given coordinate, so (0, 0) is not on the graph.
For the point (1, 4):
f(1) = 4 × (5)^(2 × 1) = 4 × 25 = 100
This doesn't match the given coordinate, so (1, 4) is not on the graph.
For the point (2, 2500):
f(2) = 4 × (5)^(2 × 2) = 4 × 625 = 2500
This matches the given coordinate, so (2, 2500) is on the graph.
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The currency in Argentina is the Peso. The exchange rate is approximately $3 = 1 Peso. At this rate, how many Pesos would you get if you exchanged $121.10?
The Pesos you would get if you exchanged $121.10 using an exchange rate of $3 = 1 Peso, you can set up a proportion and solve for x.
Explanation:To calculate how many Pesos you would get if you exchanged $121.10 at an exchange rate of $3 = 1 Peso, you can set up a proportion:
$3 / 1 Peso = $121.10 / x Pesos
Cross multiply to solve for x:
$3 * x = $121.10 * 1
x = $363.30
Therefore, you would get 363.30 Pesos if you exchanged $121.10 at the given exchange rate.
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What is the least common denominator (LCD) for these fractions? 2/7 and 9/10
The required least common denominator for the fraction is 70.
Given that,
To determine the least common denominator for the fractions 2/7 and 9/10.
The least common denominator has defined the factor that is least common among the factors of the denominator is called the least common denominator.
The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.
Here,
For the fraction, 2 / 7 and 9 / 10
the denominators are 7 and 10
Now lowest common multiple of 7 and 10 is given as ,
7 * 10 = 70
Thus, the required least common denominator for the fraction is 70.
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I need to know all of these
factor out the coefficient of the variable 1/4 y + 3/8
Find the take-home percent of the gross pay: net pay $453.10, gross pay$734
50%
16%
162%
62%
Answer:
Option D. 62%
Step-by-step explanation:
Net pay = $453.10
Gross pay = $734.00
We have to find the take-home percent of the gross pay.
We will divide net pay by gross pay and multiply by 100.
Percent of the gross pay = [tex]\frac{453.10}{734}\times 100[/tex]
= 0.617302452 × 100
= 61.73 ≈ 62%
The take-home percent of the gross pay would be 62%.
Denny rode his bicycle miles in the morning. Then he rode miles in the afternoon. How far did he ride his bicycle altogether?
Polynomial Or Not a polynomial?
1) x4+3x3−5x2−7x+20
2) x3−2x2+x−12
3) x2+3x5−6x+12x3
4) x−3−x−2−6x−1+84x√3−x√−20
5) 4x√3−x√−20
6) 5x3−1x2+8x−40
Select "P" for Polynomial and Select "NP" for Not a Polynomial when answering
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Answer:
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Step-by-step explanation:
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hat is 965.38 rounded to the nearest tenth? A. 970 B. 965.4 C. 965.3 D. 965
What are the domain and range of the function?
X Y
-2 -8
-1 -1
0 0
1 1
2 8
3 27
Answers:
A.
Domain: {0, 1, 2, 3, 8, 27}; Range: {–8, –2, –1}
B.
Domain: {–2, –1, 0, 1, 2, 3}; Range: {–8, –1, 0, 1, 8, 27}
C.
Domain: {–2, –1, 0, 1, 8, 27}; Range: {–8, –1, 0, 1, 2, 3}
D.
Domain: {–8, –1, 0, 1, 8, 27}; Range: {–2, –1, 0, 1, 2, 3}
What is 5 units away from (-1, -2)
Answer:
Step-by-step explanation:
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(x + 1)^2 + (y + 2)^2= 25
The above is an equation that represents a circle.
Three points are marked below 2 of which are easily seen to be 5 units away from the center (-1,-2)
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the line parallel to 3x + y = 8 that passes through (0, -4)
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Answer:
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Step-by-step explanation:
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