Answer:
x = - 4
Step-by-step explanation:
Given f(x) = - 6x + 4 and f(x) = 28, then equating
- 6x + 4 = 28 ( subtract 4 from both sides )
- 6x = 24 ( divide both sides by - 6 )
x = - 4
Answer:
3.92
To find the mean absolute deviation of the data, start by finding the mean of the data set.
Find the sum of the data values, and divide the sum by the number of data values.
Find the absolute value of the difference between each data value and the mean: |data value – mean|.
Find the sum of the absolute values of the differences.
Divide the sum of the absolute values of the differences by the number of data values.
Answer:
C. It is translated up 1 unit.
Step-by-step explanation:
Translations of a function f(x)
To translate a function f(x) a units to the right, we have f(x-a)
To translate a function f(x) a units to the left, we have f(x+a)
To translate a function f(x) a units up, we have f(x) + a
To translate a function f(x) a units down, we have f(x) - a
In this question:
g(x) = 5x + 1
f(x) = 5x
This means that the function g(x) is 1 added to the function f(x), that is, it is translated up 1 units, and the correct answer is given by option c.
B. 1/30
Explanation: First you find the probability of picking a yellow marble, 1/6. Then you multiply the probability of picking a blue marble, 1/5 since there are now only five marbles total. Then multiply those to see what the final probability is, 1/6*1/5=1/30.
The system of equations that represent the cost of x shirts, and y pairs of pants are 4x + 3y = 85.50 and 3x + 5y = 115.00. Option (a) is correct.
A system of equations or an equation system is a collection of simultaneous equations.
Given that Shopping at Saver Mart, Lisa buys her children four shirts and three pairs of pants for $85.50 and She returns the next day and buys three shirts and five pairs of pants for $115.00
Now we have to find the system of equation
Lisa buys her children four shirts and three pairs of pants for $85.50 is given by
4x + 3y = 85.50
She buys three shirts and five pairs of pants for $115.00 is given by
3x + 5y = 115.00
Therefore the system of equations that represent the cost of x shirts, and y pairs of pants are
4x + 3y = 85.50 and 3x + 5y = 115.00
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