The <u><em>correct answer</em></u> is:
0.6 + 0.02 + 0.004
Explanation:
To write a number in expanded form, we use place value. In this number, 6 is in the tenths place; that makes its value 6(0.1) = 0.6.
2 is in the hundredths place; that makes its value 2(0.01) = 0.02.
4 is in the thousandths place; that makes its value 4(0.001) = 0.004.
Together, we get a sum of 0.6+0.02+0.004.
Answer:
1. We can see that salesperson's weekly income is the sum of her constant weekly salary ($760) and a commission which is variable and depends on her weekly sales.
So, if we say that y is her weekly income and x is her weekly sales, we can write this as:
y = 760 + 0.075x
Note that we had to change percentage to decimal number dividing it by 100.
2 Since for each value of x there is only one corresponding value of y, we can say that this is a function. For any value of x we input there is only one solution we get - that is the main feature of function and a way to tell if something is really a function.
Since this is a function, it can also be written as:
f(x) = 760 + 0.075x
3. Domain of a function is, basically, set of all values of x for which the function can work. That practically means that, since x is weekly sale, it can not be negative (one cannot make -$500 sale, for example). However, it is possible that she doesn't make a sale one week, making it possible for x to be 0. Also, the value of her sales doesn't have to be integer (it is quite possible that she makes $673.50 sale).
All this means that appropriate domain for this function are positive real numbers including 0.
Answer:
Jake's error in step 3
Step-by-step explanation:
we have

Complete the square
step 1
Group terms that contain the same variable, and move the constant to the opposite side of the equation

step 2
Complete the square. Remember to balance the equation by adding the same constants to each side


step 3
Rewrite as perfect squares

Jake's error in step 3
He placed 6 instead of 3 in the left side
step 4
take square root both sides

step 5

step 6

step 7
x=5 and x=1
Answer:
x > 9
Step-by-step explanation:
2x - 7 > 11
2x > 18
x > 9
Answer:
1
Step-by-step explanation:
i= -1