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seraphim [82]
2 years ago
15

Dan earns $42.75 per month working as a tutor. He worked as a tutor for 4 months. He also earned $52.45 walking dogs in the neig

hborhood. He spent $18.50 of his total earning to buy a movie ticket and candy. Dan put 1 over 3 of the remaining money in his savings account.
Dan used the following steps to find the total money he put in his savings account:

Step 1: [($42.75 ⋅ 4) + $52.45 − $18.50] ⋅ 1 over 3

Step 2: [$171 + $52.45 − $18.50] ⋅ 1 over 3

Step 3: 241.95 ⋅ 1 over 3

Step 4: $80.65

In which step did Dan first make an error? Use words to explain how Dan can correct his error.
Mathematics
1 answer:
hjlf2 years ago
3 0

Answer:

step 3

Step-by-step explanation:

in step 3, he wrote that the sum of 171+ 52.45-18.50 was 241.95 when it is 199.95

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How would you describe the relationship between the real zeros and x-intercepts of the function y=log4(x-2)
notsponge [240]

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Then look at y = log to the base 4 of x.  The domain is (0, infinity).  The graph never touches the vertical axis, but is always to the right of it.  Again, a real zero occurs at x = 1, as log to the base 4 of 1 = 0 => (1, 0).

Finally, look at y=log to the base 4 of (x-2).  The graph is the same as that of y = log to the base 4 of x, EXCEPT that the whole graph is translated 2 units to the right.  Thus, the graph crosses the x-axis at (3, 0), which is also the x-intercept.

5 0
3 years ago
Read 2 more answers
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Fynjy0 [20]

Answer:

Slope = -3

y-intercept = (0,-4)

Equation: y = -3x-4

Step-by-step explanation:

We can take any two input-output pairs from the table to find the equation of given function.

Linear function is given by:

y =mx+b

Here m is the gradient of the functions which is defined as:

m = \frac{rise}{run} = \frac{y_2-y_1}{x_2-x_1}

The input-output pairs are:

(x1,y1) = (-1,-1)

(x2,y2) = (0,-4)

First of all,

m = \frac{-4-(-1)}{0-(-1)}\\= \frac{-4+1}{1} = -3

Putting the value of slope in the equation

y = -3x+b

Putting (-1,-1) in the equation

-1 = -3(-1)+b\\-1 = 3+b\\b = -1-3\\b = -4

The equation will be:

y = -3x-4

Hence,

Slope = -3

y-intercept = (0,-4)

Equation: y = -3x-4

7 0
3 years ago
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