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Len [333]
2 years ago
5

Click “show your work” and graph the absolute value function shown below. f(x) =|x – 4| + 1

Mathematics
1 answer:
AVprozaik [17]2 years ago
4 0

Answer: here u go

Step-by-step explanation:

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The bottom of Ignacio's desktop is 74.5\,\text{cm}74.5cm74, point, 5, start text, c, m, end text from the floor. Ignacio sits in
sasho [114]

Answer:

r

Step-by-step explanation:

<u>Function Modeling</u>

The problem gives us the following conditions: The bottom of Ignacio's desktop is 74.5 cm from the floor, and the top of his legs is 49.3 cm from the floor. We know the chair where he's sitting at has a knob that raises the legs 4.8 cm per clockwise rotation r. This means that the total distance the legs are raised for r rotations is 4.8r. The total distance of his legs from the floor is then:

49.3+4.8r

This distance cannot reach or exceed 74.5 cm, thus

49.3+4.8r

Solving for r

\displaystyle r

Or, equivalently

\boxed{r

8 0
2 years ago
What is the final amount if 1235 is increased by 4% followed by a 4% decrease?
madam [21]

Answer:

1233.02 to 2 D.P.

Step-by-step explanation:

4 % = 0.04

So to obtain the amount after increase by 4% we multiply by 1.04:

1235 * 1.04 = 1284.4

Decreasing by 4%:  we mutriply by 1 - 0.04 = 0.96:

1284.4 * 0.96

= 1233.024.

4 0
3 years ago
Read 2 more answers
I please need help with this question. Thank you
Diano4ka-milaya [45]

Part (A)

The input variable is the shoe size because it is along the horizontal axis, or x axis. It's not clear what the units for the shoe size are, but it's possible the units are in inches.

The output variable is the y value, which in this case is the height. The units for the height is in inches.

====================================================

Part (B)

We have a positive trend. We determine this visually by noting the regression line, or trend line, is going upward as we move from left to right.

Algebraically, the equation for the trend line has a positive slope, which leads to a positive trend.

A positive trend is where x and y increase together. As shoe size goes up, height goes up as well.

While not all the points are on the line, there is a tendency for the points to go uphill as we move from left to right.

As for the strength of the correlation, that part is subjective. If we knew the correlation coefficient r, then we could be more certain; however, we don't know this value. So instead we have to eyeball the given graph and give an estimate. Based on the graph, I'd say there's a moderate positive correlation going on. It's somewhere in the middle of weak and strong positive correlation because the data points are somewhat scattered randomly, but they trend upward nonetheless.

====================================================

Part (C)

The rate of change is the slope. The slope is the coefficient of the independent variable x. In this problem, the slope is 1.728

So the rate of change is 1.728 inches per shoe size.

In other words, as the shoe size increases by 1 unit (1 inch perhaps?), the height will increase by roughly 1.728 inches.

---------------------------------------------------------

Extra info:

The equation

Height = 51.46 + 1.728(Shoe Size)

is the same as

y = 51.46 + 1.728x

where x is the shoe size and y is the height

We can rearrange that into

y = 1.728x + 51.46

So that it matches with the familiar y = mx+b slope intercept form. This is optional.

3 0
3 years ago
24 21 is 60% of what number?
vitfil [10]

Answer:

could u explain it better

4 0
3 years ago
Read 2 more answers
If pamela has 20 of string does she have enough to make bracelets for 4 of her friends?
JulijaS [17]

How much string is needed to make one bracelet?

From the information given, she should have enough to make 4 bracelets for each of her friends if she uses 5 strings per bracelet.

5 0
3 years ago
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