Answer:
Table I fill-in: 1.404
Table II fill-in: 1.661 (instead of the 2 that's there)
Step-by-step explanation:
The functions shown in Table I and II are inverses of each other. This means that the x's for Table I are the y's in Table II. And the y's in Table I are the x's in Table II.
So look at Table II, there is a coordinate pair
(7, 1.404). Switch the x and y and you get (1.404,7) That's your answer to fill in on Table I.
Answer:
Step-by-step explanation:
√2x(7 + √2x)
7√2x + √2x ·√2x
7√2x + 2x
or
2x + 7√2x
A is the answer
<h3>What is 52,437 rounded to the nearest thousand?</h3>
Answer: 52,000
Step-by-step explanation:
We have to look at the number in the hundredth place and if it is less than five we round down, but if it is five or more, we round up.
In this case, since we have 52,437, the number of hundreds is 4, so we have to <u>round down</u>. 52,000.
<h3>
Solution (Line 2): <u>(Refer to graph 1)</u></h3>
<u>Note that:</u>
- Given points: (0, -2) and (1, -4)
- Slope formula: Rise/Run
- Point slope form formula: y - y₁ = m(x - x₁)
To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.
<u>Use the slope formula to find the slope.</u>
- Rise/Run = Slope
- => Rise = -2; Run = 1
- => Rise/Run = -2/1 = -2
<u>Use the point slope form formula.</u>
- y - y₁ = m(x - x₁) = Equation of line.
- => y - (-4) = -2(x - 1) = Equation of line.
- => y + 4 = -2x + 2
- => y = -2x + 2 - 4
- => y = -2x - 2
<h3>
Solution (Line 3): <u>(Refer to graph 2)</u></h3>
<u>Note that:</u>
- Given points: (0, -2) and (-4, 3)
- Slope formula: Rise/Run
- Point slope form formula: y - y₁ = m(x - x₁)
To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.
<u>Use the slope formula to find the slope.</u>
- Rise/Run = Slope
- => Rise = -5; Run = 4
- => Rise/Run = -5/4
<u>Use the point slope form formula.</u>
- y - y₁ = m(x - x₁) = Equation of line.
- => y - 3 = -5/4{x - (-4)} = Equation of line.
- => y - 3 = -5/4{x + 4}
- => y - 3 = -5x/4 - 5
- => y = -5x/4 - 2
<h3>
Solution (Line 4): <u>(Refer to graph 3)</u></h3>
<u>Note that:</u>
- Given points: (0, -2) and (-3, -5)
- Slope formula: Rise/Run
- Point slope form formula: y - y₁ = m(x - x₁)
To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.
<u>Use the slope formula to find the slope.</u>
- Rise/Run = Slope
- => Rise = 3; Run = 3
- => Rise/Run = 3/3 = 1
<u>Use the point slope form formula.</u>
- y - y₁ = m(x - x₁) = Equation of line.
- => y - (-5) = 1{x - (-3)} = Equation of line.
- => y - (-5) = 1{x + 3}
- => y + 5 = x + 3
- => y = x - 2
Hoped this helped!
Answer:
D
Step-by-step explanation:
It would be D because the formula to find slope is y divide by x. Graph D has a y of 2 and a x of 1 which you divide to get 2 which would be your answer