The new graph would have a less steeper slope than the first graph because slopes with whole numbers have a steeper slope than slopes with fractions
hope this helps:)
Answer:
2
Step-by-step explanation:
4x = 32 - x2 would be much clearer if written as 4x = 32 - x^2. Please use
" ^ " to indicate exponentiation.
Rewrite 4x = 32 - x^2 in the standard form of a quadratic: x^2 + 4x - 32
Then the coefficients are a = 1, b = 4 and c = -32.
Find the discriminant. It is b^2-4ac.
Here, b^2-4ac = 4^2 - 4(1)(-32), or 16 + 128, or 144.
Because the discriminant is positive, we know immediately that this quadratic has two real, unequal roots.
So, the answer to this question is "the graph of 4x = 32 - x^2 cross the x-axis in two places."
Answer:
Step-by-step explanation:
Slope-intercept form of a <u>linear equation</u>:
where:
- m is the slope.
- b is the y-intercept (where the line crosses the y-axis).
<u>Slope formula</u>
<u>Equation 1</u>
<u />
Define two points on the line:
<u>Substitute</u> the defined points into the slope formula:
From inspection of the graph, the line crosses the y-axis at y = 1 and so the y-intercept is 1.
Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:
<u>Equation 2</u>
<u />
Define two points on the line:
<u>Substitute</u> the defined points into the slope formula:
From inspection of the graph, the line crosses the y-axis at y = -4 and so the y-intercept is -4.
Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:
<u>Conclusion</u>
Therefore, the system of linear equations shown by the graph is:
Learn more about systems of linear equations here:
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In order to have a linear equation, you have to write an equation like
The sequence has to start with 3, so we must choose , because this guarantees that when we have
Now, must be even. In fact, if is even, will always be even for every possible , and will be odd.
So, for example, you might choose
Which will produce the following sequence:
and so on
I believe the answer is 2 because 1/2 x 4 = 4/2 =2