Answer:
-4
Step-by-step explanation:
The slope of a function f(x) passing through two points of coordinates 
and 
is given by
Therefore, in order to find the slope of the function h(x) of this problem, we have to find the coordinates of 2 points.
We know that h(x) has an x-intercept of 2: the x-intercept is the point where the function crosses the x-axis, so the coordinates of this point are
Because at x = 2, the value of y is zero.
We also know that h(x) has an y-intercept of 8: the y-intercept is the point where the function crosses the y-axis, so the coordinates of this point are
Because at x = 0, the value of y is 8.
Therefore, we can now use these 2 points to calculate the slope of the function:
Answer:
- 20 -5k = 4
- the LCM of the denominators is 10
Step-by-step explanation:
I find it convenient to do the problem in the reverse order: find the LCM, then distribute. That way, I'm not distributing a fraction.
The LCM of 2 and 5 is their product: 2·5 = 10. Multiplying the equation by 10 gives ...
5(4 -k) = 4
Now, distributing, we get ...
20 -5k = 4
Answer:
g(x) = log( x + 1 ) + 4
Step-by-step explanation:
f(x) is the parent equation so to get g(x) we shifted f(x) four units up and one unit to the left.
Step-by-step explanation:
4: To <em>evaluate </em>an algebraic equation, replace each variable with the given number, and carry out the computation.
-This is basically explained the steps of evaluating an equation. You are receiving a number for x, so you then simplify and find if ?=? is true.-
6. 8+r
<em>8 more than a number.</em>
<em>A number increased by 8.</em>
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24. 8-y
<em>(Just the opposite.)</em>
<em>A number less than 8.</em>
<em>8 decreased by a number.</em>
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<em>34. (I don't see the problem for this one.)</em>
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<em>Hope I helped!</em>
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