Factor each. Please help!
1 answer:
Answer:
1) The factors of are
Option C is correct.
3) The factors of are
Option B is correct.
Step-by-step explanation:
1) Factor :
For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.
The middle term : -3x
We can break them as (-2x)( -x)
Solving:
So, factors of are
Option C is correct.
3) Factor:
For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.
The middle term : 2x
We can break them as (4x)( -2x)
Solving
So, factors of are
Option B is correct.
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Answer:
Step-by-step explanation:
Given that the sitting back-to-knee length for a group of adults has a normal distribution with a mean of mu equals 22.1 in. and a standard deviation of sigma equals 1.2 in.
We have to find values of x such that
and
a=2.33 and b =-2.33 as z values
Let us convert to X values
i.e. values below 19.304 and above 25.496
Hence for x below 19.304 and above 25.496 are significantly low and high.
24.2 length is not significantly high.
Remark
The very first thing you should do with a question like this is get the graph. Then you will know what you are looking for. I have provided you with such a graph. Your table should center around -2 ≤ x ≤ -1
So let's set up a table and see what we get. Start with y = x + 5
x x + 5
-1 4
-1.25 3.75
-1.5 3.5
-1.75 3.25
-2 3
Do the same thing for - (3)^x + 4 See below to see how this is entered your calculator
x -(3)^x + 4
-1 3.66
-1.25 3.75
-1.5 3.8
-1.75 3.85
-2 3.89
Conclusion
When x = - 1.25 y = 3.75 for both graphs. <<<< Answer
Footnote
You may not be familiar with how to put this in your calculator. This is the way I would do it. I'm only doing it for y = -(3^x) + 4
Let x = - 1.25
3
^ Note your calculator might have x^y or y^x. You'll have 1 of the three.
1.25
+/-
=
X
1
+/-
= At this point you should have -0.25
+
4
=
That gives you 3.75
The very first thing you should do with a question like this is get the graph. Then you will know what you are looking for. I have provided you with such a graph. Your table should center around -2 ≤ x ≤ -1
So let's set up a table and see what we get. Start with y = x + 5
x x + 5
-1 4
-1.25 3.75
-1.5 3.5
-1.75 3.25
-2 3
Do the same thing for - (3)^x + 4 See below to see how this is entered your calculator
x -(3)^x + 4
-1 3.66
-1.25 3.75
-1.5 3.8
-1.75 3.85
-2 3.89
Conclusion
When x = - 1.25 y = 3.75 for both graphs. <<<< Answer
Footnote
You may not be familiar with how to put this in your calculator. This is the way I would do it. I'm only doing it for y = -(3^x) + 4
Let x = - 1.25
3
^ Note your calculator might have x^y or y^x. You'll have 1 of the three.
1.25
+/-
=
X
1
+/-
= At this point you should have -0.25
+
4
=
That gives you 3.75
Answer:
Draw a straight line that goes through the point (0,4) and (20,0)
Step-by-step explanation:
The y-intercept is equal to 4, since the function is already in y=mx+b form, where b is the y-intercept.
To find the x-intercept, we substitute 0 into y or in this case the f(x).
0 = -1/5 (x) + 4
1/5 x = 4
x = 20
The x-intercept is 20.
