The slope of a line through points
and
is :
or
,
it is the same thing, BUT it it always y's over x's and always in the same order of 1 and 2:
don't write:
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The slope of the line through the points <span>(-23, -17) and (-13, -7) is :
</span>
<span>
Answer: 1</span>
9514 1404 393
Answer:
maximum difference is 38 at x = -3
Step-by-step explanation:
This is nicely solved by a graphing calculator, which can plot the difference between the functions. The attached shows the maximum difference on the given interval is 38 at x = -3.
__
Ordinarily, the distance between curves is measured vertically. Here that means you're interested in finding the stationary points of the difference between the functions, along with that difference at the ends of the interval. The maximum difference magnitude is what you're interested in.
h(x) = g(x) -f(x) = (2x³ +5x² -15x) -(x³ +3x² -2) = x³ +2x² -15x +2
Then the derivative is ...
h'(x) = 3x² +4x -15 = (x +3)(3x -5)
This has zeros (stationary points) at x = -3 and x = 5/3. The values of h(x) of concern are those at x=-5, -3, 5/3, 3. These are shown in the attached table.
The maximum difference between f(x) and g(x) is 38 at x = -3.
Answer:
a+305/36
Step-by-step explanation:
Convert
3
1
4
3
1
4
to an improper fraction.
a
+
13
4
+
5
2
9
a
+
13
4
+
5
2
9
Convert
5
2
9
5
2
9
to an improper fraction.
a
+
13
4
+
47
9
a
+
13
4
+
47
9
To write
13
4
13
4
as a fraction with a common denominator, multiply by
9
9
9
9
.
a
+
13
4
⋅
9
9
+
47
9
a
+
13
4
⋅
9
9
+
47
9
To write
47
9
47
9
as a fraction with a common denominator, multiply by
4
4
4
4
.
a
+
13
4
⋅
9
9
+
47
9
⋅
4
4
a
+
13
4
⋅
9
9
+
47
9
⋅
4
4
Write each expression with a common denominator of
36
36
, by multiplying each by an appropriate factor of
1
1
.
a
+
13
⋅
9
36
+
47
⋅
4
36
a
+
13
⋅
9
36
+
47
⋅
4
36
Combine the numerators over the common denominator.
a
+
13
⋅
9
+
47
⋅
4
36
a
+
13
⋅
9
+
47
⋅
4
36
Simplify the numerator.
a
+
305
36
a
+
305
36
I won’t give a actual answer to the equation, because I want you and anyone else to learn it. but I do want to help!
the sum is the answer to a addition problem. that means you should choose anything that falls under that.
The term is anything that is being separated by + or - so for this, choose anything like that.
The product is the final answer to a multiplication problem.
Factor- any number leading up to a answer in a problem. Example: 3 times 4 is 12. The 3 and the 4 are the factors.
Quotient- the final answer to a division problem.
Coefficient- the number separated from the rest of the problem or the number at the beginning of the problem that stands alone. Because this one is a bit harder to explain, I’ll go ahead and tell you it is 4.
Variable- the unknown number such as y or x.
I hope this helps, and good luck!! :)
Answer:
y=35x−9
Step-by-step explanation:
Step 1: Add -12x to both sides.
12x−20y+−12x=180+−12x
−20y=−12x+180
Step 2: Divide both sides by -20.
−20y−20=−12x+180−20
y=35x−9
