Hello from MrBillDoesMath!
Answer:
5 x^3 + 15 x^2 + 15 x + 5 , none of the provided choices
Discussion:
f(x) = 5 x^3
g(x) = x+ 1
=>
(f•g)(x) =
f(g(x)) =
f(x+1) =
5 * (x+1)^3 =
5 x^3 + 15 x^2 + 15 x + 5
which is none of the provided answers.
Thank you,
MrB
Answer:
Step-by-step explanation:
3⅛ inches × (50 miles)/(¼ inch) = 625 miles
Since y is less than x by 7 times

so in terms of x we write
x=7y
Answer:
The nth term of an AP will be 27 -7n.
Step-by-step explanation:
First five terms of the Arthemetic Sequence is given to us , which is 26 , 19 , 12 , 5
Hence here Common Difference can be found by subtracting two consecutive terms . Here which is 19 - 26 = (-7) .
Here first term is 26 .
And the nth term of an AP is given by ,
★ T_n = a + ( n - 1) d
<u>Subst</u><u>ituting</u><u> respective</u><u> values</u><u> </u><u>,</u>
⇒ T_n = a + ( n - 1 )d
⇒ T_n = 26 + (n - 1)(-7)
⇒ T_n = 26 -7n+1
⇒ T_n = 27 - 7n
<h3>
<u>Hence </u><u>the</u><u> </u><u>nth</u><u> </u><u>term</u><u> of</u><u> an</u><u> </u><u>AP</u><u> </u><u>can</u><u> </u><u>be</u><u> </u><u>found </u><u>using </u><u>T_</u><u>n</u><u> </u><u>=</u><u> </u><u>2</u><u>7</u><u> </u><u>-</u><u> </u><u>7</u><u>n</u><u>. </u></h3>
The correct answer is A) y - 4 = -2/5(x + 1)
We know this because of the basic form of point slope form, which is shown below.
y - y1 = m(x - x1)
In which the point (x1, y1) is on the graph and m is the slope. When counting the slope, we can see that it is -2/5 based on the fact that for every two spaces the graph travels down, it moves to the right five. This eliminates options C and D and gives us this form to work with.
y - y1 = -2/5(x - x1)
Now we have the point (-1, 4), so we can plug this in to match it with a formula.
y - 4 = -2/5(x - -1)
y - 4 = -2/5(x + 1)