Answer:
Brainly.in
Question
When <u>6</u><u> </u><u>times</u><u> </u><u>a</u><u> </u><u>number</u><u> </u> is increased by 11 the result is 16 less than 9 times the number. Find the number.
Answer · 7 votes
Answer:6x+11=9x-163x=27X=9 Please mark it brainliest
Step-by-step explanation:
Please mark it brainliest
Answer:
I am 99.99% sure it is the first one
<h3>
Answer: -10 and -40</h3>
===============================================================
Explanation:
a = 200 = first term
d = -30 = common difference
Tn = nth term
Tn = a + d(n-1)
Tn = 200 + (-30)(n-1)
Tn = 200 - 30n + 30
Tn = -30n + 230
Set Tn less than 0 and isolate n
Tn < 0
-30n + 230 < 0
230 < 30n
30n > 230
n > 230/30
n > 7.667 approximately
Rounding up to the nearest whole number gets us 
So Tn starts to turn negative when n = 8
We can see that,
Tn = -30n + 230
T7 = -30*7 + 230
T7 = 20
and
Tn = -30n + 230
T8 = -30*8 + 230
T8 = -10 is the 8th term
and lastly
Tn = -30n + 230
T9 = -30*9 + 230
T9 = -40 is the ninth term
Or once you determine that T7 = 20, you subtract 30 from it to get 20-30 = -10 which is the value of T8. Then T9 = -40 because -10-30 = -40.
The conclusion of the remainder theorem about a situation where a function; f(x) is divided by (x+3) and has a remainder of 11 is that; f(-3) = 11.
<h3>What does the remainder theorem conclude given that f(x)/x+3 has a remainder of 11?</h3>
It follows from the task content that f(x)/x+3 has a remainder of 11.
On this note, it follows from the remainder theorem regarding the division of polynomials that; when; x + 3= 0; x = -3 and hence;
f(-3) = 11.
Ultimately, the inference that can be drawn from the remainder theorem statement as in the task content is; f(-3) = 11.
Read more on remainder theorem;
brainly.com/question/13328536
#SPJ1
Answer:

Step-by-step explanation:
Use the Pythagorean theorem:

a and b are the legs and c is the hypotenuse. Insert the values:

Simplify exponents using the rule
:

Simplify addition:

Find the square root:

Simplify in radical form: Find a common factor of 24 that is a perfect square:

Separate:

Simplify:

Finito.