Answer:
<u>x = -7.5 - 1.5(n−1) </u>
Step-by-step explanation:
the explicit formula for the arithmetic sequence has the form
x = a + d(n−1)
a is the first term and d is the common difference
The given arithmetic sequence is
-7.5,-9,-10.5,-12
The first term is -7.5
d = common difference = -9 - (-7.5) = -1.5
∴ x = -7.5 - 1.5(n−1)
I've seen this question on Brainly before, and I always shake my head.
Please think about this for a few seconds. Maybe even make some
scribbles on a piece of paper.
-- A triangle has 3 sides and 3 angles.
-- A square, rectangle, rhombus or parallelogram has 4 sides and 4 angles.
-- Draw anything with 5 sides. It doesn't have to be pretty, and they don't
all have to be the same length or anything special. Just draw any shape
with 5 sides. Count the angles, and you'll find that there are five of them.
By now you should be starting to get the creepy hunch that maybe a
polygon always has the SAME number of sides and angles. I hope so.
That's the correct creepy hunch.
You can get all kinds of hunches, and even work most of them out,
just by using your thinker for a while.
<span>1. the sum of 12 and the quotient of 9 and a number
The responder's answer is not given but it can be 12 + (9 / n)
2. </span>the difference of 12 and the product of 9 and a number
The responder's answer would be <span>c. 12 – 9y
3</span>. the difference of 12 and the quotient of 9 and a number
The responder's answer would be <span>b. 12 – (9 ÷ y)
</span>
<span>4. 12 more than quotient of a 9 and number
</span>
The responder's answer would be<span> a. 12 + (9 ÷ y)</span>
5x = 2x + 9, where 5x > 0 and 2x + 9 > 0 ;
Then, 3x = 9 ;
Then, x = 3 ;
Verify : 5 × 3 = 2 × 3 + 9 ;correct !
5 × 3 > 0 ; correct !
2 × 3 + 9 > 0; correct !
Answer:
9x+3.45
Step-by-step explanation:
Let's simplify step-by-step.
6x+3(x+1.15)
Distribute:
=6x+(3)(x)+(3)(1.15)
=6x+3x+3.45
Combine Like Terms:
=6x+3x+3.45
=(6x+3x)+(3.45)
=9x+3.45