Answer:
n = - 19
Step-by-step explanation:
8n - 9n - 2 = 17 , that is
- n - 2 = 17 ( add 2 to both sides )
- n = 19 ( multiply both sides by - 1 )
n = - 19
Answer:
Mr. devito needs to buy 40 packs
Step-by-step explanation:
Given:
Total number of fourth grade students = 118
The number of pencils in one pack = 6
The number pencil each student gets =2
To find:
The number of packs of pencils that is to be bought = ?
Solution:
To give all the 118 fourth grade students each 2 pencils , the total number of pencils needed will be
= > 
=> 236 Pencils
We know that a pack contains 6 pencils, so the number of pack that has to be bought , in order to have 236 pencils will be
=> 
On substituting the values
=> 
=> 39.33
=> 40
We'll use the exponent rule that a^(b+c) = a^b*a^c
to break up 17^16 into 17^(14+2) = 17^14*17^2
That allows us to factor like so
17^16+17^14
17^14*17^2+17^14*1
17^14(17^2 + 1)
Computing 17^14 is a lot more difficult compared to computing 17^2 + 1, assuming you only could use paper and pencil.
Note that 17^2 = 17*17 = 289, so 17^2 + 1 = 289+1 = 290
Because 290 ends in a 0, this means that 5 is a factor
290 = 5*58
This makes 5 to be a factor of the original expression.
----------------
So overall,
17^16+17^14 = 17^14(17^2 + 1) = 17^14*290 = 17^14*5*58 = 5*17^14*58
The stuff "17^14*58" doesn't matter. All we care about is that factor of 5.
Since 5 is a factor, this means that 17^16+17^14 is a multiple of 5, or 17^16+17^14 is divisible by 5.
Phrased another way, 17^16+17^14 all divided over 5 leads to some integer. In this case, the integer would be the result of 17^14*58.
First convert them to vertex form
first one is y = 2(x + 0.75)^2 - 6.125
2nd is y = -2(x - 0.75)^2 - 3.875
the -2 will cause a reflection of the first equation in the x axis . then a translation down of 6.125 + 3.875 = 10 units , followed by
a translation of -0.75-0.75 = -1.5 units to the right = 1.5
Si es 150 es precio sin IVA, tu precio con IVA sería de 181.5. La cantidad del IVA sería de 31.5
