Answer:
Option A.
Step-by-step explanation:
Note: The given function should be 
instead of 
.
Consider the given function is
We need to find the function which represents a reflection of f(x) across the x-axis.
If a function f(x) is reflected across the x-axis, then the new function is
Using this rule, we get
![[\because f(x)=\dfrac{2}{5}(10)^x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3D%5Cdfrac%7B2%7D%7B5%7D%2810%29%5Ex%5D)
Therefore, the correct option is A.
Answer:
The order is ;
0+ 1 + 2-3+ 4 -5+6-7+ 8 - 9
Step-by-step explanation:
Here, we want to write the numbers in that order, inserting a subtraction or addition sign between them.
These are;
0+ 1 + 2-3+ 4 -5+6-7+ 8 - 9
Answer:
£159
Step-by-step explanation:
Charles buys 30 packs of pens.
There are 15 pens in each pack.
Each pack costs £2.80.
Charles sells each pen for 90p but he only manages to sell 3/5 of the pens.
How much profit did he make?
Step 1
Charles buys 30 packs of pens.
There are 15 pens in each pack.
The total number of pens in the pack is
30 packs × 15 pens
= 450 pens
Each pack costs £2.80
Hence:
1 pack = £2.80
30 packs = x
Cross Multiply
x = 30 × £2.80
x = £84
Step 2
The total number of pens in the pack is
30 packs × 15 pens
= 450 pens
He only manages to sell 3/5 of the pens
The amount of pens Charlie sells =
3/5 × 450 pens
= 270 pens
Charles sells each pen for 90p
100p = £1
90p = x
Cross Multiply
100 × x = 90 × £1
x = 90/100
x = £0.9
The amount he sells each pen =
1 pen = £0.9
270 pens = x
Cross Multiply
x = 270 pens × £0.9
x = £243
Step 3
The profit that he made is calculated as:
£243 - £84
= £159
Area = 625 cm^2
Area = s^2
Diagonal = s*sqrt(2)
625 = s^2
s = sqrt(625)
s = 25 cm.
Diagonal = s*sqrt(2)
= 25sqrt(2)
=35.36 cm.
=35.4 cm.
The difference between the given values as a whole number is 27
<h3>Finding the difference between values</h3>
To find the difference between two numbers, subtract the number with the smallest value from the number with the largest value.
Given the following expression
44 - 17
This can also be expressed as
44 = 40 + 4
17 = 10 + 7
Substitute
44 - 17 = (40 + 4) - (10+ 7)
Expand
44 - 17 = 40 + 4 -10 - 7
44 - 17 = 40 - 10 + 4 - 7
44 - 17 = 30 - 3
44 - 17 = 27
Hence the difference between the given values as a whole number is 27
Learn more on difference here: brainly.com/question/17695139
#SPJ1
