Answer:
The equation of line is given as 
Step-by-step explanation:
Point on the line given :
We can find the slope of the line first from the given points.
Slope
= Undefined.
The slope of the line is undefined which means that the line is parallel to y-axis.
From the points known to us we can tell that the line passes through
∴ The equation of line is given as
Answer:
Step-by-step explanation:
We observe that the difference of terms is 4, 7 and 15 and next level difference is 4. It means the sequence is quadratic.
<u>We can compare this with simple quadratic sequence </u>
<u>and find out that doubling each term gives us </u>
This is close to our sequence, write the terms as follows to find exact rule
<u>The first term: </u>
- a₁ = 4 = 2*1² + 2 = 2*1² + 1 + 1
<u>The second term</u>
- a₂ = 11 = 2*2² + 3 = 2*2² + 2 + 1
<u>The third term:</u>
- a₃ = 22 = 2*3² + 4 = 2*3² + 3 + 1
<u>The fourth term:</u>
- a₄ = 37 = 2*4² + 5 = 2*4² + 4 + 1
<u>The nth term as per observation above is:</u>
Answer:
Use pemdas
Step-by-step explanation:
Paranthese, e, multiplacation, division, addition, subtraction
Answer: the original price of the shorts was $25
Step-by-step explanation:
Let x represent the original price of the shorts.
The store is having a sale in which all items are reduced by 20%. This means that the amount of discount on the shorts is
20/100 × x = 0.2x
The price of the shorts would be
x - 0.2x = 0.8x
If the sales tax is 5%, then the amount of sales tax charged is
5/100 × 0.8x = 0.04x
The final cost of the shorts would be
0.8x + 0.04x = 0.84x
Including tax, Jennifer paid $21 for a pair of shorts. This means that
0.84x = 21
x = 21/0.84
x = 25
