Answer: B. The product of P and S is always a rational number.
Step-by-step explanation: The product AND sum of two rational numbers will ALWAYS be rational.
Answer:
![Selling\ Price = 12b(1.55)](https://tex.z-dn.net/?f=Selling%5C%20Price%20%3D%2012b%281.55%29)
Step-by-step explanation:
Given
![Cost\ Price = \$12](https://tex.z-dn.net/?f=Cost%5C%20Price%20%3D%20%5C%2412)
![Selling\ Price = 55\%\ more](https://tex.z-dn.net/?f=Selling%5C%20Price%20%3D%2055%5C%25%5C%20more)
Required
Write an expression for the selling price for b birdbaths
This selling price for 1 birdbath is calculated as:
![Selling\ Price = Cost\ Price + 55\% * Cost\ Price](https://tex.z-dn.net/?f=Selling%5C%20Price%20%3D%20Cost%5C%20Price%20%2B%2055%5C%25%20%2A%20Cost%5C%20Price)
Substitute 12 for Cost Price
![Selling\ Price = 12 + 55\% * 12](https://tex.z-dn.net/?f=Selling%5C%20Price%20%3D%2012%20%2B%2055%5C%25%20%2A%2012)
Factorize:
![Selling\ Price = 12(1 + 55\%)](https://tex.z-dn.net/?f=Selling%5C%20Price%20%3D%2012%281%20%2B%2055%5C%25%29)
Express percentage as decimal
![Selling\ Price = 12(1 + 0.55)](https://tex.z-dn.net/?f=Selling%5C%20Price%20%3D%2012%281%20%2B%200.55%29)
![Selling\ Price = 12(1.55)](https://tex.z-dn.net/?f=Selling%5C%20Price%20%3D%2012%281.55%29)
For b birdbaths, the selling price is:
![Selling\ Price = 12(1.55) * b](https://tex.z-dn.net/?f=Selling%5C%20Price%20%3D%2012%281.55%29%20%2A%20b)
![Selling\ Price = 12b(1.55)](https://tex.z-dn.net/?f=Selling%5C%20Price%20%3D%2012b%281.55%29)
<em>The options are not clear; However </em>
<em> answers the question.</em>
Answer:
(a). Function 1
(b) Function 2
(c) Function 1,2 and 4
Step-by-step explanation:
Find the equation for all functions;
function 1: y= 2x+1
function 2: y= -2x+3
function 3: y= 5x-2
function 4: y= -4x-4
for answer of (a) y= mx+c
c is intercept. so function 1 has closest intercept to 0
for (b) the greatest y intercept is function 2
for(c) slope is m: we have function 1, 2 and 4
Let present age of women be x.
Then,Present age of her daughter be y.
According to the question,
<u>Two years ago,</u>
Woman age = x - 2
Her daughter age = y - 2
Woman was 7 times old as her daughter. [ Given ]
x - 2 = 7 ( y - 2 )
=> x - 2 = 7y - 14
=> x - 2 + 14 = 7y
=> x + 12 = 7y ....( i )
<u>A</u><u>f</u><u>t</u><u>e</u><u>r</u><u> </u><u>Three years </u>,
Woman age = x + 3
Her daughter age = y + 3
she would be 4 times old as the girl. [ Given ]
x + 3 = 4 ( y + 3 )
=> x + 3 = 4y + 12
=> x = 4y + 12 - 3
=> x = 4y + 9....( ii (
Now,
★ Putting the value of x = 4y + 9 from equation ( ii ) in equation ( i ),we get
x + 12 = 7y
=> 4y + 9 + 12 = 7y
=> 21 = 7y - 4y
=> 21 = 3y
=> 3y = 21
=> y = 21/3
=> y = 7
And,
x = 4y + 9
★ Putting the value of y in equation ( ii ), we get
x = 4 × 7 + 9
x = 28 + 9
x = 37
Hence, the present age of women is 37 years and her daughter age is 7.