I'm not sure what is being asked here, but a rate that describes how much smaller or larger the scale drawing is than the real object would be a ratio such as 1in:25ft
Answer: 1
Step-by-step explanation:
Bc 1 is match of P
You have f(x)=(<span>6x+9)/(x-5) and want to find the inverse function? Please note that the parentheses are obligatory here.
1. Replace "f(x)" with y: y = </span>(6x+9)/(x-5)
<span>
2. Interchange the variables x and y: x</span> = (6y+9)/(y-5)
3. Solve this result for y: x(y-5) = (6y+9), or xy-5x = 6y+9. Then:
xy-6y = 9 + 5x, or y(x-6) = 9+5x
9+5x
Then y = --------------
x-6
Here x may not = 6, because division by zero would occur otherwise.
The way you wrote it could have 2 meanings:
Sum of twice a and 4 could be:
2a+4 or 2(a+4) which will give different results.
In the first case:
2a+4
a= 4/2
a= 2
So the sum would be 2*2+4 = 4+4 = 8
In the second case:
2(a+4) = 2a + 2*4 = 2a + 8
a= 8/2
a=4
2(4+4) = 2*8 = 16
Answer:
40 mL of vinegar,
280 mL of dressing
Step-by-step explanation:
Let v = the milliliters ( mL ) of 100% vinegar,
Then it should be that 320 - v = mL of dressing.
v + .12( 320 - v ) = .23( 320 ) - So in this case the mL of vinegar is associated with the percent of vinegar composed. 100 percent is, in other words, 1, and is multiplied by " v " the mL of 100% vinegar. 1
v is also v, and so is written as such in our equation. 0.12 is the decimal form of the 12% vinegar, associated with the mL of dressing - as the italian dressing is composed of 12% vinegar. 23% is 0.23 in decimal form, multiplied by the mL of of vinegar in the mixture, 320 mL.
Let's solve for the mL of 100% vinegar, subtracting from 320 to receive the mL of dressing,
v + .12( 320 - v ) = .23( 320 ) - Distribute " .12 "
v + 38.4 - 0.12v = .23( 320 ) - Multiply " 0.32 " by " 320 "
v + 38.4 - 0.12v = 73.6 - Combine like terms and add / subtract
0.88v = 35.2 - Divide 0.88 on either side
v = 40 mL of vinegar,
320 - v = 320 - 40 = 280 mL of dressing