Answer:
b=19
Step-by-step explanation:
2x(3x+5)+3(3x+5)= (3x+5)(2x+3)= 6x²+ 9x+10x+15=6x²+19x +15
6x² + 19x +15 = ax²+bx+c
a=6, b=19, c=15
This question is incomplete
Complete Question
Mr Sampson fills the family pool with water for the summer.After two hours,the water has reached a depth of 2.5 feet. After three hours,the water level has risen to 3 3/4 feet.If the relationship between time and water depth is proportional,what is the constant of proportionality?
Answer:
1.33
Step-by-step explanation:
Time is proportional to Depth
Hence:
T ∝ D
T = kD
Where k is the constant of proportionality
After two hours,the water has reached a depth of 2.5 feet. After three hours,the water level has risen to 3 3/4 feet.
Total number of hours now is 3 + 2 = 5 hours
5 = k × 3 3/4
5 = k × 3.75
k = 5/3.75
k = 1.33
S= 15
3s=45
3s/3=45/3
S=15
You have to divide both sides
<span>2(a+b)=c
2a + 2b = c
2b = c - 2a
b = (c - 2a)/a
answer
</span><span>D. b = (c−2a)/2 ; distribute 2 to get 2a+2b, subtract 2a, then divide by 2.</span>
Answer:
converts Celsius to Fahrenheit.
converts Fahrenheit to Celsius.
Step-by-step explanation:
Write given data in the table
![\begin{array}{cc}x&f(x)\\^{\circ}\text{C}&^{\circ}\text{F}\\20&68\\30&86\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcc%7Dx%26f%28x%29%5C%5C%5E%7B%5Ccirc%7D%5Ctext%7BC%7D%26%5E%7B%5Ccirc%7D%5Ctext%7BF%7D%5C%5C20%2668%5C%5C30%2686%5Cend%7Barray%7D)
Let the expression for the function be
![f(x)=ax+b](https://tex.z-dn.net/?f=f%28x%29%3Dax%2Bb)
Note, that this equation is linear equation and it is well-known fact that the Celsius to Fahrenheit dependence is linear.
Substitute corresponding values into this expression:
![68=20a+b\\ \\86=30a+b](https://tex.z-dn.net/?f=68%3D20a%2Bb%5C%5C%20%5C%5C86%3D30a%2Bb)
Subtract these two equations:
![86-68=30a-20a\\ \\10a=18\\ \\a=\dfrac{9}{5}](https://tex.z-dn.net/?f=86-68%3D30a-20a%5C%5C%20%5C%5C10a%3D18%5C%5C%20%5C%5Ca%3D%5Cdfrac%7B9%7D%7B5%7D)
Substitute it into the first equation:
![68=20\cdot \dfrac{9}{5}+b\Rightarrow b=68-36=32](https://tex.z-dn.net/?f=68%3D20%5Ccdot%20%5Cdfrac%7B9%7D%7B5%7D%2Bb%5CRightarrow%20b%3D68-36%3D32)
So,
![f(x)=\dfrac{9}{5}x+32](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdfrac%7B9%7D%7B5%7Dx%2B32)
This is the function which converts Celsius to Fahrenheit.
And function
converts Fahrenheit to Celsius.