Answer:
the answer is 6
Step-by-step explanation:
you take the absolute value for both of them which is 2 and 8 but you keep the negative still so it would be -2+8 which is 6
Answer:
Final answer is approx x=0.16.
Step-by-step explanation:
Given equation is ![2.8\times 13^{4x} +4.8 = 19.3](https://tex.z-dn.net/?f=2.8%5Ctimes%2013%5E%7B4x%7D%20%2B4.8%20%3D%2019.3)
Now we need to solve equation
and round to the nearest hundredth.
![2.8\times 13^{4x} +4.8 = 19.3](https://tex.z-dn.net/?f=2.8%5Ctimes%2013%5E%7B4x%7D%20%2B4.8%20%3D%2019.3)
![2.8\times 13^{4x} = 19.3-4.8](https://tex.z-dn.net/?f=2.8%5Ctimes%2013%5E%7B4x%7D%20%3D%2019.3-4.8%20)
![2.8\times 13^{4x} = 14.5](https://tex.z-dn.net/?f=2.8%5Ctimes%2013%5E%7B4x%7D%20%3D%2014.5%20)
![13^{4x} = \frac{14.5}{2.8}](https://tex.z-dn.net/?f=13%5E%7B4x%7D%20%3D%20%5Cfrac%7B14.5%7D%7B2.8%7D%20)
![13^{4x} = 5.17857142857](https://tex.z-dn.net/?f=13%5E%7B4x%7D%20%3D%205.17857142857%20)
![\log(13^{4x}) = \log(5.17857142857)](https://tex.z-dn.net/?f=%5Clog%2813%5E%7B4x%7D%29%20%3D%20%5Clog%285.17857142857%29%20)
![4x \log(13) = \log(5.17857142857)](https://tex.z-dn.net/?f=4x%20%5Clog%2813%29%20%3D%20%5Clog%285.17857142857%29%20)
![4x = \frac{\log(5.17857142857)}{\log\left(13\right)}](https://tex.z-dn.net/?f=4x%20%3D%20%5Cfrac%7B%5Clog%285.17857142857%29%7D%7B%5Clog%5Cleft%2813%5Cright%29%7D%20)
![4x = 0.641154659628](https://tex.z-dn.net/?f=4x%20%3D%200.641154659628%20)
![x = \frac{0.641154659628}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B0.641154659628%7D%7B4%7D%20)
![x = 0.160288664907](https://tex.z-dn.net/?f=x%20%3D%200.160288664907%20)
Round to the nearest hundredth.
Hence final answer is approx x=0.16.
Answer:
y = 75 - x
Step-by-step explanation:
From the question, we are given variables, and then we can see that
when x = 75 then y = 0
when x = 30 then y = 45
Finding the difference, we have
slope(m) = (45 - 0) / (30 - 75)
slope(m) = 45 / -45
slope(m) = -1
Next, we use the calculated m, to find b, using the formula
y = mx + b
0 = -1 * 75 + b
0 = -75 + b
b = 75
And finally, to get the needed equation, we say that
so y = mX+c
So that
y = -1 * x + 75
y = -x + 75
or y = 75 - x
Answer:
A. The graph is a line that goes through the points (9,0) and (0,6).
Step-by-step explanation:
Given
![4x + 6y = 36](https://tex.z-dn.net/?f=4x%20%2B%206y%20%3D%2036)
Required
Select the true options
![(a)\ (9,0)\ and\ (0,6)](https://tex.z-dn.net/?f=%28a%29%5C%20%289%2C0%29%5C%20and%5C%20%280%2C6%29)
This implies that"
![(x_1,y_1)= (9,0)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%3D%20%289%2C0%29)
![(x_2,y_2)= (0,6)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%3D%20%280%2C6%29)
So, we have: ![(x_1,y_1)= (9,0)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%3D%20%289%2C0%29)
![4x + 6y = 36](https://tex.z-dn.net/?f=4x%20%2B%206y%20%3D%2036)
![4 * 9 + 6 * 0 = 36 + 0 = 36](https://tex.z-dn.net/?f=4%20%2A%209%20%2B%206%20%2A%200%20%3D%2036%20%2B%200%20%3D%2036)
So, we have: ![(x_2,y_2)= (0,6)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%3D%20%280%2C6%29)
![4 * 0 + 6 * 6 = 0 + 36 = 36](https://tex.z-dn.net/?f=4%20%2A%200%20%2B%206%20%2A%206%20%3D%200%20%2B%2036%20%3D%2036)
<em>Hence (a) is true.</em>