Answer:
x > -2
Step-by-step explanation:
-3x + 12 < 18
Subtract the 12 from both sides and you'll get:
-3x < 6
Divide by -3
x > -2
You flip the sign when you mulitply by a negative number
Hopefully this helps, sorry if it doesn't
Answer:
![=8\sqrt{15}b^{\frac{7}{2}}](https://tex.z-dn.net/?f=%3D8%5Csqrt%7B15%7Db%5E%7B%5Cfrac%7B7%7D%7B2%7D%7D)
Step-by-step explanation:
![\sqrt{24b^3}\sqrt{40b^2}\sqrt{b^2}](https://tex.z-dn.net/?f=%5Csqrt%7B24b%5E3%7D%5Csqrt%7B40b%5E2%7D%5Csqrt%7Bb%5E2%7D)
![=\sqrt{40}\sqrt{b^2}\sqrt{b^2}\sqrt{24b^3}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B40%7D%5Csqrt%7Bb%5E2%7D%5Csqrt%7Bb%5E2%7D%5Csqrt%7B24b%5E3%7D)
![=\sqrt{40}b^2\sqrt{24b^3}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B40%7Db%5E2%5Csqrt%7B24b%5E3%7D)
![\sqrt{24b^3}](https://tex.z-dn.net/?f=%5Csqrt%7B24b%5E3%7D)
![=\sqrt{24}\sqrt{b^3}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B24%7D%5Csqrt%7Bb%5E3%7D)
![=\sqrt{24}b^{\frac{3}{2}}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B24%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D)
![=\sqrt{24}b^{\frac{3}{2}}\sqrt{40}b^2](https://tex.z-dn.net/?f=%3D%5Csqrt%7B24%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B40%7Db%5E2)
![=\sqrt{2^3\cdot \:3}b^{\frac{3}{2}}\sqrt{40}b^2](https://tex.z-dn.net/?f=%3D%5Csqrt%7B2%5E3%5Ccdot%20%5C%3A3%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B40%7Db%5E2)
![=\sqrt{2^3}\sqrt{3}b^{\frac{3}{2}}\sqrt{40}b^2](https://tex.z-dn.net/?f=%3D%5Csqrt%7B2%5E3%7D%5Csqrt%7B3%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B40%7Db%5E2)
![\sqrt{2^3}](https://tex.z-dn.net/?f=%5Csqrt%7B2%5E3%7D)
![=2^{3\cdot \frac{1}{2}](https://tex.z-dn.net/?f=%3D2%5E%7B3%5Ccdot%20%5Cfrac%7B1%7D%7B2%7D)
![=2^{3\cdot \frac{1}{2}}\sqrt{3}b^{\frac{3}{2}}\sqrt{40}b^2](https://tex.z-dn.net/?f=%3D2%5E%7B3%5Ccdot%20%5Cfrac%7B1%7D%7B2%7D%7D%5Csqrt%7B3%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B40%7Db%5E2)
![=2^{\frac{3}{2}}\sqrt{3}b^{\frac{3}{2}}\sqrt{40}b^2](https://tex.z-dn.net/?f=%3D2%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B3%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B40%7Db%5E2)
![=2^{\frac{3}{2}}\sqrt{3}b^{\frac{3}{2}}\sqrt{2^3\cdot \:5}b^2](https://tex.z-dn.net/?f=%3D2%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B3%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B2%5E3%5Ccdot%20%5C%3A5%7Db%5E2)
![=2^{\frac{3}{2}}\sqrt{3}b^{\frac{3}{2}}\sqrt{2^3}\sqrt{5}b^2](https://tex.z-dn.net/?f=%3D2%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B3%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B2%5E3%7D%5Csqrt%7B5%7Db%5E2)
![=2^{\frac{3}{2}}\sqrt{3}b^{\frac{3}{2}}\cdot \:2^{\frac{3}{2}}\sqrt{5}b^2](https://tex.z-dn.net/?f=%3D2%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B3%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Ccdot%20%5C%3A2%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B5%7Db%5E2)
![=\sqrt{3}b^{\frac{3}{2}}\cdot \:2^{\frac{3}{2}+\frac{3}{2}}\sqrt{5}b^2](https://tex.z-dn.net/?f=%3D%5Csqrt%7B3%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Ccdot%20%5C%3A2%5E%7B%5Cfrac%7B3%7D%7B2%7D%2B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B5%7Db%5E2)
![=\sqrt{3}\cdot \:2^{\frac{3}{2}+\frac{3}{2}}\sqrt{5}b^{\frac{3}{2}+2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B3%7D%5Ccdot%20%5C%3A2%5E%7B%5Cfrac%7B3%7D%7B2%7D%2B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B5%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%2B2%7D)
![2^{\frac{3}{2}+\frac{3}{2}}](https://tex.z-dn.net/?f=2%5E%7B%5Cfrac%7B3%7D%7B2%7D%2B%5Cfrac%7B3%7D%7B2%7D%7D)
![=2^3](https://tex.z-dn.net/?f=%3D2%5E3)
![=2^3\sqrt{3}\sqrt{5}b^{\frac{3}{2}+2}](https://tex.z-dn.net/?f=%3D2%5E3%5Csqrt%7B3%7D%5Csqrt%7B5%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%2B2%7D)
![b^{\frac{3}{2}+2}](https://tex.z-dn.net/?f=b%5E%7B%5Cfrac%7B3%7D%7B2%7D%2B2%7D)
![=b^{\frac{7}{2}}](https://tex.z-dn.net/?f=%3Db%5E%7B%5Cfrac%7B7%7D%7B2%7D%7D)
![=2^3\sqrt{3}\sqrt{5}b^{\frac{7}{2}}](https://tex.z-dn.net/?f=%3D2%5E3%5Csqrt%7B3%7D%5Csqrt%7B5%7Db%5E%7B%5Cfrac%7B7%7D%7B2%7D%7D)
![=2^3\sqrt{3\cdot \:5}b^{\frac{7}{2}}](https://tex.z-dn.net/?f=%3D2%5E3%5Csqrt%7B3%5Ccdot%20%5C%3A5%7Db%5E%7B%5Cfrac%7B7%7D%7B2%7D%7D)
![=8\sqrt{15}b^{\frac{7}{2}}](https://tex.z-dn.net/?f=%3D8%5Csqrt%7B15%7Db%5E%7B%5Cfrac%7B7%7D%7B2%7D%7D)
Answer:
x = 14
Step-by-step explanation:
Given that,
2:7 is expressed in the form for 4:x.
We need to find the value of x.
2:7 must be equated to 4:x.
So,
![2:7=4:x\\\\or\\\\\dfrac{2}{7}=\dfrac{4}{x}\\\\x=\dfrac{7\times 4}{2}\\\\x=14](https://tex.z-dn.net/?f=2%3A7%3D4%3Ax%5C%5C%5C%5Cor%5C%5C%5C%5C%5Cdfrac%7B2%7D%7B7%7D%3D%5Cdfrac%7B4%7D%7Bx%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B7%5Ctimes%204%7D%7B2%7D%5C%5C%5C%5Cx%3D14)
So, the value of x is equal to 14.
Answer:
-50x
Step-by-step explanation:
−1x ( 1 − ( 7²) )
= ( − 1x ) ( 1 + 49 )
= ( −1x ) ( 1 ) + ( −1x ) ( 49 )
= −x − 49x
= −50x
9514 1404 393
Answer:
₱6400
Step-by-step explanation:
Let 'b' represent the amount invested in scheme B. Then 13900-b is the amount invested in scheme A. The total interest for 2 years is then ...
14%(13900-b)(2) +11%(b)(2) = 3508
1946 -0.03b = 1754 . . . . . . divide by 2, simplify
-0.03b = -192 . . . . . . . . . subtract 1946
b = 6400 . . . . . . . . . . . divide by -0.03
The amount invested in scheme B was ₱6400.