To find this from standard form you need to remove x to the other side. To do this you need to add 5x to both sides. You will end up with 3y=5x+6. To yet the y by itself you need to divide everything in the equation by 3. You would end up with y=5/3x +2 which is the equation in slope intercept form

8 0

3 years ago

At Gas ‘n’ Wash, gasoline sells for $4.00 a gallon and a car wash costs $12. Helisa wants to have her car washed and keep her to

maks197457 [2]

Answer:

g = 12

Step-by-step explanation:

Inequality is 4g + 12 < 60

Solving for g,

4g < 60 - 12

4g < 48

Divide both sides by 4,

g < 48 / 12

g < 12

The total amount of gas she can buy is 12 gallons

4 0

4 years ago

Simplify the expression

chubhunter [2.5K]

Answer:

sin(α) -cos(α)

Step-by-step explanation:

$\dfrac{2\sin^2{\alpha}-1}{\sin{\alpha}+\cos{\alpha}}=\dfrac{(2\sin^2{\alpha}-1)(\sin{\alpha}-\cos{\alpha})}{(\sin{\alpha}+\cos{\alpha})(\sin{\alpha}-\cos{\alpha})}\\\\=\dfrac{(2\sin^2{\alpha}-1)(\sin{\alpha}-\cos{\alpha})}{\sin^2{\alpha}-\cos^2{\alpha}}=\dfrac{(2\sin^2{\alpha}-1)(\sin{\alpha}-\cos{\alpha})}{\sin^2{\alpha}-(1-\sin^2{\alpha})}\\\\=\dfrac{(2\sin^2{\alpha}-1)(\sin{\alpha}-\cos{\alpha})}{2\sin^2{\alpha}-1}\\\\=\sin{\alpha}-\cos{\alpha}$

4 0

3 years ago