Answer: x intercept = 6
This is the location (6,0)
===============================================================
Explanation:
I assume you're talking about the boundary line of the inequality. The boundary line equation is 2x + 3y = 12
To find the x intercept, plug in y = 0 and solve for x
2x + 3y = 12
2x + 3(0) = 12
2x = 12
x = 12/2
x = 6
The boundary line 2x+3y = 12 crosses the x axis at x = 6.
We can say the x intercept is x = 6. This is the location (6,0).
Side note: the y intercept is y = 4, which is found by plugging in x = 0 and solving for y.
y = 3(x + 4)^2 + 31
Step-by-step explanation:
We can convert the given quadratic equation into its vertex form by completing the square:
y = 3x^2 + 24x + 43
= 3(x^2 + 8x) + 43
= 3(x^2 + 8x + 4) + 31
= 3(x + 4)^2 + 31
This is the vertex form of the given quadratic equation with (-4, 31) as its vertex
Answer:
60
Step-by-step explanation:
As we have all the required values we need, Now we can put them in a simple mathematical formula as below:
STEP 172 = 120% × Y
STEP 272 =
120
100
× Y
Multiplying both sides by 100 and dividing both sides of the equation by 120 we will arrive at:
STEP 3Y = 72 ×
100
120
STEP 4Y = 72 × 100 ÷ 120
STEP 5Y = 60
Finally, we have found the value of Y which is 60 and that is our answer.
You can easily calculate 72 is 120 percent of what number by using any regular calculator, simply enter 72 × 100 ÷ 120 and you will get your answer which is 60
Answer:
22
Step-by-step explanation:
We can use the order of operations (PEMDAS), to solve this equation.
We must first multiply and divide, and order. This means we divide 12 by 3 and get 4, then multiply that by 2 and get 8. (30-12÷3×2,30-4×2,30-8). Now we just subtract 8 from 30 and get 22 as our answer.
