Answer:
f(x)=-2x+9 g(x)=-4x^2+5x-3Now, f o g (x) = f{g(x)} = f(4x^2+5x-3) = 2(4x^2+5x-3) + 9 = 8x^2+10x-6 + 9
Step-by-step explanation:
Answer:
b = -2
Step-by-step explanation:
Start with your given:
-3b + 7 = 13
Subtract 7 on both sides:
-3b = 6
Then, divide -3 on both sides and solve:
b = -2
Answer:
The y intercept is (0, 8). The equation of the function is f(x) = 10x + 8
Step-by-step explanation:
Given that after 1 hour of work, Jack will make 18 dollars and the slope is 10, subtract 10 dollars from 18 dollars to find his set amount, or y-intercept.
18 - 10 = 8 dollars.
Now that we have the m and b values, we can create our equation.
The equation in standard form is f(x) = mx +b, where m = the slope and b = the y-intercept. Plug our values in and the equation will be f(x) = 10x + 8. You can test if this is correct by plugging in x values from the table and seeing if your calculated value correctly corresponds to the given y value in the table.
Answer:
2.09 × 10¹⁰ pounds
Step-by-step explanation:
The American chemical industry produces more than 9.5 million metric tons of sodium carbonate.
in this problem we have to calculate the amount in pounds of sodium carbonate are produced annually.
so we will convert the amount of 9.5 million metric tons to pounds.
Since in 1 metric ton = 2204.62 pounds
Hence, 9,500,000 metric ton = 2204.62 × 9,500,000
= 20943890000 pounds
= 2.09 × 10¹⁰ pounds
2.09 × 10¹⁰ pounds of sodium carbonate are produced annually.
2/3 is the answer. You divide both numbers by 6 and you will get your lowest factor
