Answer:
12x² + 17x - 5
Step-by-step explanation:
Given
(3x + 5)(4x - 1)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(4x - 1) + 5(4x - 1) ← distribute parenthesis
= 12x² - 3x + 20x - 5 ← collect like terms
= 12x² + 17x - 5
Answer:
14.21 units
Step-by-step explanation:
We can use distance formula to solve this easily.
Distance Formula is ![D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28y_2-y_1%29%5E2%2B%28x_2-x_1%29%5E2%7D)
Where
D is the distance
x_1, y_1 is the first points, respectively (let it be -6,-6)
x_2,y_2 is the second pints, respectively (let it be 3,5)
Substituting the values into the formula, we can get the value of D:
![D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\D=\sqrt{(5--6)^2+(3--6)^2}\\D=\sqrt{11^2+9^2}\\ D=\sqrt{202} \\D=14.21](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28y_2-y_1%29%5E2%2B%28x_2-x_1%29%5E2%7D%5C%5CD%3D%5Csqrt%7B%285--6%29%5E2%2B%283--6%29%5E2%7D%5C%5CD%3D%5Csqrt%7B11%5E2%2B9%5E2%7D%5C%5C%20D%3D%5Csqrt%7B202%7D%20%5C%5CD%3D14.21)
This is the distance, the first answer choice is right.
To Find the percentage, divide the amount he put into savings, by the total net income, then multiply by 100:
300 / 2970 = 0.1010
0.1010 x 100 = 10.1%, which can be rounded to 10%
The answer is A.
Answer:
12-4
Step-by-step explanation:
The range of the data is found by taking the largest number and subtracting the smallest number
The largest number is 12
the smallest number is 4
12-4
Answer:
Step-by-step explanation:
the domain is : D = ]-3:2[
the range is : E = [- 4;5[