Answer:
5x - 11
Step-by-step explanation:
Step 1: Write out expression
2(x + 8) + 3(x - 9)
Step 2: Distribute
2x + 16 + 3x - 27
Step 3: Combine like terms (x)
5x + 16 - 27
Step 4: Combine like terms (constants)
5x - 11
11. D. Square Pyramid
12. A. Cube
Answer:
y = (-2/3)x-3
Step-by-step explanation:
Hello:
equation is the line is : y = ax+b a is a slope
y = (-2/3)x+b
passing through the point (−3;−1) : -1 =(-2/3)(-3)+b so : b = -3
y = (-2/3)x-3
second solution : you can verify (-3 ; -1) in the equation : y = (-2/3)x-3
Answer:
x = - 4, x = - 
Step-by-step explanation:
Given
3x² + 14x + 8 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 + 8 = 24 and sum = + 14
The factors are + 12 and + 2
Use these factors to split the x- term
3x² + 12x + 2x + 8 = 0 ( factor the first/second and third/fourth terms )
3x(x + 4) + 2(x + 4) = 0 ← factor out (x + 4) from each term
(x + 4)(3x + 2) = 0
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = -
Answer:
109% of increase
Step-by-step explanation:
In order to know the increase in the percentage, we can do this in various methods, however let's follow the method using only rule of 3; you can also do it by the variation index, however, rule of 3 is easier.
First, we need to know the difference between 756$ and 1580$:
1580 - 756 = 824$
Now let's set the rule of three, assuming that 756 is 100% innitial:
756$-------->100%
824$--------> X
Solving for X:
X = 824 * 100 / 756 = 109.9947%
And if you round this number: 109%
