Answer:
2x² + 15x + 27
Step-by-step explanation:
(2x + 9)(x+3)
2x² + 6x + 9x+ 27
2x² + 15x + 27
When discriminant >0, then it contrains 2 distinct real zeros.
Discriminant=6 and 6>0 so, you have 2 solutions.
Answer:
a. 17 b. 51
Step-by-step explanation:
Follow Order of Operations (PEMDAS):
Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
a. 9 + 4² - (4-2) • 4
9 + 4² - (4-2) • 4 –––Start with (4-2) = 2 (parentheses)
9 + 4² - 2 • 4 ––– 4² (exponents)
9 + 16 - 2 • 4 ––– 2 • 4 (multiplication)
9 + 16 - 8 ––– 9 + 16 (addition)
25 - 8 ––– 25 - 8 (subtraction)
17
b. 15 - 4 + 2(7-3) • 5
15 - 4 + 2(7-3) • 5 ––– Start with 2(7-3)
~ Note: this can be done using distributive property (2•7 - 2•3) OR solving the parentheses first and then multiplying 2(4). Both get 8 and same end result.
15 - 4 + 8 • 5 ––– 8 • 5 (multiplication)
15 - 4 + 40 ––– 15 - 4 (subtraction) *Note: Subtraction and addition are interchangeable in the order because you do it left to right*
11 + 40 ––– 11 + 40 (addition)
51
ookies. OK
How to calculate 12 divided by 4
Long Division
Here we will show you step-by-step with detailed explanation how to calculate 12 divided by 4 using long division.
Before you continue, note that in the problem 12 divided by 4, the numbers are defined as follows:
12 = dividend
4 = divisor
Step 1:
Start by setting it up with the divisor 4 on the left side and the dividend 12 on the right side like this:
4 ⟌ 1 2
Step 2:
The divisor (4) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
0
4 ⟌ 1 2
Step 3:
Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.
0
4 ⟌ 1 2
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
0
4 ⟌ 1 2
- 0
1
Step 5:
Move down the 2nd digit of the dividend (2) like this:
0
4 ⟌ 1 2
- 0
1 2
Step 6:
The divisor (4) goes into the bottom number (12), 3 time(s). Therefore, put 3 on top:
0 3
4 ⟌ 1 2
- 0
1 2
Step 7:
Multiply the divisor by the result in the previous step (4 x 3 = 12) and write that answer at the bottom:
0 3
4 ⟌ 1 2
- 0
1 2
1 2
Step 8:
Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom.
0 3
4 ⟌ 1 2
- 0
1 2
- 1 2
Answer:
Im not sure what type of solution you are looking for. You should be more specific. Though I will still give you some helpful solutions and you use the one you need.
Step-by-step explanation:
Factored: y=168x+67y-49
Solved for Y; -28x/11 + 49/66
Solved for X: -11y/28 + 7/24
X and Y intercepts:
X=( 7/24, 0 )
Y= ( 0, 49/66 )
I hope these answers help. Next time be more specific to what your looking for and make sure your equation is written correctly.
