1/7 x 9/4 = 9/28
This process to solving division involving fractions is called “keep, change, flip”
Answer:
A. 3m² + 4m + 1 = 0
3m² + 3m + m + 1 = 0
3m (m + 1) + 1 (m + 1) = 0
( 3m + 1 ) (m + 1) = 0
B. 16n - 25
16n = 25
n = 25/16
Answer:
y = -x/3 + 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
Standard Form: x + 3y = 18
<u>Step 2: Rewrite</u>
<em>Find slope-intercept form</em>
- Subtract <em>x</em> on both sides: 3y = -x + 18
- Divide 3 on both sides: y = -x/3 + 6
The answer is <span>5, 4, 2
</span>
Among all choices we have 5, so
x = 5
x - 5 = 0
Let's divide the expression by (x - 5) using the long division:
x³ - 11x² + 38x - 40
(x - 5) * x² = x³ - 5x² Subtract
____________________________
-6x² + 38x - 40
(x - 5) * (-6x) = -6x² + 30x Subtract
____________________________
8x - 40
(x - 5) * 8 = 8x - 40 Sutract
____________________________
0
Thus: x³ - 11x² + 38x - 40 = (x - 5)(x² - 6x + 8)
Now, let's simplify x² - 6x + 8.
x² - 6x + 8 = x² - 2x - 4x + 8 =
= x² - 2*x - (4*x - 4*2) =
= x(x - 2) - 4(x - 2) =
= (x - 4)(x - 2)
Hence:
x³ - 11x² + 38x - 40 = (x - 5)(x - 4)(x - 2)
To calculate zero:
x³ - 11x² + 38x - 40 = 0
(x - 5)(x - 4)(x - 2) = 0
x - 5 = 0 or x - 4 = 0 or x - 2 = 0
x = 5 or x = 4 or x = 2
Answer:
It would take her 5.85 minutes to run 1 kilometer.
Step-by-step explanation:
76/13= 5.846
