<span>Use the distributive property to rewrite each algebraic expression: Do not solve, just rewrite.
1) 8(x + 7) = 8x + 56
2) 5(x - 10) = 5x - 50
3) 6(11 + x) = 66 + 6x
</span><span>Factor each expression. (Pull a common factor from each number)
COMPLETED EXAMPLE: 27 + 12 = 3(9 + 4) → (3 is the shared factor for 27 and 12)
4) 12 + 36 = 12 (1 + 3)
5) 16 + 20 = 4 (4 + 5)
Solve each expression using the distributive property.
6) 4 x 82 = 4 (80 + 2) = 320 + 8 = 328
7) 12 x 44 = 12 (40 + 4) = 480 + 48 = 528
</span><span>8) Mrs. S bought 9 folders and 9 notebooks. The cost of each folder was $2.50. Each notebook cost $4. First, write an expression for the problem then find the total cost.
Expression = 9f + 9n = 9($2.50) + 9($4)
Total cost =</span>9($2.50) + 9($4) = $22.5 + $36 = $58.5
Answer:
-1 and 5
-2 and 6
-4 and 8
<u><em>They all give the same total i.e. 4</em></u>
Answer:
aaaa
Step-by-step explanation:
In a short paragraph, describe how you would determine the amount of work needed to pull a toboggan the length of a football field. Be sure to include the equipment list and describe the measurements that you will take.
Answer:
u = (-21)/20
Step-by-step explanation:
Solve for u:
u + 1/4 = (-4)/5
Put each term in u + 1/4 over the common denominator 4: u + 1/4 = (4 u)/4 + 1/4:
(4 u)/4 + 1/4 = -4/5
(4 u)/4 + 1/4 = (4 u + 1)/4:
1/4 (4 u + 1) = -4/5
Multiply both sides of (4 u + 1)/4 = (-4)/5 by 4:
(4 (4 u + 1))/4 = (-4)/5×4
4×(-4)/5 = (4 (-4))/5:
(4 (4 u + 1))/4 = (-4×4)/5
(4 (4 u + 1))/4 = 4/4×(4 u + 1) = 4 u + 1:
4 u + 1 = (-4×4)/5
4 (-4) = -16:
4 u + 1 = (-16)/5
Subtract 1 from both sides:
4 u + (1 - 1) = (-16)/5 - 1
1 - 1 = 0:
4 u = (-16)/5 - 1
Put (-16)/5 - 1 over the common denominator 5. (-16)/5 - 1 = (-16)/5 - 5/5:
4 u = (-16)/5 - 5/5
-16/5 - 5/5 = (-16 - 5)/5:
4 u = (-16 - 5)/5
-16 - 5 = -21:
4 u = (-21)/5
Divide both sides by 4:
u = ((-21)/4)/5
5×4 = 20:
Answer: u = (-21)/20
Given:
The equation of a quadratic function is:
To find:
The equation of the axis of symmetry for the given function.
Solution:
If a quadratic function is 
, then the equation of the axis of symmetry is:
...(i)
We have,
Here, 
. So, the equation of axis of symmetry by using (i), is
Therefore, the correct option is C.
