Yes, Ranger was right that expression 8x-20 can be simplified further as 4(2x-5).
The given expression is 8x-20.
Ranger says the expression is not in its simplest form. He thinks the two terms need to be combined.
Yes Ranger is correct, the given expression can simplified further.
That is, 8x-20
Factors of 8x and 20 are
8x=2×2×2×x
20=2×2×5
So, the common term is 4
Now, 8x-20=4(2x-5)
Yes, Ranger was right that expression 8x-20 can be simplified further as 4(2x-5).
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Answer:
Step-by-step explanation:
The question you should be asking yourself is, "80% of how many doctors is 240?" Algebraically, 80% is .8, "of" is multiplying, "how many doctors" is our unknown, and "is" means equals. Putting that all together:
.8x = 240 so
x = 300
Answer:V(x) = 6x³ + 4x² - 12x - 8
Step-by-step explanation:
The shoe box can either be cube shaped or cubiod shaped. The volume of the box is length × breadth × height
Since Area = Length × Breadth
Volume = Area × Height
V(x) = A(x) × H(x)
A(x) = 2x² - 4
H(x) = 3x + 2
V(x) = (2x² - 4)(3x + 2)
V(x) = 6x³ + 4x² - 12x - 8
Step 2: x = 30 – 5
Step 3: x = 25
Part A: Is Charlie's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (6 points)
Part B: How many solutions will this equation have? (4 points)
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Answer: A) Yes, his solution is incorrect.
B) The given equation has 1 solution.
Step-by-step explanation:
A) Here, the given expression is,
Thus, the steps of solving the given expression are as follow,
Step 1:
Ste 2 :
Step 3 :
Hence, by the above explanation,
It is clear that the given steps of the solution are incorrect.
B) Since, x has only one value which is 6,
Hence, the given expression has only one solution.
Line is divided into 4 equal parts.
we have to find a point which is closest to point A.
So that means required point P(x,y) is at 1 unit away from A(-1,1) and 3 unit away from B(8,4)
Now we just need to use section formula to get the coordinate of required point using m1=1 and m2=3
So the final answer is .
Answer:
ANSWER IS ( 5/4 , 7/4 ).
Step-by-step explanation: