Answer:
(x-2)
----------------
x^3
Step-by-step explanation:
(x^2 -4) x^3 -x^2 -6x
------------ ÷ ---------------------
x^3 + 7x^2 x^2 +4x -21
Copy dot flip
(x^2 -4) x^2 +4x -21
------------ * ---------------------
x^3 + 7x^2 x^3 -x^2 -6x
Factor
(x-2)(x+2) (x+7)(x-3)
------------ * ---------------------
x^2(x+7) x(x-3)(x+2)
Cancel like terms
(x-2) 1
------------ * ---------------------
x^2 x
(x-2)
----------------
x^3
Evaluate 5 ÷ 4/6 Give your answer as a mixed number in its simplest form.
Answer:
7 1/2
Step-by-step explanation:
5 ÷ 4/6 = 5 ÷ 2/3 = 5 × 3/2= 15/2= 7 1/2
Which number produces an irrational number when multiplied by 0.4?
Answer:
B unless it isnt
Step-by-step explanation:
B- some long decimal
(It’s pi. I hate pi.)
8. A candle is 4 inches tall and burns at the rate of 0.6 inch per hour. If the height of the candle after x hours is 1.5 inches,
write an equation to represent the situation. Then use this equation to find the expected number of hours in which the candle
melted to 1.5 inches.
Answer:
x-.6=1.5
Step-by-step explanation:
4-1.5=2.5 2.5/.6 is approximately 4
May invested $500 at 8% p.a. for 2 years. How much simple interest did she earn?
Answer:
The simple interest she earns is $80
p=500
r=8
t=2
Now,
SI=p×t×r/100
SI=500×2×8/100
SI=80
Answer:
[tex]\fbox{\begin{minipage}{5.5em}80 dollars\end{minipage}}[/tex]
Step-by-step explanation:
Given:
May invested $500 at 8% p.a. for 2 years.
Solve for:
The simple interest she earned.
Step 1: Define the formula to calculated the simple interest
Interest = Principal x Rate x Year
Step 2: Perform the calculation
With Principal = 500$, Rate = 8% = 8/100 = 0.08, and Year = 2
Interest = 500 x 0.08 x 2 = 80$
Hope this helps!
:)
Which statement is true about the end behavior of the
graphed function?
A: As the x-values go to positive infinity, the function's
values go to negative infinity.
B: As the x-values go to zero, the function's values go to
positive infinity
C: As the x-values go to negative infinity, the function's
values are equal to zero.
D: As the x-values go to positive infinity, the function's
values go to positive infinity.
Answer:
Option A.
Step-by-step explanation:
Let the given graph represent the function f(x).
From the given that given graph it is clear that the end behavior of the function f(x):
1. As the x-values go to positive infinity, the function's values go to negative infinity.
[tex]\lim\limits_{x\to \infty}f(x)=-\infty[/tex]
2. As the x-values go to negative infinity, the function's values go to positive infinity.
[tex]\lim\limits_{x\to -\infty}f(x)=\infty[/tex]
Therefore, the correct option is A.
Find the exact solution of the equation 7^x=8
Answer:
exact form:in(8)/in(7) decimal form: x
=
1.06862156
Step-by-step explanation:
Choose the correct algebraic expression: two plus the product of six and a number
A. 2+6+n
B. 2+6n
C. 2(6n)
D. 2(6+n)
The expression for the statement given can be written as 2 + 6n. The correct option is (B).
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
Suppose the required number be n.
Then, the expression for the statement can be written as follows,
Add 2 to the product of n and 6 to obtain,
2 + 6n
Hence, the required expression is given as 2 + 6n.
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If p ⊥ q, which of the following statements is true for the given figure? answers: A) ∠1 ≅ ∠3 B) ∠1 + ∠2 ≅ ∠3 + ∠4 C) ∠1 + ∠3 ≅ ∠2 + ∠4 D) ∠1 + ∠4 ≅ ∠2 + ∠3
Answer:
B
Step-by-step explanation: The givens are that line p is perpendicular to line q, so you know that angle 1 + angle 2 = 90 and angle 3 + angle 4 are 90 degrees. You can not tell by looking at the picture any other information, so you can only tell that angle 1 + angle 2 is congruent to angle 3 + angle 4.
Answer:
B is the right answer
Step-by-step explanation:
furniture maker used 1/2 of a can of paint to paint some chairs. She used 1/6 of a can of paint for each chair. How many chairs did she paint?
Answer:
3 chairs
Step-by-step explanation:
1/2 is the same as 3/6
There are three 1/6 in 3/6.
(3/6) ÷ (1/6) = 3
The requried, she painted 3 chairs as of the given proportion.
What is proportionality?Proportionality is the relationship between two or more sets of values, and it describes how these values are related to each other.
Here,
Let's assume that the number of chairs she painted is represented by the variable 'c'.
We know that she used 1/6 of a can of paint for each chair. So, the total amount of paint used for all the chairs can be expressed as:
1/6 x c = c/6
We also know that she used 1/2 of a can of paint in total. So we can set up the equation:
c/6 = 1/2
To solve for 'c', we can multiply both sides of the equation by 6:
c = 3
Therefore, she painted 3 chairs.
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if a new car is valued at $23,600 and 6 years later it is valued at $8000, then what is the average rate of change of its value during those 6 years?
help if you can I'm struggling with this i only get half of it right
Answer:
Does order matter? No.
There are 4 items. He will choose 3.
This is a combination because order does not matter. (I need the options for the blank part)
The completed formula is 4C3=4×3×2=24
The probability that Simon will choose the 3 coins that equal $0.40 is 5/6. (Enter your answer as a reduced fraction using / for the fraction bar.