Select the correct answer.Evaluate the following expression when x = -4 and y = 4.
X to the 6th power -x/4y
A.
1,023/4
B.
1,023
C.
1,025/4
D.
16,385/4
Answers
The required simplified value of the given expression at x = -4 and y = 4 is 16, 385/4. Option D is correct.
What is simplification?
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
when x = -4 and y = 4.
Expression = x⁶ - x/4y
Put x = -4 and y = 4.
= (-4)⁶ - [-4 /(4×4)]
= 4096 + 1/4
= 16385/4
Thus, the required simplified value of the given expression at x = -4 and y = 4 is 16, 385/4. Option D is correct.
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Final answer:
After evaluating the expression x^6 - x/4y with the given x = -4 and y = 4, the answer comes out to be 4096.25, which is not currently listed in the provided options. A likely explanation for this could be a typo or error in the question.
Explanation:
The given expression is: x^6 - x/4y . Now, let's substitute the given values x = -4 and y = 4 into the expression.
Therefore, (-4)^6 - (-4/4*4) = 4096 - (-4/16)
This gives 4096 - (-1/4) or 4096 + 1/4.
That simplifies to 16384/4 + 1/4 = 4096.25 which is none of the options presented. Hence, the correct answer should be "4096.25."
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What value of x is in the solution set of 2(3x – 1) ≥ 4x – 6?
Answers
There's no solution in the set of real numbers.
-50 + 3r + 50 - 3r
Answers
Answer:
0
Step-by-step explanation:
Group like terms= 3r-3r-50+50
Add similar elements= -50+50
Answer=0
I hope this helps!
Answers
Answer:
14
Step-by-step explanation:
where P is principal amount, R is rate in percentage and T is time.
Making T the subject of the formula,
For Ethan's case, Interest=$328.8-$200=$128.8
Substituting $128.8 for interest, 4.6% for rate and $200 for P we obtain
T=(128*100)/(4.6*$200)=14
Since the rate wasn't specified whether annually or monthly, the time can be 14 years or 14 months
Part 2: Using complete sentences, explain how plotting specific points helps graph the function and note any critical points such as its intercepts.
Answers
Part 1:
Domain : x ∈ ( 0, + ∞ ).
Range: y ∈ R.
General shape: The graph is decreasing.
Part 2 :
We will choose those points: x = { 1/3, 1, 3, 9 }
Ordered pairs ( for graphing the function ) are :
f ( x ) = { ( 1/3, 1 ), ( 1. 0 ), ( 3, - 1 ), ( 9, - 2 ) }.
There is no y - intercept and x - intercept is 1.
Answers
The solution is, Sam has 5 dimes and 7 quarters.
What is equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
Sam has $2.25 in quarters and dimes, and the total number of coins is 12.
let, Sam has n₁ dimes and n₂ quarters.
then, we have,
n₁*$0.10 + n₂*$0.25 = $2.25
and, we have,
n₁ + n₂ = 12
This means that:
n₁ = 12 - n₂
And:
(12 - n₂)*$0.10 + n₂*$0.25 = $2.25
12*$0.10 - n₂*$0.10 + n₂*$0.25 = $2.25
$1.20 + n₂*$0.05*(5-2) = $2.25
$1.20 + n₂*$0.05*3 = $2.25
$1.20 + n₂*$0.15 = $2.25
n₂*$0.15 = $2.25 - $1.20
n₂*$0.15 = $1.05
n₂ = ($1.05)/($0.15)
n₂ = 7
If n₂ = 7:
n₁ + 7 = 12
Therefore, n₁ = 5.
Answer:
5 dimes and 7 quarters.
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n₁ + n₂ = 12
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This means that:
n₁ = 12 - n₂
And:
(12 - n₂)*$0.10 + n₂*$0.25 = $2.25
12*$0.10 - n₂*$0.10 + n₂*$0.25 = $2.25
$1.20 + n₂*$0.05*(5-2) = $2.25
$1.20 + n₂*$0.05*3 = $2.25
$1.20 + n₂*$0.15 = $2.25
n₂*$0.15 = $2.25 - $1.20
n₂*$0.15 = $1.05
n₂ = ($1.05)/($0.15)
n₂ = 7
If n₂ = 7:
n₁ + 7 = 12
Therefore, n₁ = 5.
---------
Answer:
5 dimes and 7 quarters.
4s2t – 3st2
a.) The sum is a binomial with a degree of 2.
b.) The sum is a binomial with a degree of 3.
c.) The sum is a trinomial with a degree of 2.
d.) The sum is a trinomial with a degree of 3.
Answers
The statement (b) the sum is a binomial with a degree of 3 is correct.
What is an expression?
It is defined as the combination of constants and variables with mathematical operators.
We have expressions:
6s²t – 2st²
4s²t – 3st²
Adding the above two expression, we get;
= (6s²t – 2st²) + (4s²t – 3st²)
Combining like terms:
= 10s²t - 5st²
The above expression has degree 3(2+1)
Thus, the statement (b) the sum is a binomial with a degree of 3 is correct.
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