x(−2) 2 =4(−2) = -2
Explanation:To solve this equation, we first need to understand the order of operations in mathematical equations. The acronym PEMDAS is often used to remember the order: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
In this equation, we have parentheses and exponents. According to PEMDAS, we need to solve the parentheses first before moving on to the exponent. So, let's start by simplifying the parentheses on the left side of the equation.
x(-2)^2 = 4(-2)
= x(4) = -8
= 4x = -8
= x = -2
In the first step, we distributed the exponent of 2 to the -2 within the parentheses, resulting in (-2)^2 = (-2)(-2) = 4. This simplifies the left side of the equation to x(4) = 4x.
In the second step, we substituted the value of -2 on the left side of the equation, resulting in 4(-2) = 4x. This simplifies to -8 = 4x.
To isolate x, we divide both sides by 4, resulting in x = -2. This gives us our final answer.
In conclusion, when solving equations with multiple operations, it is important to remember the order of operations and follow it step by step. In this equation, we simplified the parentheses first, then solved for x by isolating it on one side of the equation. By following these steps, we were able to find the value of x, which is -2.
Perform the indicated operation.
7 + 9 + (-4)
20
-20
12
-12
Answer:
12Step-by-step explanation:
HAVE A GREAT DAY EVERYBODYWhat equation could be used to solve this problem?
The sum of two consecutive integers is 141. Find the integers.
Find an expression in simplest form for the verbal description. The sum of the cost of dinner d and a $27 tip divided equally between 3 people
Final answer:
The expression for the cost of dinner plus $27 tip divided by three people is (d + 27) / 3.
Explanation:
To find an expression for the given verbal description, first write the sum of the cost of dinner d and a $27 tip. This sum is represented by the expression d + 27. Then, to divide this sum equally among 3 people, you divide the entire expression by 3. The final expression in simplest form would be (d + 27) / 3.
What is the distance between (4,7) and (2,2)?
Choose 1 Answer:
A: √10
B:√29
C: 8
D: 9
What is the exit diameter of a #4 size gas tungsten welding nozzle?
2^x=3^x+1 what are the exact approximate solutions
Answer:
The exact approximate solution is x=-3.
Step-by-step explanation:
Given : Expression [tex]2^x=3^{x+1}[/tex]
To find : What are the exact approximate solutions?
Solution :
Step 1 - Write the expression
[tex]2^x=3^{x+1}[/tex]
Step 2 - Taking log both side,
[tex]\log(2^x)=\log(3^{x+1})[/tex]
Step 3 - Applying logarithmic property, [tex]\log a^x=x\log a[/tex]
[tex]x\log(2)=(x+1)\log(3)[/tex]
Step 4 - Solve
[tex]x(\log(2)-\log(3))=\log(3)[/tex]
[tex]x=\frac{\log(3)}{(\log(2)-\log(3))}[/tex]
[tex]x=\frac{\log(3)}{\log(\frac{2}{3})}[/tex]
[tex]x=\frac{0.477}{-0.176}[/tex]
[tex]x=-2.710\approx -3[/tex]
Therefore, The exact approximate solution is x=-3.
Answer:
D edge
Step-by-step explanation:
Alex’s father is 5 times older than Alex and Alex is twice as old as his brother Nick who is 5 years old. How old is Alex's father?
Answer:
i think its 50....
Mike and his friend were playing 2 on 2 at the public court. They were using a homemade basketball and the volume of the ball was 288p. A regulation basketball has a circumference between 29.5-30 in. Can this ball be used in a regulation basketball game?
what is 48% of 576? round the answer to the nearest hundredth
Suppose the ram for a certain computer has 256m words, where each word is 16 bits
The mathematical equation relating the independent variable to the expected value of the dependent variable; that is, e(y) = ?0 + ?1x, is known as
What is the fraction 3/2 squared in fraction form?
Please help
Fraction 3/2 squared in fraction form is 9/4.
What is Fraction?A fraction represents a part of a whole.
Given,
The fraction is 3/2
In the given fraction the numerator is three and denominator is 2
Three by two which is a improper fraction
We have to square 3/2
Three by Two whole square
(3/2)²
Three square by two square
3²/2²
Nine by four
9/4
Hence fraction 3/2 squared in fraction form is 9/4.
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If a cube shaped cell is 3 units tall by 3 units wide and 3 units long, what is the volume of the cell?
The volume of the cube is 27 cubic units.
Volume = side length × side length × side length
Given:
the side length of the cube is 3 units,
we can calculate the volume as follows:
Side length = 3 units
Volume = 3 units × 3 units × 3 units
= 27 cubic units
So, the volume of the cube-shaped cell is 27 cubic units.
The area of a square living room is 256 ft2. Which is the length of the room?
N the metric system, how many microseconds are needed to make one second?
Identify the number that does not belong with the other three. Explain your reasoning. -[tex] \frac{10}{2} [/tex], -13.4, [tex] \sqrt{18} [/tex], 22.7
solve the equation
6x-2y+1=0
3x-5y+7=0
Which statement is true about the domain of y = 3(2^-x)? Explain.
The domain is all real numbers greater than or equal to 2.
The domain is all real numbers greater than 0
The domain is all real numbers
The domain is all real numbers less than 0
The correct statement about the domain of y = 3(2-x) is that the domain is all real numbers. The domain of the function y = 3(2^-x) is all real numbers, as there are no restrictions on x from the form of the function itself.
The correct statement about the domain of y = 3(2-x) is that the domain is all real numbers. This is because for the function given, there are no restrictions on the values that x can take. The base of the exponent, 2, is positive and since exponents can take any real number, negative or positive, there is nothing to prevent any real x from being used as an input. Furthermore, since the function does not contain any terms that would result in undefined operations, such as division by zero or negative numbers under an even root, the domain remains unrestricted.
true or false, If points F and G are contained in a plane, then FG is entirely contained in that plane
Some friends equally split some containers of strawberries. each container held the same number of strawberries. the expression 9x/7 represents how many strawberries each person received when splitting x containers. what does the number 7 in the expression represent?
Which of the following compensation options helps pay for premiums that cover medical expenses?
A.
Cafeteria plan
B.
401(k)
C.
Life insurance
D.
Health insurance
Answer: Option 'D' is correct.
Step-by-step explanation:
Health insurance is an insurance that covers the risk of a person incurring medical expenses, for this TPA is hired to verify and collect the medical bills regarding the medical expenses .On the other hand, Life Insurance covers the risk of death of a person and after the sum insured goes to the Nominee.
Whereas, Cafeteria plan is a reimbursement plan done by employees to contribute their gross income in a designated accounts.
Hence, Option 'D' is correct.
Find three consecutive even integers such that 4 times the third integer is 4 more than the 3 times the first integer plus two times the second integer.
The true conditional statement, "If 5x + 7 = 2x - 1, then 3x + 7 = -1," illustrates which property of equality?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Answer: The correct option is second, i.e., Subtraction Property of Equality.
Explanation:
The given equation is,
[tex]5x+7=2x-1[/tex]
The Subtraction Property of Equality states that if a, b and c are real numbers then, [tex]a=b[/tex] and [tex]a-c=b-c[/tex] are equivalent equations.
Using Subtraction Property of Equality we subtract 2x from both the sides of given equation,
[tex]5x+7-2x=2x-1-2x[/tex]
Then combined like terms,
[tex](5x-2x)+7=(2x-2x)-1[/tex]
[tex]3x+7=-1[/tex]
It is the required equation.
Hence, second option is correct.
Which value is equivalent to
Select one:
a. 64 over 49
b. 8 over 49
c. 16 over 7
d. 512 over 7
Find the perimeter of quadrilateral pqrs with the vertices p(2 4) q(2 3) answer
Although this problem can be solved easily if given the figure, we can simply imagine to solve this. We see that we are given two points of the quadrilateral which are (2, 4) and (2, 3). This means that from P to Q, there is only a distance of 1. Since a quadrilateral has 4 equal sides therefore the perimeter is 4 units.
Answer:
4 units
Use the distributive property to simplify the expression ( y − 9 ) ( 10)
Suppose you have 2 1/2 cups of ice cream. If a serving consists of 1/2 of a cup, how many servings do you have?
Question 1 options:
4
5
6
7
1/2 cup + 1/2 cup = 1 cup
so four 1/2 cups = 2 cups
so five 1/2 cup servings = 2 1/2 cups
answer is 5
Which equation is an example of the use of the associative property of addition ?
1) x+7=7+x
2)3(x+y)=3x+3y
3)(x+y) +3 =x+(y+3)
4)3+(x+y)=(x+y)+3
The associative property of addition is exemplified in the equation 3+(x+y)=(x+y)+3.
The equation that is an example of the use of the associative property of addition is:
3+(x+y)=(x+y)+3
This equation demonstrates that when adding three numbers, the grouping of the numbers does not affect the sum, showcasing the associative property of addition.
45 decrease by twice a number
In a recent year there were about 400,000,000 mobile internet users. That same year, there were about 1.2* into 10 ninths desktop internet users. About how many time larger was the number of desktop internet users than the number of mobile internet users?
Final answer:
The number of desktop internet users is 3 times larger than the number of mobile internet users.
Explanation:
To find out how many times larger the number of desktop internet users is compared to mobile internet users, we need to perform a division. We divide the number of desktop internet users by the number of mobile internet users.
The number of desktop internet users is represented as 1.2 x 109. To simplify this number, we can write it as 1,200,000,000. The number of mobile internet users is 400,000,000.
Now, we divide the number of desktop internet users by the number of mobile internet users:
1,200,000,000 / 400,000,000 = 3
Therefore, the number of desktop internet users is 3 times larger than the number of mobile internet users.