Step-by-step explanation:
Hey there!
To solve this type of question, you must take square of variable"X" to right side making it ±squareroot. As it is a quadratic equation it will have two values (±).
Given;
[tex] {x}^{2} = 16[/tex]
Taking (square) to right side. It becomes ± square root.
[tex]x = + - \sqrt{16} [/tex]
[tex]x = + - \sqrt{ {4}^{2} } [/tex]
Cancel square and square root.
[tex]x = + - 4[/tex]
Therefore, X = ±4
Hope it helps...
Answer:
There are two I results found which is x=4 and x=-4
Step-by-step explanation:
Step by Step Solution:
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Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x^2-(16)=0
Step by step solution :
STEP
1 :
Trying to factor as a Difference of Squares:
1.1 Factoring: x2-16
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 16 is the square of 4
Check : x2 is the square of x1
Factorization is : (x + 4) • (x - 4)
Equation at the end of step
1 :
(x + 4) • (x - 4) = 0
STEP
2 :
Theory - Roots of a product
2.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
2.2 Solve : x+4 = 0
Subtract 4 from both sides of the equation :
x = -4
Solving a Single Variable Equation:
2.3 Solve : x-4 = 0
Add 4 to both sides of the equation :
x = 4 and/or x=-4
Move the numbers to the lines to order them from least to greatest
Answer:
-3/2, 1.25, |-9/4|, 2.5, 121
Step-by-step explanation:
Convert all numbers to a decimal
-3/2 = -1.5
|-9/4| = 2.25
2.5 = 2.5
121 = 121.0
1.25 = 1.25
Now put them in order from least to greatest.
-3/2, 1.25, |-9/4|, 2.5, 121
The numbers to the lines to order from least to greatest; -3/2, 1.25, |-9/4|, 2.5, 121
How can we express numbers belonging to decimal numeral system?Suppose that the number is abcd.efg and belongs to the decimal numerical system.
Remember one thing that the place on the left of decimal point is called ones. Move one-one places to right, and divide by 10 and 10 more and more.
Convert all the numbers to a decimal
-3/2 = -1.5
|-9/4| = 2.25
2.5 = 2.5
121 = 121.0
1.25 = 1.25
Now put them in order from least to greatest, we get;
-3/2, 1.25, |-9/4|, 2.5, 121
Learn more about place value here:
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it is math can someone help me, please
Answer:
Less than 3,
9/4
Step-by-step explanation:
Andrew and Kate have $30 to spend on dinner, tax, and gratuity at Mo’s Restaurant. Tax is 6%, and they will give a 15% tip on the total bill after taxes. Their dinner costs $21.00. Which statement correctly explains whether Andrew and Kate have enough money to pay their bill?
Yes. They have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
No. They do not have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
No. They do not have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
Answer:
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
jenna is a professional typist. she can type 22,500 words in 5 hours of typing. in one hour, jenna can type blank words. in one minute, she can type blank words
An instructor gives his class a set of 18 problems with the information that the next quiz will consist of a random selection of 9 of them. If a student has figured out how to do 13 of the problems, what is the probability the he or she will answer correctly
all 9 questions? =.0147
atleast 8 questions ?
Answer:
The probability the he or she will answer correctly is 1.5%
Step-by-step explanation:
Is 5 x n - 3 the correct algebraic expression for five times the difference of a number and three
Answer:
5(n-3)
Step-by-step explanation:
There would be parenthesis because you'd subtract three from the number first.
OMG help what is the relationship between the 5's in 345,502 I think this is math
The first five in the number 345,502 is in the thousands place.
The second five in the number 345,502 is in the hundreds place.
This is the relationship between the two 5's.
Hope this helps!
3x + 5 = x - 3
Due today (in 10 minutes)
Answer:
I hope that helps!
x = -4
v=vo+at;find a if v = 20, vo = 30, t =5.
Answer:
-2 = a
Step-by-step explanation:
v = vo + at
20 = 30 + a5
now get the numbers and the variable on different sides
30 + a5 - 30 = a5
20 - 30 = -10
-10 = a5
now im going to divide each side by 5
a5 / 5 = a
-10 / 5 = -2
-2 = a
Step-by-step explanation:
[tex]V = V _{0} + at \\ 20 = 30 + a \times 5 \\ 5a = 20 - 30 \\ 5a = - 10 \\ \\ a = - \frac{10}{5} \\ \\ a = - 2[/tex]
Multiply the following binomials:
(x + 10)(x - 5)
Answer:
X^2+5x-50
Step-by-step explanation:
X^2-5x+10x-50
Answer:
X² - 5x + 10x - 50
Step-by-step explanation:
Use the FOIL method!
How is 5/2 divided by 1/4 equals 10 responsible
Answer:
Step-by-step explanation:
'll just help with proving whether she is correct.
First of all, a fraction divided by a fraction can be made into multiplication since the division of two fractions is kinda difficult
so remember keep, change, flip
keep the first fractions, change the division symbol into multiplication, then flip the fraction i.e. 1/2 becomes 2/1
so 5/2 divided by 1/4 becomes
5/2 * 4/1
which then solved becomes
20/2 which is simplified to 10
Hope this helps :)
Divide:
−54 ÷ −9 =
pls help llllllllllllllll
Answer:
Step-by-step explanation:
When you divide two negative numbers, the negative sign cancels. So you just get an answer of 6.
Answer:
6
Step-by-step explanation:
-54 / -9
ok so first of all we can just change them to positive
54 / 9
this is what goes on in my head
the 2 digits equal 9
a number times 9 is just that number less then that number times 10
54 / 9 = 6
-54 / -9 = 6
Lin divides the polynomial 2x^2 -4x+1 by 4 and gets 0.5x^2 -x + 0.25. is 0.5x^2 - x +0.25 a polynomial
Answer: yes
Step-by-step explanation:
The expression 0.50 x² - x + 0.25 is a polynomial.
It is given that Lin divides polynomial 2x² - 4x + 1 by 4 and gets 0.5x² - x + 0.25.
We have to find out that whether the expression given is a polynomial ?
What do you mean by a polynomial ?
Polynomials are algebraic expressions that consist of variables and coefficients e.g., polynomial with one variable is x² + x - 12.
As per the question ;
Lin divides polynomial 2x² - 4x + 1 by 4 and gets 0.5x² - x + 0.25
Let's check ;
(2x² - 4x + 1 ) ÷ 4
= [tex]\frac{2x^{2} }{4}[/tex] - [tex]\frac{4x}{4}[/tex] + [tex]\frac{1}{4}[/tex]
= [tex]\frac{x^{2}}{2}[/tex] - x + 0.25
or
= 0.50 x² - x + 0.25
or a form of polynomial i.e., ax² + bx + c.
Thus , the expression 0.50 x² - x + 0.25 is a polynomial.
To learn more about polynomials click here ;
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Solve: 39 - 7x = -4(7x + 7) + 4
[tex](x - 2) { }^{2} = 0[/tex]
How many solutions does this equation have?
Jim Kosla earns $156,200 annually as a plant manager. He is married and supports 3 children. The state tax rate in his state
is 3.55% of taxable income. What amount is withheld yearly for
state income tax?
Answer:
$5545.10
Step-by-step explanation:
3.55% of $156,200 = $5545.10
Trevor has already run 26 miles on his own, and he expects to run 1 mile during each track practice. How many miles would Trevor have run after 24 track practices
Answer:
the answer is 50
you have to add 26 to 24
A box of 15 cookies costs $9.
What is the cost for 1 cookie?
Answer:
0.6
Step-by-step explanation:
Answer:The cost for 1 cookie is 60 cents.
is 12.68 greater the whole number 8
Answer:
no, it is not. 8 < 12.68
Step-by-step explanation:
A team won 8 of 24 games it played in one season what percentage of games did it win
Answer:
it would have won 1/3 or .333333
Step-by-step explanation:
8/24 simplifies to 1/3, which equals .33333
Answer:
I'm pretty sure it's 33%
Step-by-step explanation:
8 is 1/3 of 24 and 1/3 as a fraction is 33%
Do you think you can write a disjunction that has no
solution? Explain your reasoning.
what is the answer for this
Answer:
no
Step-by-step explanation:
then you have nothing like no "pazas"!
What is the size of a terabyte?
what is the absolute value of -8? use the number line to answer the question.
Answer:
that will be 8 because you are moving forward or backward that amount of spaces
pwease can i have help pwease if two answer I will give brainliest
What’s 0.83 answer when the 3 keeps repeating
Answer:
A decimal that never ends is called A repeating decimal or recurring decimal
2 and square root of 2 + square root of 8 - 4 and square root of 1 over 2
Answer:
2.828427125, 2.82 or just round it to 3 if you want
Step-by-step explanation:
All you have to do is type it into the Desmos Scientific Calculator exactly how you see it.
The sides of a rectangle are 4.06 meters and 14 meters. Taking significant figures
into account, what is the area of the rectangle?
Answer:
56.84
Step-by-step explanation:
For rectangles and squares you multiply those two numbers and there is your answer. Then for triangles you multiply those two numbers but then you divide by 2 always. You got this! Keep going!
If the tax rate is 7%, what is the tax on a $60 stuffed animal?
Answer:
$4.20
nice
Step-by-step explanation:
Every morning for the past 12 days Beth used 2/3 of a cup of milk on her cereal to determine how much milk she used in total she set up the equation 2/3x12
Answer:
8
Step-by-step explanation:
2/3*12=24/3=8
easy way:
2/3*12/1=24/3=8
A tank of gas cost about $32.25 on a midsize car if the tank holds 15 gallons what is the cost per gallon?
Answer:
$483.75
Step-by-step explanation:
32.25 x 15 = 483.75
If I'm wrong, please kill me ;-;