The solution set of the equation is: x = -3, x = 3.
How to Find the Solutions to an Equation?Given the equation, x² + 12 = 21, the solution set is the possible value of x that will make the equation true. To find the values of x, do the following as shown below:
x² + 12 = 21
Subtract 21 from both sides of the equation
x² + 12 - 21 = 21 - 21
x² + 12 - 21 = 0
x² - 9 = 0
Find the difference of the two squares
(x + 3)(x - 3) = 0
x = -3
x = 3
Therefore, the solution set of the equation is: x = -3, x = 3.
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How do answer this question?
Answer:(0,4)
Step-by-step explanation:
Answer:
(-5, -1)
Step-by-step explanation:
2help me PLEASE THIS IS WORTH SO MANY POINTS PLEAS EHELP ME
Answer:
I would say A
Step-by-step explanation:
Because just because a quadrilateral has 4 congruent sides, does not make it a rhombus. Because a square has 4 congruent sides too.
A box of chocolates contained 12. 5% caramels. There were 5 caramels in the
box. How many pieces of chocolate are in the box?
A. There are 63 pieces of candy in the box.
B. There 8 pieces of chocolate in the box.
C. There are 40 pieces of chocolate in the box.
D. There are 4 pieces of chocolate in the box
The box of chocolates which contain 12.5% caramels has C. 40 pieces of chocolate in the box.
To solve this exercise the percentage formula and the procedure to be applied is as follows:
n= (% * nt) / 100
Where
% = percentagen= number portionnt = total of the number portionInformation about the problem:
% = 12.5%n = 5nt =?Using the percentage formulate and isolating the total of the number portion (nt), we get:
n= (% * nt) / 100
nt = (n*100) / %
nt = (5 * 100) / 12.5
nt = 40
C. There are 40 pieces of chocolate in the box.
What is a percentage?Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.
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A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between first base and third base?
Hint: the answer will be a 4 digit number, it might include decimals it might not i dunno
Answer:
127.3 feet
Step-by-step explanation:
Use Pythagorean Theorem which says
leg^2+leg^2=hyp^2
90^2+90^2= c^2
8100 +8100=c^2
16200 = c^2
sqrt16200 = c
c ~= 127.27922
Round to one decimal place.
c ~= 127.3 feet
OR, use the shortcut of Special Right Triangles, 45°-45°-90° where, the long side (hypotenuse) is the leg•sqrt2
The legs are 90.
So, the long side is 90•sqrt2
~= 127.27922
~= 127.3 feet
see image.
Which expression is equivalent to (m8n4)4? Options:
m^12n^8
m^4n
m^2n
m^32n^16
Answer:
[tex] = { \tt{ {( {m}^{8} {n}^{4}) }^{4} }} \\ = { \tt{ {m}^{(8 \times 4)} \times {n}^{(4 \times 4)} }} \\ = { \boxed{ \boxed{ \tt{ {m}^{32} {n}^{16} }}}}[/tex]
Jamal works at a grocery store part-time He must earn at least $200 each week He earns $8.50 per hour. Which inequality represents the number of hours, x, Jaal must work each week?
Answer: 24
Step-by-step explanation: he needs at least 24 hours and he will make 204 dollars.
6ab, 8ba, (-2ab) and (-3 bc)
Answer:
4ab = 5bc is the answer
Step-by-step explanation:
Answer:
12ab - 3bc.
Step-by-step explanation:
I am assuming you want to add these.
6ab + 8ba + (-2ab) + (-3bc)
= 6ab + 8ab - 2ab - 3bc
= 14ab - 2ab - 3bc
= 12ab - 3bc.
Evaluate the function.
f(x) = x² + 2x + 6
Find f(-7)
Answer: f(-7)=41
Step-by-step explanation:
f(x) = x² + 2x + 6
f(-7)=(-7)² + 2(-7) + 6
f(-7)=49-14 + 6
f(-7)=35 + 6
f(-7)=41
Answer:
f(-7) = 41
Step-by-step explanation:
f(x) = x² + 2x + 6
In order to find f(-7) ,we just need to substitute x in the expression of the function f by -7.
Then
f(-7) = (-7)² + 2(-7) + 6
= 49 - 14 + 6
= 35 + 6
= 41
Is o.227 a rational number explain
Answer: 227 is a rational number because it can be expressed as the quotient of two integers: 227 ÷ 1.
Step-by-step explanation:
anyone mind helping a girl out???
Hi!
Let's solve the equation for x!
[tex]\mid\bold{x-1\mid+5=2}[/tex]
Step 1:
Subtract 5 from both sides.[tex]\bold{\mid x-1\mid=-3}[/tex]
Now it's a little easier to solve! :')
Now, What does | | mean ?
Remember, It means "absolute value", and it's Always a positive number.
And this statement states: "take the absolute value of x-1, Whatever that happens to be, And it'll equal -3".
But that's impossible!
Therefore, this equation has no solutions.
I hope I helped you, have a wonderful day!
Good luck.- stargazing [tex]\tiny\pmb{0.2}[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{|x - 1| + 5 = 2}[/tex]
[tex]\large\text{Add }\rm{-5}\large\text{ to both sides: }[/tex]
[tex]\mathsf{|x - 1| + 5 - 5 = 2 - 5}[/tex]
[tex]\large\text{Simplify it:}[/tex]
[tex]\mathsf{|x - 1| = 2 - 5}[/tex]
[tex]\mathsf{|x - 1| = -3}[/tex]
[tex]\large\text{Since, the absolute value is SMALLER than 0, we have no solutions}[/tex]
[tex]\huge\boxed{\text{Answer: }\mathsf{No\ solutions}}[/tex][tex]\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
What will be the value of f(k)?
4x² - 6x +7
Answer: f(k)=4k² - 6k +7
Step-by-step explanation:
f(x)=4x² - 6x +7
f(k)=4k² - 6k +7
Which of these is a valid byte? check all that apply. 1 point 11011011 10022011 11100 00000000 2.
11011011, 11100, and 00000000 are the valid byte except 10022011.
In a system, a byte is a unit of data, that consists of 8 bits, where bits are the smallest unit of storage, bits are represented by just two digits 1 and 0, while bytes, it combination of bites, ranging from 0 and 1.In the given problem, 11011011, is a valid byte since it contains only 1 and 0 a total of 8 bits.11100 can be interpreted as 00011100 so, so it also consists of 8 bits of 1, and similarly =it is the same as 00000000, whereas 10022011, consists of 2, which is not a valid bit.
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When the coffee is brewed according to directions, a pound of coffee beans yields 50 cups of coffee 14 cups = 1 qt2. how many kg of coffee are required to produce 200 cups of coffee?
1.738 kg of coffee are required to produce 200 cups of coffee.
What is Proportion?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal.
Now it is given that,
1 pound of coffee yield 50 cups.
Since 1 pound = 0.4535 kg
Therefore, 0.4535 kg of coffee yield 50 cups.
Let x be the kgs of coffee that yields 200 cups of coffee.
Thus by proportion we can write,
0.4345 / 50 = x / 200
By cross multiplication we get,
50 x = 0.4345 * 200
⇒ 50x = 86.9
⇒ x = 86.9 / 50
⇒ x = 1.738 kgs
which is the required amount of coffee need to yield 200 cups.
Thus, 1.738 kg of coffee are required to produce 200 cups of coffee.
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Please help I have no idea
Answer: a=5
Step-by-step explanation:
-4(7a+5)=-160
-28a-20=-160
-28a-20+20=-160+20
-28a=-140
a=5
PLEASE HELP!
Beth is solving this equation: 1/3 + 3 = 3/x
She says “I can multiply both sides by x and get the linear equation 1 + 3x = 3, whose solution is x = 2/3 ."
Which of the following statements makes this a correct argument, or shows that it is incorrect? Select all that apply.
You cannot multiply both sides by x because you do not know what x is.
After multiplying both sides by x you need to subtract 1 from both sides.
You can assume x does not equal 0 because both sides are undefined is x = 0.
The equation is not linear, so you cannot use the methods normally used for solving linear equations.
Answer:
x= 0.9
step-by-step explanation:
LCM=3x
use the lcm to multiply each term
3x×1/3+3x×3=3x×3/x
cancel out
x+9x=9
10x=0
divide both side by the coefficient of x
10x/10=9/10
x=0.9
Stella buys 5 pineapples for $4.50. How much would she pay if she bought 7 pineapples? (hint: find the unit rate first then multiply)
*
Answer:
Step-by-step explanation:
4.50 divides by 5 than times the answer by 7
X to the power of 2 minus 6 minus 7
Answer:
[tex]x=\sqrt{13}[/tex]
Step-by-step explanation:
[tex]x^{2} - 6 - 7 = 0 \\x^{2} =13\\x=\sqrt{13}[/tex]
Please I need help on Geometry
The correct choices for midpoints and bisector angles are listed below:
DDBABCBAHow to determine the locations and measures of bisectorsIn this question we find four cases of determination of midpoints, that is, the point in a line segment such that the line segment is divided in two segments of equal length, and four cases of angle bisectors, that is, two angles of equal measure generated by a semirray.
First, we determine the location of the midpoints:
1) M(x, y) = 0.5 · (- 8, 9) + 0.5 · (- 9, 0)
M(x, y) = (- 8.5, 4.5)
M(x, y) = (- 8 1 / 2, 4 1 / 2)
2) M(x, y) = 0.5 · (1, 10) + 0.5 · (5, 5)
M(x, y) = (3, 7.5)
M(x, y) = (3, 7 1 / 2)
3) M(x, y) = 0.5 · (3, - 1) + 0.5 · (5, 3)
M(x, y) = (4, 1)
4) M(x, y) = 0.5 · (1, - 2) + 0.5 · (4, 5)
M(x, y) = (2.5, 1.5)
M(x, y) = (2 1 / 2, 1 1 / 2)
Bisector angles
5) The measure of the angle is 28°.
6) The measure of the angle is 38°.
7) The measure of the variable behind the angle is:
m ∠1 = m ∠2
2 · x + 3 = x + 11
x = 8
8) The measure of the variable behind the angle is:
m ∠ XVW = 2 · m ∠ 1
13 · x - 6 = 2 · (5 · x + 9)
13 · x - 6 = 10 · x + 18
3 · x = 24
x = 8
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whats the set of all prime numbers
Answer:
Step-by-step explanation:
prime numbers are numbers that are divisible by 1 and itself such as 2,3,5,7,11
there are also types of prime numbers which i recommend reading: https://en.wikipedia.org/wiki/Category:Classes_of_prime_numbers
An angle that has a measure of 75 is congruent to an angle that has a measure of (6x + 69.06) deg What is the value of x?
Answer:
5.94
Step-by-step explanation:
75 - 69.06 = x
x = 5.94
find the difference 78,003-32,136
Answer:
=45867
Step-by-step explanation:
[tex]\frac{\begin{matrix}\:\:&\textbf{\:\:}&7&9&9&13\\ \:\:&\textbf{7}&\linethrough{8}&\linethrough{10}&\linethrough{10}&\linethrough{3}\\ -&\textbf{3}&2&1&3&6\end{matrix}}{\begin{matrix}\:\:&\textbf{4}&5&8&6&7\end{matrix}}[/tex]
Evaluate each function.
41) k(t)=t-4; Find (10)
The value of k(10) is 6.
A function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has precisely one output and the output can be linked to its input.A relationship between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.Each function has a range, co-domain, and domain. The given function is k(t).k(t) = t-4Here, the value of k(t), depends upon the value of 't'. k(t) is the dependent variable whereas 't' is the independent variable. Substitute the value of 't' by 10.k (10) = 10-4k (10) = 6To learn more about functions, visit :
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PLS ANSWER ALL OF THE QUESTIONS IN ORDER
The the required value of function of the expression when x equal to 5 i.e f(5) is 167.
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given:
The given expression is
f(x) =[tex]7x^{2} -8[/tex]
We have to find the value of f(5).
According to given question we have
f(x) =[tex]7x^{2} -8[/tex]
Put the value of x= 5 in the given function we get,
f(x) =[tex]7x^{2} -8[/tex]
f(5) =[tex]7(5)^{2} -8[/tex]
After simplifying we get
f(5)=167
Therefore, the required value of function of the expression when x equal to 5 i.e f(5) is 167.
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What is the area of a triangle with the vertices (1,0), (6,0), and (3,8)?
Answer: 20
Step-by-step explanation:
Solve the quadratic equation by completing the square.
x²+18x+79=0
[tex]x^2 + 18x=-79 \\ \\ x^2 + 18x+81=2 \\ \\ \boxed{(x+9)^2=2} \\ \\ x+9=\pm \sqrt 2 \\ \\ x=-9 \pm \sqrt{2} \\ \\ \boxed{x=-9+\sqrt{2}, -9-\sqrt{2}}[/tex]
Evaluate the expression 5•5-1•3
5 * 5 - 1 * 3
Since multiplication goes before addition in PEMDAS, we do the multiplication first.
25 - 3
2
Answer:
22
Step-by-step explanation:
5•5-1•3
(5 x 5) - (1 x 3)
25 - 3
22
You would multiply both separately and then subtract.
Remember PEMDAS
:)
Find the percent cost of the total spent on each equipment $36, fees $158, transportation $59
Percent cost of the total spent on
each equipment = 14.23%,fees=62.45% and transportation = 23.32%.
As given in the question,
Money spent on
Each equipment = $36
Fees = $158
Transportation = $59
Total money spent = $( 36 + 158 + 59)
= $253
Percent cost of the total spent on
Each equipment = (36/253) × 100
= 14.23%
Fees = (36/253) × 100
= 62.45%
Transportation =(36/253) × 100
= 23.32%
Therefore, percent cost of the total spent on
each equipment = 14.23%,fees=62.45% and transportation = 23.32%.
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Solve the following equation and inequality.
5(2x+3)=35
3x-4>17
Answer: Ok I don’t have the answer but I have an example!
Step-by-step explanation: Solve for x and check: x + 5 = 3. Solution.
I hope this help maybe it might or might not give you the answer for your question I tried. ✨I hope this help!✨
The Carson family sent 800 text messages last month. Mrs. Carson sent 280 text messages. Ben sent 520 texts. What percentage of the family's text messages did each person send?
The percentage of the family's text messages did Mrs. Carson is 35 % and Ben is 65 %.
What is percentage?A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.
Given:
The Carson family sent 800 text messages last month.
Mrs. Carson sent 280 text messages
Ben sent 520 texts messages.
According to given question we have
Total text messages last month= 800
Mrs. Carson=
[tex]\frac{280}{800}*100\\ \\=35[/tex]
Ben
=
[tex]\frac{520}{800}*100\\ \\=65[/tex]
Therefore, the percentage of the family's text messages did Mrs. Carson is 35 % and Ben is 65 %.
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The numbers of students in the four
sixth-grade classes at Northside School are 26,
19, 34, and 21. Use properties to find the total
number of students in the four classes.
The total number of students in the four classes is 100 students.
How to compute the value?From the information, the numbers of students in the four sixth-grade classes at Northside School are 26, 19, 34, and 21.
Therefore, the total number of students will be:
= 26 + 19 + 34 + 21
= 100
Therefore there are 100 students.
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