The solution of the provided equation (x – 3)(x 9), which is the product of two binomial equation, is 0.
How to find the solution of equation?The solution of the quadratic equation is the solution of the variable of the equation, for which the equation satisfies.
To find the solution of the equation, equate it to zero after factorizing it.
The equation provided in the problem is,
[tex](x - 3)(x+ 9)=-27[/tex]
Simplify the equation with the help of mathematical operations,
[tex](x - 3)(x+ 9)=-27\\x^2-3x+9x-27=-27\\x^2+6x-27+27\\x^2+6x=0\\x(x+6)=0[/tex]
Equate the factors to zero,
[tex]x=0;\; x=-6[/tex]
Hence, the solution of the provided equation (x – 3)(x 9), which is the product of two binomial equation, is 0.
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What is the median of this data set?
Answer:
median = 3.5
Step-by-step explanation:
the median is the middle value of the data sey. If there is no exact middle then it is the average of the values either side of the middle.
listing the values from the data set
1 , 1 , 2, 3 , 4 , 4 , 4 , 5
↑ middle
median = (3 + 4) ÷ 2 = 7 ÷ 2 = 3.5
At the end of last year, Jason's hometown was approximately 75,000 people. The
population is growing at the rate of 2.4% each year.
What was the increase in population over the 13 year period?
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y=-15x^2+1039x-7988
Answer:
$10,004 ??
Step-by-step explanation:
y = the amount of profit
x= Number of widget.
We know that,
The maximum value of a function only when the value of
Here a= -15 and b=1039
Plug them into x=-(b)/2(a)
y=(-15)(-1039/-30)^2+1039(-1039/-30)-7988
y=10004.016 round up to nearest dollar
y=$10,004
Check your solution t-7=2
Use the Pythagorean theorem to find the length of AC. Enter the answer in simplified form.
Need help ASAP!
Answer :
=> (AB)² + (AC)² = (BC) ²
=> (AC)² = (BC)² - (AB)²
=> (AC)² = (4√5)² - (2√5)²
=> (AC)² = 80 - 20
=> (AC)² = 60
=> AC = √60
=> AC = 2√15
How do you write thirteen and seventy-two hundredths as a decimal number?
Answer:
13.72
Step-by-step explanation:
What is the value of x?
Enter your answer in the box.
x =
5/6 × 9/10 =
A. 14/16
B. 15/30
C. 45/60
D. 50/54
Answer:
i believe the answer is c
Step-by-step explanation:
Answer:
c) 45/60
Step-by-step explanation:
Given problem,
→ 5/6 × 9/10
Let's solve the problem,
→ 5/6 × 9/10
→ (5 × 9)/(6 × 10)
→ 45/60
Hence, option (c) is correct.
Sin p and cos p please with steps
Answer:
sin(P) = (√11)/6cos(P) = 5/6Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between side lengths and trig functions in a right triangle. It tells you ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
__
QR is the side opposite angle P. PR is the side adjacent to angle P. PQ is the hypotenuse of this triangle. Translated to the given triangle, the trig functions are ...
sin(P) = (4√11)/24 = (√11)/6
cos(P) = 20/24 = 5/6
There were Math and Science books in one section of a library. Before an addition of 84 Math books, the ratio of Math books to Science books was 3 : 7. How many Science books were there if the eventual ratio of Math books to Science books was 6 : 7?
Answer:
196 science books
Step-by-step explanation:
Check the attachment.
The total number of sicience books were 196.
What is ratio?Ratio is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.
Let the total numbers of science books be x and maths books be y.
According to the given question.
The intial ratio of maths books to the science books is 3:7.
⇒ [tex]\frac{y}{x} = \frac{3}{7}[/tex] ...(i)
But, after the addition of 84 maths books the ratio gets changed to 6:7.
[tex]\implies \frac{y +84}{x} = \frac{6}{7}[/tex] ...(ii)
Solving the equations i and ii.
From equation i.
[tex]7y = 3x[/tex]
And from equation ii
[tex]7y + 7(84) = 6x[/tex]
Substitute the value of 7y = 3x in the above equation.
[tex]3x + 588 = 6x[/tex]
[tex]\implies 588 = 6x -3x[/tex]
[tex]\implies 3x = 588[/tex]
[tex]\implies x = \frac{588}{3}[/tex]
[tex]\implies x = 196[/tex]
Hence, the total number of sicience books were 196.
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Solve 5x 1 = 2x2 9x. which are steps in the process of completing the square used to solve the equation? 1 = 2(x2 2x) 1 = 2x2 4x 2 = 2(x2 2x 1) 3 = 2(x 1)2 2 = 2(x 1)2
Steps in the process of completing the square used to solve the given equation were discussed.
Given equation is:
[tex]5x+1=2x^{2} +9x[/tex], which is a quadratic equation
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where [tex]a\neq 0[/tex].
Taking all terms to the left side of the equation:
[tex]-2x^{2} -9x+5x+1=0[/tex]
[tex]-2x^{2} -4x+1=0[/tex]
[tex]2x^{2} +4x=1[/tex]
[tex]2(x^{2} +2x)=1[/tex]
To complete the square let us add 2 both sides
[tex]2(x^{2} +2x)+2=3[/tex]
[tex]2(x+1)^2=3[/tex].....(1)
So, equation (1) is the required answer.
Hence, steps in the process of completing the square used to solve the given equation were discussed.
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Answer:
A, B, D
Step-by-step explanation:
compare |-0.658| and |-0.653|.
The cost proposed by the taxi company that charges $3 for the taxi drop plus $1.50 for each mile driven can be expressed as c=
The cost proposed by the taxi company that charges $2 for the taxi drop plus $1.75 for each mile driven can be expressed as c=
Answer:
3 + (1.50 x m) = c
m stands for amount of miles driven, c stands for total cost.
In circle K with m \angle JKL= 144m∠JKL=144 and JK=6JK=6 units, find the length of arc JL. Round to the nearest hundredth
The length of arc JL is approximately 15.08 units.
We have,
The length of an arc in a circle can be calculated using the formula:
Arc Length = (θ/360) * 2πr
where θ is the central angle in degrees, r is the radius of the circle, and 2π is approximately 6.28.
In this case, we are given the central angle JKL = 144° and the radius JK = 6 units.
Plugging in the values, we have:
Arc Length = (144/360) * 2π * 6
Arc Length ≈ (0.4) * 6.28 * 6
Arc Length ≈ 15.072 units
Rounded to the nearest hundredth,
The length of arc JL is approximately 15.08 units.
Thus,
The length of arc JL is approximately 15.08 units.
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HELP PLEASE!!!!
Why is the statement incorrect that probability can be used to predict the result of an activity?
Answer:
I'm going to need a picture of more explanation
Which term refers to the forced migration of Cherokee Indians to land west of the Mississippi?
Fugitive Slave Act
Trail of Tears
Underground Railroad
Kansas-Nebraska Act
Solve for x in 25x+1 +52x+2 = 1250
Answer:
x = 1247/77
Step-by-step explanation:
25x + 1 + 52 + 2 =1250
25x + 3 + 52x = 1250
77x + 3 = 1250
77x + 3 - 3 = 1247
there are 3 60/100 bags of grass seed left in the shed.
Answer:
6/10
Step-by-step explanation:
divide the numerator and denominator by ten to remake the hundredths as tenths
What is 7x90? im only in 3 grade and my teacer asked me to answer the problem and i have no clue
Answer:
630
Step-by-step explanation:
Just add 90 seven times. (90+90+90+90+90+90+90=630) Hope this helps! Have a good day/night.
Answer:
7 x 90 = 630
Step-by-step explanation:
If you're not sure how to solve it, i will help you!!
Write it like this on paper:
90
x 7
now multiply them diagonal, for example, you would multiply 0 x 7, and then write it down, and it gives you this:
90
x 7
0
then you would multiply 9 times 7, which is 63, and put it in front of the 0, so you would have something like this:
90
x 7
630
Also i think you might be too young to be on here-
HELP I'll GIVE BRAINLIEST Tim was 27 years old 9 years ago. Which equation will tell you how old he is now? A) x + 9 = 27 B) x − 9 = 27 C) x + 9 = −27 D) x − 9 = −27
Answer: B
Step-by-step explanation:
x -9 will get you 27 (36 is the answer), but you can try every answer and see which one makes sense, as B is the only one that makes sense (D would have been the answer if it was the absolute value which is B)
pls need help in math<3
Answer:
I think its 6 and a half, not sure tho
Please explain how you got to the answer. I need help with number 1,4,5.
Step-by-step explanation:
Degree of a monomial is nothing but the sum of values of powers of the variables in given expression
1)4x²
DEGREE=2
2) 6abc= 6a¹b¹c¹
DEGREE=1+1+1=3
3) 2xy=2x¹y¹
DEGREE=1+1=2
4)a²b²
DEGREE=2+2=4
5) xyz³=x¹y¹z³
DEGREE=1+1+3=5
I hope it helped you
Answer:
1. 2
2. 3
3. 2
4. 4
5. 5
Step-by-step explanation:
The dregree is related to the exponent.
Every problem you have 1-5 shows a monomial. A monomial is a sinlge number, or a number multiplied by 1 or more variables.
The degree of a monomial is the sum of the exponents of all the variables of the monomial.
A variable is a letter. In these 5 problems, the variables are a, b, c, x, y, z.
If a variable has no exponent written, then its exponent is 1.
1. 4x²
There is one variable. The exponent on the variable is 2. The degree is 2.
2. 6abc
There are 3 variables, a, b, and c. Each variable has exponent 1 even though we do not write the 1. This expression is the same as 6a^1b^1c^1. Add the exponents: 1 + 1 + 1 = 3. The degree is 3.
3. 2xy
Rewrite, or think of it as, 2x^1y^1. Add the expoenents: 1 + 1 = 2. The degree is 2.
4. a²b²
Add the exponents: 2 + 2 = 4. The degreee is 4.
5. xyz³
Rewrite as or think of it as: x^1y^1z³. The sum of the exponents is 1 + 1 + 3 = 5. The degree is 5.
Mr. Schultz is randomly distributing 15 rulers with centimeter markings and 10 rulers without centimeter markings to his class. What is the probability that the first ruler he hands out will have centimeter markings and the second one does not have the markings?.
Using it's concept, it is found that there is a 0.25 = 25% probability that the first ruler will have centimeter markings and the second one will not.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
For the first ruler, there are 15 with markings out of 25, hence P(A) = 15/25.For the second ruler, there are 10 without markings out of 24, hence P(B|A) = 10/24.Thus, the probability is given by:
[tex]P(A \cap B) = P(A)P(B|A) = \frac{15}{25} \times \frac{10}{24} = 0.25[/tex]
0.25 = 25% probability that the first ruler will have centimeter markings and the second one will not.
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Consider a population of students, where 55% of them are good students. If were were to take a sample of 40 students, what is the probability of greater than 21 of the students being good?
Answer:
11/20.I am not so sure but guessed it
my sister needs help in math
Answer:
Step-by-step explanation:
The answer would be C.
The number sentence that represents the amount of change Kate receives back is $20.00 - $18.92 = $1.08, The correct option is C)
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
For daises= $6.99
For soil potting =$3.98
For ceramic pot= $7.95
Now,
The correct answer is C) $20.00 - $18.92 = $1.08.
To find the amount of change Kate receives back, we need to subtract the total cost of her purchases from the amount of money she has. The total cost of her purchases is:
$6.99 + $3.98 + $7.95 = $18.92
Kate has $20.00, so we can find the amount of change she receives back by subtracting the total cost of her purchases from $20.00:
$20.00 - $18.92 = $1.08
Therefore, by algebra answer will be $1.08.
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Which expression is equivalent to 0. 00007?
A 7 x 10-5
B) 7 10
7 x 10"
D7% 10%
Answer:
none of them equals 0.00007
unless a is 7 times 10 to the minus 5 power then the answer is a
Step-by-step explanation:
a=65 for 7 times 10 minus 5 unless the equation is 7 times 10 to the -5 power then the answer is a
b=70 for 7 times 10
c=700000000000 for 7 times 10 to the 11th power
d=0.007 for 7 percent times 10 percent
Find the area of the shaded polygons. it has the diameters of 6, 8, 10. I WILL AWARD BRAINLIEST. PLS HELP ASAP I NEED THIS PLSSSS
Answer:
8, 10
Step-by-step explanation:
hopes this helps!
PLS GIVE ME BRAINILIEST
4(3 + 1) − 2( − 2) = 13 solve
Answer:
Step-by-step explanation:
12 +4 - (-4)=13
12 +4 +4 =13
20 =13
20-13 =0
7=0
Is there any particular answer you need this channelled to?
9x + 5y = 35
2x + 5y = 0
Answer:
The answer is A
Step-by-step explanation:
I worked it out with all of the options A is the correct answer.
Kendra wants to crochet a blanket for her new baby cousin. Her pattern calls for 900 yards of thick, soft wool. She already has 200 feet of wool left from another project. At the craft store, she notices that each ball has 500 feet of wool. How many balls of wool should she buy?
balls of wool
1 yard = 3 feet
900 yards x 3 = 2,700 feet needed
subtract what she has:
2700-200 = 2,500 feet more needed
2,500 / 500 = 5 balls needed
answer: 5