Answer:
The values of x are:
[tex]x=3,\:x=7[/tex]
Step-by-step explanation:
Given the expression
[tex](x-2)^2-6(x-2)+5=0[/tex]
Expand (x - 2)² = x² -4x + 4
[tex]x^2-4x+4-6\left(x-2\right)+5=0[/tex]
Expand: -6(x - 2) = -6x + 12
[tex]x^2-4x+4-6x+12+5=0[/tex]
simplifying
[tex]x^2-10x+21=0[/tex]
Factor x² -10x + 21: (x - 3) (x - 7)
[tex]\left(x-3\right)\left(x-7\right)=0[/tex]
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
[tex]x-3=0\quad \mathrm{or}\quad \:x-7=0[/tex]
solving x - 3 = 0
x - 3 = 0
Adding 3 to both sides
[tex]x-3+3=0+3[/tex]
simplify
x = 3
solving x - 7 = 0
x - 7 = 0
Adding 7 to both sides
[tex]x-7+7=0+7[/tex]
Simplify
x = 7
Therefore, the values of x are:
[tex]x=3,\:x=7[/tex]
Rodrigo acelera su bicicleta a razón de 0.9m/s2 bajo la acción de una fuerza de 94N ¿Cuál es la masa de ambos?
Answer:
no entiendo español
Step-by-step explanation:
no entiendo español
what 30 x 23 30 x 23
30 x 23 = 690
23 x 30 = 690
Answer: 690
Step-by-step explanation:
Now whats 34+35?
2. Three fourth of the students and an additional 18 students at the school purchased a spirit shirt during the last fundraiser. If 336 shirts were ordered, how many students are there in the school?
Step-by-step explanation:
The correct answer is 237
Answer:257
Step-by-step explanation:
I NEEED TO GET THIS RIGHT PLS ANSWERRRRR. ILL GIVE YOY ALOT OF POINTS AND A BRAINLYIST!!!
Answer:0.5n
Step-by-step explanation: its to long to explain but correct :)
Answer:
0.5n
Step-by-step explanation:
Kelly wants to buy cupcakes for her family. The radius of the cupcake is 12
inches, what is the distance around the cupcake? *
Your answer
Answer:
75.4 inches
Step-by-step explanation:
circumference = 2πr = 24π ≅ 75.4 inches
It's really more of a tubcake than a cupcake.
El polinomio que se encuentra en orden descendiente es:
A) 4x2 + 12x + 9x2
B) 4x3+12x2 +9x+6
C)4+12x2+9x3
D)4x+12x2+9
What is the total interest earned in two years on an account containing $500 at 3.5% interest, compounded annually?
Answer: $35.6125
Step-by-step explanation:
3.5% = 0.035
Let's find the deposit amount with interest at the end of the first year:
500 + 500 · 0.035 = 517.5
Let's find the amount of the deposit with interest at the end of the second year:
517.5 + 517.5 · 0.035 = 535.6125
Find the total interest earned over two years:
535.6125 - 500 = 35.6125
find the sum of 9/10 and 5/6 write an equation?
Answer: 1 11/15
Step-by-step explanation:
9/10 + 5/6
=
9 × 3
+--------
10 × 3
5 × 5
-------
6 × 5
=
27/30 + 25/30
=
27 + 25
-----------
30
=
52/30
=
52 ÷ 2
----------
30 ÷ 2
=
26/15
=
1 11/15
Answer:
Step-by-step explanation:
9/10 + 5/6 = 16/20
A right triangle and some of its measurements are shown in this diagram. Based on the measurements shown in the diagram, what is the value of T? HELP HELP GOD IMMA FAIL PLZ THIS IS URGENT
Answer:
t = 6√3 mm
Step-by-step explanation:
The angles of the triangle are 30°, 60°, and 90°. That's lucky for you, because the sides of a 30°-60°-90° triangle are always in the ratio 1:√3:2
The side opposite the 90° angle is 12 mm, so the side opposite the 30° angle is 12/2 = 6 mm
t = side opposite the 60° angle = 6√3 mm.
The value of T is 6√3.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
Hypotenuse = 12 mm
Using Trigonometry
sin 60 = P/H
√3/2= P/12
12√3/2= P
P= 6√3
Thus, the value of T is 6√3.
Learn more about Trigonometry here:
https://brainly.com/question/29002217
#SPJ2
In the year 2005, there were 100 rabbits in a particular region. Since then, the population has increased by 3.4% per year. Write an expression that represents the rabbit population in the year 2025, and solve it.
Answer:
Step-by-step explanation:
Your answer
Ok, lets do it systematically.
2005– 100 rabbits
3.4 % per year increasement.
So every year it increase 0.034 *100 = 3.4 per year
Total 2025-2005= 20 years
So expression is : 0.034*100*year(20)
Answer is : 3.4*20 = 68. So, in 2025, total rabbits will be 168
Mark it as Brainlist answer. Follow me.
Jeffrey needs $200 to buy a new iPod. Right now, he has $75. What percent of the $200 does he have?
PLEASE HELPPP
Answer:
40%
Step-by-step explanation:
Answer:
If you need help on further questions like this, divide what he has to what he needs or his goal
in order to get 37.5% you have to divide 75/ 200
You will get 0.357 and that is 37.5% this is ABOUT 40% but I reccomend putting 37.5% to be safe.
How many strikeouts per inning if there were 36 strikeouts in 60 innings
Answer:
0.6 strikeouts per inning
Step-by-step explanation:
36 strikeouts in 60 innings = 36/60 = 6/10 = 0.6
Answer: 0.6 strikeouts per inning
What is the slope of the line below?
(5,5)
(5,-2)
A. zero
B. negative
C. undefined
D. positive
Answer:
Undefined
Step-by-step explanation:
Vertical lines cannot be functions, since they yield multiple y-values for one single x-value.
don’t understand, plz explain very urgent
2(a+11)= -3(16-a) one solution, no solution, or infinite solutions
Answer:
the answer is one solution (70)
Step-by-step explanation:
2(a+11)=-3(16-a)
distribute
2a+22=-48+3a
subtract 2a from both sides
22=-48+a
add 48 to both sides
70=a
the answer is one solution (70)
3
What is the solution to the equation 9x = 54?
x = 6
B) x = 7
C
X = 8
x = 9
Answer:
6
Step to Step:
9x6=54
Answer:
Option A
Step-by-step explanation:
In order to find the answer to this equation you must remember to divide if there is a variable right next to the number.
[tex]9x=54[/tex]
[tex]\div9[/tex]
[tex]54\div9=6[/tex]
[tex]x=6[/tex]
Hope this helps.
Solve for y 35 = 11y
Answer:
y=35/11
or
3.18 repeating
Step-by-step explanation:
Answer: 3.18181818182y
Step-by-step explanation:
You would do 11y divided by 11. Then 35 divided by 11.
That would get you 3.18181818182=y
ntify each function if it is a polynon
1) P(x) = 5x +5x2+7
P(x) = 5x² + 5x + 7
"This is a polynomial because it is a 2nd degree trinomial or quadratic".
"Poly: meaning many, and nominal: meaning terms, combine to form the expression: "many terms".
What is an equation of the line that passes through the points (-7, 3)
and (-4, 3)?
Answer:
Step-by-step explanation:
(3-3)/(-4+7)= 0/3= 0
y - 3 = 0(x + 7)
y - 3 = 0
y = 3
11 more than x is less than. 3 (please)
Answer:
(11+x)-3
Step-by-step explanation:
11 more than x is another way of saying 11+x
And "less than 3" means subtracting 3 from the terms
So if you put that together it would be
(11+x) -3
In a bag there are 3 red marbles, 2 yellow marbles, and 1 blue marble. What is the percent chance of a yellow marble being selected on the first draw?
Group of answer choices
Answer:
33.333333% (the 3 goes on forever)
Hal earns n dollars per hour. Next month he
will receive a 296 raise in pay per hour. The
expression n +0.02n is one way to represent
Hal's pay per hour after the raise Write an
equivalent simplified expression that will
represent his pay per hour after the raise.
Answer:
[tex]Total = 1.02n[/tex]
Step-by-step explanation:
Given
[tex]Earnings = n[/tex]
[tex]Raise = 2\%[/tex] --- not 296
[tex]Total = n + 0.02n[/tex]
Required
Simplify the expression for total earning
The total amount is derived from:
[tex]Total = Earnings + Raise * Earnings[/tex]
[tex]Total = n + 2\% * n[/tex]
Express percentage as decimal
[tex]Total = n + 0.02 * n[/tex]
Now, we can solve further:
[tex]Total = n + 0.02n[/tex]
[tex]Total = 1.02n[/tex]
Hence, the simplified expression is 1.02n
Answer:
1.02n
Step-by-step explanation:
In which table is y a linear function of x
Answer:
We conclude that the table C represents a constant change in x and y.
Hence, table C represents that y is a linear function of x.
Step-by-step explanation:
Here are some of the rules using which we can easily figure out the true nature of a function.
Linear Function:
The constant change in x and y
Quadratic Function:
The constant change in x
The constant 2nd differences in y
Exponential Function:
The constant change in x
The constant ratio in y
We have to find a table in which y is a linear function of x.
Checking the table C
x -1 0 1 2 3
y 6 8 10 12 14
Here:
There is a constant change in x.
i.e. 0 - (-1) = 1; 1 - 0 = 1; 2 - 1 = 1; 3 - 2 = 1
Also there is a constant change in y.
i.e. 8 - 6 = 2; 10 - 8 = 2; 12 - 10 = 2; 14 - 12 = 2
Thus, we conclude that the table C represents a constant change in x and y.
Hence, table C represents that y is a linear function of x.
Amanda and her brother, Brian, are making chocolate milk. Amanda mixes 1 ounce of chocolate syrup and 6 ounces of milk in her cup. Brian mixes 2 ounces of chocolate syrup and 10 ounces of milk in his cup. Whose milk is more chocolaty?
Answer:
Brians milk is more chocolaty
Step-by-step explanation:
7/8 Of the distance between two cities is 147 miles. How far apart are the two cities?
Answer:
168
Step-by-step explanation:
First, find the unit rate (the amount it increases with every 1/8)
147 ÷ 7 = 21
Next, multiply that by the denominator (8)
21 x 8 = 168
The answer is 168
Answer:
1/168
Step-by-step explanation:
hope this is right but you divide both of them
Which statement is true about the polynomial 5s^6t^2 + 6st^2 - 8s^6t^2 - 6t^7 after it has been fully simplified?
Given:
The polynomial is
[tex]5s^6t^2+6st^2-8s^6t^2-6t^7[/tex]
To find:
The correct statement about the given polynomial.
Solution:
We have,
[tex]5s^6t^2+6st^9-8s^6t^2-6t^7[/tex]
On combining like term, we get
[tex]=(5s^6t^2-8s^6t^2)+6st^9-6t^7[/tex]
[tex]=-3s^6t^2+6st^9-6t^7[/tex]
Here, the terms are [tex]-3s^6t^2, 6st^9, 6t^7[/tex]. So, the number of terms is 3.
The degree of the polynomial is the highest power of the variable or the product of the variables.
Powers of [tex]-3s^6t^2, 6st^9, 6t^7[/tex] terms are 6+2=8, 1+9=10, 7.
Since the highest power of the product of the variable is 10, therefore, the degree of the polynomial is 10.
Hence the correct option is b.
3 days 22 hours equals how many hours
Answer:
94 hoursStep-by-step explanation:
3 days = 3×24 =72total hours= 72 + 22 = 942. Write and solve an equation for each situation.
Justin and Marcus went for a bike ride. Together they rode a total of 28.6 miles. If Justin rode 14.4
miles, how many miles (m) did Marcus ride? * help plz
Answer:
14.2 miles
Step-by-step explanation:
14.4 + m = 28.6 is your equation
Then subtract 14.4 from both sides
m = 14.2
hi to u famous girl !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
YEET
Step-by-step explanation:
Answer:kuktf
Step-by-step explanation:
oh;f' 'h
'd5r6sxfh;jhp
7n - 5
The polynomial is__
Answer:
polynomial have 7 side...