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]
PLS HELP ME AGAIN SMART PEOPLE I NEED A GOOD ANSWER PLSS IM CRYING
Answer:
1.b
2.d
Step-by-step explanation:
1.6(3x + 5) = 18x + 30 = 15x + 30 + 3x.
SO, the ? is equal to 30.
2. d
Given that x is an integer and that –15 <x 5 35,
write down the least value of x.
Answer:
a) d = 3 b) a(n) = 3n – 13 c) a(27) = 68
Step-by-step explanation:
solutions are (x, y) = (29,13) and (9349, 4181), which lead to (a, b) = (15,5) and (4895 ... corresponding to integer values of x give the quadruples. (x, y, z ... Since no number congruent to 3, modulo 4, can be written as the sum of two squares ... k is odd, the equation x2 - (k2 - 4)y2 = 4 has smallest solution in positive integers .
F(x) = 2x^3 + 5x^2 -6x-7 g(x) = 2x-3 find (f - g) (x)
Given:
The function are:
[tex]f(x)=2x^3+5x^2-6x-7[/tex]
[tex]g(x)=2x-3[/tex]
To find:
The function (f-g)(x).
Solution:
We have,
[tex]f(x)=2x^3+5x^2-6x-7[/tex]
[tex]g(x)=2x-3[/tex]
We need find (f-g)(x).
[tex](f-g)(x)=f(x)-g(x)[/tex]
[tex](f-g)(x)=2x^3+5x^2-6x-7-(2x-3)[/tex]
[tex](f-g)(x)=2x^3+5x^2-6x-7-2x+3[/tex]
On combining like terms, we get
[tex](f-g)(x)=2x^3+5x^2+(-6x-2x)+(-7+3)[/tex]
[tex](f-g)(x)=2x^3+5x^2-8x-4[/tex]
Therefore, the correct option is B.
Solve 1/6 + 3/4
help pls
Answer:
11/12
Step-by-step explanation:
1/6 = 2/12
3/4 = 9/12
2/12 + 9/12 = 11/12
A class is collecting data on the number of pets each student has. The class is divided into 4 groups. Which table shows the group of students with the greatest mean number of pets?
Answer:
The group of students on the top right those students have a mean of 2.6
Step-by-step explanation:
The mean is adding up all the different numbers of pets for each kid and dividing it by the number of kids so 13 the number of pets and 5 the number of different students
5m - 4z + 8m + 3 – 2z
Answer:
Step-by-step explanation:
5m+8m= 13m
-4z-2z= -6z
+3
= 13m-6z+3
Answer:
13m - 6z + 3
Step-by-step explanation:
pls help me:(!!!!!!!!!!
Answer:
A.........................
Maria earned a score of 80% on her math test. Each question on the quiz was worth 1 point, and Maria got 12 questions correct. How many questions were on the quiz?
Answer:
15 questions were on the quiz
Step-by-step explanation:
12/15 = .80 = 80%
Answer:
68?
Step-by-step explanation:
3 is an element in the domain of the function g(x)= -2x - 4 . What is the corresponding element in the range?
Hello! :)
[tex]\large\boxed{g(3) = -10}[/tex]
If 3 is apart of the domain, then x = 3.
The range is equivalent to g(x), or the y-value. To solve for this when x = 3, we must plug 3 into the equation:
g(x) = -2x - 4
g(3) = -2(3) - 4
Simplify:
g(3) = -6 - 4
g(3) = -10
Help me please guys.
Find the measure of angle b using the law of sines.
I need to show full work to the teacher
If X = 14, find the value of the variable a. If your answer is not an integer, express it in simplest radical form.
Answer:
Step-by-step explanation:
First thing I would do is square the 14, and put it under the radical. Itll make the calculations a little bit easier.
14sqrt(2) = sqrt392
Use the definition of sine to find the value of a
sin(45) = opposite/hypotenuse = a/sqrt392
[tex]sin(45)=\frac{a}{\sqrt{392} }[/tex]
a = 14
Pls help periodddd pooh
Answer:
the answer is n = -7
I also put a image to show you how to solve the equation. I hope the image helps.
Answer:
n= -7
Step-by-step explanation:
If you are the sole owner of a company with a net worth of $2.35 million dollars and are sued for $4 million dollars what is the amount that you must pay in the lawsuit? Why do you have to pay the amount that you stated?
Explanation: Well in my opinion.... Your networth doesn't matter its just showing how much money you spent...
Soo if you had $4 Million you'd pay it automatically.
5) 9x + 8y = -2
-5x + 8y = 26
A) (2, 2)
C) (2,-2)
B) (-2,-2)
D) (-2, 2)
Answer:
5)9x+8y=-2
-5x+8y=26
A) (2,2)
Ben is thinking of two numbers. Their sum is -10 and their difference is -2.
Answer:
ben is thinking of the equation -10 minus -8 and the answer for the problem is -2
Step-by-step explanation:
Apples are on sale at the local fruit stand at 4 lbs. for $2.60. Which equation can be used to find the cost, c, of n pounds of apples?
Answer:
C=.65n
Step-by-step explanation:
It costs 2.60 for 4 lbs of apples. For it to be 1 pound of apples it would cost 0.65 cents
So in all the cost is 0.65 cents for (n) or 1 pound of apples.
Answer:
c is or the apples n is for the pound of that apples
Step-by-step explanation:
x-10= 30 Which value of x makes the equation true
Hello, how are you?. I need help. Do you know where they sell teething toys for puppies in California?
Chad's bedroom floor is 18 feet long and 13 feet wide. He has an area rug on his floor that is 2 feet long and 8 feet wide.
Which statement tells how to find the amount of the floor that is not covered by the rug? Select all that apply.
A Add 18 × 13 and 2 × 8.
B Add 18 + 13 + 2 + 8.
C Subtract 18 × 13 from 2 × 8.
D Subtract 2 × 8 from 18 × 13.
E Subtract 16 from 18 × 13.
F Subtract 13 × 8 from 18 × 2.
9514 1404 393
Answer:
D Subtract 2 × 8 from 18 × 13.E Subtract 16 from 18 × 13.Step-by-step explanation:
To find the area not covered, the rug area must be subtracted from the floor area. Each of those areas is the product of their respective dimensions. The statements describing that subtraction are ...
D Subtract 2 × 8 from 18 × 13.
E Subtract 16 from 18 × 13.
4x + 6°
6x - 100
7x + 14°
9514 1404 393
Answer:
x = 10°; angles are 50°, 46°, 84° (CW from left)
Step-by-step explanation:
The sum of the three angles is 180°, so ...
(6x +10°) +(4x +6°) +(7x +14°) = 180°
17x +10° = 180°
17x = 170°
x = 10°
__
Then the angles are ...
6x -10° = 6·10° -10° = 50°
4x +6° - 4·10° +6° = 46°
7x +14° = 7·10° +14° = 84°
Drag each equation to show if it could be a correct first step to solving the equation 3(6+x)=24.
ANSWER FAST PLEASE
Answer:
x=2
Step-by-step explanation:
Ivan started the week on page 35 of his book and read 20 pages each night. What page will Ivan be on if he reads for 8 nights?
Answer: he should be on page 195
Step-by-step explanation:
What is the solution to the system of linear equations graphed here?
A (2, -1)
B) (-1,2)
C (2, 1)
D) No Solution
Answer:
the solution is (-1, 2).
9x^{2} - x^{3} - 9 + x
What is ^^^ factored?
Step-by-step explanation:
9x² - x³ - 9 + x
factored = x²(9 - x) - (9 - x)
= (9 - x)(x² - 1)
= (9 - x)(x + 1)(x - 1)
Kecia made a password that consists of 4 digits, 0-9. None of the digits are the same. How many possible passwords did Kecia choose from? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK!!)
A. 70%
B. 5040
C. 5.2
D. 4(2X+4)
E. 300%
F. 2.5
G. 5267
H. 4X(2X-4)
I. 299%
J. .4
Answer:
There are 9 possible numbers for the first number. There are 8 possible numbers for the second number since one number has been picked. For the third number there are 7 possible numbers.
9*8*7=5040
Step-by-step explanation:
hello i am not that good at math and i struggle with fractions
problem: “divide 2/8 by 9/18. Input your answer as a reduced fraction”
how do i do that?? how do i divide fractions and reduce them?
Answer:
the answer is 1/2 or 0.5
Step-by-step explanation:
So basically you just get on a calculator and divide it after you do that it will give you a decimal and all you have to do is convert that decimal to a fractiom so we know that 0.5 is a half so therefore 0.5=1/4
Which is a possible solution for -4 LaTeX: >> X
[tex] \text { > }[/tex]
\tex {>} is to be written
Evaluate −6 − (−4). (10 point)
−10
−2
24
2
Answer: negative 2 (-2)
Step-by-step explanation:-6+4=-2
Answer:
−2
Step-by-step explanation:
−6 − (−4)
= −6 − (−4)
= −6 + 4
= −2
I need help with this to I just want to make sure I’m right or wrong.!
Answer:
the answer is D
Step-by-step explanation:
Sasha spins the spinner shown below.
H
IF Sasha spins the spinner once, what is the
probability it will land on or G?
w
Answer:1/7
Step-by-step explanation:
