Answer:
Step-by-step explanation:
8x^2 - 8x + 2
2(4x^2 - 4x + 1)
2(2x - 1)(2x - 1) or 2(2x - 1)^2
answer is C
The complete factorization of [tex]8x^2 - 8x + 2[/tex] will be [tex]2(2x-1)^2[/tex] .
What is factorization ?Factorization is a process consists of writing a number or another mathematical object as a product of several factors solving it into other factors.
We have,
[tex]8x^2 - 8x + 2[/tex]
Using the mid term splitting method;
[tex]=8x^2-4x-4x+2[/tex]
[tex]=4x(2x-1)-2(2x-1)[/tex]
[tex]=(4x-2)(2x-1)[/tex]
[tex]=2(2x-1)(2x-1)[/tex]
[tex]=2(2x-1)^2[/tex]
So, the factorization of the given expression is given in option [tex](c)[/tex] i.e. [tex]2(2x-1)^2[/tex] .
Hence, we can say that the complete factorization of [tex]8x^2 - 8x + 2[/tex] will be [tex]2(2x-1)^2[/tex] .
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Is x = 6 a solution to the equation 5(x – 3) = x + 13? Follow the steps to find out. 1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. 2. Simplify both sides. Show your work. 3. Is x = 6 a solution to the equation? Why or why not? 4. Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution.
Answer:
x = 7Step-by-step explanation:
Testing if 6 is the solution:
5(x – 3) = x + 135(6 - 3) ? 6 + 135(3) ? 1915 ≠ 196 is not a solution
---------------------------------------------
Solving for x:
5(x – 3) = x + 13 ⇒ open parenthesis5x - 15 = x + 13 ⇒ isolate variable5x - x = 13 + 15 ⇒ simplify4x = 28 x = 28/4x = 7Answer:
x = 7
Step-by-step explanation:
Please help I have 30 minutes or I fail this assignment no joke please answer all the questions there's only four.
Answer:
Sorry if I am wrong don´t count on me tho I would wait until someone else answers cause I might be wrong.
1). 9
2). -2
3). i don´t know
4). i don´t know
Step-by-step explanation:
Sorry plz don´t be mad I´m only in 4th grade
A circle has a diameter of 26 units. What is the area of the circle to the nearest
hundredth of a square unit?
A 81.68
B 530.93
C 2,123.72
D 8.494.87
Answer:
b
Step-by-step explanation:
area = pie x radius(2)
= 3.142 x 13 (2)
= 530.998
Elimination method
3x + -3 =6
3x + 2y = 16
Answer:
(4,2)
Step-by-step explanation:
hope this answerss
The cost of a 4 pack of apple juice is $ 2.24. Write an equation that relates the cost in dollars, y, to the number of apple juice cartons, x.
Answer:
Cost = y/x
Step-by-step explanation:
The cost of a 4 pack of apple juice is $ 2.24.
We need to write an equation that relates the cost in dollars, y, to the number of apple juice cartons, x.
As 4 packs = $2.24
1 pack = 0.56
So, the equation can be :
Cost = y/x
anahi begins work each morning at 7:39 a.m. . she takes a lunch break at 11:25 a.m. and returns to work at. noon. how long is anahis lunch break????
Answer: 35 minutes
Step-by-step explanation: 60 - 25 minutes
Answer:
35 minutes....
(x+3)(x-8) Multiply and Simplify
Answer:
x^2-5x-24
Step-by-step explanation:
Marshall uses 10 ounces of pineapple
juice to make 25 ounces of fruit punch.
How many ounces of pineapple juice
does he need to make 150 ounces of fruit
punch?
Answer:
20 ounces
Step-by-step explanation:
the ratio for 10 ounces of pineapple juice to make 25 ounces of fruit punch is 2:5
so x:150
x = 20
Jonathan deposits $6,000 in a savings account that pays 2.1% interest compounded
quarterly. What is his balance after one year?
Given:
Principal= $6000
Rate of interest = 2.1% compounded quarterly.
To find:
The balance after one year.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.
We have, P=6000, r=0.021, n=4 and t=1.
Putting these values in the above formula, we get
[tex]A=6000\left(1+\dfrac{0.021}{4}\right)^{4(1)}[/tex]
[tex]A=6000\left(1+0.00525\right)^{4}[/tex]
[tex]A=6000\left(1.00525\right)^{4}[/tex]
[tex]A=6126.9957[/tex]
[tex]A\approx 6126.996[/tex]
Therefore, the balance after one year is $6126.996.
Answer:
C. $7,800
Step-by-step explanation:
2x-2-(2x-1)=x+4-1-(-3x)
Answer:
-1=x
Step-by-step explanation:
2x-2-(2x-1)=x+4-1-(-3x)
2x-2-2x+1=x+4-1+3x
-1=4x+3
-4=4x
-1=x
In Tennessee, the state sales tax rate is 9.25%. A bike costs 129.99, and an electric scooter costs 324.99. Rounded to the nearest cent, how much morr is the tax on the scooter than the tax on the bike
Answer:
213.04
Step-by-step explanation:
Multiple both by 1.0925 and then subtract from each other.
Answer:
$18.04
Rounded: $18.00
Step-by-step explanation:
Scooter tax: $30.06
Bike tax: $12.02
Hope this helped!
g−9=−19
Help plz
Pleaseeeeee
Answer:
g = -10
Step-by-step explanation:
what is the absolute value of -6 please help
Answer:
6
Step-by-step explanation:
its 6
i’ll give brainlest!
Answer:
Z = 3
Step-by-step explanation:
if y = 3 then 3 x 2 = 6 subtract that from 9 and u get 3 so therefore z is 3
please help me on this will give you brainliest
Answer:
x + 8*19
Step-by-step explanation:
Please hurry
5/6x-1/3>1 1/3?
Answer:
-5/18 >4/3
Step-by-step explanation:
Make this brainliest , thank you!
a) Write 5.1 x 10^-1as an ordinary number.
Answer:
0.51
Step-by-step explanation:
The equation of a line is given below.
9x - 3y=3
Find the slope and the y-intercept.
Then use them to graph the line.
A rectangular field has an area of 646 square feet. The width of the field is 19 feet. What is the length of he field?
If rectangular field has an area of 646 square feet. The width of the field is 19 feet. Then length of the field is 71.77 feet.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given,
Area of rectangular field is 646 square feet.
width of the field is 19 feet.
We need to find the length of the field.
Area of rectangle=Length×Width
646=Length×19
Divide both sides by 19
Length=646/9
Length=71.77 feet
Hence 71.77 feet is the length of the field.
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find the trigonometric ratio
this is geometry with trig
Answer:
tanZ = [tex]\frac{20}{15}[/tex]
Step-by-step explanation:
tanZ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{XY}{ZY} }[/tex] = [tex]\frac{20}{15}[/tex]
Ash is 4 years younger than Gary, and Oak is 5 times Gary's age. The sum of their three ages is 94. Find Gary's age. Show working out. Thanks!!
Answer:
Step-by-step explanation:
If Gary's age is 14 then
Ash is 4 years younger = 14 - 4 = 10
And Oak is 5 times Gary's age = 14 x 5 = 70
So total ages = 70 + 14 + 10 = 94
plz show how you got the answer
Hi there! I'm here to help. :)
Okay, so here you are solving for x. To solve for x, you must get it alone on one side of the equal sign. As we can see, it is not alone, and it is with 1 1/4 on the left side of the equal sign.
To get it alone, we need to subtract 1 1/4 from both sides. However, to subtract fractions, we need to make sure they have the same denominator. Looking at the fractions, we can see that they have two different denominators.
Begin by converting both fractions into improper fractions:
1 1/4 = 5/4
3 1/2 = 7/2
So now our equation looks like this: x + 5/4 = 7/2
Now we need to make it to where we our fractions have the same denominator.
Our current denominators are 4 and 2. The LCM (lowest common multiple) of 4 and 2 is 4, so you leave 5/4 as it is (because it's denominator is already 4) and you change 7/2.
Multiply 2 * 2 to make the denominator 4 in 7/2, but whatever you do to the denominator, you MUST do to the numerator. So multiply 7 * 2 = 14. Now your fraction looks like this: 14/4
Now we have:
1 1/4 = 5/4
3 1/2 = 14/4
Our denominators are the same now! Now here comes the easy part: We subtract! Do 3 1/2 - 1 1/4, or, 14/4 - 5/4. To subtract fractions, simply subtract the numerators and leave the denominators as is. 14 - 5 = 9, so 14/4 - 5/4 = 9/4.
Now our equation looks like this:
x = 9/4
LASTLY: All of your options are mixed numbers, so convert this improper fraction back into a mixed number. 9/4 = 2 1/4.
So, x = 2 1/4. :)
What is the value of the expression "eight more than three times the difference of four and a number" when n =
3?
□44
□19
□17
□11
Answer:
11
Step-by-step explanation:
3 (4 - n) + 8
When n = 3:
3 (4 - 3) + 8
3 (1) + 8
3 + 8
11
Answer:
11
Step-by-step explanation:
WILL GIVE BRAINLIEST PLZZZ HELP
Answer:
1.5
Step-by-step explanation:
Cause the standard of the table and the multiplication of have 3a,0,5 will give you your answer.
A bee flies at 6 feet per second directly to a flowerbed from its hive the bee stays at the flowerbed for 17 minutes, and then flies directly back to the hive at 4 feet per second. It is away from the hive for a total of 22 mins
Answer:
576 feet.
Step-by-step explanation:
5 - 13 = 2 minutes x 60 =120 seconds that the bee spent flying back and forth.
a - Distance = Time x Speed
Time =Distance / Speed
D / 12 + D / 8 = 120, solve for D
b - D = 576 feet from the hive to the flowerbed.
Explain what a rational exponent such as 5/2 means. Use this explanation to evaluate 9^5/2
Answer: The denominator of the rational exponents represents the index of a rule and the numerator of the rational exponent represents the power of the base.
(sqrt 9)^5= 243
The scatter plot shows the maximum noise level when different numbers of the people are in the stadium. The linear model is given by the equation y=1.5x+22.7, where y represents maximum noise level and x represents the number of people the number of people ,in thousands, in the stadium. y=1.5x+22.7
3. What is the y intercept of the linear model given? What does it mean in the context of the problem? Is this reasonable? Explain the reasoning?
The y-intercept of the equation is 22.7 and it represents the initial value of the noise at the y-axis.
What is a scatter plot?A scatter plot is a type of plot or mathematical diagram that displays values for two variables for a set of data using Cartesian coordinates. One more variable can be displayed if the points are coded.
Given that the scatter plot shows the maximum noise level when different numbers of people are in the stadium. The linear model is given by the equation y=1.5x+22.7, where y represents the maximum noise level and x represents the number of people,in thousands, in the stadium. y=1.5x+22.7
The equation for the maximum noise is given as, y=1.5x+22.7. In the given equation the slope of the line is equal to 1.5. The y-intercept of the equation is 22.7 which represents the initial value of the noise at the y-axis.
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A cactus casts a shadow that is 15 feet long. A gate nearby casts a shadow that is 5 feet long. Find x, the height of the cactus. in middle school
Answer 15 ft
hope it is helpful
Is there a way to quickly find a function if you have a handful of ordered pairs?
ex. (-6, 10) (-4, 7) (-2, 4) (0, 3) (2, 0) (4, -3)
A scale model of the empire state building is 8cm tall. The actual building is 1454 feet tall. What scale factor was used to create the scale model?
Answer:
Scale Factor [tex]= 5540[/tex]
Step-by-step explanation:
As we know -
Scale scale factor [tex]= \frac{L_p}{L_m}[/tex]
[tex]L_p =[/tex] Length of Actual object
[tex]L_m =[/tex] length of the model
Substituting the given values in above equation we get
Scale factor
[tex]= \frac{44317.92}{8} \\= 5539.74\\=5540[/tex]
