The correct factorization for [tex]\(4x^2 - 50\) is \(2(x\sqrt{2} - 5)(x\sqrt{2} + 5)\)[/tex], where [tex]\(\sqrt{2}\)[/tex] is included in each term.
The given quadratic expression [tex]\(4x^2 - 50\)[/tex] can be factored using the difference of squares method.
The difference of squares formula is[tex]\(a^2 - b^2 = (a + b)(a - b)\).[/tex]
In this case, a = 2x and [tex]\(b = \sqrt{50}\).[/tex]
1. Identify the expression as a difference of squares: [tex]\(4x^2 - 50 = (2x)^2 - (\sqrt{50})^2\).[/tex]
2. Apply the difference of squares formula:[tex]\(4x^2 - 50 = (2x + \sqrt{50})(2x - \sqrt{50})\).[/tex]
3. Further simplify by factoring out 2: [tex]\(4x^2 - 50 = 2(2x + \sqrt{50})(2x - \sqrt{50})\).[/tex]
The correct factorization for [tex]\(4x^2 - 50\) is \(2(x\sqrt{2} - 5)(x\sqrt{2} + 5)\)[/tex], where [tex]\(\sqrt{2}\)[/tex] is included in each term.
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Find each value. Use a calculator if needed.
ORDER MATTERS!
a) P(12, 5)
= A. 60 B. 248,832 C. 95,040 D. 300
b) P(8, 8)
= A. 64 B. 40,320 C. 30,555 D. 16
sinθ=1/4, 0<θ<90; cosθ
Find two numbers, if Their sum is 3/5 and their difference is 7 1/5
Answer:
3.9 and -3.3
Step-by-step explanation:
The smallest angle in a triangle is 1/5 as large as the largest angle. The third angle is twice the smallest angle. Find the three angles.
Answer:
x + 5x + 2x = 180
8x = 180
x = 22.5 degrees ( smallest angle), Largest Angle = 112.5 degrees and the third angle = 45 degrees
Let's call the smallest angle x. Then the largest angle is 5x and then the third angle is 2x since it is twice the smallest angle. We know that the sum of all the angles in a triangle is 180 degrees.
Step-by-step explanation:
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max has 2/3 lb. of chocolate. He wants to hand out the chocolate in packages to give to his friends he would like to put 1/6 lb. of chocolate. How many packages can Max make? solve with a visual model
Mr. Harrow has eight boys and six girls in his Honors Precalculus class. If he randomly chooses two students, one at a time, what is the probability that they are both girls
translation rule to describe the translation of x that is 3 units to the left and 4 units up
24r3-64r2-21r+56 answer
There is only one granola bar left out of a pan of 10 bars. If will and Rachel decide to split the last granola bar, what fraction of the entire pan of granola bars will each friend receive?
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For what value of x is the square of the binomial x+1 twenty greater than the square of the binomial x–3?
Answer:
x=3.5 they did nothing wrong but I am pretty sure you meant not twenty but one hundred and twenty for that the answer is x=16
Step-by-step explanation:
A rectangle is dilated by a scale factor of 4.
a) The original rectangle is 8 cm by 3 cm. What are the dimensions of the new rectangle?
b) Is the new image a reduction or enlargement? Explain.
HELP PLEASE
Create a 5th degree polynomial with four terms in standard form
What is the rule for this pattern of numbers?
Some amount of billiard balls were arranged in an equilateral triangle. And 13 balls were extra. When the same set of billiard balls were arranged into triangle in which each side has one more ball than in the first arrangement there were 7 balls shortage. How many balls were at the set?
Please help if you absolutly know the answer!!!!!!!!!!!
Which of the expressions below can be factor using the difference of squares method
It's 3/5 of the wall is made from brick how do you determine the height of the brick proportion of the wall
To find the height of the brick proportion of a wall, multiply the total wall height by the fraction representing the brick portion. For instance, if the wall is 220 cm high and 3/5 is brick, the brick portion's height would be 132 cm.
To determine the height of the brick proportion of the wall, you would need to know the total height of the wall first. Once you have the total height, you can calculate the height of the brick section by multiplying the total height by the fraction of the wall that is brick. For example, if 3/5 of the wall is made from brick, and the wall is 220 cm high, the calculation would be as follows:
Height of brick portion = Total height of the wall × Fraction of wall that is brick
Height of brick portion = 220 cm × (3/5) = 132 cm
Therefore, the height of the brick proportion of the wall would be 132 cm.
A patio has an area of 432 square feet the width of the patio is 3/4 its length what is the length
Find |p|.....................
1.find the slope between these 2 points:(5,-5) and(3,-5)
2.find the slope between these two points:(2,3)and (4,5)
3.find the slope between the two points (-5,5)and (3,-5)
4.find the slope between these two points (9,9) and (12,15)
Final answer:
To find the slope between two points, use the formula m = (Y2 - Y1) / (X2 - X1) where (X1, Y1) and (X2, Y2) are the coordinates of the two points. The slopes for the given point sets are: 0, 1, -5/4, and 2.
Explanation:
To find the slope between two points, we can use the formula:
m = (Y2 - Y1) / (X2 - X1)
where (X1, Y1) and (X2, Y2) are the coordinates of the two points.
For the first set of points (5, -5) and (3, -5), the slope is:
m = (-5 - (-5)) / (3 - 5) = 0 / -2 = 0
For the second set of points (2, 3) and (4, 5), the slope is:
m = (5 - 3) / (4 - 2) = 2 / 2 = 1
For the third set of points (-5, 5) and (3, -5), the slope is:
m = (-5 - 5) / (3 - (-5)) = -10 / 8 = -5/4
For the fourth set of points (9, 9) and (12, 15), the slope is:
m = (15 - 9) / (12 - 9) = 6 / 3 = 2
If the sum of six consecutive even integers is 354 what is the smallest of the six integers
Simplify: 4w(to the power of 9)+(-2w(to the power of 9)) enter the original expression if it cannot be simplified
A local park rents cabins for people who want to vacation by the forest. The fee for the rental is $27 per night.There is also $55 cleaning and maintenance charge that is added to the total bill.
Define variables for the number of days that a cabin is rented and the cost of the rental. Use the variables to write an equation that represents the cost to the rent the cabin,given the number of days that the cabin is rented.
Please answer as quickly as possible this is URGENT
What is the mean absolute deviation for the set of data below?
2, 8, 10, 16
Solution: We are given below data:
[tex] 2, 8, 10, 16 [/tex]
Now to find the mean deviation, we use the below formula:
[tex] MD= \frac{\sum|X-\bar{X}|}{N} [/tex]
Where:
[tex] \sum, [/tex] represents the summation
X, represents the observation.
[tex] \bar{X}, [/tex] represents the mean
N represents the number of observation.
[tex] \bar{X}= \frac{\sum{X}}{N}= \frac{2+8+10+16}{4}=9 [/tex]
[tex] \sum |X-\bar{X}| = |2-9| + |8-9| +|10-9| +|16-9|=7+1+1+7=16 [/tex]
Therefore, the mean deviation is:
[tex] MD= \frac{16}{4} [/tex]
= 4
Answer:
4 \
Step-by-step explanation:
By the Triangle Inequality Theorem, if two sides of a triangle have lengths of 6 and 13, what are the possible lengths of the third side?
In this exercise we have to use the knowledge of triangles to calculate the value of the third side, so we have:
[tex]7
organizing the information given in the statement we find that:
a=6 b=13 c=xRecognition of the Pythagorean theorem we have that will be:
[tex]c
See more about triangles at brainly.com/question/25813512
28 is 12 less than k
the value of k is 40.
to solve for k when 28 is 12 less than k, we set up an equation and then solve it.
Let's denote k as the unknown number. According to the problem, 28 is 12 less than k, which can be written as:
28 = k - 12
To solve for k, we need to isolate k on one side of the equation.
28 = k -12
28 + 12 = k
40 = k
k = 40
So, the value of k is 40.
The complete question is:
28 is 12 less than k. 28=12-k Solve for k.
A bakery makes 640 muffins everyday. which equation shows how to find the number of muffins the bakery makes in a week?
a bowl of soup holds 7 ounces. If a spoonful holds 1/6 ounce, how many spoonfuls are in 3 bowls of soup? Tell the operation and explain how you got your answer
The average of 25, 29, and x is 29. Find x.
29 * 3 = 87
25 +29 = 54
x = 87 - 54 = 33
x = 33
"What is the value of-3|15-s|+2^3 when s-=3"?
the length of a rectangular foam packing block is 9 in the width is 3 and 1/4 in and the height is 2/3 of an inch what is the volume of the foam block
The volume of a rectangle is the product of it length, width and height, the volume of the rectangle in this example is 19 1/2 cubic inched
Volume of RectangleGiven Data
Length of block = 9 inches
Width of block = 3 1/4 inches = 13/4 inches
Height of block = 2/3 of an inches
We know that the expression for volume of rectangle is given as
Volume = Length * With * Height
Substituting our given data we have
Volume = 9* 13/4 * 2/3
Volume = 9*13*2/1*4*3
Volume = 234/12
Volume = 19 1/2 cubic inches
Learn more about rectangle here:
https://brainly.com/question/25292087