Answer:
Step-by-step explanation:
Explanation:
Use the extended form of the perfect square trinomial identity:
a4 + 2a2b2 + b4 = (a2 + b2)2.
a2 = x2 and b2 = 32
x4 + 18x2 + 81 = (x2)2 + (2)(x2)(32) + (32)2
= (x2)2 + 2(32)x2 + (32)2
= (x2 + 32)2
= (x2 + 9)2
The missing terms are (x²)² + 2(9)x² + (3²)² and (x² + 9)² after factorization of the polynomial.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a polynomial:
= x⁴ + 18x² + 81
Let u = x²
[tex]\rm =u^2+18u+81[/tex]
or
= (x²)² + 2(9)x² + (3²)²
= (u + 9)²
= (x² + 9)² or
= (x² + 9)(x² + 9)
Thus, the missing terms are (x²)² + 2(9)x² + (3²)² and (x² + 9)² after factorization of the polynomial.
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8 x 10^4 is how many times as large as 4 x 10^-5
Answer:
2 x 10^9
Step-by-step explanation:
There 8 × 10⁴ would be 10⁹ times as large as 4 × 10⁻⁵ which is determined by the division operation.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.
For example 4/2 = 2
We have to determine 8 × 10⁴ is how many times as large as 4 × 10⁻⁵
Apply the division operation to get
⇒ 8 × 10⁴ ÷ 4 × 10⁻⁵
⇒ (8 × 10⁴) / (4 × 10⁻⁵)
Reduce the term of the numerator
⇒ ( 10⁴) / (10⁻⁵)
⇒ ( 10⁴) × (10⁵)
⇒ ( 10⁴⁺⁵)
⇒ 10⁹
Hence, there 8 × 10⁴ would be 10⁹ times as large as 4 × 10⁻⁵ which is determined by the division operation.
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if f(x)=2x^2-5
and
g(x)=5x+7
find
g(f(x))=___x^2+___
Answer:
work shown and attached
Need help!!! Please!!
Answer:
[tex]\huge\boxed{\text{(A)}\ 0.36}[/tex]
Step-by-step explanation:
This sequence will have a pattern. Our goal is to try and find this pattern.
Our first two numbers are -45 and 9. The first relationship between these numbers that pops into my mind is 5. [tex]9 \cdot 5 = 45[/tex]. However, we go from -45 to 9. This means we have to divide by -5. [tex]-45 \div -5 = 9[/tex]
Let's check this actually is what the sequence is. It would be true if [tex]9 \div -5 = -1.8[/tex].
[tex]9 \div -5 = -1.8[/tex]
So -5 is the divisor.
To find the next term in the sequence, we divide -1.8 by -5.
[tex]-1.8 \div -5 = 0.36[/tex]
Hope this helped!
"the product of a number and 4"
Answer:
X * 4
Product means the answer after multiplying the factors.
3^2– 2-3 + x = (33 – 3.8) (2) + x
Given the equation: y=(x-1)(x+3). what are the x-intercepts? *
Answer:(
(1,0),(-3,0)
Step-by-step explanation:
Kristin and her family left their campsite to take a bike ride. They biked 5 miles west and then 12 miles north. How far are they from their campsite? Round to the nearest 10th if necessary.
Answer:
they are 17 miles away from their campsite.
Step-by-step explanation:
we get the answer by adding the miles traveled north to the miles traveled west, and we get the total number of miles they traveled away from their campsite.
5 + 12 = 17
What’s the answer for the problems 11-15 in the picture
Answer:
11.
A) EZ Pay Plan=0.15x
B) 40 to Go Plan=0.05x+40
12.
0.15x=0.05x+40
13.
x=400 minutes
14. The solution is the amount of minutes that it takes for both plans to cost the same amount. X has one solution, so it accounts for both equations.
15. EZ Pay Plan
Step-by-step explanation:
For 11, what you need to know is that the slope (coefficient of x) is the price per minute. 0.15 per minute and 0.05 per minute are charged, and therefore are the slope for those equations. The 40 on B is because it is the y intercept. No matter how long you use the object, you will always pay at least 40 dollars.
For 12, you have to find x for the minutes used.
For 13, if you do the process algebraically,
0.15x=0.05x+40
0.10x=40 (subtracted 0.05x from both sides)
x=400 (divided 0.10x and 40 by 0.10)
For 14, (no explanation)
For 15, if you substitute 200 as x, you would see that the EZ Pay Plan would make you pay 30 dollars while the 40 To Go Plan would make you pay 10+40 dollars, which 30<50.
(sorry for late response)
Which equation would you use to find x?
Solve x2+8x-10=0 by completing the square. What are the solutions? *answer choices are in the picture
Answer:
Last option
Step-by-step explanation:
Step 1: Write out equation
x² + 8x - 10 = 0
Step 2: Add 10 to both sides
x² + 8x = 10
Step 3: Complete the Square
x² + 8x + 16 = 10 + 16
(x + 4)² = 26
Step 4: Square root both sides
x + 4 = ±√26
Step 5: Subtract 4 on both sides
x = -4 ± √26
Find the midpoint of the segment with the given endpoints.
(8,7) and (-6,9)
Which describes the graph of y= -x^2 +4
Answer:
0,4
Step-by-step explanation:
Answer:
a ‘V’ shaped graph with vertex at (2, 4), which opens up
i did the test it's rightt
Step-by-step explanation:
Find the value of the following:|-15|.
Answer:
The answer is 15 because that absolute value for anything is 15. No matter what number
Step-by-step explanation:
27x^0y^-2 for x=4 and y=3
Answer:
A3=44 56-7
Step-by-step explanation:
Can a ray be bisected?
Such a ray that divides an angle into two equal angles is called an angle bisector.
Likewise, two rays that divide an angle into three congruent angles are called angle trisectors. Figure %:
An angle bisected and trisected On the left, angle ABC is bisected by the ray BD.
Credits to google.
In short, no.
Name a pair of complementary angles (there may be more than one pair).
<1 and <5
<1 and 2
<2 and <4
<3 and <4
<5 and <4
Answer:
∠3 and ∠4
Step-by-step explanation:
In this diagram, angles 3 and 4 are the only pair whose sum is 90°.
In this given figure, [tex]\angle{3}[/tex] and [tex]\angle{4}[/tex] are the only pairs of angles that have the measure of 90°.
So,[tex]\angle{3}[/tex] & [tex]\angle{4}[/tex] are the pair of angles.
▬▬▬▬▬▬▬▬▬▬▬▬Plz I need it now I am stuck
Answer:
116
Step-by-step explanation:
PLEASE HELP I WILL MARK YOU BRAINLIEST
Answer:
The correct answer is A. The base of the rectangular prism must be 12 units because the height is 2 units, and 2 multiplied by 12 is 24, which is the total volume of the prism.
Select all the pairs of equivalent expressions.
(43)3 and 43.43
(34)4 and 38. 38
64.34 and 188
43. 53 and 203
(43)3 and 43.43.43
Helpppp hurryyyg
Answer:
I know that the 4th and 5th equation are correct but I still need to figure out the others but these are what I got hope it helps?
Step-by-step explanation:
What is the slope of the equation: x = -2
Answer:
undefined
Step-by-step explanation
it is a vertical line and has no defined slope
Write the equation g(x) of the transformation of the parent graph f(x) = |x| stretched horizontally by a factor of 3.
Answer:
g(x) = |1/3x|
Step-by-step explanation:
f(x) = |x|
y = f(Cx) 0 < C < 1 stretches it in the x-direction
g(x) = |1/3x|
We can start with: f(x) = |x|
0 < c < 1 means x-direction stretch
y = f(cx)
3 unit horizontal stretch
After: g(x) = |1/3x|
Best of Luck!
Savannah can run 1/2 mile in 300 seconds. What is
Savannah's unit rate?
10 mile per minute
2 1/2 mile per minutes
2/5 mile per minutes
1/10 mile per minute
The required unit rate of the Savannah run is given as 1/10 mile per minute. Option D is correct.
What is the unit rate?A unit rate is a rate in which the second term is 1. In other words, a unit rate is a rate that compares two quantities, with the second quantity being expressed as 1. Unit rates are often used to express a rate per unit of measurements, such as price per item, speed per hour, or cost per pound.
here,
As given in the question Savannah can run 1/2 mile in 300 seconds to evaluate the unit rate we must convert the time given second in minutes by dividing it by 60,
300 seconds = 300/60 = 5 minutes
Now,
Unit rate = 1/2 mile: 5 minutes
Unite rate = 1/10 mile per minute
Thus, the required unit rate of the Savannah run is given as 1/10 mile per minute. Option D is correct.
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please help me out ! I am stuck
Answer:
5x =324
Step-by-step explanation:
[tex]5x \div 9 =36\\\\5x = 36\times 9\\\\5x = 324[/tex]
pls help me with thu question
Answer:
u r girl
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The ceiling in Mitchell’s bedroom measures 12 feet by 10 feet 11 inches. What’s the total area of the ceiling in square inches?
Answer: 12x10x11 I think so 1320
Step-by-step explanation:
Vivian's sales territory produced $1.8
million in sales during the year. How
much does she earn if she has a base
salary of $50,000 plus 3% on sales over
$1.5 million?
a.)
$60,000
b.)
$59,500
c.)
$59,000
d.)
$58,500
.666 repeating as a fraction
please use equation
Answer:
2/3
Step-by-step explanation:
6/9 divide three on the numerator and denominator
It will give you 2/3
to check if its right
divide 2 with 3 and you will 0.666 repeating.
Answer:
did you post anything on this I see nothing?
1 is subtracted from a number
Three girls-- Kali, Annie, and Xiaoling -- go on a trip with their youth orchestra. The three girls share the cost of the hotel. The bill comes to $295.48. It includes $13.25 for some food that Annie orders and $14.00 for cleaning Xiaoling's uniform. What is the dollar amount of each girl's share of the hotel bill?
Answer:
About $107.57
Step-by-step explanation:
if you add up the bill cost and the 13.25 for the food and 14.00 for cleaning Xialing's uniform its $322.73 divide that between the 3 girls and you get about 107.57
Each girl would pay Kali = $89.41
Annie = $102.66
Xiaoling = $103.41
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
Foe example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Total bill amount = $295.48
Now, the amount excluding the amount of food ordered by Annie
= 295.48 - 13.25
= $282.23
and, the amount excluding Cleaning amount
= 282. 23 - 14
= $268.23
So, Each Girl would pay
Kali = $ 268.23 / 3 = $89.41
Annie = 89.41 + 13.25 = $102.66
Xiaoling = 89.41 + 14 = $103.41
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