The given statement n² + 1 ≥ 2n is correct for integers n in [1, 4]. The proof uses substitution for each value of n, showing that the inequality holds true for all four cases.
To prove the statement n² + 1 ≥ 2n for integers n in [1, 4], we substitute each value of n and check if the inequality holds true:
1. For n = 1, 1² + 1 = 2 ≥ 2(1) = 2, so the inequality is true.
2. For n = 2, 2² + 1 = 5 ≥ 2(2) = 4, so the inequality is true.
3. For n = 3, 3² + 1 = 10 ≥ 2(3) = 6, so the inequality is true.
4. For n = 4, 4² + 1 = 17 ≥ 2(4) = 8, so the inequality is true.
Since the inequality is true for all n in [1, 4], the statement is proven to be correct.
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Find the value of x and the measure of the angle labeled 3x.
A. x= 14; angle measure is 30°
B. x = 10; angle measure is 42".
C. x = 14; angle measure is 42"
D. x = 10; angle measure is 30°
Answer:
D
Step-by-step explanation:
3x and 30 are vertically opposite angles and congruent, then
3x = 30 ( divide both sides by 3 )
x = 10 , thus
3x = 3 × 10 = 30°
x = 10 ; angle measure is 30° → D
Answer:
the answer is D, x= 10;angle measure is 30°
1 and 1/3 - 5/6
(ill mark when 2 answers)
(have a good day )
(HELP MEH PLZZ)
Answer:
1 1/3 - 5/6 = 1/2
Step-by-step explanation:
First we will need to make a common denominator on both sides, so since we have the second side divided in six, we can do the same to the first side as shown;
1/3 = 2/6
now this will help us a lot, now all we have to do is take what we can out of the fraction (2/6) out of the first side so it is equal to 0, NOTE this is not a professional way to do it but it helps me a lot;
5/6 - 2/6 = 3/6
this makes it easy all of a sudden, cause now its in a simpler form, we can tell this because we know that 3/6 is equal to 1/2, so now all we have to do is take 1/2 from our 1 that we are left over with, and VWOLA;
1 - 1/2 = 1/2
GRAND TOTAL;
1 1/3 - 5/6 = 1/2
(note: the space between the 1 and the 1/3 indicates that they are two separate numbers, so you dont have to put the 'and' there)
solve 2|x+8|-6<16
Please help thanks!
Answer: Inequality form : -19<x>3
interval notation:
(--19,3)
Step-by-step explanation:
PLEASE HELP ME!!!!!!!
Step-by-step explanation:
step 1. triangles ABG and ACF are similar.
step 2. triangle ACF is twice the size of triangle ABG.
step 3. if BG = 8 then CF = 16.
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SHOW THE WORK PLEASEEEE!!!
Answer:
3x^6y^2/8
Step-by-step explanation:
Simplify the expression.
~Hoped this helped~
~Brainly, please?~
Answer:
3x^6y²/8
Step-by-step explanation:
3²·x^4·y³ / 24x^-2·y = 9x^4y²/24x^-2
9x^6·y²/24 = 3x^6y²/8
The expression (2x+2x)+(5x+5x)+(1+1) represents the perimeter of a triangle. Select the answer below which shows this expression in simplest form.
HINT: Simplest form means combined 'like' terms.
100 Points
A
14x + 2
B
16x
C
40x + 2
D
16
Answer:
A) 14x + 2
Step-by-step explanation:
(2x + 2x) + (5x + 5x) + (1 + 1)
= 4x + 10x + 2
= 14x + 2
You can only add 4x and 10x since they both have a variable (x). You cannot add 2 since 2 doesn't have a variable, so the answer in simplest form is 14x + 2
Do not, I repeat DO NOT ANSWER THIS QUESTION!!!! It is experimental, and I need to answer it with my other account, so please DO NOT ANSWER THIS!!!!!!!!!!!!!!!!!!!!!
Answer:
tfgvftydgxchtfg
Step-by-step explanation:
I have only 10 points plus give me the right answer this is the last I’m gonna ask but pls help just answer the blank question
15
I guess so
Hope it is correct
PLZZZZZZZZZ HELPPPPP
Answer:
Step-by-step explanation:
(-3,0)
(0,2)
(6,6)
Mr.Jessup, an airplane pilot, flies 1,450 miles a day. How many miles will he fly in 8 days? Why?
Answer: Mr. Jessup will fly 11,600 miles in 8 days. This is because if he flies 1,450 miles a day, and he flies in 8 days, just multiply 1,450 and 8.
Step-by-step explanation:
The length of a rectangle is five times the width the area is 125 cm² what is the length
Answer:
Length: 25
Step-by-step explanation:
the ratio we use is 5:1
125÷5=25
5 is the width and 25 is the length
to check the answer find the area with those measurements
5x25=125 so its correct
Please help thank you so much
Answer:
b
Just trust me
Step-by-step explanation:
550 + 550 + 650 + 550 + 600 = ?
Answer:
2,900
Step-by-step explanation:
Which polynomial function has a leading coefficient of 1, roots -2 and 7 with multiplicity 1, and root 5 with multiplicity 2?
Answer:
(D)
Step-by-step explanation:
If it has a leading coefficient of 1, then it can not (A) or (B) because they have a two in front of it. Next, we can check the roots -2 and 7. -2 goes with (x+2), while 7 goes with (x-7). Therefore, you can already see that the answer is (D). To make sure. let us check the root 5 with multiplicity of 2. 5 goes with (x-5), implying that there must be 2 (x-5)'s. Only (D) satifies that as well, so the answer must be (D).
Answer:
D on edge
Step-by-step explanation:
what is the geometric mean of 2 and 14
Answer:
8!
Step-by-step explanation:
add them together to get 16 then divide by 2 (the number of numbers you added) and you get 8!
Hope that helps, please mark me brainliest if it does :)
Answer:
Answer is 5.3
Step-by-step explanation:
I hope it's helpful!
A shipping box is in the shape of a rectangular prism. It has a volume of 9,000 in.3, and the dimensions of the base are 20 in. by 30 in. What is the height of the box?
Answer:
A closed box is to be made in the shape of a cuboid of height h (in cm) with a rectangular base that has sides of length x (in cm) and 2x (in cm). Its volume is required to be `1000 cm^3
The height of the shipping box is 15 inches.
What is volume of rectangular prism?The volume of a rectangular prism: length x width x height. The volume is expressed in cubic units.
given:
Volume = 9000 cubic inches
Base dimensions = 20 inches by 30 inches
Now, Volume = Base Area * Height
Height = Volume/Base Area
Height = 9000/(20 * 30)
Height = 15 in
Hence, the height of the shipping box in the shape of a rectangular prism is 15 inches.
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How do I graph y=x-3 and y=-2x+6
Answer:
you can use a graphing calc
Step-by-step explanation:
3. A building stands on level ground. The measure of the angle of elevation of the top of the building, taken at a
point 400 feet from the foot of the building, is 31 degrees. Find, to the nearest tenth of a foot, the height of the
building
Answer:
12,400
Step-by-step explanation:
so what you are going to first is 400 times 31 which is 12,400
Find the volume of a cylinder with height = 10ft and the diameter of the base circle is 12ft.
Answer:
The answer is 1130.97
Step-by-step explanation:
The formula that I used
V=πr2h
Volume = π·62·10 ≈ 1130.97336
Which of the following is the solution to the compound inequality below?
3x +5>_ -1 or - 2x - 7>_5
A. x>_2 or x >_-6
B. X>_-2 or X<_-6
c. x>_5/3 or x<_-7/2
D. x>_-5/3 or x>_7/2
Answer:
The answer of the question is b
in △ABC the measure of angle A is 2x + 3, the measure of angle B is 4x + 2, and the measure of angle C is 2x - 1. what are the measures of the angles?
how many fluid ounces of water does sofia use to make the batch of slime?
Answer:
lo que sea me lo pones en español plis yo te aydo
Step-by-step explanation:
2x +3y = 12
Complete the missing value in the solution to the equation
(__, 8)
Answer:
The two solutions of the equation is (0,-4)(6,0).
please help, this is really important if you could show work that would be amazing :))
Step-by-step explanation:
step 1. x = 70° (alternate interior angles)
step 2. y = 90° (same side interior angles).
Evaluate the expression when a=4 and b=2: 2a + b*
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
start by substituting. 2(4)+2. use the order of operations to solve left to right. 2 x 4 equals 8. 8 plus 2 equals 10. hope this helps
Round 1.983 to the nearest hundredth
Answer:
1.98
Step-by-step explanation:
Find the number in the hundredth place 8 and look one place to the right for the rounding digit 3. Round up if this number is greater than or equal to 5 and round down if it is less than 5.
Please find the solution!!! 4x-3(2x-1)=7x-42
Answer:
x = 5
Step-by-step explanation:
4x - 3(2x - 1) = 7x - 42 ← distribute and simplify left side
4x - 6x + 3 = 7x - 42
- 2x + 3 = 7x - 42 ( subtract 7x from both sides )
- 9x + 3 = - 42 ( subtract 3 from both sides )
- 9x = - 45 ( divide both sides by - 9 )
x = 5
1. A pair of shoes is regularly priced at $52. They are on sale for 15%
off the regular price. What is the sale price of the shoes?
[tex]52 \times 0.15 = 7.8[/tex]
[tex]52 - 7.8 = 44.20[/tex]
The sale price of the shoes is $44.20
Answer:
52*15/100=7.8$ so u will take away 7.8$ from 52$=44.2$ he has to pay.
Write an integer for this situation 5 feet below sea level
Answer:
282 feet below sea level.
Step-by-step explanation:
Which expression has a solution of 27, if r = 3?
Answer:
rx9
Step-by-step explanation:
9x3=27
Answer:
9r = 27
Step-by-step explanation:
Have a great day <3