The formula for the given inverse proportion is:
y = 1/x
How to get the formula of the inverse proportion?
The general formula of an inverse proportion is written as:
y = k/x
Where k is the constant of proportionality.
In this case, we know that the point (8, 0.125) belongs to the graph, then replacing these values on the general formula we get:
0.125 = k/8
Solving for k we get:
0.125*8 = k = 1
Then the inverse proportion is:
y = 1/x
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How to solve by completing the square??
x^2 +8x=33
We are given the equation x² + 8x = 33, and we need to solve it from completing the square, for which we will be following the below steps
Step 1 :- First, notice, what's the coefficient of x², if it's 1, then proceed to step 2, if not then divide both sides by the coefficient of x²
[tex]{:\implies \quad \sf x^{2}+8x=33}[/tex]
Step 2 :- Here, we need to develop a whole square in both sides somehow, so we have the coefficient of x, so add the square of half of coefficient of x on both sides :
[tex]{:\implies \quad \sf x^{2}+8x+{\bigg(\dfrac82\bigg)}^{2}=33+{\bigg(\dfrac82\bigg)}^{2}}[/tex]
Simplify both sides now :
[tex]{:\implies \quad \sf x^{2}+8x+(4)^{2}=33+(4)^{2}}[/tex]
Step 3 :- So now, here LHS is in the form of a² + 2ab + b², so we can just replace it by (a + b)², and we will keep simplifying RHS
[tex]{:\implies \quad \sf (x+4)^{2}=33+16}[/tex]
[tex]{:\implies \quad \sf (x+4)^{2}=49}[/tex]
[tex]{:\implies \quad \sf (x+4)^{2}=(\pm 7)^{2}}[/tex]
Step 4 :- As, power on both sides is 2, so we can just equate the bases
[tex]{:\implies \quad \sf x+4=\pm 7}[/tex]
Step 5 :- Equating x + 4 to 7, will yield x = 3, and equating it to -7, will yield x = -11, so we are now left with
[tex]{:\implies \quad \boxed{\bf{x=-11,3}}}[/tex]
What is the surface area of the square pyramid? 30 m 18 m ות 36
Answer:
the answer is 5100 im pretty sure.
Step-by-step explanation:
yes
Which algebraic rule describes the translation of ΔDEF to ΔD'E'F'?
we subtracted 4 from the x value
we subtracted 7 from the y value
Answer:
(x,y) => (x-4,y-7)
Joel is selling a motorcycle for $2,535. He bought the
motorcycle two years ago and paid $4,721 for it. It depreciated
35% during the two years. Is he losing money or making money
on this sale?
18. Willa is buying flowers for a large garden project. She plans
Answer:
Joel is losing money.
Step-by-step explanation:
4,721-35%=?
First, convert the percentage into a decimal.
35%=35/100=.35
Then multiply 4721 by .35 which is 1652.35
At last, subtract 4,721 by 1652.35= 3068.65
Decide which other to give him prices is better and explain why. Storage locker A rents for $32/yd2 per month. Storage locker B rents for $1.58/ ft2 per week. Assume 1 month = 4 weeks. Which one is better and why.
Answer:
Locker B
Step-by-step explanation:
When you divide 32 by 3 you get 10.667. Then when you divide that by 4 you get $2.667/ft2 per week.
investigue sobre 6sistemas diferentes
Answer:
this is broken english
Step-by-step explanation:
ok ok
What is the value of x?
Answer:
x=20
Step-by-step explanation:
These vertically opposite angles are equal
3x+50=6x-10
50+10=6x-3x
3x=60
x=20
Step-by-step explanation:
3x+50=6x-10(vertically opp angles)
3x-6x=-10-50
-3x=-60
Divide both side by - 3
X=20
If two cars hit head on at 50 mph what is the force of the impact?
Answer:
100mph
Step-by-step explanation:
A student’s height was 61 inches at the beginning of the year. At the end of the year it was 64 inches. What was his percent increase? Round to the nearest tenth of a percent.
Answer:
4.9% increase
Step-by-step explanation:
Starts at 61 inches
Ends at 64 inches
64 - 61 = 3 inches increase
percent of 3 to 61
3 / 61
≈ 0.49
= 4.9%
Pls helpppp thankssss
Answer:
D
Step-by-step explanation:
y=5x-2 since the formula is. y=mx+c
The Davis family purchased a house last year. They put $20,000 towards a down payment and took out a $265,000 mortgage. Because it was a new home, all the repairs and maintenance were covered under the builder’s warranty, but the Davises want to budget this coming year for unexpected expenses. When estimating costs for home repair and maintenance, a good estimate is to budget 1% of the purchase price of a house. What would be a good yearly estimate of repairs and maintenance for the Davis family’s home? a. $28,500 b. $2,650 c. $2,850 d. $200
Answer:
2,850
Step-by-step explanation:
I'm not very good with percentages, so this may be incorrect, but 1 ℅ of the total purchase price would be 2850 because 1 ℅ is essential 0.01 x 285,000. 285,000 would be adding the down-payment to the mortgage.
hope this helps
Mr. Ketchum collets Pokémon cards. He purchases a rare charizard Pokémon card for $525. Research shows this card value will increase by 3.5% each year. Write an equation that determines the value,v,of the card t years after purchase
Answer:
18.37500
Step-by-step explanation:
Here You Go! Hope It Helps Bud
HELP!! ASAPP!! (NO LINKS) WILL MARK BRAINLIEST
Identify the trinomial that is NOT a perfect square.
A. 121x^2 + 100x + 25
B. 100x^2 + 60x + 9
C. 25x^2 + 70x + 49
D. 64x^2 + 48x + 9
ANSWER: C. 25x^2 + 70x + 49
Hope for help po
8 over 10 devided by 1 over4
anyone? giving brainliest
What is the value of x in the triangle?
45°
4
х
45°
OA. 4
B. 2
OC. 412
OD. 212
Answer:
D
Step-by-step explanation:
use the sine or cosine ratio in the right triangle.
using the sine ratio and the exact value
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = 4[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
x = 2[tex]\sqrt{2}[/tex]
The value of x is 2√2.
Hence the correct option is D.
Given that a right triangle with acute angles 45° each, and hypotenuse is 4 units,
we need to find the length of the perpendicular,
In a right triangle, the length of the perpendicular (also known as the altitude) can be found using trigonometric ratios.
In this case, since we have an angle of 45°, we can use the sine or cosine function.
Let's use the sine function to find the length of the perpendicular:
sin(45°) = opposite / hypotenuse
sin(45°) = perpendicular / 4
1/√2 = perpendicular / 4
perpendicular = 4/√2
perpendicular = 2√2
Hence the value of x is 2√2.
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Given y = 2x2 - 5x - 9, what is the value of y when x = 2?
Answer:
Step-by-step explanation:
y = 2(2)2 - 5(2) - 9
= 8 - 10 - 9
= -11.
what is the 41st term of 8,17,26
Answer:
368Step-by-step explanation:
We can see that 9 is being added to each term.
Thus, we obtain the following rule:
8 + 9(x - 1)To make this easier, let's simplify the rule.
⇒ 8 + 9(x - 1)⇒ 8 + 9x - 9⇒ 9(x) - 1Substitute 41 as "x" to obtain the 41st term:
⇒ 9(41) - 1⇒ 368The value of 41st term of sequence 8, 17, 26 is,
⇒ 368
What is Arithmetic sequence?An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.
Given that;
The sequence is,
⇒ 8, 17, 26.
Now, The common difference is,
⇒ d = 17 - 8 = 9
⇒ d = 26 - 17 = 9
Thus, The sequence is in arithmetic.
Hence, The value of 41st term of sequence 8, 17, 26 is,
⇒ a + (n - 1)d
⇒ 8 + (41 - 1) 9
⇒ 8 + 369 - 9
⇒ 8 + 360
⇒ 368
Thus, The value of 41st term of sequence 8, 17, 26 is,
⇒ 368
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a. y=-2x +10, y=-**
y,
5. y=-3x+10, y=-2x
c. y=
y=-*x+10,
-x+10, y=-2x
y=-2x+10, y=-*
c.
х
Answer:
C
Step-by-step explanation:
find the plot and interpret the point in the equation
how much should i invest today at 11.99% interest compounded quarterly if i want $100000.00 in 10 years
Which type of function best models the data in the
table?
Sound Waves
Wavelength, *
© linear
exponential
o quadratic
inverse variation
Frequenc
(waves
680
0.5
1
340
227
15
DONE
2
170
25
136
Answer:
inverse variation
Step-by-step explanation:
Find the area of the parallelogram 9.9in 5.5in
Answer:
54.45 in²
Step-by-step explanation:Let the base and height be 9.9 inches and 5.5 inches respectively.
Formula;
Area of parallelogram = Base × Height
Substitute the base and the height in the formula:
⇒ Area of parallelogram = Base × Height⇒ Area of parallelogram = 9.9 × 5.5Evaluate the area of the parallelogram:
⇒ Area of parallelogram = 9.9 in × 5.5 in⇒ Area of parallelogram = 54.45 in²Answer:
54.45 in²
Step-by-step explanation:
Formula
Area of a parallelogram = base × height
If you turn the parallelogram so that the sides that measure 9.9in are the base, you will see that 5.5in is the height (refer to the attached diagram). Therefore, we can use the formula with these values to calculate the area.
Given:
base = 9.9 inheight - 5.5 in⇒ area = 9.9 × 5.5 = 54.45 in²
I am having trouble with this problem
Answer:
b=330.90 and c=314.97
Step-by-step explanation:
b=245×sin71.2/sin44.5. c=245×sin64.3/sin44.5. you get the 64.3 by subtracting 180_(71.2+44.5)
GUYS HELP ASAP
CHECK THE ATTACHED PHOTO
Answer:
As they triangles are congruent, we can say that, angle A = angle O
So, angle A = 105+25 =130
A = 180 - 130 = 50° all angles in a triangle add up to 180)
Soo 50° is the answer,
I'm not too sure about it but I think this is correct, hope this helps, correct me if I'm wrong....
what digit 7 sits in this number 714,583
Answer:
The hundred thousands place
Step-by-step explanation:
Answer:
The hundred thoudsands place; (700,000)
Step-by-step explanation:
The places of the number are listed below:
Hundred Thousands - 700,000
Ten Thousands - 10000
Thousands - 4000
Hundreds - 500
Tens - 80
Ones - 3
The digit 7 is in the hundred thoudsands place.
hope this helps!
9-18.
Thui wrote the following inequalities for a problem that she was solving: 2n-1<5 or 2n-1 > -5. Which of the following statements is
true? Homework Help
a. n >-3 or n <3
b. n 2-2 or n <3
C. > -3 or n <3
d. n > -2 or n <3
Answer:
D is the correct answer
Step-by-step explanation:
2n-1<5= n<3
2n-1>-5= n>-2
Hassan build a fence around a square yard it took 48 m² of lumber to build a fence the fence is 1.5 m tall what is the area of the yard inside the fence
What is the distance between points (-6, -7) and (-1,5) on the coordinate plane?
Answer:
The answer is C. 13
Step-by-step explanation:
What is the horizontal difference between (4, 8) and (-2, 2)?
Answer:
6 units
Step-by-step explanation:
the horizontal difference is the distance between the x values of both points. we know the distance between 4 and -2 is 6.
can i have some help? subject is stretching and reflecting quadratic functions
Answer:
(5,5)
(-3,-15)
(6,-12)
(-2,8)
Step-by-step explanation:
Multiply the value of "a" with the coordinates.
#1
(1,1) and a=5y=ax²
y=5(1)²y=5Coordinates (1,5)
#2
(5,25) and a=-0.6So
y=-0.6(5)²y=-0.6(25)y=-15Coordinates (5,-15)
#3
(-2,4) and a=-3So
y=-3(-2)²y=-3(4)y=-12Coordinates (-2,-12)
#4
(-4,16) and a=1/2So
y=1/2(-4)²y=16/2y=8Coordinates (-4,8)