Step-by-step explanation:
[tex] {x}^{2} = \frac{mn + 1}{9} [/tex]
[tex](3x - 1)(3x + 1)[/tex]
[tex]9 {x}^{2} - 1[/tex]
[tex] {x}^{2} = \frac{9 {x}^{2 } - 1 + 1 } {9} [/tex]
[tex] {x}^{2} = \frac{9 {x}^{2} }{9} [/tex]
[tex] {x}^{2} = {x}^{2} [/tex]
So this identity is true.
At a flea market, used computer games are sold at the prices shown in the table below.
Number of Games Price ($)
2 9.00
5 22.50
7 31.50
The proportion relation between the number of games and the price is given by the proportionality constant k = 4.5
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the number of games be represented as x
Let the cost for the total number of games be y
And , the values of x = { 2 , 5 , 7 }
Now , the values of y = { 9.00 , 22.50 , 31.50 }
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
On simplifying , we get
9 = k ( 2 )
Divide by 2 on both sides , we get
k = 4.5
And , 22.50 = k ( 5 )
Divide by 2 on both sides , we get
k = 4.5
Therefore , the proportionality constant is k = 4.5
Hence , the proportion is y = 4.5x
To learn more about proportion click :
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The complete question is :
At a flea market, used computer games are sold at the prices shown in the table below.
Number of Games Price ($)
2 9.00
5 22.50
7 31.50
Do the Number of the games and price form a proportional relationship? choose correct response
1. Yes there is a constant of proportionality of 11.25.
2. Yes there is a constant of proportionality of 4.50.
3. No there is not a constant of proportionality.
4. No the Slope is 4.5
What is the factorization of the trinomial below?
-2x^3-10x^2-12x
Answer: -2x (x+3) (x+2)
Step-by-step explanation:
Answer:
(−2x)(x+2)(x+3)
Step-by-step explanation:
−2x3−10x2−12x
=(−2x)(x+2)(x+3)
Answer:
(−2x)(x+2)(x+3)
HELPP ME!! Ya'll brainly has answers for this question but they're all different answers!! I'm so unsure! One of the offices at the company was being repainted. Riley’s mother challenged him to figure out how many quarts of paint would be needed. The office is 16 ft long and 12 ft wide, and the height of each wall is 10 ft. The office floor, ceiling, and door are not being painted, and there are no windows in this office. The door opening measures 3 ft by 8 ft. One quart of paint covers 2 100 ft . How many quarts of paint are needed to paint the room, if only full quarts can be purchased? Show your work.
Answer:
3.8 quarts
Step-by-step explanation:
What inequality is represented by this graph?
+
1 2
+
g
02
4 5 6
Ox>6
Ox<6
0 x
O XC6
07:26
PLS HELP PLSSSSS PLSSSSSS PLSSSSSSSS PLSSSSSSSSSSSSSS HIRRRYYYYYYYYYYYYYYYYYYYYYYYY
Answer:
74
Step-by-step explanation:
the top two are 5 cm each angled sides and it completely added up to 74
skracanie ułamków
224/100 =
308/100 =
125/1000=
444\1000 =
Answer:
224/100 = 2 24/100
= 2 6/25
308/100 = 3 8/100
= 3 2/25
125/1000 = ⅛
444/1000 = 111/250
Can someone plz help me! Thx!
Answer:
q
Step-by-step explanation:
a
Answer:
Step-by-step explanation:
Need help with all three
Answer:
7. 3000
8. 768
9. 378
Step-by-step explanation:
7. 60×50=3000
8. 48×16=768
9. 21×18=378
The temperature in February was at most 6°F. Use t as your variable.
Answer:
t ≤ 6°F
The temperature(t) was less than or equal to 6°F.
What is the coefficient in the expression 4x + 2
O2
O4
Ox
O+
A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x).
The 2 and + are out since they don't have variables(and the + is just a +).
So 4 and x are left. x is a variable, not a coefficient, so the last(and correct) answer is 4.
---
hope it helps
If the edge length of a cube is 13 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form? (2 points)
Answer:
take side as a
volume of cube=a×a×a
= 13×13×13
(im so sorry if im wrong)
Pls help this is due in 20 min
Answer:
y=100
Step-by-step explanation:
180-50=130
130-30=100
What is the value of x? Round to the nearest tenths place.
Answer:
39^2-15^2=1296
/
put this number in a square root and it will give you=36
×=36
Step-by-step explanation:
hypotenuse minus short side it gives another short side
Find the area.
4 cm
6 cm
6 cm
square centimeters
Answer:
96cm
Step-by-step explanation:
4cm x 4cm x 6cm = 96scm
Please help me solve 8n+2-6n-13=9+2n-13
Answer:
It has no solution, unless there's a specific way it needs to be solved
Step-by-step explanation:
Multi answer inequality! Please help and comment only if you know!
Answer:
-8, 0, and -12
Step-by-step explanation:
Using -7 would get you 8. Using -5 would get you 4
What is the missing reason in steps 7 and 8 of the proof?
Given: ∆ABC with AB = c, BC = a, AC = b
Prove: = =
Statement Reason
1. Draw a line through B that is perpendicular to and label the point of intersection with as D. construction
2. In ∆ABD, BD = c sin A definition of sine in right triangle
3. In ∆CBD, BD = a sin C definition of sine in right triangle
4. c sin A = a sin C Substitution Property of Equality
5. = dividing throughout by sin A
sin C
6. Draw a line through A that is perpendicular to and label the point of intersection with as E. construction
7. In ∆BAE, AE = c sin B
8. In ∆CAE, AE = b sin C
9. c sin B = b sin C Substitution Property of Equality
10. = dividing throughout by sin B
sin C
11. = = Transitive Property of Equality
A.
definition of cosine in right triangle
B.
definition of sine in right triangle
C.
definition of tangent in right triangle
D.
Corresponding sides of congruent triangles are equal.
E.
definition of equilateral triangle
Answer:
Step-by-step explanation:
The answer is option B) def of sine in right triangle
Which of the following numbers makes the inequality -2
A-5
B
-2
C 5
D 6
E
-3
6
Evie's test score is greater than 65, but no more than 90. An inequality that represen
this is
Answer:
opposite word of disperse
H+ ions increase in concentration at lower pH values. Calculate how many more H+ ions there are in a solution at a pH = 2 than in a solution at a pH = 6. Find the concentration of H+ ions at a pH = 2 and at a pH = 6 in Table B. Then divide the concentration of H+ ions at a
pH = 2 by the of H+ ions at a pH = 6. Record your answer in Table C.
What is the concentration of H+ ions at a pH = 2?
mol/L
What is the concentration of H+ ions at a pH = 6?
mol/L
How many more H+ ions are there in a solution at a
pH = 2 than in a solution at a pH = 6?
Answer:
What is the concentration of H+ ions at a pH = 2?
⇒ 0.01 mol/L
What is the concentration of H+ ions at a pH = 6?
⇒ 0.000001 mol/L
How many more H+ ions are there in a solution at a
pH = 2 than in a solution at a pH = 6?
⇒ 10,000
Step-by-step explanation:
Answer:
What is the concentration of H+ ions at a pH = 2?
0.01
What is the concentration of H+ ions at a pH = 6?
0.000001
How many more H+ ions are there in a solution at a
pH = 2 than in a solution at a pH = 6?
10,000
Step-by-step explanation:
It costs $150 to rent a party room at Pizza-n-Games, plus $6 per person for pizza and $5 per person for game tickets. The expression showed gives the total cost for n people.
150+6n+5n
Evaluate the expression to find the cost for a party of 15 people
Answer:
$315
Step-by-step explanation:
the distance between a number and 2 on the number line.
What is the other number and do you have like a picture
Help me please !!!!! I need help
10 percent of 300 is 30
3 hours and 10 minutes =190
What happens to the value of the expression b-1b−1b, minus, 1 as bbb increases?
Answer:
the answer is A It increases.
that's the right answer go add me snap cutegirllove17
Step-by-step explanation:
have a good day
Help pls and thanks :)
(Are the two triangles similar? Explain, step by step, how you know. )
Answer:
The two triangles can be considered similar as Angle A is 70 degrees and Angle B is a congruent angle to Angle A, which can be proven by adding 70 to 110 which shows a 180 degree angle (flat angle). Therefore we know that this triangle is similar
Step-by-step explanation:
PLEASE HELP WILL MARK YOU BRAINLIEST!! HOW DO YOU SOLVE 22 = -11k
Can someone help me please????
Please help me to solve
✓ C
✓ D
✓ E
Answer:
1)Mononaimal polynomial
2)Mononomial polynomial
3)Bionomial polynomial
A rectangle has an area of 56x2y units2. If the height of the rectangle is 7xy. What is the length of the rectangle.
Answer:
8x units
Step-by-step explanation:
A rectangle has an area of 56x²y units². If the height of the rectangle is 7xy. What is the length of the rectangle.
The Area of a Rectangle is calculated with the formula
Length × Width ( Height)
Area = 56x²y square units
Height = 7xy units
Length =Area of the rectangle/Height of the rectangle
= 56x²y square units/7xy units
= 8x units
Bethany bought a box of markers. She gave 6 to her friend. If Bethany now has 52 markers, how many markers were in the box she bought?
Answer:
58 markers
Step-by-step explanation:
52 + 6 = 58
Answer:
58 markers
Step-by-step explanation:
x-6=52 Set up the problem. "x" represents the number of markers.
+6 +6 Add 6 to both sides to isolate x
x =58
The circumference of a circle is m. What is the area , in square meters ? Express your answer in terms of pi
Answer:
area = m²/2π
Step-by-step explanation:
∵ circumference of circle = 2πr = m
∴ r = m/2π
∵ area of circle = πr²
∴ area of circle = (m/2π)² × π = m²/2π² × π = m²/2π
hope this helps