The table represents a proportional relationship because all the ratios of y to x are equal to 3. (option B)
What is a proportional relationship?Two variables exhibit a proportional relationship if the constant of proportionality remains constant for all the given values in the table.
The equation that is used to represent a proportional relationship is:
y = kx
Where:
k = constant of proportionality
Value of k when x is 1:
3 = k
Value of k when x is 2:
6 = 2k
k = 6 / 2
k = 3
Value of k when x is 3:
9 = 3k
k = 9 / 3
k = 3
Value of k when x is 4:
12 = 4k
k = 12 / 4
k = 3
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Which of the expressions below are equal to x2+2x−15? Select all that apply. A) x2+x−8+x−7 B) (x−3)(x+5) C) x(x+2+15) D) x2+x+x2+x−15
Answer:
A and B
Step-by-step explanation:
x2 + 2x − 15
A) x2 + x − 8 + x − 7
B) (x − 3)(x + 5)
Before a renovation, a movie theater had 112 seats. After the renovation, the theater has 168 seats. What is the approximate
percentage increase of the number of seats in the theater? If necessary, round to the nearest tenth of a percent
OA. 33.3%
ОВ.
50%
OC. 56%
OD. 20%
Hello how to work out this question
Answer:
angle x is 69. angle y is 69 as well
Step-by-step explanation:
Find the range of the following details
whats -8 + 1????????
Answer:
-7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
What is the solution to the system of linear equations?
Answer:
C. (0, 2)
Step-by-step explanation:
The solution to the systems of linear equations is the coordinates of the point (x, y) where both lines of the equations intercept each other on the graph given.
Thus, the lines intercept at the point where when x = 0, y = 2.
Therefore, the solution = (0, 2).
find the value c that will make 9x^2 +30x+c a perfect square trinomial
Answer:
[tex] c = 25[/tex]
Step-by-step explanation:
Given :-
A quadratic equation is given to us.The equation is 9x² + 30x + c .And we need to find out the value of c for which the given trinomial is a perfect square. On looking at the given expression all the terms are having positive signs before them .So we can rewrite it on the basis of ,
Identity :-
[tex]\implies (a+b)^2=a^2+b^2+2ab[/tex]
Let's try to set the equation on this Identity .
The firsr term is 9x² . We can write it as ,
[tex]\implies 9x^2=(3x)^2[/tex]
Hence the middle term here should contain 3 and 2 as their factors. Let's Break the middle term .
[tex]\implies 30x = 2.3x.5 [/tex]
Therefore in order to make the whole expression as perfect square 5² must be replaced by c . The expression would become ,
[tex]\implies 9x^2+30x + 5^2 \\\\\implies (3x)^2+2.3x.5 +5^2\\\\\implies (3x+5)^2[/tex]
Hence the value of c should be 25 .
Help me please?!?!!? I’ll give brainly!
Answer:
its the third one (6-2) x 5
Step-by-step explanation:
(6-2) × 5
Step-by-step explanation:
It's for 5 TIMES the DIFFERENCE of 6 and 2. I hope this helps, have a good day!
The perimeter of rectangle living room is 40 m the living room is 10 m wide what is the length of the living room
Answer:
Width of the room = 5 meters
Step-by-step explanation:
the rectangular living room is calculated as length * width
The area is given to be equal to 40 sq. meters (area = 40 sq. meters)
Let the width = x meters
Length = X+3 meters
Area = Length * Width
40 = X * (X+3)
40 = X^2 + 3X
We solve this quadratic equation
So x = 5 or x= -8
Width cannot be negative, so we reject x =-8
So x = 5 is the answer
Answer:
10
Step-by-step explanation:
i got it right
What is the volume of a cone with a radius of 5 inches and a helght of 12 inches ? (Use 3.14 for pi)
Answer:
Same Class lol
Step-by-step explanation:
Simplify –3V/24 + 5/32 - 7/54 + 8 50.
HURRY ASAP PLEASE!!! WORTH 20 POINTS! YOU WILL ALSO GET BRAINLYEST!
Kristy wants to know what the probability is that a card drawn randomly from a deck will be a club. Her sample space includes all 52 cards in a standard deck. Which of these outcomes compose the event?
Answer:
someone deleted ur ans from y question can you please write it again
thank you.
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
plz help me 5th grade work
Answer:
228 chocolate chips
Step-by-step explanation:
I don't really know the methods you used because I didn't use them in 5th grade. But the answer is 228 chips.
38 + 38 + 38 + 38 + 38 + 38 = 228
Answer:
1. 6x30 = 180
6x8 = 48
180+48 = 228
2. 38 x 6 = 228
HELPPPPPP
Based on the graph below, what are the solutions to the equation f(x) = g(x)? (5 points)
graph of function f of x equals 3 times x minus 1. Graph of function g of x equals x cubed minus 3 times x squared minus 4 times x plus 12
x = −2.4, 1.4, 3.9
x = −2.4, 0.25, 1.4
x = −2, 2, 3
x = −2, 1, 3
Answer:
x = −2.4, 1.4, 3.9
Step-by-step explanation:
i literally just took the test so ik for sure its right:)
The graph of a function f(x) passes through the following points:
(0,2), (1,0),(-1,0)
Which of the following could be f(x)?
O f(x) = - 2x2 + 2
O f(x) = 2x + 2
O f(x) = -27x + 2
O f(x) = - 2x + 2
Answer:
All of the them excluding f(x)=-27x+2
The required function is [tex]f(x)=-2x^2+2[/tex]. Hence, option a is correct.
Important information:
The graph of a function passes through the points (0,2), (1,0) and (-1,0).Quadratic function:The graph has two x-intercepts (1,0) and (-1,0). It means it is a quadratic function and [tex](x-1)[/tex] and [tex](x+1)[/tex] are two factors.
[tex]f(x)=a(x-1)(x+1)[/tex]
[tex]f(x)=a(x^2-1)[/tex] ...(i)
The graph passes through the point (0,2). Substitute [tex]x=0,f(x)=2[/tex] in the above function.
[tex]2=a(0^2-1)[/tex]
[tex]2=-a[/tex]
[tex]-2=a[/tex]
Substitute [tex]a=-2[/tex] in (i).
[tex]f(x)=-2(x^2-1)[/tex]
[tex]f(x)=-2x^2+2[/tex]
Therefore, the correct option is a.
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Write each as a decimal. State whether the decimal is repeating or terminating (1-7)
Write each decimal as a fraction (8-14)
No. 4 and 7 are mixed fractions
Answer:
0.625
0.035
etc.
Step-by-step explanation:
You just have to type the fraction in the calculator
hello i neeed help with my math question 5
Answer:
Add a file to it.
Step-by-step explanation:
We can't see anything.
Find the measure of arc DC ?
"what is the median of the following values 9,9,2,8,11,6,4"
Answer: 8
Step-by-step explanation:
Arrange the data in ascending order, and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
Rearrange 9, 9, 2, 8, 11, 6, 4 in ascending order:
2, 4, 6, 8, 9, 9, 11
The number eight appears to be in the very middle, therefore it is the median.
what is the value of y when
-5= y-7 over 9
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Solve
3x 2 2x 5 1 x
—— —— ——
4 3 6
Answer:
6x/4×10x/3× x/6
5x^3/6
Which expression is equivalent to log 12 x^ 4 sqrt x^ 3 -2 (x+1)^ 5 ?
The equivalent expression of log₁₂(x⁴√x³) - 2(x+1)⁵ is 11/2log₁₂(x) - 2(x+1)⁵
How to determine the equivalent expressionFrom the question, we have the following parameters that can be used in our computation:
log 12 x^ 4 sqrt x^ 3 -2 (x+1)^ 5 ?
Express properly
So, we have the following representation
log₁₂(x⁴√x³) - 2(x+1)⁵
Evaluate the exponent
log₁₂(√x¹¹) - 2(x+1)⁵
Apply the power rule of logarithm
This gives
11/2log₁₂(x) - 2(x+1)⁵
Hence, the equivalent expression is 11/2log₁₂(x) - 2(x+1)⁵
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HELPPP PLEASEEEEE, BRIANLEST WILL BE GIVEN ON CORRECT!
-2a2-4a+16 cuando a=-2
Answer:
0
Step-by-step explanation:
-2 * -2 = 4
4 * 2 = 8
4 * -2 = -8 + 16 = 8
8-8 = 0
Ben has 1/2 cup of sugar he uses of the 1/5 sugar. What fraction of the sugar did Ben uses to make lemonade?
Answer:
3/10
Step-by-step explanation:
i
Answer:
3/10
Step-by-step explanation:
Multiply 1/2 by 5 to reach 5/10 and 1/5 by 2 to reach 2/10. Then subtract 2/10 from 5/10 to achieve the answer 3/10.
Find the volume of the rectangular prism.
Answer:
1 1/2*3 1/2*5= 5 cm^3
Mr kirk has 6 boxes of 20 oranges how many does she have in total
Answer:
120
Step-by-step explanation:
6 x 20 = 120
A factory that makes nails uses 675 inches of metal to make 450 nails. At this rate, how many inches of metal is needed to make 1 nail?
Answer:1.5 inches
Step-by-step explanation:
Find the area of the shaded region.
40 ft
16 ft
14 ft
10 ft
Answer:
Area = 780 ft²
Step-by-step explanation:
Area of the shaded region = area of rectangle A + area of rectangle B
Area of rectangle A = L*W
L = 40 ft
W = 16 ft
Area of rectangle A = 40*16 = 640 ft²
Area of rectangle B = L*W
L = 10 ft
W = 14 ft
Area of rectangle B = 10*14 = 140 ft²
Area of the shaded region = 640 + 140 = 780 ft²
Which equation is part of the same fact family as 5 x 4 =20?