Among all the given equations 6(x+3)+x=7x+9+9 is having many solutions.
Given Equations :
6(x+3)+x=7x+2+1
6(x+3)+3=7x+5
6(x+3)+x=6x+3+15
6(x+3)+x=7x+9+9
We have to find the equation having many solutions.
The equation whose both sides are equal to each other is supposed to have many solutions. For determining all equations needs to be solved.
Equation 1
6(x+3)+x=7x+2+1
6x+18=7x+3
No the above equation is not having many solutions.
Equation 2
6(x+3)+3=7x+5
6x+18+3=7x+5
6x+21=7x+5
No the above equation is not having many solutions.
Equation 3
6(x+3)+x=6x+3+15
6x+18+x=6x+18
7x+18=6x+18
No the above equation is not having many solutions.
Equation 4
6(x+3)+x=7x+9+9
6x+18+x=7x+18
7x+18=7x+18
Yes the above equation is having many solutions.
Hence the equation which is having many solutions is 6(x+3)+x=7x+9+9.
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The options given in the question are wrong and the correct options are as under:
1) 6(x+3)+x=7x+2+1
2)6(x+3)+x=7x+5
3)6(x+3)+x=6x+3+15
4) 6(x+3)+x=7x+9+9
Whats the correct answer answer asap for brainlist
Answer:
Spain
Step-by-step explanation:
Pablo Picasso was born in Malaga, Spain.
Answer:
Málaga, Spain
Step-by-step explanation:
For a population with μ = 165 , z-score =2.46, and data value = 206. Find the standard deviation σ . Round your answer to the nearest hundredths place.
Answer:
The standard deviation is 16.67
================
GivenMean μ = 165 , z - score z = 2.46, Data value x = 206.To findThe standard deviation σ.SolutionUse z-score formula to find the missing value:
z = (x - μ )/σ ⇒ σ = (x - μ)/zSubstitute values into equation and find the standard deviation:
σ = (206 - 165)/2.46 = 16.67 (rounded).A glass aquarium with the dimensions shown has a mass of 5 kg when empty what is the mass of the aquarium when it is half full of water I will give you king thing if you answer good
The required mass of aquarium when it is half full of water is 10 kg.
Mass of the aquarium = 5kg
Length = 25 cm, width = 20 cm and height = 10 cm(when half filled)
Volume, is defined as the ratio of the mass of object to its density.
Since, density of the water = 1000 Kg/m³
Now Mass of the water = Volume x density
= 25/100 x 20/100 x 10/100 x 1000
= 0.005 x 1000
= 5 kg
Now, the total mass of the aquarium when half filed by water.
= mass of water + mass of aquarium
= 5 + 5
= 10 kg
Thus, the required mass of aquarium when it is half full of water is 10 kg.
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In the graph of f(x) = 9(x) is shifted 7 units down,then what would be te equation of the new graph?
Answer: [tex]g(x)=9x-7[/tex]
Step-by-step explanation:
See the attached image.
The length of a rectangle is 8 inches and the width is x inches. What is the perimeter, in inches?
A. 16+ 2x
B. 10+2x
C. 16+ x
D. 10+ x
Suppose you invest $130 a month for 6 years into an account earning 7% compounded monthly. After 6 years, you leave the money, without making additional deposits, in the account for another 21 years. How much will you have in the end?
In rhombus ABCD below, AC=30 cm and BD=18 cm. Find the area of the rhombus .I will give brainliest for the best and correct answer.
evaluate 2/6.341+3/9.222
The evaluation of the given improper fraction is 0.64071.
How do we evaluate fractions?We can evaluate improper fractions by simply determining the L.C.M of the denominators and equating it to the numerators.
Given that:
[tex]=\mathbf{\dfrac{2}{6.341} +\dfrac{3}{9.222} }[/tex]
= The L.C.M for 6.341 and 9.222 is 58.476702.
So, we have:
[tex]\mathbf{= \dfrac{18.444}{58.476702} +\dfrac{19.023}{58.476702} }[/tex]
[tex]\mathbf{= \dfrac{18.444+19.023}{58.476702} } }[/tex]
[tex]\mathbf{= \dfrac{37.467}{58.476702} } }[/tex]
= 0.64071
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Part VI: Graph the line x+3y=12 by finding the x- and y-intercepts and drawing the line that connects those two points.
Part VII: Use the inequality x+3y>_ 12 to determine whether the line should be solid or dashed and whether you should shade above or below the line you just graphed. Shade the region that satisfies the inequality.
The x intercept and y intercept of the line x + 3y = 12 are (12, 0) and (0, 4) respectively.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the line x + 3y = 12
The y intercept is at x = 0, hence:
0 + 3y = 12
y = 4
The x intercept is at y = 0, hence:
x + 3(0) = 12
x = 12
The x intercept and y intercept of the line x + 3y = 12 are (12, 0) and (0, 4) respectively.
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×|
-2
୦
1
2
f(x )
12.5
2.5
0.5
0.1
0.02
which exponential function is represented by the table
Answer:
1,2
Step-by-step explanation:
need helpppppppppppppppppppp
Answer:
Its the last option If you ask me.
Step-by-step explanation:
If the price goes up $1.25 every square yard, then I think its the last one.
como se hace y la respuesta
The arc length is 0.785 units and the diagonal is √2 units
How to determine the lengths?The question requires that we determine the lengths of the blue line and the arc
The blue line is the diagonal of the square, whose side length (l) is
l = 1
The diagonal is then calculated as:
[tex]d = l * \sqrt 2[/tex]
This gives
[tex]d = 1 * \sqrt 2[/tex]
[tex]d = \sqrt 2[/tex]
The diagonal divides the vertex of the square into 45 degrees a piece, and the diagonal represents the radius of the arc
This means that:
[tex]r = \sqrt 2[/tex]
[tex]\theta = 45^o[/tex]
The arc length is:
[tex]l = \frac{\theta}{360} * \pi r^2[/tex]
So, we have:
[tex]l = \frac{45^o}{360} * 3.14 * \sqrt 2^2[/tex]
This gives
[tex]l = \frac{282.6}{360}[/tex]
Divide
l = 0.785
Hence, the arc length is 0.785 units and the diagonal is √2 units
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The mean useful life of xar batteries is 48 months. They have a standard deviation of 5
2. In factored form, a quadratic function can be written as y= (-2- x) (x-8). This parabola goes through the points (-2, 0) and (8, 0). Use your knowiedge of the symmetry of the parabola to find the vertex. Show all work. 4 marks
show the parabola please
The vertex of the given parabola is the point (3, 25).
How to get the vertex of the parabola?
If the parabola has roots x₁ and x₂, then the vertex of the parabola is at:
xₙ = (x₁ + x₂)/2
Here the parabola is:
y = (-2 - x)*(x - 8)
We can rewrite that to:
y = -(x + 2)*(x - 8)
Then the two roots are:
x = -2 and x = 8
Then the vertex is at:
xₙ = (8 - 2)/2 = 6/2 = 3
To get the y-value of the vertex, we evaluate the equation in x = 3:
y = -(3+ 2)*(3 - 8) = -5*(-5) = 25
The vertex is (3, 25).
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What is the slope-intercept equation of the line below?
Answer:
D
Step-by-step explanation:
We will use the 2 coordinates marked on the graph as the reference.
The coordinates are:
A(4,-2)
B(0,3)
We know that the standard form for equation of line is:
y = mx+c
where m is the slope of the equation
and c is the y-intercept.
Very clearly, the y-intercept is where the line intercepts the y line.
and in this case, y-intercept = c = 3.
Now we know that the equation of line is now
y = mx + 3
To find m, the slope, we can use the 2 above coordinates.
slope of line = [tex]\frac{y1-y2}{x1-x2} \\=\frac{-2-3}{4-0} \\=\frac{-5}{4} \\=-\frac{5}{4}[/tex]
(Note: There is a 2nd way to find the slope in this case, let me know if you are interested to find out.)
Equation of line: [tex]y=-\frac{5}{4} x+3[/tex]
Therefore the answer is D.
A suspension bridge with weight uniformly distributed along its length has twin towers that extend 70 meters above the road surface and are 1200 meters apart. The cables are parabolic in shape and are suspended from the tops of the towers. The cables touch the road surface at the center of the bridge. Find the height of the cables at a point 300 meters from the center. (Assume that the road is level.)
Answer:
17.5 m
Step-by-step explanation:
The height of a parabola above its vertex is proportional to the square of the distance from the vertex.
Cable heightThe towers are 1200 m apart, so each is 600 m from center. The location of interest is 300 m from center, so 1/2 the distance to a tower. Since the height is proportional to the square of the distance, the height half-way to the tower will be (1/2)² = 1/4 the height of the tower.
(1/2)²×(70 m) = 17.5 m
The height of the cable 300 m from center will be 17.5 meters.
Create a tree diagram for flipping an unfair coin two times. The probability of H is 2/3 and probability of T is 1/3. Write the probabilities on each branch.
The probabilities on each branch are shown in the tree diagram, and P(HT) = 2/9.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
The probability of H is 2/3 and the probability of T is 1/3.
P(HT) = P(H in the first trial)P(T in the second trial)
From the tree diagram:
P(HT) = (2/3)(1/3) = 2/9
Thus, the probabilities on each branch are shown in the tree diagram, and P(HT) = 2/9.
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URGENT!!! NEED ANSWER SOON!!!!
Pretend that you are the owner of a candy store. You have twenty pounds of cashews, which cost $3.55 a pound, and you have some peanuts, which cost $2.50 a pound. How many pounds of peanuts would you have to mix with the cashews to get a mixture that costs $3.20 per pound?
A. 10 pounds B. 9 pounds C. 7 pounds D. 8 pounds
Answer:
10 pounds
Step-by-step explanation:
So you have some given information:
(Price of cashews per pound) = 3.55
(Amount of cashes) = 20 pounds
(Price of peanuts, per pound) = 2.50
Now what you're looking for is the amount of peanuts you need to get a mixture of 3.20 per pound. So to find the price per pound. You would take the entire price and divide it by the amount of pounds. So generally it can be expressed as: [tex]\text{price per pound} = \frac{\text{price}}{\text{pounds}}[/tex] . In this equation we know we already have 20 pounds of cashews and they cost 3.55 per pound. We also know what the price per pound of the mixture is going to be, it's going to be 3.20. In the equation I'll express the amount of peanuts as "P" So we have the equation:
Plug in known values:
[tex]3.20 = \frac{20(3.55) + P(2.50)}{20+P}[/tex]
Multiply:
[tex]3.20 = \frac{71 + 2.5P}{20+P}[/tex]
Multiply both sides by 20 + P
[tex](20+P)(3.20) = 71+2.5P[/tex]
Distribute the 3.20
[tex]64+3.2P = 71+2.5P[/tex]
Subtract 2.5 from both side and subtract 64 from both sides
[tex]0.7P = 7[/tex]
Divide both sides by 0.7
[tex]P = 10[/tex]
So 10 pounds will be needed
Which statement is true about the end behavior of the
graphed function?
• As the x-values go to positive infinity, the function's
values go to negative infinity.
• As the x-values go to zero, the function's values go
to positive infinity.
• As the x-values go to negative infinity, the function's
values are equal to zero.
O As the x-values go to positive infinity, the function's
values go to positive infinity.
As the x-values go to negative infinity, the function’s values go to positive infinity.
How to determine the end behavior of a graph function?The end behavior of a function f(x) is given by; lim x → ∞ (f(x))
In the given graph attached, we can see that when as x goes to negative infinity (to the left) the y-values go up (toward positive infinity) since y is pointing upwards.
Thus, lim x → ∞ (f(x)) = ∞ and as such the correct option is As the x-values go to negative infinity, the function’s values go to positive infinity.
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True or false? To begin an indirect proof, you assume the converse of wha
you intend to prove is true.
OA. True
OB. False
Answer: B. False
Step-by-step explanation:
You assume the inverse of what you intend to prove is true, not the converse.
what is proportional reasoning
Answer:
Making comparisons of numbers or values and considering relationships are also aspects of proportional reasoning.
Example:
A worker being paid by the number of hours he/her worked.
#EDIT #1
2pr+2prh find the surface area of water tower that is 40 feet tall and has a diameter of 30 feet
The Surface area of the cylindrical tower is 5181 ft cube.
How to find surface area of a cylinder?Surface area of cylinder = 2πr² + 2πrh
where
r = radiush = heightTherefore,
r = 30 / 2 = 15 ft
h = 40 ft
Surface area of cylinder = 2πr(r + h)
Surface area of cylinder = 30π(40 + 15)
Surface area of cylinder = 30π(55)
Surface area of cylinder = 1650π
Surface area of cylinder = 5181 ft³
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log 9-log 4÷log 3-log 2
Step-by-step explanation:
whoever created the original question and then probably the people copying it need to focus on writing these things correctly.
I assume this means
log(9) - log(4) ÷ log(3) - log(2)
or is anything combined in brackets ? like it could be e.g. log(4 ÷ log(3)). just as example.
and I guess we mean logarithm to the base of 10, right ?
anyway, if my assumptions are correct, then we only need to follow the regular priorities of mathematical operations :
1. brackets
2. exponents
3. multiplications and divisions
4. additions and subtractions
so, we need to start with the division in the middle, and then do the subtractions.
log(4) ÷ log(3) = 1.261859507...
log(9) - 1.261859507... = -0.307616998...
-0.307616998... - log(2) = -0.608646993...
or was the original question
(log(9) - log(4)) ÷ (log(3) - log(2))
?
that would be way more interesting.
we use the rules of logarithm :
e.g.
log(a×b) = log(a) + log(b)
log(a/b) = log(a) - log(b)
so, we have then
log(9/4) ÷ log(3/2)
and that is equal to
log(3/2 × 3/2) ÷ log(3/2)
(log(3/2) + log(3/2)) ÷ log(3/2) = 1 + 1 = 2
if that is the case, you really, REALLY need to pay more attention to brackets and other symbols in problem definitions.
Adi used algebra tiles to represent the product (negative 2 x minus 1)(2 x minus 1). please help!
The true statement is (b) she did not represent the two original factors correctly on the headers
How to determine the true statement?The product expression is given as:
(-2x - 1)(2x - 1)
Expand the expression
(-x - x - 1)(x + x - 1)
This means that the header of the algebra tiles would be:
-x, -x, 1 and x, x and -1
From the figure, we can see that this is incorrectly represented
Hence, the true statement is (b)
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Consider the following "generic rectangle" where the area of each region is given. Write equivalent
expressions that express the area of the whole rectangle as a sum and as a product.
Answer:
sum: 3x² -4x -4product: (x -2)(3x +2)Step-by-step explanation:
The areas of four regions are given. We can simply add them to find the sum. To express them as a product, we need to look at common factors.
SumThe total of the given area expressions is ...
3x² +2x -6x -4 = 3x² -4x -4 . . . . sum
ProductExtending the table to show common factors of each row and column, we have ...
[tex]\begin{array}{c|c|c|}&3x&2\\\cline{1-3}x&3x^2&2x\\\cline{1-3}-2&-6x&-4\\\cline{1-3}\end{array}[/tex]
Since each cell of the table is the product of the corresponding common factors, we can write the area as the product ...
(x -2)(3x +2) . . . . product
Find the equation of this line.
1
y = [? ]x + [
Simplify your answer and enter as an integer.
What is the difference of the given values to the correct level of precision?
22.108 L
– 5.80 L
8x + y = 23 plus -10x -y = -27
Answer:
13.5
Step-by-step explanation:
8x+y-10x-y=-27
-2x=-27
x=13.5
Answer:
64
Step-by-step explanation:
Ahanu cuts a board that is 2.25 ft long into two pieces, where one piece is 3 inches longer than the other piece. Find the length of each piece The shorter piece is The longer piece is ft long. ft long. Ahanu cuts a board that is 2.25 ft long into two pieces , where one piece is 3 inches longer than the other piece . Find the length of each piece .
Answer:
The shorter piece is 1.5 ft long.
The longer piece is 1.75 ft long.
Step-by-step explanation:
We are given that one piece is 3 inches longer than the other, which we can convert to 0.25 ft. We are also told that the total length of the board is 2.25 ft. This means that the two pieces must have lengths that add up to 2.25 ft.
Therefore, we can set up the equation:
x + (x + 0.25) = 2.25
Solving for x, we find that x = 1.5 ft, which is the length of the shorter piece. The length of the longer piece must then be 1.75 ft.
What are the x-intercepts of this function?
g(x) = -0.25x2 − 0.25x + 5
Answer:
(-5,0) and (4,0)
x= -5 and x= 4
Step-by-step explanation: