The answer choice which represents a true statement with respect to the functions is; Choice C; The graphs of g(x) and f(x) both have end behaviors that go in the same direction.
Which statement is true about the functions?It follows from the task content that the functions given are;
f(x) = 3|x+14|
g(x)= x³ + 3x-14
h(x)=3*x +1
i(x) = log4(x - 1).
From the functions given above, it follows that the range of f(x) is all positive real numbers and has an ending behaviour as function g(x) as their ending behaviour indicates ascending slope (positiv slope).
Hence, The graphs of g(x) and f(x) both have end behaviors that go in the same direction.
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what is the equation asking you do? what is your plan to solve?
These questions are going to help while you are doing a problem! so use them often!
This statement is TRUE. When we are doing a problem, we could use these questions " what is the equation asking you do? what is your plan to solve?" as the part of starting solving the problem in math about equation matter.
About equationIn mathematics, an equation is an equation statement that contains one or more variables. Solving equations consists of determining which variable values makes an equality true. The variable is also called "unknown" and the value of an "unknown" that satisfies the equation is called the equation solution. There are two types of equations: identity and conditional equations. True identity for all variable values. The conditional equation is true only for certain variable values.
An equation is a mathematical statement in the form of a symbol which states that two things are exactly the same. Equations are written with an equal sign (=), as follows:
x + 3 = 5, which states that value x = 2.
2x + 3 = 5, which states that the value x = 1.
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Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle.
y = ex, y = x2 − 1, x = −1, x = 1
Find the area of the region.
The area of the region is rectangles
The given curves are y = x2 and y = 2 − x2. They intersect at x = 1, y = 1. See the graph below. The shaded region enclosed by the curves is the region whose area we wish to find.To find the area of the shaded region,
The left part of the region is the part bounded by the x-axis, the curve y = x2, and the line x = 1. This region is shown below. To find the area of this region, we integrate with respect to y from y = 0 to y = 1. Along the curve y = x2, the values of x are ± y1/2. So we have to integrate from x = −y1/2 to x = 1.
Thus the area of the right part of the region isThus the total area of the shaded region is Approximating rectangle The area of each approximating rectangle is given by height times width. Since we are dividing the region into two parts we
A typical rectangle is shown below. The value of x corresponding to the lower end of the rectangle is x = −y1/2 and the value of x corresponding to the upper end of the rectangle is x = 1. So the height of the rectangle is x2 and the width is Δy = 1/n. Therefore, the area of the rectangle isSince the rectangle is located below the curve, this approximation underestimates the true area of the region.
Therefore, the area of the rectangle is Since the rectangle is located above the curve, this approximation overestimates the true area of the region. By computing the sum of the areas of all the approximating rectangles and taking the limit as n approaches infinity, we can find the exact area of the region.
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A submarine travels 6.6 km due West from its base and then turns and travels due South for 3.9
km.
How far away is the submarine from its base?
Give your answer rounded to 1 DP.
Answer:
\(7.7\) km
Step-by-step explanation:
The submarine's path from its base forms a right triangle when its final position is "connected" to the base. We know that the right triangle has legs of \(6.6\) km and \(3.9\) km, and we need to find the length of its hypotenuse. To do so, we can use the Pythagorean Theorem, which states that in a right triangle, \(a^{2}+b^{2} =c^{2}\), where \(a\) and \(b\) are the lengths of the triangle's legs and \(c\) is the length of the triangle's hypotenuse. In this case, we know what \(a\) and \(b\) are, and we need to solve for c, so after substituting the given values of \(a\) and \(b\) into \(a^{2}+b^{2} =c^{2}\) to solve for c, we get:
\(a^{2}+b^{2} =c^{2}\)
\(6.6^{2} +3.9^{2} =c^{2}\) (Substitute \(a=6.6\) and \(b=3.9\) into the equation)
\(43.56+15.21=c^{2}\) (Evaluate the squares on the LHS)
\(58.77=c^{2}\) (Simplify the LHS)
\(c^{2}=58.77\) (Symmetric Property of Equality)
\(\sqrt{c^{2} } =\sqrt{58.77}\) (Take the square root of both sides of the equation)
\(c=7.7,c=-7.7\) (Simplify)
\(c=-7.7\) is an extraneous solution because you can't have negative distance, if that makes sense, so therefore, the submarine is approximately \(7.7\) km away from its base. Hope this helps!
What is 22 lb day in oz h?
Answer:
352 OZ
Step-by-step explanation:
One pound = 16 OZ
take 22 and multiply it by 16
22 x 16 = 352
Answer:
15 ounces per hour
Step-by-step explanation:
This is dimensional analysis, so we need to find conversion factors for ounces per pound and hours per day. Once we have those we write the equation such that the units we need are left and the others cancel:
22lb/1 day x 16 ounces/1 lb x 1 day/24hrs = 14.66666666666 ounces per hour
Since the problem was written with no decimals, our answer probably shouldn't either and in most cases like this we want to round to the nearest whole number, which is 15.
Find the area of rectangle $BCEF$ . Round the area to the nearest whole number, if necessary.
A trapezoid A B C D is plotted on a coordinate plane. A D represents the longer base and B C represents the shorter base. Vertex A lies at ordered pair negative 5 comma 4. Vertex B lies at ordered pair 0 comma 3. Vertex C lies at ordered pair 4 comma negative 1. Vertex D lies at ordered pair 4 comma negative 5. A line is drawn from vertex B and intersects line A D at point F plotted at ordered pair negative 2 comma 1. A line is drawn from vertex C and intersects the line A D at point E plotted at ordered pair 2 comma negative 3.
The area is
square units.
The area of a rectangle is the product of its dimensions. The area of rectangle BCEF is 16 square units
Given that:
\(B = (0,3)\)
\(C = (4,-1)\)
\(E =(2,-3)\)
\(F = (-2,1)\)
Refer to attachment for the missing figure
The area of a rectangle is:
\(Area= Length \times Width\)
The length of the rectangle can be represented as: BC or FE
The width of the rectangle can be represented as: BF or CE
The lengths of these sides can be calculated using distance formula
\(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)
So, we have:
\(BC = \sqrt{(4- 0)^2 + (-1- 3)^2}\)
\(BC = \sqrt{32}\) ------ This represents length
\(BF = \sqrt{(-2- 0)^2 + (1- 3)^2}\)
\(BF = \sqrt{8}\) ---- This represents width
The area is:
\(Area= Length \times Width\)
\(Area = BF \times BC\)
\(Area = \sqrt{32} \times \sqrt{8}\)
\(Area = \sqrt{32 \times 8}\)
\(Area = \sqrt{256}\)
\(Area = 16\)
Hence, the area of the rectangle is 16 square units
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true or false? "Because in a randomized controlled trial (RCT), the assignment is random, therefore there is no coverage bias---by definition" g
The statement "Because in a randomized controlled trial (RCT), the assignment is random, therefore there is no coverage bias---by definition" g is false because, it is important to consider both randomization and other factors when assessing the potential for bias in an RCT.
Random assignment in an RCT can help to reduce selection bias, but it does not guarantee the absence of coverage bias.
Coverage bias can occur if the participants who are enrolled in the trial do not represent the population to which the results will be generalized.
For example, if the trial only includes participants who are healthier or more compliant than the typical patient, the results may not be applicable to the broader population.
Therefore, it is important to consider both randomization and other factors when assessing the potential for bias in an RCT.
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TIMED
Find the slope
Answer: The slope is -1.
Given StartLayout Enlarged left-brace First-row StartFraction x cubed minus 1 Over x squared minus 1 EndFraction, for x less-than 1 second row StartFraction 3 Over x minus 1 EndFraction, for x greater-than-or-equal-to 1 EndLayout. What is Limit of f (x) as x approaches 1 minus?
Negative three-halves
0
Three-halves
DNE
Answer:
Its C 3/2 just did the test
Step-by-step explanation:
The value of the \(\lim_{ x \rightarrow 1^-}f(x)\) is ∞, since option (d) DNE.
What is function?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
How to evaluate the \(\lim_{ x \rightarrow 1^-}f(x)\)?The given function is \(f(x)=\left\{\begin{array}{l}\frac{x^{3}-1}{x^{2}-1}, \text { for } x < 1 \\\frac{3}{x-1}, \text { for } x \geq 1\end{array}\right\).
We need to evaluate the value of \(\lim_{ x \rightarrow {1^-}}f(x)\).
So \(\lim_{ x \rightarrow {1^-}}f(x)=\lim_{ x \rightarrow {1}}(\frac{3}{x-1})\)
\(=\frac{3}{1-1}\)
\(=\frac{3}{0}\)
= ∞
Hence the value of the function is ∞.
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(5x + 2)
(3x+2)
It has to equal 180 degrees but I don't know what it is
Find all possible solutions for x and y such that △ABC is congruent to △DEF.
△ABC: sides of length 18, 25, and 5x − 3.
△DEF: sides of length 25, 22, and 5 − y.
△ABC ≅ △DEF when x is
and y is
Answer:
x = 5 y = -13
Step-by-step explanation:
5(5) - 3 = 22 and 5 - (-13) = 18
The value of x and y is △ABC ≅ △DEF are 5 and -13 respectively
Since △ABC is congruent to △DEF. hence all the sides of △ABC will be equal to △DEF.
Given the sides of △ABC to be 18, 25, and 5x − 3.
Sides of △DEF to be 25, 22, and 5 − y
This shows that the third side of triangle △ABC is 22, hence
5x - 3 = 22
5x = 22 + 3
5x = 25
x = 5
Similarly, the thirs side of △DEF will be 18, hence;
5 - y = 18
y = 5 - 18
y = -13
Hence the value of x and y is △ABC ≅ △DEF are 5 and -13 respectively
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(Algebra2 HELP please)
Yum’s Bakery bakes two breads, A and B. One loaf of A uses 5 pounds of oats and one loaf of B uses 2 pounds of oats. The company has 180 pounds of oats available. Bread A & Bread B use 3 pounds of flour each per loaf. The bakery has 135 pounds of flour available. The number of loaves Bread B must be at most 3 times the number of loaves of Bread A. One loaf of A yields a profit of $40 and one loaf of B yields a profit of $30. Find how many loaves of each bread the bakery should bake in order to maximize profit.
(I need 2 Answers out of these bellow)
y represents silver
y represents source B
x represents source A
x represents gold
y represents total cost
x represents daily costs
Maximizing profit, is a way of getting the highest possible profit, from a function.
The bakery should make 45 loaves of A and 0 loaves of B, to maximize profit
To do this, we make use of the following representations.
x represents source A, and y represents source B
So, we have:
Constraint 1:
A uses 5 pounds, and B uses 2 pounds of oats.
Available: 180
The above condition is represented as;
\(\mathbf{5x + 2y \le 180}\)
Constraint 2:
A and B use 3 pounds of flour each.
Available: 135
The above condition is represented as;
\(\mathbf{3x + 3y \le 135}\)
Objective function
A yields $40, while B yields $30
So, the objective function is:
\(\mathbf{Maximize\ Z = 40x + 30y}\)
So, we have:
\(\mathbf{Maximize\ Z = 40x + 30y}\)
Subject to
\(\mathbf{5x + 2y \le 180}\)
\(\mathbf{3x + 3y \le 135}\)
\(\mathbf{x,y \ge 0}\)
See attachment for the graph of the subjects
From the graph, we have the corner points to be:
\(\mathbf{(x,y) = \{(0,45),(30,15),(45,0)\}}\)
Substitute these values in the objective function
\(\mathbf{Z = 40(0) +30(45) = 1350}\)
\(\mathbf{Z = 40(30) +30(15) = 1650}\)
\(\mathbf{Z = 40(45) +30(0) = 1800}\)
The maximum value of Z is at: (45,0)
This means that: the bakery should make 45 loaves of A and 0 loaves of B, to maximize profit
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The Brandywine Dance Team is buying equipment and T-shirts. The equipment costs $356 and the T-shirts cost $12 each. The team spent a total of $644
The number of T-shirts bought by the Brandywine Dance Team is 24.
How is the number of T-shirts determined?The number of the T-shirts that the Brandywine Dance Team purchased is determined using basic mathematical operations of division, subtraction, addition, and multiplication.
First, the cost of the equipment is subtracted from the total cost spent by the team. The remainder refers to the cost of the T-shirts. Since one T-shirt costs $12, the total quantity of T-shirts bought is 24.
Data and Calculations:The total amount spent = $644
The cost of the equipment = $356
The remainder after the equipment = $288 ($644 - $356)
Unit cost of T-shirts = $12
The number of T-shirts bought = 24 ($288/$12)
Thus, the Brandywine Dance Team bought 24 T-shirts.
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Question Completion:How many T-shirts were purchased by the Team?
what is nominal data involved the use of variables that have been rank ordered?
Data can be divided on the basis of qualitative nature into two types as follows:
Nominal data - Nominal data is defined as a type of qualitative data where variables are grouped into categories. They do not follow any specific order. For example, people can be categorised according to their sex as male, female or transgender.Ordinal data - Ordinal data is defined as a type of data that can be divided into categories with following any kind of order, that is the data can be ranked.Thus, it is clear that nominal data can not be ranked or ordered but ordinal data are the type of qualitative data that are categorised and then ranked or ordered.
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please help! Complete the function for this graph.
Answer:
y = - 2|x - (-2)| + 1
Step-by-step explanation:
The general form of an absolute value function is y = a|x – h| + k, where a ≠ 0.
The value of a determines whether the graph opens up or down. If a is negative, the graph opens down. This holds true, as the value of a = -2
The given graph for the absolute function has a vertex (h, k) of (-2, 1). This is the maximum point of the graph.
Therefore, the missing values on the given equation is the value of the vertex. It has to be written as y = - 2|x - (-2)| + 1 because the equation on your given problem is formatted according to the general form of the absolute value function, y = a|x – h| + k.
8 + (7 + 1)2 + 4
Can you help me find the answer to this one.
Answer:
28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
8+(7+1)2+4=
8+(8)×2+4=
8+16+4=
28
ps:Can I be brainliest.Have a nice day.Best regards
tan 21 degrees = 9/x
Answer:
23.4458015822
Step-by-step explanation:
tan(21) = 9/x
9/tan(21) = x
9/tan(21) = 23.4458015822
solve for x
-1 - 3x = -7
Answer:
the answer-is 2
Step-by-step explanation:
-1-3x=-7
+1. +1
-3x/-3=-6/-3
x=2
Piece of Ice Used K 20 centimeters. 33 centimeters
The volume of the remaining piece of ice cube is 6911.5 cubic cm
How to determine the volume of the remaining pieceFrom the question, we have the following parameters that can be used in our computation:
The figure
Where, we have
Radius, r = 20/2 = 10 cm
Height, h = 33 cm
The volume of the remaining piece is calculated is
V = 2/3πr²h
Substitute the known values in the above equation, so, we have the following representation
V = 2/3 * 22/7 * 10² * 33
Evaluate
V = 6911.5
Hence, the volume of the remaining piece is 6911.5 cubic cm
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if the positive integer x leaves a remainder of 2 when divided by 8, what will the remainder be when x 9 is divided by 8?
The remainder when a positive integer x leaves a remainder of 2 when divided by 8 and x+9 is divided by 8 is 5.
If the positive integer x leaves a remainder of 2 when divided by 8, then we can say that x = 8k + 2, where k is an integer.
Now, if we divide x+9 by 8, we get:
(x+9)/8 = (8k + 2 + 9)/8
= (8k + 11)/8
= k + (11/8)
So, the remainder when x+9 is divided by 8 is 11/8. However, since we are dealing with integers, the remainder can only be a whole number between 0 and 7.
Therefore, we need to subtract the quotient (k) from the expression above and multiply the resulting decimal by 8 to get the remainder:
Remainder = (11/8 - k) x 8
Since k is an integer, the only possible values for (11/8 - k) are -3/8, 5/8, 13/8, etc. The closest whole number to 5/8 is 1, so we can say that:
Remainder = (11/8 - k) x 8 ≈ (5/8) x 8 = 5
Therefore, the remainder when x+9 is divided by 8 is 5.
If a positive integer x leaves a remainder of 2 when divided by 8, then x can be expressed as 8k + 2, where k is an integer. To find the remainder when x+9 is divided by 8, we divide x+9 by 8 and subtract the quotient from the decimal part. The resulting decimal multiplied by 8 gives us the remainder. In this case, the decimal is 11/8, which is closest to 1. Thus, we subtract the quotient k from 11/8 and multiply the result by 8 to get the remainder of 5.
The remainder when a positive integer x leaves a remainder of 2 when divided by 8 and x+9 is divided by 8 is 5.
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find -|-2/5|?
-2.5
2.5
2/5
-2/5
Answer:
(2/5)
Step-by-step explanation:
(-2/5) = -(2/5)
|-(2/5)| = (2/5)
Using the binary search algorithm, what is the maximum number of iterations needed to find an element in an array containing 256 elements?
Finding a particular element in a sorted array may be done using the binary search technique.
Large arrays may be searched effectively because to its method, which divides the search space in half at each iteration. The greatest number of iterations needed by the binary search method to locate an entry in a 256-element array would be 8.
This may be deduced by the fact that the base 2 logarithm of 256 is 8, and the binary search method cuts the search space in half with each iteration.
At each iteration, the algorithm compares the target element with the middle element of the remaining search space. If the target is smaller, it restricts the search space to the lower half, otherwise to the upper half. The process continues until the target element is found or there are no more elements to search.
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find the solution set of the system of linear equations.(10pts) 3x-y z=5 x 2y z=0 x z=2
he solution set for this system of linear equations is {(10/7, -5/7, 1), (4/7, -5/7, 2/5)}.
To solve this system of linear equations, we can use the method of elimination. We want to eliminate one variable at a time until we are left with a system of two equations in two variables. Here's how we can proceed:
1. Multiply the second equation by -3 to get -6y - 3z = 0.
2. Add the first equation to the new equation to get -7y = 5.
3. Solve for y to get y = -5/7.
4. Substitute y = -5/7 into the second equation to get x - (10/7)z = 0.
5. Substitute y = -5/7 and x = (10/7)z into the third equation to get (10/7)z^2 - (5/7)z = 2.
6. Simplify and solve for z to get z = 1 or z = 2/5.
7. Substitute z = 1 into x - (10/7)z = 0 to get x = 10/7.
8. Substitute z = 2/5 into x - (10/7)z = 0 to get x = 4/7.
Therefore, the solution set of the system of linear equations is {(10/7, -5/7, 1), (4/7, -5/7, 2/5)}.
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In order to conduct an experiment 5 subjects are randomly selected from a group of 40 subjects how many different groups of 5 subjects are possible
Answer:
This can be done using the choose function.
The number of combinations are given by:
(
n
k
)
=
n
!
k
!
(
n
−
k
)
!
where
n
is the total number of students and
k
is the number of students to be picked. So we have
n
=
20
and
k
=
5
:
(
20
5
)
=
20
!
5
!
(
20
−
5
)
!
=
20
!
5
!
15
!
Evaluate directly with a calculator:
20
!
5
!
15
!
=
15504
we can simplify this before calculation by hand:
20
!
5
!
15
!
=
20
×
19
×
...
×
2
×
1
5
×
4
×
3
×
2
×
1
×
(
15
×
...
×
1
)
=
(
20
×
...
×
16
)
(
15
×
...
×
1
)
(
5
×
...
×
1
)
(
15
×
...
×
1
)
=
(
20
×
...
×
16
)
15
×
...
×
1
(
5
×
...
×
1
)
15
×
...
×
1
=
(
20
×
19
×
18
×
17
×
16
)
(
5
×
4
×
3
×
2
×
1
)
Simplify the numbers matched up by color:
=
(
4
×
19
×
9
×
17
×
4
)
(
1
×
1
×
3
×
1
×
1
)
=
(
4
×
19
×
3
×
17
×
4
)
(
1
×
1
×
1
×
1
×
1
)
=
3
×
4
×
4
×
17
×
19
=
48
×
323
=
15504
Find the midpoint of R(2,2) and S(-3,6)
Answer: (-0.5, 4)
Step-by-step explanation:
Midpoint formula: \((\frac{x1+x2}{2} ,\frac{y1+y2}{2} )\)
(x1, x2)=(2, -3)
(y1, y2)=(2, 6)
-----------------------------------------------
\((\frac{x1+x2}{2} ,\frac{y1+y2}{2} )\)
=\((\frac{2-3}{2} ,\frac{2+6}{2} )\)
=\((\frac{-1}{2} ,\frac{8}{2} )\)
=\((-0.5, 4)\)
Hope this helps!! :)
Please let me know if you have any question or need further explanation
Answer:
\(M=(-\frac{1}{2},4)\)
Step-by-step explanation:
The midpoint formula is given by:
\(M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)
Let (2,2) be x₁ and y₁ and let (-3,6) be x₂ and y₂. Therefore:
\(M=(\frac{2+-3}{2},\frac{2+6}{2})\)
Simplify:
\(M=(-\frac{1}{2},\frac{8}{2})\\M=(-\frac{1}{2},4)\)
what is the momentum of a 500 kg truck moving at 25.0 m/s
need answer asap
Answer: p = 8750 kg·m/s
Step-by-step explanation:
1. Five times x increased by three times y is ___________.
Hello!
Five times x increased by three times y is 5x + 3y
Help ASAP
Which statement represents the simplified form of the given equation and correctly describes the solution?
6x + 14 = 3(2x + 5)
A.
x = 14; exactly one real solution
B.
x = 15; exactly one real solution
C.
14 = 14; infinite real solutions
D.
14 ≠ 15; no real solutions
Answer:
D
Step-by-step explanation:
First, you must solve this equation
6x+14=3(2x+5)
distribute 3 on the right side
6x+14=6x+15
subtract 6x on both sides
14=15
Since there are no values of x that will make this true, the answer is equal to no solutions, so it's D
Select three expressions that are equivalent to 16x + 12y
Answer:
I'm not sure what X or Y equals, But I'm pretty sure this could help!!
1. 4x + 16
2. 8x + 32
3. 2x + 8
A cone has a volume of $245\pi$ cubic yards and a diameter of 14 yards. Find the height.
As a result, the height of cone is **15 yards** tall.
What does cone volume mean?A cone's volume is its inside space or capacity. It can be measured in cubic units like litres or cubic centimeters, or even cubic meter2.
The volume of a cone is calculated as follows:
V = (1/3)× π× r²× h
where V denotes the cone's volume, r denotes the cone's base radius, and h denotes the cone's height
The following formula determines a cone's volume:
V = (1/3)× π × r²× h
where V denotes the cone's volume, r denotes the base's radius, and h denotes the cone's height.
We are aware that the cone has a volume of 245 pi cubic yards. Therefore:
245π = (1/3) * π× r²× h
If you multiply both sides by 3, you get:
735 = π×r²×h
The cone's 14-yard diameter is another fact that we are aware of. The radius being equal to half the diameter, we have:
7 yards is r.
Input of this value into our equation results in:
735 = π * 7²×h
If we simplify this equation, we get:
735 = 49πh
49 divided by both sides results in:
h = 15
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For what value of x must ABCD be a parallelogram?
Answer:
yes it could be
Step-by-step explanation:
Answer:
5x = 6x-7 subtract 6x from each side-x=-7x=7