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## Brainly.com What is your question? High School Mathematics 5+3 pts Which of the following situations could be represented with the given system of equations? 0.1x+0.6y=0.4(5) x+y=5 A. Eunice needs to combine solutions of 0.1M HCl and 0.4M HCl to produce 5L of 0.6M hydrochloric acid (HCl). B. Eunice needs to combine solutions of 0.1M HCl and 0.6M HCl to produce 5L of 0.4M hydrochloric acid (HCl). C. Eunice needs to combine solutions of 0.4M HCl and 0.6M HCl to produce 5L of 0.1M hydrochloric acid (HCl). D. Eunice needs to combine solutions of 0.1M HCl and 0.6M HCl to produce 4L of 0.5M hydrochloric acid (HCl).

In the equations, the molarity is given as coefficients, x and y are volumes of HCl of different concentrations.  Therefore on the right hand side, molarity is 0.4, volume is 5 L.
The correct answer has a product of 0.4M and 5L.

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## Given the system of equations, what is the solution? x + 2y = 11 x – 2y = -1 {(-5, -3)} {(1, 1)} {(5, 3)}

Given the system of equations, what is the solution? x + 2y = 11 x – 2y = -1 {(-5, -3)} {(1, 1)} {(5, 3)}

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## Identify both the x- and y-intercepts of the linear equation graphed on the coordinate plane above. Use the intercepts to write an equation of the line in point-slope form, slope-intercept form, and general form of a linear equation.Complete your work in the space provided or upload a file that can display math symbols if your work requires it. In your work, be sure to include the coordinates for both intercepts and the equations of the line in all three formats.

The x int (where the line crosses the x axis) is (-2,0)
the y int (where the line crosses the y axis) is (0,-2)

(-2,0)(0,-2)
slope = (-2 – 0) / (0 – (-2) = -2/2 = -1

y = mx + b
slope(m) = -1
use either of ur points (-2,0)…x = -2 and y = 0
sub and find b
0 = -1(-2) + b
0 = 2 + b
-2 = b

so ur equation in slope intercept form is : y = -x – 2

y = -x – 2
x + y = -2
x + y + 2 = 0 <== general form

there can be 2 answer for point slope form…
y – y1 = m(x – x1)
slope(m) = -1
(-2,0)…x1 = -2 and y1 = 0
sub
y – 0 = – (x – (-2)
y – 0 = -(x + 2) <=== point slope form

y – y1 = m(x – x1)
slope(m) = -1
(0,-2)…x1 = 0 and y1 = -2
sub
y – (-2) = – (x – 0)
y + 2 = – (x – 0) <== point slope form

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## Describe how you would determine whether two lines are parallel by looking at the equations of the lines in standard form.

By comparing the slopes of both lines.

Step-by-step explanation:

The general form of a straight line is y = mx + c where m is the slope of the line and c is the y-intercept of the line.

For e.g. Consider, the lines y = 2x – 3 and y = 2x – 7.

Now, by comparing these lines with the general form, we get that both of them have slope 2.

Also, by the graph below it can be seen that they both are parallel.

So, it is clear that ‘The slopes of two parallel lines are same’.

Hence, by looking at the standard form of the equation and comparing the slopes, we can determine whether the lines are parallel or not.

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## A set of equations is given below: Equation H: y = –x + 2 Equation J: y = 3x – 4 Which of the following steps can be used to find the solution to the set of equations? (4 points) A.–x = 3x – 4 B.–x +2 = 3x C.–x + 2 = 3x – 4 D.–x + 1 = 3x + 2

A set of equations is given below: Equation H: y = –x + 2 Equation J: y = 3x – 4 Which of the following steps can be used to find the solution to the set of equations? (4 points) A.–x = 3x – 4 B.–x +2 = 3x C.–x + 2 = 3x – 4 D.–x + 1 = 3x + 2

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## Consider the following set of equations: Equation M: y = x + 4 Equation P: y = 3x + 6 Which of the following is a step that can be used to find the solution to the set of equations? (4 points) A. x = 3x + 6 B. x + 4 = 3x + 6 C. x + 6 = 3x + 4 D.x = 3x

Consider the following set of equations: Equation M: y = x + 4 Equation P: y = 3x + 6 Which of the following is a step that can be used to find the solution to the set of equations? (4 points) A. x = 3x + 6 B. x + 4 = 3x + 6 C. x + 6 = 3x + 4 D.x = 3x

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## Consider the following pair of equations: y = –2x + 8 y = x – 1 Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form. (5 points)

There is a special kind of substitution which some books call it by comparison.

When the two equations are both
y=some function of x
y=some other function of x, then
we can substitute the second equation into the first giving
some function of x = some other function of x and start solving.

For example,
y = –2x + 8
y = x – 1
substitute second into first
x-1=-2x+8
isolate x on left,
3x=9
x=3
second step is to substitute x=3 into second equation to get
y=x-1=3-1=2
Therefore the solution is (3,2)

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## Look at the graph of this system of equations: y = – x2 + 1 and y = x2. At which approximate points are the two equations equal? A) (-0.7, 0.5) B) (0.5, 0.7) C) (0.7, 0.5) D) (-0.5, 0.7) Note: There can be more than answer. Help me and I will give you brainliest. Thank you. In this picture, there’s the graph.

Y=-x^2+1 and y=x^2

When the two curves intersect their coordinates will be equal, so we can say y=y whenever a solution exists, so:

x^2=-x^2+1  add x^2 to both sides

2x^2=1  divide both sides by 2

x^2=1/2  take the square root of both sides

x=±√(1/2), so there are two solutions, we can use x^2 to find the corresponding y values.

y=x^2, y=1/2 in each instance, so the two point where the curves intersect are:

(-√(1/2), 1/2) and (√(1/2), 1/2)  or if you want approximations….

(-0.7, 0.5) and (0.7, 0.5)

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## Equations can be balanced by using the half-reaction method. Which step should be completed immediately after finding the oxidation states of atoms? A inserting the coefficients B balancing the half reactions C identifying the half reactions D inspecting the number of atoms

Equations can be balanced by using the half-reaction method. Which step should be completed immediately after finding the oxidation states of atoms? A inserting the coefficients B balancing the half reactions C identifying the half reactions D inspecting the number of atoms

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## At which approximate x-value are these two equations equal? A) 0.5 B) 0.8 C) 1.2 D) 1.4

At which approximate x-value are these two equations equal? A) 0.5 B) 0.8 C) 1.2 D) 1.4

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## How many solutions does a system of two linear equations have if the slope of each equation is different and the y-intercepts are the same?

How many solutions does a system of two linear equations have if the slope of each equation is different and the y-intercepts are the same?

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## Suppose you have 30coins that total to \$2.10 some of these coins are pennies and the rest are dimes which system of equations can be solved to find the number of each type of coin you have

Suppose you have 30coins that total to \$2.10 some of these coins are pennies and the rest are dimes which system of equations can be solved to find the number of each type of coin you have

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## Which represents the solution(s) of the system of equations, y = x2 – 4x – 21 and y = –5x – 22? Determine the solution set algebraically. (–1, –17) (1, –27) (–1, –17) and (1, –27) no solutions

No solutions

Step-by-step explanation:

We have been given the system of equations

Substituting the values y from (2) in (1)

Let us find the discriminant of this quadratic equation

Since, D is negative. Hence, there will not be any real zeros.

It means we’ll not get any real values for x.

Therefore, there is no solution for the given system of equations.

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## Find the solution of this system of equations. Separate the x- and y-values with a comma. x= 5 + y 28x – 9y= -12

Find the solution of this system of equations. Separate the x- and y-values with a comma. x= 5 + y 28x – 9y= -12

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## Determine which of the following equations are perpendicular to each other. I. y=-3x+2 II. -3x+2y=1 III. x+3y=1 IV. y+1/3x+9 A. I and III B. I and IV C. II and IV D. None of these equations are perpendicular.

Write each equation in y = mx + b form so that you can compare the slopes.
Perpendicular slopes are opposite reciprocals.
For example: 2/3 and – 3/2; 4/5 and -5/4; 1/2 and -2

I. y = -3x + 2                 m = -3
II. y = 3/2 x + 1/2          m = 3/2
III.  y = – 1/3x  + 1/3      m = -1/3
IV. y = 1/3x + 9             m = 1/3          (I assuming this one had a typo in it                                                                   since there is no equal sign.)
LETTER B is the answer I & IV

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## Write equations for the horizontal and vertical lines passing through the point (7, -6).

Write equations for the horizontal and vertical lines passing through the point (7, -6).

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## Nine times the input minus seven is equal to the output. Which of the following equations describes this function? A) 9y – 7 = x B) 7y – 9 = x C) 9x – 7 = y D) 7x – 9 = y

Nine times the input minus seven is equal to the output. Which of the following equations describes this function? A) 9y – 7 = x B) 7y – 9 = x C) 9x – 7 = y D) 7x – 9 = y

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## A company's monthly profit increases by \$1,000 each month. In January, the profit of the company was \$25,000. If x = 0 represents January, which of the following equations represents the profit as a function of time (in months)? A. y = 25,000x + 1,000 B. y = 1,000x C. y = 1,000x – 25,000 D. y = 1,000x + 25,000

A company’s monthly profit increases by \$1,000 each month. In January, the profit of the company was \$25,000. If x = 0 represents January, which of the following equations represents the profit as a function of time (in months)? A. y = 25,000x + 1,000 B. y = 1,000x C. y = 1,000x – 25,000 D. y = 1,000x + 25,000

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## On your own paper, graph the system of equations and identify the solution. x-y=1 5x-4y=0 A:(2,1) B:(-4,-5) C:(1,2) D:(-5,-4) E: No solution

On your own paper, graph the system of equations and identify the solution. x-y=1 5x-4y=0 A:(2,1) B:(-4,-5) C:(1,2) D:(-5,-4) E: No solution

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## On your own paper, solve the system of equations using elimination and identify the solution. Always list your answer alphabetically in order pairs. 5e + 4f=9 4e+5f=9 A.(2,2) B.(1,1) C.(,1,-1( D.(-2,-2) E.IMS F,NS

5e + 4f = 9….multiply by -4
4e + 5f = 9 …multiply by 5
——————
-20e – 16f = -36 (result of multiplying by -4)
20e + 25f = 45 (result of multiplying by 5)
9f = 9
f = 9/9
f = 1

5e + 4f = 9
5e + 4(1) = 9
5e + 4 = 9
5e = 9 – 4
5e = 5
e = 5/5
e = 1

solution is (1,1)

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## Using substitution solve the following system of equations x^2 -y=1 and x+y=11

Using substitution solve the following system of equations x^2 -y=1 and x+y=11

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## Austin is comparing the prices of two truck rental companies. Company a charges \$4 per hour and an additional \$70 as service charges. Company b charges \$5 per hour and an additional \$60 as service charges. Part a: write and equation to represent each conpanys total charges for renting a truck for a certain number of hours. For both equations( one for company a and one for company b ), define the variable used. Part b: which company would charge less for renting a truck for 6 hours? Justify your answer. Part c: how much money is saved by using the services of company b instead of company a to rent a truck for 7 hours?

Company a: 70 plus 4 times (how many hours)
company b: 60\$ plus 5 times (how many hours)
PART A 70+four(x)  B 60+5x
THE VARIABLE REPRESENTS THE HOURS THE TRUCK WAS RENTED
PART B company a charges 9four dollars to rent the truck
company b charges 90 dollars to rent the truck
PART C: you would have to solve the equation like this to find PART C
A: 70+four(7)=98 B: 60+5(7)=95
so the answer for part c would be he saved 3 dollars

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## Which point represents an approximate solution to this system of equations? y=1/x-3 y=3-x³

Which point represents an approximate solution to this system of equations? y=1/x-3 y=3-x³

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## Solve each system of equations y = 3x + 1 4y = 12x + 4

Equation 1)  y = 3x + 1
Equation 2)  4y = 12x + 4

For BOTH equations, we must have x and y on the same side, so simply move the x’s to the other side.

For equation 1, subtract 3x from both sides.

1)  -3x + y = 1

For equation 2, subtract 12x from both sides.

2)  -12x + 4y = 4

Now, multiply ALL of equation 1 by 4 so that both equations have (4y) in them.

1)  4(-3x + y = 1)

Simplify.

1)  -12x + 4y = 4

2)  -12x + 4y = 4

Subtract equations from one another.

0 = 0

Therefore, there are infinite solutions.

~Hope I helped!~