A pair of equations is shown below: y = 6x − 4 y = 5x − 3 Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points) Part B: What is the solution to the pair of equations? (4 points)

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

A  Since both equations are in slope intercept form, we can plot  the y intercept for each equation and the use the slope to draw lines.  The see where the lines intersect.

y = 6x − 4  slope is 6 , y intercept is (0,-4)

y = 5x − 3   slope is 5  y intercept is (0,-3)

They intersect at (1,2)

A Pair Of Equations Is Shown Below: Y = 6x 4 Y = 5x 3 Part A: In Your Own Words, Explain How You Can
Answer 2

Answer:

Part A: solve by graphing the 2 equations and finding the places they intersect, those points will be the solutions. The slope for the first equation is 6 and the slope of the second equation is 5.

Part B: The solution is x=1, or (1, 2)

Step-by-step explanation:

Part A: The solution of a pair of equations can be found graphically by graphing them and finding the intersection point, because that is when they are equal.

To find the slope, it is the coefficient of the x in the equation, so 6 and 5.

Part B: Set the equations equal to each other

(6x-4)=(5x-3)

x-4= -3

x=1


Related Questions


6. What is a reasonable temperature to cook a chicken?
a) 100°F b) 200°F c) 300°F d) 400°F​

Answers

Answer:

200°F

Step-by-step explanation:

165 degrees Fahrenheit is the safe internal temperature for both the white meat and dark meat.

Answer:

The answer might be B. I hope this helps please tell me if right or wrong.

Step-by-step explanation:

Solve this inequality.
8x + 6 < 54
A. x < 6
B. x < 7.5
C.x < 14
D. x < 384​

Answers

Answer:

x < 6

Step-by-step explanation:

8x + 6 < 54

Subtract 6 from each side

8x+6-6 < 54-6

8x < 48

Divide each side by 8

8x/8 < 48/8

x < 6

What is the answer for this for a graph 3j>6

Answers

First divide both sides of the inequality by 3.

On the left, the 3's cancel and you're left with j

and on the right, 6 divided by 3 is 2.

So we have j >2 which is the solution to this inequality.

I have graphed the inequality for you below.

Start with an open dot on 2.

We use an open dot because j > 2 but it is not equal to 2.

Then draw an arrow to the left to

represent all numbers greater than 2.

Simplify expression. Use the distributive property. :)
14-2(4x+3y)

Answers

Explanation:

14-2(4x+3y)
14-8x-6y. Distributive Property

Answer:

14-8x-6y

Answer cannot be simplified more

Event A: lands on yellow.
Event B: lands on green.

Events A and B are a0 events.

Answers

Answer:

1/16

Events A+B are written (P) yellow : 1/4 * (P) green : 1/4

Ao event = (P) 1/4 * 1/4 = 1/16

Step-by-step explanation:

The probability of event A and event B is 1/16.

We have given that,

Event A: lands on yellow.

Event B: lands on green

Events A+B are written  

yellow(P) = 1/4 * (P) green= 1/4

What is the meaning of probability?

Probability is defined as the likelihood of something occurring or the chance of something happening.

Ao event (P)=1/4 * 1/4

Event = 1/16

Therefore the probability of event A and event B is 1/16.

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A truck can be rented from Company A for $120 a day plus $0.70 per mile. Company B charges $80 a day plus $0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer:

200 miles

Explaination:

in order to fiind the point of interaction you must put the world problem into an liner equation.

y=mx+b

key:

miles : x

y= 0.70x + 120

&

y= 0.90x + 80

now you put them together

0.70x + 120 = 0.90x + 80

-0.70x. -0.70x

____________________ subtract slope from both sides

120 = 0.20x + 80. ( doesn't matter which one)

-80 - 80

____________________ subtract

40 = 0.20x

_________ Divide each # with the slope

0.20 0.20

200 = x

hope this helps!

Find two numbers that differ by 8 and whose square roots differ by 1. Those two numbers are ___ and ____

Answers

Answer: 12.25 and 20.25

Step-by-step explanation:

20.25 - 12.25 = 8

Square root of 20.25 is 4.5

Square root of 12.25 is 3.5

4.5 - 3.5 = 1

Hope this helped

find the slope of the line that passses thruogh 1,5 and 10,9

Answers

Answer:  The slope is 4/9  or -4/-9.

Step-by-step explanation:

(1,5)  

(10,9)   Find the difference in the y values and divide it by the difference in the x values.

5-9= -4

1- 10= -9

-4/-9= 4/9

so the slope is 4/9  

Using the slope we could also find the y-intercept and write the equation.

5=4/9 (1) + b    where b is the y-intercept

  5= 4/9 + b

-4/9   -4/9

b= 41/9  

Now we will have the equation  y= 4/9 + 41/9

What is the solution to the equation 1/4x +2= -5/8x - 5

Answers

Answer:

x = -8

Step-by-step explanation:

1/4x +2= -5/8x - 5

Add 5/8x to each side

1/4x +5/8x +2= -5/8x+5/8x - 5

1/4x+5/8x +2=  - 5

Subtract 2 from each side

1/4x+5/8x +2-2=  - 5-2

1/4x+5/8x =  - 7

Get a common denominator

1/4 *2/2 x + 5/8x = -7

2/8x + 5/8x = -7

7/8x = -7

Multiply each side by 8/7

8/7x * 7/8x = -7 *8/7

x = -8

Answer:

x=-8

Step-by-step explanation:

1/4x+2=-5/8x-5

find l.c.m=8

multiply through by l.c.m which is 8

x/4×8+2×8=-5x/8×8-5×8

2x+16=-5x-40

2x+5x=-40-16

7x=-56

divide both sides by 7

7x/7=-56/7

x=-8

The table of values represents the function g(x) and the graph shows the function f(x).
Which statement about the functions is true?
1. f(x) and g(x) are both absolute value functions.
2. f(−2) is greater than g(−2) .
3. f(x) and g(x) intersect at exactly two points.
4. f(x) is greater than g(x) for all values of x.

Answers

Answer:

2 and 3 are true

Step-by-step explanation:

1. Although f(x) is in fact an absolute value function and g(x) never goes below 0, g(x) is not an absolute value function because it does not grow linearly. This is known because, between even x intervals, the y value does not change the same amount.

2. f(-2)=2, and g(-2) is 1, meaning that this statement is in fact correct.

3. For this part, it would probably be a good idea to figure out the equation of both graphs. For g(x), starting at the line of symmetry at x=-3, y is 0, which means that the parabola has not been shifted up or down at all, and that its vertex is at (-3,0). Since it grows at the same rate as the parent function of a parabola, its graph is (x+3)^2. For f(x), you can see that it is an absolute value shifted left 3 and up 1, giving it an equation of |x+3|+1. Now, I've graphed both of them below, and you can see that they intersect at exactly two points, making this statement true.

4. Once again, the graph is helpful here. You can see that although f(x) starts off greater, g(x) with its exponential growth quickly overtakes it. Therefore, this statement is false.

Hope this helps!

Answer:

2 and 3

Step-by-step explanation:

A rectangular lot is 50 meters wide and 90 meters long. Give the length and the width of another rectangular lot that has the same perimeter but a larger area.

Answers

Answer:

Length = 80 metres and Width = 60 metres.

Step-by-step explanation:

Given

Length = 90m

Width = 50m

Required

Dimension of another rectangle with the same perimeter but larger area;

Perimeter of a rectangle is calculated as thus;

[tex]Perimeter = 2(Length + Width)[/tex]

Substitute: Length = 90m and Width = 50m

[tex]Perimeter = 2(90m+ 50m)[/tex]

[tex]Perimeter = 2(140m)[/tex]

[tex]Perimeter = 280m[/tex]

Area of a rectangle is calculated as thus;

[tex]Area = Length * Width[/tex]

Substitute: Length = 90m and Width = 50m

[tex]Area = 90m * 50m[/tex]

[tex]Area = 4500m^2[/tex]

So, the implication of this question is to get a rectangle whose perimeter is 280m and area is greater that 4500m²

Using trial by error method;

Assume length of a rectangle is 80m;

This means the width must be 60m

Calculating the perimeter

[tex]Perimeter = 2(80m+ 60m)[/tex]

[tex]Perimeter = 2(140m)[/tex]

[tex]Perimeter = 280m[/tex]

Calculating the area

[tex]Area = 80m * 60m[/tex]

[tex]Area = 4800m^2[/tex]

Since, the area of this rectangle is greater than the area of the previous rectangle. we can adopt this dimension.

Length = 80 metres and Width = 60 metres.

Note: There are other dimensions that have higher area and exact perimeter as the given rectangle in the question;

There are 3 balls in a hat; one with the number 1 on it, one with the number 6 on it, and one with the number 7 on it. You
pick a ball from the hat at random and then you flip a coin. Using a tree diagram, obtain the sample space for the
experiment.
Question Progres
izzes

Answers

Answer:

coin: ball:

1

head -- 6

7

1

tail -- 6

7

The required Sample space = {(h, 1), ( h, 6) (h ,7 ), ( t, 1 ), ( t, 6 ), ( t, 7 )}.

Given that,
There are 3 balls in a hat; one with the number 1 on it, one with the number 6 on it, and one with the number 7 on it. You pick a ball from the hat at random and then you flip a coin. Using a tree diagram, To obtain the sample space.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

a coin has 2 sample space = {H , T}
H = head and T = tail
a hat with three balls has sample space {1, 6, 7}
Now, a ball picks from the hat at random and then flips a coin
Sample spaces
              H                    T
      -----------------    ---------------
      1       6      7      1      6    7
Implies
Sample space = {(h,1), (h,6) (h,7), (t,1), (t,6) (t,7)}

Thus, the required Sample space = {(h,1), (h,6) (h,7), (t,1), (t,6) (t,7)}.

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A linear function has a graph in the shape of a 1____. A non-linear function 2_____ have the same value added to or subtracted from the dependent variable.

1. A. U
B. S
C. Line

2. A. Does
B. Does not

Answers

Answer :

A linear function has a graph in the shape of a line

A non-linear function does not have the same value added to or subtracted from the dependent variable

Step-by-step explanation:

A linear function is any function that graphs to a straight line.

So, The shape of linear graph is straight line .

1) A linear function has a graph in the shape of a ____

Answer : C . Line

Thus A linear function has a graph in the shape of a line

A nonlinear function is a function that is not linear. That is, for a fixed change in the independent variable, there is NOT a corresponding fixed change in the dependent variable

Non-linear means the graph is not a straight line. The graph of a non-linear function is a curved line.

2) A non-linear function 2_____ have the same value added to or subtracted from the dependent variable

Answer B : Does not

Thus A non-linear function does not have the same value added to or subtracted from the dependent variable

Vivian worked 19 hours more than Malik last month. If Vivian worked 7 hours for every 2 hours that Malik worked, how many hours did they each work? Note: these are proportion problems

Answers

Answer:

Malik 7.6

Vivian 26.6

Step-by-step explanation:

Vivian is working at the rate of 7hrs per 2 hours so basically 3.5hrs per hour Malik worked. In equation, it looks like:

V=3.5m where M is the number of hours Malik worked.

We know Vivian works 19 more hours than Malik and that in equation would be:

m+19 = V

So equate the two

3.5m = m+19

3.5m-m=19

2.55m=19

m=7.6

V=7.6+19 = 26.6

a) Form an inequality in terms of x

b) Solve the inequality to find the possible width of the field

Answers

Answer: x<6m+4yt

Step-by-step explanation:

How many 6 packs of soda do jace and jake need to buy if each person has one soda?

Answers

Jace and Jake will need to buy (3) 6 packs of soda if each person will have one

Answer:

3 6 pks are required

Step-by-step explanation:

There are 14 people at the party

14 = 6x  where x is the number of 6 pks

Divide each side by 6

14/6 = 6x/6

2 1/3 = x

Since we cannot buy part of a 6 pk, we round up

3 6 pks are required

distance between (2,3) and (6,8)

Answers

Answer: [tex]\sqrt{41}[/tex]

Step-by-step explanation:

[tex]d=\sqrt{(6-2)^2+(8-3)^2} =\sqrt{4^2+5^2}=\sqrt{41}= 6.403124237432849[/tex]

Write (2y^2)^3 without exponents.


Answers

Answer:

Step-by-step explanation:

(2y²)³=2³×y^6=8y^6

=8×y×y×y×y×y×y

What is the perimeter of ΔWXY? 11.57 cm 12.22 cm 12.46 cm 14.50 cm


°ω°

Answers

Answer:

the answer is 14.50 cm

Step-by-step explanation:

i took the test, and found this answer by multiplying the given information: 2.93, 2.04, and 2.28 by 2 and then adding them together. that will then give you 14.5. i did it this way because we are dealing with midsegments in this problem. this is just my way of doing it. have a great day!

Answer:

D. 14.50 cm

Step-by-step explanation:

question in attachment

Answers

Answer:

a₁ = 3

Step-by-step explanation:

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

Here [tex]S_{6}[/tex] = 189 and r = 2, thus

[tex]\frac{a_{1}(2^{6}-1) }{2-1}[/tex] = 189, that is

a₁( 64 - 1) = 189

63a₁ = 189 ( divide both sides by 63 )

a₁ = 3

The given Stem-and-Leaf Plot displays the daily number of people who attended a 10-day carnival. What is the mean of the given data set? A. 69.7 people per day B. 71 people per day C. 65 people per day D. 70 people per day

Answers

Answer:

71 people per day for this qst

Answer:

the answer is actually A. 69.7

Step-by-step explanation:

i took the test a lot of times to get the answer

please ansswer need help sorting these

Answers

The answer is -4.4, -2 1/2, -.5, 1/2, 1.5, 3.8

Explanation:

If we converted all the numbers to decimals it would look like this:

1.5 = 1.5
1/2 = .5
-2 1/5 = -2.5
-.5= -.5
3.8 = 3.8
-4.4 = -4.4

Then you would just arrange them from least to greatest starting with -4.4 and ending with 3.8.

Hope this helps!

How many solutions does the equation 3x-10(x+2)=13-7x

Answers

Answer:

No solution

Step-by-step explanation:

1. Multiply the parenthesis by -10

2. Collect like terms

3. Cancel equal terms

4. You're left with -20=13, which is false. There is no solution.

Determine whether these two triangles are congruent with the ASA congruence method. If so, write the congruence statement. answers: A) ΔFED ≅ ΔGFE B) ΔDEF ≅ ΔGEF C) The triangles aren't congruent using ASA. D) ΔDEF ≅ ΔGFE

Answers

Answer:

D) ΔDEF ≅ ΔGFE

Step-by-step explanation:

For ASA to be used, 2 angles and their included side must be congruent. ∠F ≅ ∠E because of the markings, ∠E ≅ ∠F because all right angles are congruent, and side FE ≅ EF because they are aligned with each other. 2 angles and their included side are congruent.

As for the congruence statement, D is the right answer because ∠D ≅ ∠G, ∠E ≅ F, and ∠F ≅ ∠E.

I hope this helps :))

ΔDEF ≅ ΔGFE are congruent with ASA. Option D is correct.

Given that,
Two triangles are given with a common side EF whose alternate interior angles are also equal .i.e ∠E = ∠F and also are of 90° in ΔDEF and ΔGFE respectively.

What are Similar triangles?

Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

What is congruent geometry?

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

Here,
In ΔDEF and ΔGFE
∠DEF = ∠GFE (both are of  90°)
   EF = EF        (common side)
∠DFE = ∠GEF (alternate interior angle)
Hence  ΔDEF ≅ ΔGFE are congruent by ASA.

Thus, ΔDEF ≅ ΔGFE are congruent with ASA. Option D is correct.

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someone pls help mee

Answers

Answer:

-1/2

Step-by-step explanation:

The formula for slope is: y1-y2/x1-x2

The points given are: (x coordinate, y coordinate)

In the formula,

y1 is the y coordinate of the first point

y2 is the y coordinate of the second point

x1 is the x coordinate of the first point

x2 is the x coordinate of the second point

This said, we can plug our points in.

5-(-1)/-3-9

Simplify.

5+1/-12

6/-12

Divide both the numerator and denominator by -6.

-1/2

Anita took off in her helicopter from 129 meters below sea level.She later landed at a location 539 meter above

Answers

Answer:

668

Step-by-step explanation:

She starts at 129 below sea level so she has to travel 129 to get to sea level then she ends at 539 so she has to travel 539 to get to 539 above so we add both numbers to get the answer

Answer:

668

Explanation:

To solve this problem, add 539 and 129 meters together.

539 + 129 = 668

Therefore, 668 represents Anita's change in altitude.

In the figure, BE||CD. Solve for x. Show your work.

Answers

Answer:

Answer is x = 15

Answer is given below with explanations.

Step-by-step explanation:

[tex]in \: the \: figure \: BE || CD \\ by \: thales \: theorem \\ \frac{AE}{ED} = \frac{AB}{BC} \\ on \: substituting \: the \: values \: from \: the \: figure \\ \frac{9}{6} = \frac{x}{10} \\ \frac{3}{2} = \frac{x}{10} \\ x = \frac{3 \times 10}{2} \\ x = \frac{30}{2} \\ x =15 \\ [/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Factor 4x2 - 16 using difference of two squares.

Answers

Answer:

4(x+2)(x-2)

Step-by-step explanation:

4x^2-16

4(x^2-4)

4(x+2)(x-2)

The difference of two squares formula is (a+b)(a-b), and it happens only when a^2 is minus b^2

So, 4x^2 − 16 = (2x + 4)(2x − 4).

Explanation:

4x2^ − 16 is of the form a^2 − b^2 (where a = 2x, b = 4), and as per the identity:

a^2 − b^2 = (a + b)(a − b)

So, 4x^2 − 16 = (2x + 4)(2x − 4)

Kareem has a pencil that is 13.5 centimeters
ong and a crayon that is 87.5 millimeters
ong. How many millimeters longer is
the pencil than the crayon?
(1 centimeter = 10 millimeters)

Answers

47.5 millimeters longer

The pencil is 47.5 millimeters longer than the crayon.

To find out how many millimeters longer the pencil is than the crayon, we need to convert the length of the pencil from centimeters to millimeters and then subtract the length of the crayon.

Given that length of the pencil = 13.5 centimeters

Length of the crayon = 87.5 millimeters

To convert centimeters to millimeters, we use the conversion factor: 1 centimeter = 10 millimeters.

So, the length of the pencil in millimeters is:

13.5 centimeters × 10 millimeters/centimeter = 135 millimeters

Now we can calculate the difference in length between the pencil and the crayon:

Length of the pencil - Length of the crayon = 135 millimeters - 87.5 millimeters

Subtracting the lengths, we find that the pencil is:

135 millimeters - 87.5 millimeters = 47.5 millimeters longer than the crayon.

Therefore, the pencil is 47.5 millimeters longer than the crayon.

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CAN 10/12 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO

CAN 7/16 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO

CAN 2/9 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO

CAN 1/8 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO

Answers

Answer:

No

Yes

No

No

Step-by-step explanation:

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