Mathematics High School

HELP ME PLEASE... WILL GIVE BRAINLIEST. WORTH A LOT OF POINTS

Professor M presented the pair of equations shown below:

y = 6x − 10
y = 2x − 2

Part A: Explain to Professor M how you will solve the pair of equations by using either substitution or elimination. Show all the steps you use and write the solution in (x, y) form.

Part B: If she asked you to graph the two equations, at what point will the lines representing the two equations intersect? Explain how you know this.

Answers

Answer 1

Answer:

A) The solution is x = 2 and y = 2

B) The graphs would intersect at the point (2, 2).

Step-by-step explanation:

We start with the system of equations:

y = 6*x - 10

y = 2*x - 2

To solve this, the first step is to isolate one of the variables in one of the equations.

Here we can see that the variable "y" is already isolated in both equations, so we can skip that step.

Now we can "replace" the "y" in one of the equations for the correspondent expression in the other.

we can write:

(6*x - 10) = y

and for the second equation, we know that y = 2*x - 2

So replacing that, we get:

6*x - 10 = 2*x - 2

Now we can solve this for x.

6*x - 2*x = - 2 + 10

4*x = 8

x = 8/4 = 2

Now to find the value of y, we can just input this value of x in any one of the two equations:

y = 6*2 - 10 = 12 - 10 = 2

y = 2*2 - 2 = 4 - 2 = 2

So the solution of the system is:

x = 2, y = 2

B) Because the solution of the system is the ordered pair (2, 2), this means that the ordered pair belongs to the graph of both lines, then we can conclude that these lines will intersect at that point (the one that is common to both lines). Actually, when we have a system of equations, graphing both equations and finding the points where the graphs intersect is one method to estimate the solution of the system.

Related Questions

The graph shows the proportional relationship between the side lengths of a square and its perimeter. Which equation shows the same relationship between the side length and the perimeter of a square? Perimeter of Square P. 32 28 24 P 15 Perimeter (inches) 20 16 12 P1 8 0 2 4 6 8 Side Length (inches) P 418

Answers

Answer:

y=4x

Step-by-step explanation:

Write the equation of linear function

Substitute:

Multiply the monomials:

Rearrange unknown terms to the left side of the equation:

Reduce the greatest common factor on both sides of the equation:

Rearrange unknown terms to the left side of the equation:

Divide both sides of the equation by the coefficient of variable:

Substitute one unknown quantity into the elimination:

Solve the equation: m=4

Write the solution set of the equations:

Substitute: y=4x

Answer: y=4x

Instructions: Find the missing angle measures in the given rhombus.

Answers

I can’t see it broooo

Find the quotient when (4n6 + 8n5 + 10n4 + 8n2) is divided by 2n.

Answers

Answer:=2n5+4n4+5n3+4n

Step-by-step explanation:

Answer:

C. [tex]2n^{5} + 4n^{4} + 5n^{3} + 4n[/tex]

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

14) When did the high temperature occur?
Please help

Answers

Answer:

D; 15

Step-by-step explanation:

Because the highest point on the graph is at 15 (or 3 am), that would be the highest temperature. (Also, none of the other choices make sense; they are all at relatively low temperatures).

the answer to ur question is d.15

The sector COB is cut from the circle with center O. The ratio of the area of the sector removed from the whole circle to the area of the sector removed from the inner circle is R^2/r^2 .

Answers

Answer:

[tex]Ratio = \frac{R^2 - r^2 }{ r^2}[/tex]

Step-by-step explanation:

Given

See attachment for circles

Required

Ratio of the outer sector to inner sector

The area of a sector is:

[tex]Area = \frac{\theta}{360}\pi r^2[/tex]

For the inner circle

[tex]r \to radius[/tex]

The sector of the inner circle has the following area

[tex]A_1 = \frac{\theta}{360}\pi r^2[/tex]

For the whole circle

[tex]R \to Radius[/tex]

The sector of the outer sector has the following area

[tex]A_2 = \frac{\theta}{360}\pi (R^2 - r^2)[/tex]

So, the ratio of the outer sector to the inner sector is:

[tex]Ratio = A_2 : A_1[/tex]

[tex]Ratio = \frac{\theta}{360}\pi (R^2 - r^2) : \frac{\theta}{360}\pi r^2[/tex]

Cancel out common factor

[tex]Ratio = R^2 - r^2 : r^2[/tex]

Express as fraction

[tex]Ratio = \frac{R^2 - r^2 }{ r^2}[/tex]

MARKING BRAINLIEST IF CORRECT + 50 POINTS!!!!

Part A: If (62)x = 1, what is the value of x? Explain your answer. (5 points)

Part B: If (60)x = 1, what are the possible values of x? Explain your answer. (5 points)

pls explain

Answers

Answer:

Part A : 1/62 Part b : 1/60

Step-by-step explanation:

Well lets start with part A

(62)x=1

anything in parenthesis means multiply

62x= 1

divide everything by 62 to get x by itself

x= 1/62

Part A : 1/62

Part B : 60x = 1

x = 1/60

because same reasoning

find the value of x HELP PLS

Answers

Answer:

x= 36

Step-by-step explanation:

both angles together are supplementary and will form 180

Therefore, you know the missing angle can be found by substracting 108 from 180

180 - 108 = 72

72 = 2x

Answer:

36°

Step-by-step explanation:

2x+108°=180°

2x=72°

x=36°

largest possible number that equals 5000 when rounded to one significant figure

Answers

Answer:

four significant digits

Step-by-step explanation:

Find the value of x.

Answers

Answer:

16 = x

Step-by-step explanation:

A triangle has 180 degrees. Use this to solve for x

180=(9x-8)+(x+2)+(x+10)

180 = 9x + x + x - 8 + 2 +10

180 + 8 -2 - 10 = 11 x

176 = 11x

176/11 = x

16 = x

Need helppp........!!!!!!!!!!

Answers

i think b...............................

B, not 100% but it should be the correct answer, try using the app socrastic:)

I need help solving this math problem. 21-3+18÷6

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

18 divided by 6 equals 3

21 minus 3 equals 18

18 plus 3 equals 21

Use the diagram below. If m∠3 = 60°, find m∠4.

Answers

The answer is 44 degree.

Answer:

120

Step-by-step explanation:

The given Histogram shows the salaries of the employees of Acme Corporation. What is the total number of employees in Acme Corporation?

A. 210
B. 300
C. 140
D. 100

Answers

The answer is A.210

Because you have to add all the numbers together in the chart.

Answer:

A. 210

Step-by-step explanation:

If you add the number of employees on the bar graph you will obtain your answer of 210 employees at Acme Corporation/Apple InfoTech.

Write six hundred seventeen thousand two hundred five in scientific notation.
A. 6.1720x 10^4
B. 6.17205x 10^5
C. 6.17205x 10^-5
D. 6.17x 10^6

Answers

the answer is “b” 6.17205x 10^5

Answer:

c= 15 mi

Step-by-step explanation:

Pythagorean theorem. a^+b^=c^

Square root of that

answer 15

Answer:

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

9^2 + 12 ^2 = c^2

81+144= c^2

225 = c^2

Take the square root of each side

sqrt(225) = sqrt(c^2)

15 =c

What is the vertex of the quadratic function y=-x²+6x+7?

Answers

Answer:

(3,16)

Step-by-step explanation:

Factor the equation to find out that the roots are 7 and -1. The vertex's x will be in the center of these two points, so the center point between 7 and -1 is 3. Continue to substitute the x in the equation with 3 to get the other coordinate for vertex.

Can some one help me answer all ten questions they are due at 10:00 I will give out brainly. Part 2

Answers

HELPP!! PLS PLS
can someone show me a graph of a line going through (-1,2) with a slope of -3/4

Answers

Answer:

We can start at the given point (-1, 2) and move down 3 units and right 4 units to plot the next point. Repeat this for however long you want the line to be.

Hope this helps!

Here is the diagram:

PLEASE HELP!!!! Write a solution for the equation 6x-8=4x

Answers

Answer:

X=4

Hope this helped some.

Answer:

4=X

Step-by-step explanation:

6X-8=4X

-8=-2X

-8/-2= 4X

A factory inspector found 3 defective microchips out of a total of 750
microchips made. Which proportion can be used to predict the number of
defects, x, in a batch of 10,000 microchips?

Answers

Answer:

Option B

Step-by-step explanation:

Proportion of number of defective pieces to the number of microchips in a batch can be represented by the ratio = [tex]\frac{\text{Number of microchips not in good condition}}{\text{Total numbers of microchips}}[/tex]

If 3 microchips are defective in a batch of 750 microchips,

Proportion = [tex]\frac{3}{750}[/tex]

If 'x' chips are defective in a batch of 10000 microchips,

Proportion = [tex]\frac{x}{10000}[/tex]

If both the proportions are equal,

[tex]\frac{3}{750}=\frac{x}{10000}[/tex]

Therefore, Option B will be the answer.

Which is grater and I don’t need any links please and thank you

Answers

-4 is greater since its negative then what you would call a smaller number is always greater

Answer:

-4

Step-by-step explanation:

i would pick ice cream though

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