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.

Part B: What is the solution to the pair of equations?

can it also be simple

Answers

Answer 1

Answer:

Part B: [tex]\displaystyle [1, 2][/tex]

Part A: Set both equation equal to each other by Substitution, since our y-values are already given to us.

Step-by-step explanation:

6x - 4 = 5x - 3

- 6x + 3 - 6x + 3

____________

[tex]\displaystyle -1 = -x; 1 = x[/tex]

Plug this coordinate back into the above equations to get the y-coordinate of 2.

y = mx + b [where b is the y-intercept and the rate of change (slope) is represented by m]

[tex]\displaystyle y = 5x - 3; [0, -3]; 5 = m \\ y = 6x - 4; [0, -4]; 6 = m[/tex]

I am joyous to assist you at any time.


Related Questions

Simplify 4+(-3)-2x(-6)

Answers

Answer:

13

Step-by-step explanation:

Use the order of operations.

First multiplication next addition and subtraction (from left to right).

4 + (-3) - 2 × (-6)

= 4 - 3 + 12

= 1 + 12

= 13

(-)(-) = (+)

(+)(-) = (-)(+) = (-)

(+)(+) = (+)

Answer:

13

Step-by-step explanation:

12x+1 = 13

Find the distance between these points. R(-1, 0), S(8, 6)

Answers

ANSWER

[tex]d = 3 \sqrt{13} [/tex]

EXPLANATION

We use the distance formula to find distance between two points.

[tex]d = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2} [/tex]

The two points are R(-1, 0) and S(8, 6).

We substitute the points into the formula to get:

[tex]d = \sqrt{(8 - - 1)^2 +(6-0)^2} [/tex]

[tex]d = \sqrt{(9)^2 +(6)^2} [/tex]

[tex]d = \sqrt{81+36} [/tex]

[tex]d = \sqrt{117} [/tex]

[tex]d = 3 \sqrt{13} [/tex]

Therefore the distance between the two points is [tex]3 \sqrt{13} [/tex] units.

Answer:

The distance between these points = 3√13

Step-by-step explanation:

Points to remember

Distance formula

Length of a line segment with end points (x1, y1) and (x2, y2) is given by,

Distance = √[(x2 - x1)² + (y2 - y1)²]

It is given two points R(-1, 0) and  S(8, 6)

To find the distance

Here, (x1, y1)  = (-1, 0) and (x2, y2) = (8, 6)

Distance = √[(x2 - x1)² + (y2 - y1)²]

= √[(8 - -1)² + (6 - 0)²]

= √[(8+1)² + (6)²]

 =√[(9)² + (6)²]

 = √[(81 + 36)]

 =√117 = √(3 * 3 * 13)

 = 3√13

The distance between these points = 3√13

What lengths would allow you to calculate the volume of the oblique pyramid with a square base? Check all that apply. AB and EF AC, CB, and EF AC and EF AD, DB, and EF AD, DC, and EF

Answers

Answer:

A. AB and EF

B. AC, CB, and EF

D. AD, DB, and EF

Step-by-step explanation:

The lengths would help  you to calculate the volume of the oblique pyramid are:

AB and EF AC, CB, and EF. AD, DB, and EF

What is an Oblique pyramid?

An oblique pyramid is known to be a type of shape that is often known as 'right pyramid'.

Note that its shape is one that has the ap.ex "is shaped" to one side and as such the options that can best explain the volume of the oblique pyramid is the ones written above.

Learn more about oblique pyramid from

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A restaurant used 15 pounds of ground beef to make hamburgers for the day. How many burgers did they make if each burger is 6 ounces? (16 ounces = 1 pound) Explain your answer and show all conversions.NEED ANSWERS TODAY BECAUSE IT DUE TOMORROW!!

Answers

They were able to make 40 burgers with it

Answer: 40 hamburgers

Step-by-step explanation:

15 pounds x 16 ounces=240 ounces of hamburger meat

Each burger is 6 ounces 240 divided by 6= 40 hamburgers

A store donated cases of crayons to a daycare center. Each case holds 24 boxes of crayons; each box holds 8 crayons. How many crayons did the center receive?

Answers

In order to find out the total number of crayons, you multiply the number of cases by the number of boxes per case, and then by the number of crayons per box. Assuming the store donated 5 cases, the daycare center received a total of 960 crayons.

To determine how many crayons the daycare center received from the store, we need to multiply the number of cases the store donated by the number of boxes in each case, and then multiply that by the number of crayons in each box. Let's break it down step by step:

Find the total number of boxes by multiplying the number of cases by the number of boxes in each case.Find the total number of crayons by multiplying the total number of boxes by the number of crayons in each box.

Assuming the store donated 5 cases (the number of cases was not specified in the question, so we need to assume a number for this example), here's how you would calculate it:

Total number of boxes = 5 cases * 24 boxes/case = 120 boxesTotal number of crayons = 120 boxes * 8 crayons/box = 960 crayons

Therefore, the daycare center received a total of 960 crayons.

identify the domain and range of the function graphed below

Answers

Answer:

Part 1) The domain is

[tex]x\leq 4[/tex]

All real numbers less than or equal to 4

Part 2) The range is

[tex]y\geq 0[/tex]

All real numbers greater than or equal to 0

Step-by-step explanation:

Part 1) Find the domain

Observing the graph

we know that

The domain is the interval for x ------> (-∞,4]

so

[tex]x\leq 4[/tex]

All real numbers less than or equal to 4

Part 2) Find the range

Observing the graph

we know that

The range is the interval for y ------> [0,∞)

[tex]y\geq 0[/tex]

All real numbers greater than or equal to 0

What is the product of 2x + y and 5x – y + 3? x2 + xy + x + y2 + y

Answers

Answer: [tex]10x^2+3xy+6x-y^2+3y[/tex]

Step-by-step explanation:

You need to remember the Product of powers property:

[tex](a^m)(a^n)=a^{(m+n)}[/tex]

Then, knowing this property, now you have to apply the Distributive property. So:

[tex](2x+y)(5x-y+3)=\\\\=(2x)(5x)-(2x)(y)+(2x)(3)+(y)(5x)-(y)(y)+(y)(3)\\\\=10x^2-2xy+6x+5xy-y^2+3y[/tex]

Finally, to simplify this expression, you need to add the like terms.

Therefore, you get that the product is:

[tex]=10x^2+3xy+6x-y^2+3y[/tex]

Answer:

10 3 6 -1 3

Step-by-step explanation:

x>y, and the difference between x and y is 5. The number x is 1 more than twice the number y.

Answers

Answer:

the answer is d

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Diego's family car holds 18 gallons of fuel. Each day the car uses .8 gallons of fuel. A warning light comes on if the remaining fuel is 1.2 or less.

a. starting from full tank, can Diego's car go 15 days without the warning light turning on?

b. starting from a full tank, can Diego's car drive 20 days without the light coming on?

c. Deigo says that the expression 18-.8t helps him understand, what does T stand for?

d. write and solve an equation to determine the number of days his car can go before the warning light turns on.

e. write and solve an inequality that represents this situation. Explain clearly what the solution to the inequality means in the context of this situation.​

Answers

Answer:

a) yes

b) yes

c)  days

d) equation: 18 - 0.8x =1.2

solution: 21

e)inequality: equation: 18 - 0.8x [tex]\geq[/tex]1.2

solution: x < 21. This means that if he drives for less than 21 days the warning sign won't turn on.

Step-by-step explanation:

a) 18 - 15*0.8 = 6 so yes

b) 18 - 20*0.8 = 18 - 16 = 2

d) 18 - 0.8x =1.2

0.8x = 16.8

x = 16.8/0.8 = 21

Final answer:

a. No, the car cannot go 15 days without the warning light turning on. b. No, the car cannot drive 20 days without the light coming on. c. 'T' in the expression 18 - 0.8t stands for the number of days of fuel usage. d. Diego's car can go 21 days before the warning light turns on. e. The inequality 18 - 0.8t > 1.2 represents the situation.

Explanation:

a. To determine if Diego's car can go 15 days without the warning light turning on, we need to find out how much fuel will be left after 15 days of usage. Each day the car uses 0.8 gallons of fuel, so after 15 days, the car will have used 15 * 0.8 = 12 gallons of fuel. Starting from a full tank of 18 gallons, the remaining fuel after 15 days will be 18 - 12 = 6 gallons. Since the warning light comes on if the remaining fuel is 1.2 gallons or less, Diego's car will not be able to go 15 days without the warning light turning on.

b. To determine if Diego's car can drive 20 days without the light coming on, we follow the same steps as in part a. After 20 days, the car will have used 20 * 0.8 = 16 gallons of fuel. Starting from a full tank of 18 gallons, the remaining fuel after 20 days will be 18 - 16 = 2 gallons. Since the remaining fuel is less than 1.2 gallons, the warning light will turn on before 20 days.

c. In the expression 18 - 0.8t, 't' represents the number of days of fuel usage.

d. To determine the number of days Diego's car can go before the warning light turns on, we need to solve the equation 18 - 0.8t = 1.2. Rearranging the equation, we have 0.8t = 18 - 1.2, which simplifies to 0.8t = 16.8. Dividing both sides by 0.8, we get t = 21. So Diego's car can go 21 days before the warning light turns on.

e. To write an inequality that represents this situation, we can say that the remaining fuel after t days should be greater than 1.2 gallons. This can be expressed as 18 - 0.8t > 1.2. Solving this inequality, we get t < 21. This means that Diego's car can go up to 20 days before the warning light turns on, but on the 21st day, the warning light will turn on.

The sum of two numbers is 40. The second number is 5 less than twice the first number. Let x represent the first number and let y represent the second number. What is the value of the first number? Use the table to guess and check. 15 20 25 30

Answers

Answer:

Step-by-step explanation:

X+2x-5= 40

3x-5=40

+5=+5

3x=45

3x/3=45/3

X=15

Answer:

The value of the first number is 15

Step-by-step explanation:

The sum of two number is 40 would be:

[tex]x+y=40[/tex]

The second number is 5 less than twice the first number would be:

[tex]y=2x-5[/tex]

Now, we can find the value by solving this system of equations, we will isolate x in the first equation, then we replace it in the second equation:

[tex]x=40-y[/tex]

[tex]y=2(40-y)-5\\y=80-2y-5\\y+2y=75\\3y=75\\y=\frac{75}{3}=25[/tex]

Then, we replace this value in one equation of find the other variable:

[tex]x+25=40\\x=40-25\\x=15[/tex]

Therefore, the value of the first number is 15 and the second number is 25.

Select the correct product.

(5m 2 - 2m + 1)(3m - 4)

15m3 - 26m2 + 5m - 4
15m3 - 26m2 + 11m - 4
15m3 - 14m2 + 11m + 4
15m3 - 14m2 - 5m - 4

Answers

Answer: 15m3 - 26m2 + 11m - 4

Greatest Common Factor 1
Find the Greatest Common Factor for each pair of numbers and order then from least (top) to greatest (bottom).

8 & 12
6 & 2
18 & 6
21 & 9

Answers

Answer:

6 & 2

21 & 9

8 & 12

18 & 6

Step-by-step explanation:

What is the circumference of a circle having a radius of 6cm?

Answers

Answer:

12cm.

Step-by-step explanation:

The radius is half of a circe.

6 * 2 = 12.

Answer:

37.68 cm

Step-by-step explanation:

the circumference of a circle  is :   P = 2π r

P= 2×3.14×6 =37.68 cm

Y= 10x - 32 what is the x and y value of this equation

Answers

Answer:

[tex]y=10x-32 \\ \\ x=\frac{y}{10}+3.2[/tex]

Step-by-step explanation:

[tex]y=10x-32[/tex]

Because that's the equation given.

To solve for x, isolate the variable and then divide by the coefficient.

[tex]y=10x-32 \\ \\ 10x=y+32 \\ \\ x=\frac{y}{10}+\frac{32}{10} \\ \\ x=\frac{y}{10}+3.2[/tex]

A math teacher assigns three projects. She gives the students five project options to choose from. How many different groups of projects can students choose from?

Answers

Answer:

15

Step-by-step explanation:

3 options x 5 options = 15 total options

if f(x)=4x+7, which if the following is the inverse of f(x)?

Answers

Answer:f

1/4y +-7/4 is your answer hope this help if it did mark me brainliest

Step-by-step explanation:

Sally’s dog boarding service currently has 2 Great Danes, 8 golden retrievers, 22 mastiffs, and 12 Doberman pinschers. What is that ratio of Doberman pinschers to the total number of dogs at Sally’s boarding service?

Answers

Answer:

3/11

Step-by-step explanation:

First, determine how many dogs are at the boarding service:

2+8+22+12 = 44

Then:

# of Dobermans          12

--------------------------  =  ------- = 6/22 or 3/ 11

     total # of dogs         44

The desired ratio is 3/11.

The length of GJ is 18 inches.

What is the length of GL?


A. 6 in.

B. 9 in.

C. 18 in.

D. 36 in.

Answers

It would B. 9.

Reason to this is because the radius is outlined by line GL. GL is half of the diameter which is GJ.

The answer is B. 9 because GJ is the circumference of the circle and they’re basically asking you to find the radius and the radius is half the circumference and half of 18 is 9 so the answer would be B.

in a 30-60-90 triangle, the length of the side opposite the 30 angle is 8. find the length of the side opposite the 60 angle

Answers

Answer:

[tex]8\sqrt{3}\ units[/tex]

Step-by-step explanation:

Let

x----> the side opposite the 60 angle

Applying the law of sines

[tex]\frac{8}{sin(30)}=\frac{x}{sin(60)}\\ \\x=8*sin(60)/sin(30)\\ \\x=8\sqrt{3}\ units[/tex]

Sam has 2/3 of a piece of poster board. He cuts the poster board into 6 equal size pieces. What part of the whole poster board is each smaller piece?​

Answers

2/3 divided by 6

2/3 times 1/6

1/9

Which represents the solution set of the inequality 5x-9521?

Answers

Answer:

thats just things u needto remember.

Step-by-step explanation:

The expression is not factorable with rational numbers.

5

x

9521

The solution of the inequality {5x < 9521} is given by the inequality → x < 1904.2.

What is inequality?

An inequality is used to compare two or more expressions or numbers.

For example -

2x > 4y + 3

x + y > 3

x - y < 6

Given is to find the solution set of the inequality

5x < 9521

The given inequality is -

5x < 9521

Dividing by {5} on both sides, we get -

(5x/5) < (9521/5)

x < 1904.2

Therefore, the solution of the inequality {5x < 9521} is given by the inequality → x < 1904.2.

To solve more questions on inequality, visit the link-

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A bag of flour weigh 3 lb. If a chef needs 15 lb. of flour, how
many bags of flour should he buy?​

Answers

Answer:

The chef would need 5 bags

Step-by-step explanation:

Because 3 times 5 equals 15

To determine the number of bags of flour the chef should buy, divide the total weight required (15 lb) by the weight of one bag (3 lb), resulting in the need to purchase 5 bags.

To find out how many bags of flour the chef should buy, we need to divide the total weight of flour needed by the weight of one bag. If a bag weighs 3 lb, and the chef needs 15 lb, we calculate it as follows:

Determine the total weight needed: 15 lb.

Determine the weight of one bag: 3 lb.

Divide the total weight by the weight of one bag: 15 lb \/ 3 lb = 5 bags.

Therefore, the chef should buy 5 bags of flour to have a total of 15 lb.

Evaluate 3a2 + 2b when a = -4 and b = 6.

156


48


36


144


60

Answers

156

Explanation:

3 x -4 =-12

-12 x -12 = 144

2 x 6 = 12

12 + 144 =156

Answer:

60

E

Step-by-step explanation:

Givens

a = - 4

b = 6

Formula

3a^2 + 2b

Solution

3(-4)^2 + 2*6

3(16) + 12

48 + 12

Answer: 60

identify the frequency of the graph

Answers

ANSWER

[tex] \frac{1}{2} [/tex]

EXPLANATION

The frequency of a wave function refers to the number of times the graph repeats its cycle within the interval [0,2π]

We can observe explicitly from the graph that the frequency is half.

The period of the given function is 4π

[tex] \frac{2\pi}{b} = 4\pi[/tex]

[tex]b = \frac{2\pi}{4\pi} = \frac{1}{2} [/tex]

Hence the frequency is half.

Ken earned $128 from his part time job this summer he spent 25% of his money on games he is going to donate 1/6 of the remaining money to charity how much money will the charity recieve

Answers

Final answer:

Ken earned $128 from his part-time job and spent 25% of it, leaving him with $96. He then donated 1/6 of the remaining money to charity, which equals $16.

Explanation:

This problem is about percentages and fractions. Ken earned $128 from his part-time job and spent 25% of it on games, which equals <$128 * 25/100 = $32>. So after buying games, Ken is left with <$128 - $32 = $96>. Ken then decides to donate a fraction, 1/6 of the remaining money to charity. To figure out how much he donates, we multiply $96 by 1/6, which is <$96 * 1/6 = $16>. So, Ken donates $16 to charity from his summer job earnings.

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Which is equivalent to (9y2-4x)(9y2+4x) , and what type of special product is it?

Answers

Answer:

81y^4 - 16x^2, difference of squares.

Step-by-step explanation:

So we need to expand the following product:

(9y2-4x)(9y2+4x) = 9y2*9y2 + 4x*9y2 - 4x*9y2 -4x*4x = 81y^4 - 16x^2

And this type of product is the difference of squares.

Answer:

Step-by-step explanation:

The given expression is ( 9y² - 4x) (9y² + 4x)

We will simplify the given expression

(9y² - 4x) (9y² + 4x) = 9y² (9y² + 4x) - 4x (9y² + 4x)  [Distributive property]

= 81y⁴ + 36xy² - 36xy² - 16x²

= (81y⁴ - 16x²)

This simplified form is the difference of squares of terms (9y²) and (4x)

from a balloon 1127 feet high, the angle of depression to the ranger headquarters is 79° 56'. how far is the headquarters from a point on the ground directly below the balloon?​

Answers

Check the picture below.

make sure your calculator is in Degree mode.

How do I solve using quadratic formula?

Answers

Answer:

Step-by-step explanation:

In elementary algebra, the quadratic formula is the solution of the quadratic equation. There are other ways to solve the quadratic equation instead of using the quadratic formula, such as factoring, completing the square, or graphing.

My bro is right good job

What is the sum of the first 10 terms of the sequence defined by an=4n-3

A. 37

B. 190

C. 380

D. 384

Answers

The answer to this is:

B. 190

The sum of the first 10 terms of the sequence an=4n-3 is 190.

The question is asking for the sum of the first 10 terms of the sequence defined by an=4n-3. To find the sum, we first list the first 10 terms by substituting values of n from 1 to 10 into the formula. Thus, for n=1, a1=1(4)-3=4-3=1; for n=2, a2=2(4)-3=8-3=5; and so on until n=10, a10=10(4)-3=40-3=37.

The first ten terms of the sequence are: 1, 5, 9, 13, 17, 21, 25, 29, 33, and 37. The sum of these terms can be calculated as 1+5+9+13+17+21+25+29+33+37 = 190.

graph the following inequality x≥2​

Answers

Answer:

The graph is as attached.

Step-by-step explanation:

Simply draw a line of x = 2 on your graph paper.

That line should be a complete line not dotted line.

Since x is greater than 2, shade the left side of the line because we are interested in the right side (where x is greater and equal to 2)

Answer:

Here, the given inequality,

[tex]x\geq 2[/tex]

Related equation is,

x = 2

Which is the equation parallel to y-axis and passes through (2,0),

Also, 0 ≥ 2 ( False )

The shaded region of the inequality will not contain the origin,

Now, '≥' shows the solid line.

Thus, by the above explanation,

We can graph the given inequality ( shown below )

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