What is the slope of the line described by the equation 6X + 4y= 8

Answers

Answer 1

Answer:

[tex]\large\boxed{\text{The slope}\ m=-\dfrac{3}{2}}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the equation of a line in the standard form:

[tex]6x+4y=8[/tex]

Convert to the slope-intercept form:

[tex]6x+4y=8[/tex]          subtract 6x from both sides

[tex]4y=-6x+8[/tex]           divide both sides by 4

[tex]y=-\dfrac{6}{4}x+\dfrac{8}{4}[/tex]

[tex]y=-\dfrac{3}{2}x+2[/tex]


Related Questions

What is the next term in the pattern? 1,-1,2,-2,3...

Answers

Answer:

Step-by-step explanation: the pattern is going positive to negative and going further away from zero so the next term would be -3

Hey there!

Since, the pattern is going positive then negative repeating then it might repeat itself

1(Positive)

-1 (Negative)



2(Positive)

-2(Negative)



3(Positive)

What comes next?

The answer is mostly going to be a negative number...

Thus, your answer would most likely be:

[tex]-3[/tex]

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

if angle A and B are alternate interior angles, what is the measure of angle B if angle A measures 105°​

Answers

Answer:

75 degrees

Step-by-step explanation:

both the angles must add up to 18.

180 - 105 = 75

105 + 75 = 180

Answer:

105

Step-by-step explanation:

alternate angles are equal

how are expressions and equations different.

Answers

Answer:

Equations are composed for many expressions.

Expressions can indicate variables, constants, etc.

Best regards

Answer:

Step-by-step explanation:

Expressions generally contain literals and may be "evaluated" by subbing the given values of the literal into them.  Expressions may be simplified, including being rewritten in alternative forms.

Equations, on the other hand, involve the " = " symbol.  If a literal, such as x or y, is included in the equation, we can usually solve the equation for that literal, thereby creating a function.

Find the product of 8.24 x 5.88

Answers

Answer:

48.4512

product means the answer so just multiply.

Answer:

it is 48.4512

Step-by-step explanation:

so what i like to do is first step: dont worry about the decimals at the moment so the equation would be 824 x 588. then it is 484,512. Third step is count how many numbers is behind the decimals. There are 4 so move 4 spaces to the left which we get 48.4512. Hope this helps!

Two way table on given data help. I don’t understand how to place it on table.

Answers

Answer:

I don't know either. I'd help if i knew the answer.

Step-by-step explanation:

What is the area of this trapezoid? Please help me.

Answers

Step-by-step explanation:

Area of a trapezoid is 1/2h(b1+b2)

So let's substitute.

1/2*17*(15+27)

1/2*17*42

Answer is 357 cm squared

5. Which third-party wants little to no government interference?
6. Which u.s. parties would likely approve of a plan to help unemployed workers?
7. Which u.s. parties with disapprove of a tax on businesses to clean up the environment?
8. Which u.s. political parties would likely approve of a plan to provide cheaper Healthcare?

Answers

Answer:

Which U.S. political parties would likely approve of a plan to help unemployed workers?

Step-by-step explanation:

1. Communists

2. Democrats

3. Libertarians

4. Republicans

5. Socialists

the answer is 5,3,1

Final answer:

The Libertarian Party wants little to no government interference. The Democratic and Republican parties have different stances on helping unemployed workers, taxing businesses for environmental cleanup, and providing cheaper healthcare.

Explanation:

In the United States, the Libertarian Party is a third-party that wants little to no government interference. They advocate for limited government intervention in both social and economic areas. For example, they support lower taxes, less regulation, and individual freedom.

The Democratic and Republican parties would likely approve of a plan to help unemployed workers. The Democrats often propose policies such as extending unemployment benefits and increasing job training programs, while the Republicans tend to support tax cuts and reducing government regulations to stimulate job growth.

The Democratic party is more likely to approve of a tax on businesses to clean up the environment. They generally advocate for stricter environmental regulations and support policies aimed at reducing pollution. The Republican party, on the other hand, often opposes new taxes and regulations on businesses.

The Democratic party and the Progressive wing of the Democratic party would likely approve of a plan to provide cheaper healthcare. They have been pushing for measures such as expanding Medicaid, implementing a public health insurance option, and decreasing prescription drug prices. The Republican party, however, tends to advocate for free-market solutions and reducing government involvement in healthcare.

How could you correctly rewrite the equation 4(10+5)=6(12-2) using the distributive property?

Answers

40+20=72-12 is how you rewrite it

Final answer:

To correctly rewrite the equation 4(10+5)=6(12-2) using the distributive property, we apply the property to each term inside the parentheses. The equation can be correctly rewritten as 60=60.

Explanation:

To correctly rewrite the equation 4(10+5)=6(12-2) using the distributive property, we apply the property to each term inside the parentheses. Starting with the left side, we have 4(10+5). Using the distributive property, this becomes 4(10) + 4(5) = 40 + 20 = 60. Now, let's apply the distributive property to the right side of the equation. We have 6(12-2), which becomes 6(12) - 6(2) = 72 - 12 = 60. Therefore, the equation 4(10+5)=6(12-2) can be correctly rewritten as 60=60 using the distributive property.

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y is directly proportional to X
When y = 30, x = 6
a) work out an equation connecting y and x.
b) Work out the value of y when x = 12

Answers

Answer:

a. y÷x=5 , b. y=60 because x is increased by 2 times  so y should be increased by 2 times

Step-by-step explanation:

Solve by factoring: X^3+7x^2-x-7=0

Answers

Answer:

[tex]\boxed{\bold{\left(x+7\right)\left(x+1\right)\left(x-1\right)=0}}[/tex]

Step-by-step explanation:

Factor [tex]\bold{x^3+7x^2-x-7}[/tex]

[tex]\bold{\left(x+7\right)\left(x^2-1\right)}[/tex]

Factor [tex]\bold{0}[/tex]

[tex]\bold{0}[/tex]

Rewrite Equation

[tex]\bold{\left(x+7\right)\left(x+1\right)\left(x-1\right)=0}[/tex]

[tex] {x}^{3} + 7 {x}^{2} - x - 7 = 0 \\ \Leftrightarrow {x}^{2} (x + 7) - (x + 7) = 0 \\ \Leftrightarrow ( {x}^{2} - 1)(x + 7) = 0 \\ \Leftrightarrow (x - 1)(x + 1)(x + 7) = 0 \\ \Leftrightarrow x = - 7 \: \vee \: x = - 1 \: \vee \: x = 1[/tex]

PLEASE HELP AS FAST AS POSSIBLE (35 POINTS)
2 QUESTIONS

Answers

Answer:

36 and 32

Step-by-step explanation:

So what you do is look at the radius which is 18. The radius is half the distance. So all you have to do is do 18*2=36.

Same with the other one 16*2=32.

Those are your answers.

write 8.54x10^3 in standard notation

Answers

Answer: The real number is 8540

Step-by-step explanation: 85.4  1000

which of the following is an equvilant form of the compound inequality -44> -2x -8 greater or equal to -8

Answers

-44>-2x-8

Add 8 on both sides

-36>-2x

Divide by -2 dice your x can't be negative

18<x

The sign flips when you divide by a negative. Therefore if the question is a true or false question, the answer would be false

Answer:  18 ≤ x < 0

Step-by-step explanation:

-44 > -2x - 8 ≥ -8

-36 > -2x ≥ 0          added 8 to all three sides

18 < x ≤ 0    divided all three sides by -2 (which flips the inequality signs)

Please help ASAP. I’m confused

Answers

Answer:

y=-5/2x-19/2

Step-by-step explanation:

The vertex of the quadratic equation is (-7,8).

Isolate the variable y for the equation 2x-5y=7

You get y = 2/5x-7/5

The slope we have to find is the inverse of the current slope.

So the slope for the final equation is -5/2.

Then use point slope form to get y - 8 = -5/2 * (x+7)

Then convert it into slope intercept form to get y - 8 = -5/2x - 35/2

Then add 8 to each side to get y=-5/2x-19/2

How many hours does an employee typically need to work before being eligible for overtime hours?
A.
20
B.
30
C.
40
D.
50

Answers

Answer:

Normally it would be 40 and anything over 80 hours in a two-week time frame would be considered OT

Step-by-step explanation:

40 is the required (8 hours for 5 days) so above 40 is considered overtime. Answer is D.

What is the number of possible outcomes if two marbles are picked out of a bag that contains three red marbles and three blue marbles? A) 2 B) 3 C) 4 D) 6

Answers

Answer:

2

Step-by-step explanation:

Answer:

its 3

Step-by-step explanation:

The area of a small square patio is 42 square feet. The length of each side of the patio is √42 feet. Between what two whole-number measurements does √42 feet lie?

A) 4 feet and 5 feet
B) 11 feet and 12 feet
C) 22 feet and 24 feet
D) 528 feet and 530 feet

Answers

Answer:

The answer is A.

Step-by-step explanation:

Because the square root of 42 is about 6 and those two numbers are close to 6.

Hope this helps!

Please mark brainliest!! thanks!

A) 4 feet and 5 feet

What is the area of square ?

The space occupied by a square is called area of the square.

Let, length of each side of the square = a unit

Then, Area of the square = [tex]a^{2}[/tex] sq.unit

What is the required result ?

Given, area of a small square patio = 42 sq. feet

Also the length of each side of the patio = [tex]\sqrt{42}[/tex] feet

The value of [tex]\sqrt{42}[/tex] = 6.48 (approx)

The required value is 6.48 feet, which is close to 4feet & 5feet.

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Which statement is true?

A.all parallelograms are squares

B. A rhombus is a parallelogram

C.all rhombuses are square

D. A trapezoid has two sets of parallel lines

Answers

Answer:

b

Step-by-step explanation:

The true statement is B. A rhombus is a parallelogram. This is true because rhombuses have parallel opposite sides, defining them as parallelograms. The other statements are false due to specific conditions not met by all parallelograms, rhombuses, or trapezoids.

The true statement among the options provided is B. A rhombus is a parallelogram. This is because all rhombuses have opposite sides that are parallel to each other, which is a defining property of parallelograms. Not all parallelograms are squares because a square is a special type of parallelogram where all sides are equal in length and all angles are right angles - a condition not required for a general parallelogram.

Similarly, not all rhombuses are squares since rhombuses do not require all angles to be right angles. Lastly, a trapezoid typically has only one pair of parallel sides, not two, which differentiates it from parallelograms.

To illustrate why a rhombus is a parallelogram, we can consider A1 Constructibility of parallelograms: Given any three points P, Q, and R, there exists a point S such that quadrilateral PQRS is a parallelogram. In a rhombus, all four sides are of equal length - satisfying the conditions of a parallelogram, which requires only that opposite sides be parallel and of equal length.

When it comes to the diagonals of a rhombus being perpendicular, we use the concept of the scalar or dot product of vectors. The diagonals bisect each other at right angles because the dot product of the vectors representing the diagonals equals zero, indicating that they are perpendicular to each other. This fact further underscores the relationship between rhombuses and parallelograms and their distinct geometric properties.

What is the value of n in the equation below?

Answers

Answer:

12

Step-by-step explanation:

We can use the property of exponents  [tex]\frac{a^b}{a^c}=a^{b-c}[/tex]  over here.

Let's use this property to write:

[tex]\frac{a^n}{a^3}\\=a^{n-3}[/tex]

This is equal to a^9, hence, n - 3 = 9. Let's solve for n:

[tex]n-3=9\\n=9+3\\n=12[/tex]

n = 12

Answer:

option C

12

Step-by-step explanation:

Given in the question an expression

[tex]\frac{a^{n} }{a^{3} }=a^{9}[/tex]

To solve for n we will use rules of exponent

cross multiply

[tex]a^{n}=a^{9}a^{3}[/tex]

apply product rule

[tex]a^{n}=a^{9+3}[/tex]

[tex]a^{n}=a^{12}[/tex]

Apply logarithm on both sides of equation

[tex]lna^{n}=lna^{12}[/tex]

apply power rule of logarithm

nln(a) = 12ln(a)

ln(a) will cancel out on each side so we are left with

n= 12

Which of the following could be the equation of F(x)?

Answers

Answer is A because it’s moved 2 to the right which makes it x-2 and it’s moved 1 down so -1 and it needs to be -x because it’s facing down so the answer is A

Answer:

Option A. f(x) = -(x - 1)² - 1

Step-by-step explanation:

After the transformation of g(x) = x², vertex of the red parabola f(x) is (2, -1).

Therefore, equation of the parabola in the vertex form will be

f(x) = (x - 2)² - 1

Since opening of the parabola is downwards so the function will be

f(x) = - (x - 2)² - 1

This function matches with option A.

6x -5y=5. 3x+5y =4 The X coordinate Of the solution to this system of equations is blank

Answers

Answer:

y=1/5

Step-by-step explanation:

6x-5y=5

3x+5y=4

we are now going to multiply the second equation by -6

6x-5y=5

-2(3x+5y=4)

so it becomes

6x-5y=5

-6x-10y=-8

the 6 can cancels out so it becomes  -15y=-3

divide both sides by -15

y=1/5

Answer:

The X coordinate is X = 1

Step-by-step explanation:

See the image

What is the radius of a circle with the equation (x − 3)2 + (y − 7)2 = 9? A) 3 B) 4.5 C) 6 D) 9

Answers

[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (x-\stackrel{h}{3})^2+(y-\stackrel{k}{7})^2=9\implies (x-\stackrel{h}{3})^2+(y-\stackrel{k}{7})^2=\stackrel{r}{3^2}~\hfill \begin{cases} center~(3,7)\\ radius=3 \end{cases}[/tex]

Final answer:

The radius of the circle with the equation (x − 3)² + (y − 7)² = 9 is found by taking the square root of 9, which is 3. Therefore, the correct answer is A) 3.

Explanation:

The question asks to find the radius of a circle given its equation. The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. Comparing this with the given equation (x − 3)² + (y − 7)² = 9, we see that the value of r² is 9.

Therefore, the radius r of the circle is the square root of 9, which is 3.

Hence, the correct answer is A) 3.

What’s the area of the triangle?

Answers

Answer:

A=75 cm

Step-by-step explanation:

The formula of the area of a triangle is A=bh/2.

A=(15)(10)/2.

A=150/2

A=75 cm is your answer.

Answer:

A=75 cm

Step-by-step explanation:

A=bh/2 is the formula for the area of a triangle

1) Multiply 15 the base and the height 10 first

A=(15)(10)

A= 150 cm

2) divide 150cm by 2

A=150/2

A=75 cm is your answer.

Hopes this helps My friend!

Owen and Ethan have $175 together. How much money does each of them have if Ethan has $33 more than Owen?

Answers


If Ethan has $33 more than Owen then the first thing you would do is subtract $33 from $175 and you get $142 . Then you divide $142 by 2 and you get $71. The you add $33 to $71 and you get your answer which is $104. Because $104 plus $71 is $175.

FINAL ANSWER :
Ethan has $104 and Owen has $71.

What is the total cost of a $704 tablet computer that is on a sale at 11% off the local sales tax rate is 4%

Answers

Answer: $654.72

Step-by-step explanation:

11 percent of $704 is $77.44  -  (11*704/100)

You do $704-$77.44 because it is on sale.

Equalling $626.56

4 percent of $704 is $28.16 - (4*704/100)

Add $28.16 to 626.56 because your being taxed.

Equalling $654.72 your answer

Final answer:

The total cost of the $704 tablet computer, after an 11% discount and 4% sales tax, is $651.62.

Explanation:

To find the total cost of the $704 tablet computer, we first need to calculate the sale price after the 11% discount. The discount amount can be found by multiplying the original price by 11% (or 0.11). So, the discount amount is $704 * 0.11 = $77.44. The sale price is then $704 - $77.44 = $626.56.

Next, we need to calculate the sales tax amount. The sales tax rate is 4%, so the tax amount is $626.56 * 0.04 = $25.06.

Finally, to find the total cost, we need to add the sale price and the sales tax amount together. Therefore, the total cost of the $704 tablet computer, including the discount and sales tax, is $626.56 + $25.06 = $651.62.

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Which inequality is shown in this graph

Answers

ANSWER

[tex]y \leqslant - 2x - 2[/tex]

EXPLANATION

The boundary line passes through (-2,2) and (0,-2).

The slope of this line is

[tex]m = \frac{ - 2 - 2}{0 - - 2} [/tex]

[tex]m = \frac{ - 4}{2} = - 2[/tex]

The y-intercept is , c=-2.

The slope-intercept form of this line is given by;

[tex]y = mx + c[/tex]

We substitute values to obtain;

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

Since the lower half-plane is shaded the required inequality is

[tex]y \leqslant - 2x - 2[/tex]

A complete probability model is described by which of the following statements? A. A list of all possible outcomes in the sample space and their probabilities B. The actual outcomes of a trial C. The number of trials conducted D. The difference between the theoretical and experimental probabilities of all outcomes

Answers

A complete probability model provides a framework for calculating the likelihood of events within an experiment or a process. When we talk about a complete probability model, we are referring to a comprehensive description that includes all necessary components to understand and predict outcomes within a probability space.

Let's look at each option and determine which one correctly describes a complete probability model:

A. A list of all possible outcomes in the sample space and their probabilities.
- **This option is correct because a complete probability model does indeed require a list of all possible outcomes (the sample space) and the probability associated with each outcome.** Every outcome must be accounted for, and the sum of the probabilities of all individual outcomes must equal 1. This is because the sample space encompasses every possible outcome that could occur, and their associated probabilities reflect the likelihood of each of these outcomes.

B. The actual outcomes of a trial.
- This option is incorrect because the actual outcomes of a trial are observational results from a single execution of the probability experiment and do not represent a comprehensive model. A complete probability model is theoretical and does not depend on individual trial results, even though it can predict the distribution of those results over many trials.

C. The number of trials conducted.
- This option is incorrect. The number of trials refers to the experimental aspect of probability where an experiment or process is repeated multiple times. It does not provide a model of the entire probability space, only empirical data based on these repetitions.

D. The difference between the theoretical and experimental probabilities of all outcomes.
- This option is incorrect as it refers to the concept of variance between what is expected theoretically and what is observed in practice. While this can be a useful measure for understanding how closely an experiment follows its theoretical predictions, it is not a description of a complete probability model itself.

Given the options, the correct answer is:
A. A list of all possible outcomes in the sample space and their probabilities.

This is the definition of a complete probability model as it provides the necessary information to fully describe the probability of events within a given context.

In 2005 there were 14000 students at college A, with a projected enrollment increase of 750 students per year. In the same year there were 35000 students at college B with a projected enrollment decline of 1000 students per year. According to these projectors when will the colleges have the same enrollment? What will be the enrollment in each college at that time

Answers

Answer:  in 12 years (2017)

               23,000 students enrolled

Step-by-step explanation:

Let x represent the number of years since 2005.

Let y represent the number of students enrolled.

College A: y = 14,000 + 750x

College B: y = 35,000 - 1000x

Solve the system using the Substitution Method:

14,000 + 750x = 35,000 - 1000x

           +1000x               +1000x

14,000  + 1750x = 35,000

-14,000                 -14,000

                1750x = 21,000

                        x = 12

Input x = 12 into one of the equations to solve for y.

y = 35,000 - 1000x

  = 35,000 - 1000(12)

  = 35,000 - 12,000

  = 23,000

Final answer:

Explanation on when two colleges will have the same enrollment and what the enrollment will be at that time.

Explanation:

Step 1: Set up equations for the enrollment at each college over time. Let x be the number of years since 2005:

College A enrollment = 14000 + 750x

College B enrollment = 35000 - 1000x

Step 2: Set the two equations equal to each other:

14000 + 750x = 35000 - 1000x

Step 3: Solve for x to find when the colleges will have the same enrollment:

x = 10 years

Step 4: Substitute x back into the equations to find the enrollment at each college after 10 years:

College A enrollment = 14000 + 750(10) = 21500 students

College B enrollment = 35000 - 1000(10) = 25000 students

Help I’m not sure how to answer this

Answers

Answer:

option A is the correct choice

Step-by-step explanation:

The trigonometric equation you are using has a general form

y = A* tan w*(x - r)

Where

A is the amplitude of the function

w is the frequency rad/s

r  is the phase shift

In your case

A = 2

B = w = 3

r = pi/2

y = 2* tan 3*(x - pi/2)

What is the value of x?​

Answers

Answer:

x = 5

Step-by-step explanation:

In this problem, the angles are vertical, which mean that they are congruent.

So we can set them equal to each other and solve.

13x + 19 = 84

Subtract 19 from both sides.

13x = 65

Divide each side by 13

x = 5

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