What is the equation of a line written in point-slope form that passes through the point (2,-5) and is parallel to the line represented by 3x -2y = -14?

Answers

Answer 1

Answer:

y=3/2x-8

Step-by-step explanation:

The slope of a line parallel to 3x-2y=-14 will be equivalent to the slope of this equation.

Rewrite the given equation in Slope/Intercept Form y=mx+b to get the slope m.

3x-2y=-14

2y=3x+14

divide both sides by 2 to solve for y.

y=(3x+14)/2

y=3/2x+7

slope m =3/2

Now that we have found the slope of our equation, we can put it into point-slope form : y-y1=m(x-x1) 2=x1 -5=y1

y--5=3/2(x-2)

y+5= 3/2x-3

subtract 5 from both sides to solve the equation for y

y=3/2x-8


Related Questions

Hemp help help math math

Answers

Answer:3 or 6 over 2

Step-by-step explanation:

The formula is y2-y1

-------- =

x2-x1

y2=30 y1=24. X1=8. X2=10

So you do 30 minus 24 to get 6 and 10-8 to get 2 and yhen you will get the fraction of 6/2 so when you divde it your final answer will be 3

Which graph shows a function and it’s inverse?

Answers

Answer:

C. PO

Step-by-step explanation:

SURE PO AKO DYAN PA BRAINLEST PO

TAMA PO TALAGA YAN

Please I need help with this

Answers

180° in a triangle.
One angle is given 40°
Another angle can be found by 180-102=78°
180-78-40=62°
62+x=180
x=118°

10,260 words/minute = words/second

Answers

Answer:

171

Step-by-step explanation:

Find the value of x in the figure.

Answers

It’s also 64 because the angles are congruent

x = 64

since , it is vertically opposite

A parking garage charges $1.76 for the first hour and $0.50 for each additional hour or part of an hour. What is the maximum length of timo Tom can park in the garage if he wishes to pay no more than $2.76?

Answers

Answer: 3 hours

Step-by-step explanation:

A firm has the following fixed proportion production function q = min(k, 2l). a. Find the firms long-run total, average, and marginal cost functions. b. Suppose that k is fixed at 20 in the short run. Calculate the firms short-run total, average, and marginal cost functions. c. Suppose v = 1 and w = 3. Calculate this firms long-run and short-run average and marginal cost curves. Q4. A firm’s production function is given by q = 2z1 + 3z2. Given the input prices, w1 for z1 and w2 for z2. a. Find the input demands z1 and z2 minimizing the cost of producing the level of output q. b. Find the cost function for producing the level q.​

Answers

Answer:

I think its right

Step-by-step explanation:

a) In the long run, we have, 5k=10 and k=2l Thus, C=2l+3l= 5l=0.5q Thus, AC=5l/10l =0.5 MC=0.5 b) In the short run, k=10 Q=min(50,10l) If l<5, q=10l. C=10+3l= 10+0.3q Thus, AC=10/q + 0.3 If l>5, q=50. C= 10+3l AC= (10+3l)/50 If q>50, then MC...

Jimena runs 2/3 of a mile in 1/6 of an hour. how far can she go in an hour?

Answers

Answer:

4 miles

Step-by-step explanation:

6*(1/6) = 1 hour

6*(2/3) = 4 miles

Answer:

4 miles

Step-by-step explanation:

You are finding the rate. The formula for this equation is Rate=Distance/Time.

Your distance is 2/3, and your time is 1/6.

You divide 2/3 by 1/6 to get your answer of 4

What is the eighth term of the arithmetic sequence defined by the rule A(n) = -12 + 2(n-1)?

Answers

Tn = a + d * (n-1)

T8 = -12 + 2*7

= -12 +14

= 2

A movie theater charges $9.75 per ticket. Monday through Thursday they make on average $2720.25 daily. How many
customers do they have on an average Tuesday?
a. 279 customers
c. 70 customers
b. 272 customers
D. 26552 customers

Answers

Answer:

Your anwser would be A mark brainliest please and thank you

Step-by-step explanation:

Noah starts with 0 and then adds the number 5 four times. Diego starts with 1 and then multiplies by the number 5 four times. For each expression, decide whether it is equal to Noah’s result, Diego’s result, or neither.

Answers

Answer:

Diego's result is the same as Noah's result.

Step-by-step explanation:

Noah: 5+5+5+5=20

Diego: (1x5) + (1x5)+(1x5)+(1x5)= 20

What is the equation of a line that is parallel to y = -2x + 1 and passes through the point (3, -2)?

Answers

Answer:

y=-2x+4

Step-by-step explanation:

Since it is parallel, it has to have the same slope m=-2. Just use the equation y-y=m(x-x) to solve the equation of the line.

[tex]y-y_0=m(x-x_0)\\y-(-2)=-2(x-3)\\y+2=-2x+6\\y=-2x+4[/tex]

its suppolsy the hardest question in math

Answers

Answer:

E

Step-by-step explanation:

[tex]\sqrt{\dfrac{64}{49}} = \dfrac{\sqrt{64}}{\sqrt{49}} = \dfrac 87[/tex]

Answer:

E

Step-by-step explanation:

A golfer takes an uphill shot towards the hole, and they make the shot. The path of the ball can be modeled by the equation y=-5^2– 40x– 10, where x is the horizontal distance and y is the vertical distance traveled by the ball in meters. How much higher is the hole than the spot from where the shot was taken? The hole is meters higher What was the maximum height above the hole that the ball reached while it was in the air? meters The maximum height that the ball reached above the hole was What was the horizontal distance that the ball traveled from the point that the shot was taken to the hole? Round your ai the nearest tenth of a meter. meters. The horizontal distance covered by the ball was​

Answers

Answer:

Solve for n

n=log5  (− 2 /y  −20x−5),y<−40x−10

Step-by-step explanation:

Use the Fundamental Theorem of Calculus to find y′. pls help

Answers

Use This Since You provided no context:

The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating the gradient) with the concept of integrating a function (calculating the area under the curve). ... This implies the existence of antiderivatives for continuous functions.

Read Fred's conclusion. If the sum of the digits of a number is a multiple of 3. then the number is a multiple of 6. Which statement best summarizes Fred's conclusion? The conclusion is true.

A .The number 42 is an example The conclusion is true.
B There are no counterexamples The is false.
C There are no counterexamples. The conclusion is false.
D The number 45 is a counterexample​

Answers

Answer:

the answer would be a because 42÷6=7 and 42÷3=14.

The correct answer is option A) The number 42 is an example The conclusion is true.

42 is a multiple of both 3 and 6.

How many does multiple mean?

Containing more than once, or more than one; consisting of more than one; manifold; repeated many times; having several, or many, parts.

What is a multiple in math?

A multiple in math is the number you get when you multiply a certain number by an integer. For example, multiples of 5 are: 10, 15, 20, 25, 30…etc. Multiples of 7 are: 14, 21, 28, 35, 42, 49…etc.

Learn more about multiple here: brainly.com/question/251701

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what are the first 6 numbers of pi

Answers

Step-by-step explanation:

3.141592653............

The following represents the inflation rates of foreign country X for the past 5 years:

Year 1: 35%

Year 2: 20%

Year 3: 25%

Year 4: 30%

Year 5: 15%

Which statement is correct about the selection of a functional currency for country X at the end of year 5.





a.
Country X is highly inflationary; the US dollar must be used



b.
Country X is highly inflationary; the foreign currency must be used



c.
Country X is not highly inflationary; the US dollar must be used



d.
Country X is not highly inflationary; either the US dollar or the foreign currency may be used depending on the factors to determine the functional currency





e.
Country X is not highly inflationary; the foreign currency must be used

Answers

Answer:

year 3:25 A,C,E

Step-by-step explanation:

Examine the figure. What is the measure of angle b?

Answers

B = 180-31

B = 149

Answer: 149

3. West Fremont is a community consisting of 3,000 homes. A small coal-burning power plant currently supplies electricity for the town. The capacity of the power plant is 12 megawatts


(MW) and the average household consumes 8,000 kilowatt hours (kWh) of electrical energy each year. The price paid to the electric utility by West Fremont residents for this energy is $0.10 per kWh. The town leaders are considering a plan, the West Fremont Wind Project (WFWP), to generate their own electricity using 10 wind turbines that would be located on the wooded ridges surrounds the town. Each wind turbine would have a capacity of 1.2 MW and each would cost the town $3 million to purchase, finance, and operate for 25 years.



(a) Assuming that the existing power plant can operate at full capacity for 8,000 hrs/yr, how many kWh of electricity can be produced by the plant in a year?



(b) At the current rate of electrical energy use per household, how many kWh of electrical energy does the community consume in one year?



(c) Assuming that the electrical energy needs of the community do not change during the 25-year lifetime of the wind turbines, what would be the cost to the community of the electricity supplied by the WFEP over 25 years? Express your answer in dollars/kWh.

Answers

Power is the rate of doing work, and the power of the generating plant or

turbine and the duration of generation, gives the energy generated.

The correct responses are;

(a) 96 × 10⁶ kWh(b) 24 × 10⁶ kWh(c) 0.05 dollars/kWh

Reasons:

Number of homes in the town = 3,000 homes

The given capacity of the power plant = 12 MW = 12,000 kW

Power consumed by a household = 8,000 kWh per year

The price for electrical energy = $0.10 per kWh

Number of wind turbines = 10

WFWP = The West Fremont Wind Project

Capacity of each wind turbine = 1.2 MW

Cost of each wind turbine for 25 years = $3 million

(a) Number of hours of operation of the power plant = 8,000 hrs/yr

Required:

The amount of kWh of electricity produced in a year by the plant.

Solution:

The energy produced = Power × Time

∴ The energy produced = 12,000 kW × 8000 hr = 96,000,000 kWh

Therefore;

The energy produced by the plant in a year, E = 96 × 10⁶ kWh

(b) Energy consumed = Energy consumed per home × Number of homes

Therefore;

Energy consumed = 8,000 kWh/home × 3,000 homes = 24,000,000 kWh

The energy the community consumes in one year = 24 × 10⁶ kWh

(c) The cost per kWh = $0.10

The cost, C, of the energy per year is therefore

C = 24,000,000 kWh × $0.10/kWh = $2,400,000

The cost for 25 years = 25 × C = 25 × $2,400,000 = $60,000,000

The number of wind turbines = 10

Cost per wind turbine = $3 million

Total cost to operate the 10 wind turbine = $3 million × 10 = $30 million

Energy consumed = 24,000,000 kWh

Therefore;

24,000,000 kWh × 25 = $30 million

[tex]\displaystyle 1 \ kWh = \frac{\$ 30 \ million}{25 \times 24,000,000 \ kWh} = \mathbf{\$0.05/kWh}[/tex]

The cost to the community of the electricity supplied by WFWP over 25 years is $0.05/kWh.

Learn more about energy and power here:

https://brainly.com/question/24592300

Solve the proportion where necessary, round to the nearest hundredth 12/13 = X/13

Answers

Answer:

12

Step-by-step explanation:

12 / 13 = x / 13

Cross Multiply,

12 * 13 = 13 * x

x = ( 12 * 13 ) / 13

x = 12

slope y-intercept form of an equation for a line that has an x-intercept of "-3" and goes through (-2,2)

Answers

Answer:

y=2x+6.

Step-by-step explanation:

1) the condition 'an x-intercept of "-3"' means the point A with the coordinates (-3;0), then it is possible to make up the required equation according to the rule (the coordinates (-2;2) belong to the point B):

[tex]2) \ \frac{x-X_B}{X_A-X_B}=\frac{y-Y_B}{Y_A-Y_B}, \ where \ X_A=-2;Y_A=2;X_B=-3;Y_B=0.[/tex]

after the substitution the coordinates into the rule:

[tex]\frac{x+3}{-2+3} =\frac{y-0}{2-0}; \ => \ \frac{x+3}{1}=\frac{y}{2}; \ => \ y=2x+6.[/tex]

Find two numbers the quotient is between . Then estimate quotient. 41 divided by 3

Answers

Answer:

13.6

Step-by-step explanation:

The quotient is the outcome of a division problem so it is what 41 divided by  3 equals. Which it equals 13.666 in short 13.6

Please help me!!!!!!!!!

Answers

Answer:

y=25x+1150

Step-by-step explanation:

1425-1275=150

150/6=25 so 25 dollars per month

1275-5(25)

1275-125=1150

y=25x+1150

Shayna pays 20 for 5 bottles of juice. What is the unit price for the bottles of juice?

Answers

20/5 = 4
therefore the unit price for the bottles of juice is 4

6+√27/4-√3 can be written in the form r +s√3/13
where are both r and s integers
what are the values of r and s

Answers

[tex]r = \left(\dfrac{33}{13}\right)[/tex]

[tex]s = \left(\dfrac{10}{13}\right)[/tex]

Step-by-step explanation:

Let's multiply and divide the given fraction by the conjugate of the denominator:

[tex]\dfrac{6+\sqrt{27}}{4-\sqrt{3}}×\dfrac{4+\sqrt{3}}{4+\sqrt{3}}[/tex]

[tex]\;\;\;\;= \dfrac{24 + 6\sqrt{3} + 4\sqrt{3} + \sqrt{27}\sqrt{3}}{13}[/tex]

[tex]\;\;\;\;=\frac{1}{13}(24 + 10\sqrt{3} + \sqrt{81})[/tex]

[tex]\;\;\;\;=\frac{1}{13}(33 + 10\sqrt{3})[/tex]

[tex]\;\;\;\;=\left(\dfrac{33}{13}\right) + \left(\dfrac{10}{13}\right)\dfrac{\sqrt{3}}{13}[/tex]

We can see here that

[tex]r = \left(\dfrac{33}{13}\right)[/tex]

[tex]s = \left(\dfrac{10}{13}\right)[/tex]

The value of the variable 'r' and 's' will be 33 and 18, respectively.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The two equations are given below.

(6 + √27) / (4 - √3) and  (r + s√3) / 13

Simplify the expression (6 + √27) / (4 - √3), then we have

[tex]\rightarrow \dfrac{6 + \sqrt{27}} { 4 - \sqrt3} \times \dfrac{4 + \sqrt3} { 4 + \sqrt3} \\\\[/tex]

⇒ [(6 + 3√3)(4 + √3)] / (4² - 3)

⇒ [(24 + 6√3 + 12√3 + 9)] / (16 - 3)

⇒ (33 + 18√3) / 13

Compare the expression (33 + 18√3) / 13 with (r + s√3) / 13, then the value of r and s will be given as,

r = 33

s = 18

The value of the variable 'r' and 's' will be 33 and 18, respectively.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Jimmy has 26,387
dollars for every of toys
he sells. how much
money will he make
for 10 toys?

Answers

Answer:

263,870

Step-by-step explanation:

Answer:

263,870

Step-by-step explanation:

You have 26,387 then you will multiply it by 10 and you'll get 263,870

Guys I need your help

There are 16 ounces in 1 pound John is mailing a package that weighs 10 pounds he wants to know the weight of the package in 1 ounce complete the statement to describe how to convert pounds to ounces to find weigh in ounces blank the number of pounds by unit rate blank ounces per pound

Answers

Answer:

multiply

16

Step-by-step explanation:

yeah-ya....... right?

2. Dominique baked 4 dozen muffins. She wants to put the muffins in packages of 6.
How many packages will she have?
A 6
(B 8
© 10
0 24
E 288

Answers

Answer:

24 packages

Step-by-step explanation:

One dozen is 12, so 4 x 12 = 24

3. Find to the nearest thousandth: log7 80

Answers

Answer:

I believe 1000

Step-by-step explanation:

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