Mathematics High School

Find the y-intercept and x-intercept of the line.

5x - 4y = 15

y-intercept: __


x-intercept: __

Answers

Answer 1
5x - 4y = 15

x-intercept: y = 0
5x = 15
x = 3
so x-intercept: (3, 0)


y-intercept: x = 0
-4y = 15
y = -15/4
so y-intercept: (0, -15/4)

answer
x-intercept: (3, 0)
y-intercept: (0, -15/4)

Related Questions

If y varies directly with x and y = 10 when k = 10, what is the value of x?

Answers

y = k *x
y=10 ; k=10

10 = 10*x
x = 10/10 = 1

x =1


The hypotenuse of a right triangle is 3 times as long as the shorter leg. find the measure of the angle between the shorter leg and the hypotenuse

Answers

Let α be the angle between the shorter leg and the hypotenuse
shorter leg = x
hypotenuse = 3x

[tex]cos \alpha = \cfrac{x}{3x} = \cfrac{1}{3} \ \ \to \alpha \approx70.5^o[/tex]

The measure of the angle between the shorter leg and the hypotenuse,    [tex]\theta[/tex] = 70.53 °

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

Given that:

Let us consider the shorter leg be 'x'.

and, the Hypotenuse be '3x '.

Using trigonometric functions,

[tex]cos \theta= \frac{Base}{Hypotenuse}[/tex]

cos [tex]\theta[/tex] = x /3x

cos [tex]\theta[/tex] = 1/3

 [tex]\theta[/tex] = [tex]cos^{-1}[/tex] (1/3)

  [tex]\theta[/tex] = 70.53 °

Hence,  the measure of the angle between the shorter leg and the hypotenuse  70.53 °

Learn more about Trigonometric function here:

https://brainly.com/question/14746686

#SPJ2

A quadratic equation is shown below:

25x2 + 10x + 1 = 0

Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. (5 points)

Part B: Solve 4x2 − 4x + 1 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. (5 points)

Answers

hello : 

help :
the discriminat of each quadratic equation : ax²+bx+c=0 ....(a ≠ 0) is :
Δ = b² -4ac
1 )  Δ > 0  the equation has two reals solutions : x =  (-b±√Δ)/2a
2 ) Δ = 0 : one solution : x = -b/2a
3 ) Δ < 0 : no reals solutions

Which property is demonstrated by this equation? 3 + 2x = 2x + 3

Answers

Commutative Property is  moving the numbers around

answer Commutative Property
Hey Buddy!

The commutative property is demonstrated in your equation. 

An example of this property could be: a+b = b+a or 23+15 = 15+23.
It is the result of changing the order of the operands without changing the result. (whether sum, difference, product, or quotient)

Hope this helps! (Don't forget Brainliest!) :)

What is the length of diagonal ac in parallelogram ABCD if the diagonal BD = 10cm which is twice the diagonal AC?

Answers

Final answer:

The length of the diagonal AC in parallelogram ABCD is 5 cm.

Explanation:

Given that the diagonal BD is twice the length of diagonal AC, we can represent the length of diagonal AC as x. So, the length of diagonal BD would be 2x. From the given information, we know that BD = 10 cm. Therefore, we can write the equation 2x = 10 to solve for x. Dividing both sides of the equation by 2 gives x = 5. So, the length of diagonal AC is 5 cm.

Learn more about Length of diagonal in parallelogram here:

https://brainly.com/question/14632881

#SPJ12

Final answer:

In the given parallelogram, the length of the diagonal AC is 5 cm, given that the length of the diagonal BD is twice that of AC.

Explanation:

The question pertains to the properties of a parallelogram. In this case, it has been provided that diagonal BD (10 cm) is twice the length of the other diagonal AC. This implies that the length of diagonal AC is half the length of BD. Therefore, to find the length of AC, take the length of BD and divide by 2:

AC = BD / 2 = 10 cm / 2 = 5 cm

So, the length of diagonal AC is 5 cm.

Learn more about Parallelogram here:

https://brainly.com/question/32033686

#SPJ6

The original value of the car is $18,000 and it depreciates by 50% each year what is the value of the car after three years

Answers

value = 18000*(1-0.50)^3 = 2250

value after 3 years = $2250

The formula is
A=p (1-r)^t
A the value of the car after 3 years?
P current value 18000
R rate of depreciation 0.5
T time 3years
A=18,000×(1−0.5)^(3)
A=2,250

HELP!!!!
Use the following data set and a separate piece of paper to make a line plot that will help you to answer questions 2-7.
(6, 4, 4, 5, 1, 8, 10, 7, 8, 6, 6, 7, 5, 4, 6)
Add a box and whisker plot to the graph. Clearly mark the ends of box by drawing vertical lines and labeling their values on the horizontal axis. What are the ends of the box and whisker plot?

A. 1 and 6

B. 4 and 7

C. 4 and 8

D. 5 and 7

Answers

1,4,4,4,5,5,6,6,6,6,7,7,8,8,10

minimum = 1
Q1 = 4
Q2 (median) = 6
Q3 = 7
maximum = 10

The beginning and end of the " box " are Q1 and Q3.....4 and 7

at right is graph of this situation predict how the line would change to present the average cost of gas in dicember of 2005 when gas cost $2.20 per gallon on average

Answers

The average cost represents the slope of the line of the graph.
Increasing the slope of the graph increases the steepness of the line.
Therefore, increasing the average cost of gas from $1.50 to $2.20 will increases the steepness of the line. (i.e. the line becomes closer to the vertical line).

Two pools are being filled with water. To start, the first pool contains 2200
liters of water and the second pool contains 1840
liters of water. Water is being added to the first pool at a rate of 21.25
liters per minute. Water is being added to the second pool at a rate of 32.5
liters per minute.
(PLEASE ANSWER QUICK)


Answers

2200 + 21.25X = 1840 +32.50X

subtract 1840 from each side

360+ 21.25X= 32.50X

subtract 21.25x from each side

360=11.25X

x= 360/11.25 = 32 minutes pool will have the same amount

 

21.25*32 = 680+2200 = 2880 liters

32.5*32 = 1040 + 1840=2880 liters

 

 it will take 32 minutes and they will have 2880 liters each


at maximum speed, an airplane travels 1680 miles against the wind in 5 hours. Flying with the wind, the plane can travel the same distance in 4 hours.

Answers

The speed of the airplane with the wind is 420 mph, and against the wind is 336 mph. The speed of the wind is 84 mph.

To find the speed of the wind, we use the following formulas:

Against the wind, the airplane travels 1680 miles in 5 hours. So, the speed against the wind is : [tex]\( S_a = 1680 \div 5 = 336 \)[/tex] mph

With the wind, the airplane travels the same distance of 1680 miles in 4 hours. So, the speed with the wind is: [tex]\( S_w = 1680 \div 4 = 420 \)[/tex]mph

Let W be the speed of the wind.

Against the wind: [tex]\( S_a = S_w - W \)[/tex]

[tex]\[ 336 = 420 - W \]\[ W = 420 - 336 = 84 \][/tex]

So, the speed of the wind is 84 mph.

1/2(6x-4)=2/3x How do i solve this?

Answers

Apply distributive property.

3x-2=2/3x

Multiply all terms by 3 so we won't have to deal with fractions.

9x-6=2x

Subtract 9x from both sides

-6=-7x

Divide both sides by -7

x= 6/7

Final answer: x=6/7

Use 1% or 10% to estimate 8% of 310

Answers

We can obtain 8% of a value by finding the 10% of the value and subtract 2% of the value

10% of 310 = 310÷10 = 31
1% of 310 = 310÷100 = 3.1
2% of 310 = 2×3.1 = 6.2

8% of 310 = 31 - 6.2 = 24.8

I need help with all of these

Answers

13. "Colinear" -> "on the same line" -> A,B,E
14. "Coplanar" -> "on the same plane" -> B,C,D,E
15. Planes are name by 3 non-colinear points --> Plane ACE

18. Two points -> G &F
       A line -> Line GF
19. Plane T and Plane S

Joseph pays $20 for his base phone in addition to the $0.10 per text. Micki pays $10 for her phone plan plus the $0.15 per text. Write a function for Joesph's phone plan and for Micki's phone plan.

Provide the number of text messages in which the plans are the same plan.

Answers

j=20+0.1t

m=10+0.15t

They wil cost the same when m=j so we can say:

10+0.15t=20+0.1t, subtract 0.1t from both sides

10+0.05t=20  subtract 10 from both sides
 
0.05t=10  divide both sides by 0.05

t=200

So when one texts 200 times, both plans cost the same amount.
Final answer:

By using the equations Cj = 20 + 0.10x for Joseph's phone cost and Cm = 10 + 0.15x for Micki's phone cost, we find their costs would both be the same if 200 text messages were sent.

Explanation:

The question is asking us to create an equation for both Joseph's and Micki's texting plans. In mathematical terms, the cost for each plan would be represented by the equation Cost = base rate + (cost per letter)x, where x represents the number of texts.

So for Joseph, the equation would be Cj = 20 + 0.10x and for Micki the equation would be Cm = 10 + 0.15x.

To find out when both plans cost the same, we set the two equations equal to each other and solve for x.

20 + 0.10x = 10 + 0.15x  

By subtracting 0.10x from both sides and then subtracting 10 from both sides we get:  

x = 200.

This means that both plans would cost the same if both parties sent 200 texts.

Learn more about mathematical equation here:

https://brainly.com/question/29514785

#SPJ12

ROUND 43.0810194943 TO THE NEAREST TEN-THOUSANDTH HELP!

Answers

43.0810
Since the hundred thousandths is a 1 which is less than a 5, you have to round down.
43.0810 is the answer. The ten thousandths is always four numbers after the decimal.

D: region D helppppppppp

Answers

you only hace to change x equal 0 and y equal 0, answer is D

Suppose a rectangular garden has a length of 3c + 15 feet and a width of 4c feet. write an expression for the area of the garden in square feet.

Answers

A = L * W

A = 4c(3c + 15)
A = 12c^2 + 60c <==

The area of the rectangle is given by the equation A = 12c² + 60c

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as A

Now , the equation will be

Let the length of the rectangle L = ( 3c + 15 ) feet

Let the width of the rectangle W = 4c feet

Now , the area of the rectangle A = length of the rectangle L x width of the rectangle W

Substituting the values in the equation , we get

Area of Rectangle A = ( 3c + 15 ) ( 4c )

On simplifying the equation , we get

Area of Rectangle A = ( 3c ) ( 4c ) + 15 ( 4c )

Area of Rectangle A = 12c² + 60c

Therefore , the value of A is 12c² + 60c

Hence , the area of the rectangle is A = 12c² + 60c

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ5

What is the length of a square

Answers

That would depend on how big or small the square is. 

Two cards are drawn at random from a standard deck of cards without replacement. What is the probability that both cards will be from the clubs suit?

Answers

Answer:

The answer is 1/17.

Step-by-step explanation:

You will draw one club which will be 13/52. You will NOT replace it so you will draw a second card 12/51.

You will need to multiply them to find the probability.

First simplify your two fractions.

13/52 = 1/4   AND  12/51= 4/17

Multiply the two together and you will get 4/68 = 1/17

Hope this helps :)

A solution of phosphoric acid has a boiling point of 158 degrees Celsius. What is the boiling point of the solution in degrees Fahrenheit?

Answers

Final answer:

The boiling point of a phosphoric acid solution that is 158 degrees Celsius is 316.4 degrees Fahrenheit. This is found by using the formula F = C * 9/5 + 32.

Explanation:

To convert the boiling point of a solution from degrees Celsius to Fahrenheit, we use the formula F = C * 9/5 + 32, where F represents the temperature in Fahrenheit and C represents the temperature in Celsius.

In this case, the temperature in Celsius that you want to convert is 158 degrees. So you can substitute this value in the formula as follows:

F = 158 * 9/5 + 32

When you perform the calculation, you find that the boiling point of the phosphoric acid solution is 316.4 degrees Fahrenheit.

Learn more about Temperature Conversion here:

https://brainly.com/question/30451535

#SPJ12

Find the surface area of each figure to the nearest tenth. Show your work, please

Answers

Pyramid surface area (total): Lateral surface area + Base area

Lateral surface area = [tex] \frac{2p*a}{2} [/tex] where p is the base perimeter and a the apothem.

The base is a sqaure so, find the area of the square.

Base Area = 16*16 = 256 in²

Calculate the perimeter = 16*4 = 64 in

LSA = (64*17)/2 = (64*17)/2 = 1088/2 = 544 in²

TSA = 544+256 = 800 in²

Total surface of cone: LSA + Base Area

LSA = πra

Let's find the apotheme. Apply Pitagora, again the hypothenuse is the apotheme. The legs are the radius and the height.

a = √8²+3² = √64+9 = √73 ≈ 8,5 in.

Base area (area of the circle) = πr² = 3²*π = 9π in²

LSA = 3*8,5*π = 25,5π in²

TSA = 25,5π+9π = 34,5π = 34,5*3,14 = 108,3 in²

Determine the number of possible triangles, abc, that can be formed given c = 85°, a = 10, and c = 13.

Answers

To get the possible triangle that be formed with a triangle whose dimensions are C=85, a=10 and c=13, we need to calculate for the values of the angles. Using sine rule:
a/sin A=c/sin C=d/sin D
thus the value of angle A will be:
10/sin A=13/sin 85
10/sin A=13.05
sin A=10/13.05
sin A=0.7663
A=arcsin 0.7663
A=50
thus the n=value of angle B will be:
B=180-(85+50)
=45
The triangle formed will be an acute triangle
General rule is a<bsinA means no triangle is possible, a=bsinA means 1 triangle is possible and a>bsinA means 2 possible triangles

.help me with this please thanks

Answers

i would say B . 
They are not like terms because they are not all the same

Find the sum of the geometric sequence. (1 point) 1, one divided by two, one divided by four, one divided by eight, one divided by sixteen

Answers

GP = 1/2 , 1/4 , 1/8 , 1/16
1st) the common ratio is (1/4 : 1/2 ) = 1/2, so r =1/2
2nd) the sum of a GP is:

S= a(1-rⁿ)/(1-r)

S=(1/2).[1-(1/2)⁴]/(1-1/2) = 15/16

Answer:

31/16

Step-by-step explanation:

Draw a model to represent the problem 6/12 divided by 1/4

Answers

The expression 6/12 divided by 1/4 is 2 and the model is attached

Drawing a model to represent the problem

From the question, we have the following parameters that can be used in our computation:

6/12 divided by 1/4

This can be expressed as

6/12 multiplied by 4

So, we have

0.5 multiplied by 4

When the product is evaluated, we have

2

Hence. 6/12 divided by 1/4 is 2 and the model is attached

Find the product of (2x + 5y)2.

Answers

4x +10y is the product of (2x+5y)2
Distribute 2 to 2x and 5y using PEMDAS to get 4x+10y

5x - 10y = 15 if 3x + 7y = 31

Answers

5x - 10y = 15...reduces to x - 2y = 3
3x + 7y = 31

x - 2y = 3....multiply by -3
3x + 7y = 31
---------------
-3x + 6y = -9 (result of multiplying by -3)
3x + 7y = 31
---------------add
13y = 22
y = 22/13

x - 2y = 3
x - 2(22/13) = 3
x - 44/13 = 3
x = 3 + 44/13
x = 39/13 + 44/13
x = 83/13

solution is (83/13, 22/13) <=
3(5x-10y=15)-5(3x+7y=31)

15x-30y-15x-35y=45-155

-65y=-110

y=22/13, making 3x+7y=31 become

3x+154/13=31

39x+154=403

39x=249

x=83/13

So the solution to the system of equation is the point (83/13, 22/13)


ROUND 3.05947821031 TO THE NEAREST WHOLE NUMBER HELP

Answers

3 because the next number to the right is a 0 and will not be rounded up.
3.05947821031
^
whole number

if 3.xxx... < .5, round to 3.
If 3.xxx... > or = .5, round to 4.

Because .059 < .5, it is therefore rounded to 3.

a 23 gram sample of a substance thats a by-product of fireworks has a K-value of .13. whats the substances half life in days

Answers

Given:
Initial mass, m₀ = 23 g
Decay constant, k = 0.13

Exponential decay obeys the equation
[tex]m(t)=m_{0} e^{-kt}[/tex]
where t = time, days

For half life, the mass is m = m₀/2.
Therefore
[tex]e^{-0.13t} = \frac{1}{2} \\ -0.13t = ln(0.5)\\t= \frac{ln(0.5)}{-0.13} =5.33[/tex]

Answer: The half life is 5.33 days

Answer:

5.3 is the right answer.

Step-by-step explanation:

express 3/4, 7/16,and 5/8 with the LCD

Answers

The LCD (lowest common denominator) is the lowest common denominator of two or more fractions.

4 = 2²
16 = 2⁴
8 = 2³

Take common and non-common factors with highest exponent.

So LCD = 16

The new dneominator of all fractions is 16. Divide this number for the original denominators and multiply for numerator...

16/4 = 4
4*3 = 12

3/4 = 12/16

16/16 = 1
1*7 = 7

7/16 = 7/16

16/8 = 2
2*5 = 10

5/8 = 10/16
Other Questions
Which property is illustrated in this problem?33 + 0 = 33 How does the structure of a cell suggest its function? list three examples? The bearing of a ship from a lighthouse was found to be n14 degrees14e. after the ship sailed 7.27.2 miles due south, the new bearing was n31 degrees31e. find the distance between the ship and the lighthouse at each location. Considering the ending of the story, the plot structure of The Circuit most resembles a _____. biblical story circle heros journey pyramidbiblical storycircleheros journeypyramid The department of transportation appropriations act of 2000 standardized the maximum legal limit for alcohol intoxication while driving at __________ bac. Aturdir, bocina, tiro, tubera, manchado, carecer de, semforo, balbucear, trozo, diario, quiosco, manzana, a propsito, alimentar, hogar, autopista, dotado, nuera, avaro, compartir, andn, espantoso, manta1. En ese __ se vende toda clase de revistas y peridicos.2. La madre cubri a su hijo enfermo con dos __ a causa del fro.3. Cuando los padres de Jos supieron que su hijo oba a casarse, le dijeron que queran conocer a su future ___4. Por la ____ entre las dos ciudades circulaban muchos cochese5. Esa mujer no est ___ para ese empleo porque no tiene suficiente experiencia 6. Ayer todo el ruido de la calle me ___ tanto que tuve un gran dolor de cabeza 7. Despus de comer el helado, el nio tenia los pantalones ___8. El accidente de coches fue algo ____. Murieron tres personas.9. El tren para Madrid va a llegar al ___ nmero cuatro.10. Hoy no he trado mi libro de espaol.Podemos ____ el tuyo?11. _____, cundo vas a devolverme los diez dlares que te prest?12. Mi abuela vive en un ___ de ancianos13. Estuvimos sin agua por dos das porque los obreros tenan que arreglar las _____14. Los conductors impacientes tocabarn las ____15. Mi prima es tan ______ que no quiere prestarme cinco dlares16. Hoy le en el ___ que mi equipo favorito de ftbol gan tres partidos.17. Hijo mo, si comes un ____ ms de carne, vas a enfermarte.18. Siempre hay buenas personas que ___ los gatos de la calle.19. Los ___ existen para proteger a los habitantes de la ciudad al cruzar la calle 20. Por la calle se oyeron varios ____ de revlver An example of programmed cell death (death at maturity) is the differentiation of Mexico was known for having a stable, diverse economy during the 1800s. TRUE FALSE Larry travels 60 miles per hour going to a friends house and 50 miles per hour coming back, using the same road. he drove a total of 5 hours. what is the distance from larrys house to his friends house, rounded to the nearest mile? Name two major contributions to forensic science made by hans gross. why are they considered important to forensic science? The length of a rectangle is 22 meters longer than the width. if the area is 2626 square meters, find the rectangle's dimensions. round to the nearest tenth of a meter. a class voted for either kayaking, fishing, or hiking as their favorite summer activity. if hiking got 17% percent of the vote and fishing got 33%, what percentage of the class voted kayaking? Two linear equations are shown.What is the solution to the system of equations? EASY QUESTIONS!!1.Which sentence is correctly punctuated?However; we can make it to the airport on time if the taxi driver avoids the lights.How we make it to the airport is unimportant however time is running out.We can make it to the airport on time; however, if the taxi driver avoids the lights.We can make it to the airport on time; however, the taxi driver must hurry.2.Which sentence is correctly punctuated? (5 points)Furthermore; we can only play music until 10:00 or until the neighbors complain.Instead of turning your music up more; why not just put your headphones on?Loud music; however, is not appropriate at this hour in this neighborhood.Music makes almost any activity more enjoyable; nevertheless, yours is too loud. Which of the following volumes represent a perfect cube? CHECK ALL THAT APPLY.A. 1 in.3B. 4 in.3C. 8 in.3D. 12 in.3E. 25 in.3F. 27 in.3G. 64 in.3 An ice cream store sells 2 2 drinks, in 3 3 sizes, and 8 8 flavors. in how many ways can a customer order a drink? Beth has late-stage terminal cancer. she understands which procedures she is willing to endure and which ones she does not want to undergo. how can beth best communicate her desires to her physician and family? what are the benefits of staying in a clean environment ? As a solid element melts, the atoms become __________ and they have __________ attraction for one another. more separated, more more separated, less closer together, more closer together, less larger, greater Probability theory predicts that there is a 22.4% chance of a particular soccer player making four penalty shots in a row. If the soccer player taking four penalty shots is simulated 2500 times, in about how many of the simulations would you expect at least one missed shot? Steam Workshop Downloader