What's the slope and y-intercept of the equation 3x + 4y = 8?

Answers

Answer 1

Answer:

Slope = -3/4

y-intercept = 2

Step-by-step explanation:

[tex]3x+4y = 8\\\therefore 4y = -3x +8\\\therefore y = \frac{-3}{4}x+ \frac{8}{4}\\\therefore y = \frac{-3}{4}x+2\\Equating \: it \: with\: \\y=mx+b\\Slope\:(m) = \frac{-3}{4}\\y-intercept\:(b) = 2[/tex]

Answer 2
Y intercept is 2
Slope is -3/4

Related Questions

What is the measure of angle x in degrees?
50
100
200
180

Answers

Answer: a hunnid

Step-by-step explanation:

50 x 2= a hunnid

Answer:

100

Step-by-step explanation:

50x2=100 because it is 360 degrees

Which expression is equivalent to 4−22−3? −16 −8 8 16

Answers

Answer:

-21

Step-by-step explanation:

PLEASEEE HELP !! in two the three sentences, explain how you would find the line of symmetry for the parabola whose equation is
y=x2+4x+16

Answers

Answer:

Axis of symmetry line  is parallel to y- axis

Equation of the parabola ( x - ( -2 ))² =  (y - 12 )  

Step-by-step explanation:

Explanation:-

Given equation is y = x²+4 x+16

                            y =  x²+2 (2 ) x + (2)² - (2)² + 16

                           y   = ( x + 2 )² + 12

                         ( x + 2 )² = y - 12

                        ( x - ( -2 ))² =  (y - 12 )  

                         ( x- h)² = 4 a ( y - k)

            Center (h ,k) = ( -2 , 12)

             Here   4 a  = 1

                           a = 1/4

Focus  S = ( h , K +a) = ( -2 , 12 + 0.25) = ( -2 , 12.25)

Axis of symmetry line  is parallel to y- axis

                           

Classify the following triangle. Check all that apply

Answers

Answer:

F. right angle is correct

Answer: The correct choices are D and F.

Step-by-step explanation:

There are two classifications of triangles shown.

Any triangle can only be two.

The first classification depends on the triangles' angles:

Acute triangles are triangles with three angles under 90 degrees.Right triangles are triangles with a right angle. Obtuse triangles are triangles with an obtuse angle.

The second classification depends on the triangles' sides:

Equilateral triangles are triangles with three equal side lengths.Isosceles triangles are triangles with two equal side lengths. Scalene triangles are triangles with no equal side lengths.

The triangle given has angles of 36, 54, and 90 degrees. 90 degrees is a right angle, so the triangle is a right triangle.

The triangle given has side lengths of 7, 5.1, and 8.66. No side lengths are equal, so the triangle is a scalene triangle.

The correct choices are D and F.

wimming Pool On a certain hot summer's day, 528 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for adults. The
ceipts for admission totaled $985.00. How many children and how many adults swam at the public pool that day?
mere were 159 children at the public pool.

Answers

The answer is 2,770.3125 or you want me to check for a other answer

Answer:

Step-by-step explanation:

Let the number of children = c

The number of adults = a

Total people = 528

c + a = 528   ------------------------(I)

Total price  = $ 985

1.25c + 2.25a = 985 ---------(II)

Multiply equation (I) by (-1.25).

(I)*(-1.25)      -1.25c - 1.25a =  - 660

(II)                1.25c + 2.25a = 985  {add, c will be eliminated}

                                       a =  325

Number of adults = 325

Plugin the value of a in equation (I)

c + 325 = 528

         c = 528 - 325

         c = 203

Number of children = 203

Find the volume of the prism. Round to the nearest tenth if necessary

Answers

Answer:

V = 204.7 cm³

Step-by-step explanation:

Pythagoras

h = √(6² - 3.5²)

= √(36 - 12.25)

= √23.75

= 4.87

≅ 4.9

A = Ab×H

= b×h/2 × H

= 7cm×4.9cm/2×12cm

= 204.7 cm³

someone plz help!!! calculus, I have a picture below

Answers

Answer:

[tex] \frac{3}{\sqrt[5]{y^{3}}} [/tex]

Step-by-step explanation:

The following expression:

[tex] 3y^{-3/5} [/tex]

can be simplified as follows:

First, rewrite the negative exponent,

[tex] 3\frac{1}{y^{3/5}} [/tex]

[tex] \frac{3}{y^{3/5}} [/tex]

And then, rewrite the fraction in the exponent,

[tex] \frac{3}{\sqrt[5]{y^{3}}} [/tex]

What is the v-value of the vertex?
f(x) = (x + 2)^2 - 1
-value of the vertex:​

Answers

Answer:

Okay, I don't know what a V-value is, but I can get the vertex coordinates...

Step-by-step explanation:

So, this is the basic formula for parabolas:

[tex]f(x)=a(x-h)^{2}+k[/tex]

Now, your equation is this form, and the vertex of parabola's in this context is:

[tex](h,k)[/tex]

So, therefore:

[tex](-2,-1)[/tex] <------ANSWER

Hopefully this is a good explanation!

Stay Safe!

In the figure, if is the angle bisector of ∠SOT, find m∠QOT. answers : A) 46° B) 48° C) 38° D) 42°

Answers

Answer:

B

Step-by-step explanation:

Since QO is the bisector, that means that m∠SOQ = m∠QOT so we can write:

10x + 8 = 14x - 8

-4x + 8 = -8

-4x = -16

x = 4 which means that m∠QOT = 14x - 8 = 14(4) - 8 = 48°.

If 12 to 99 power - 12 to 97th power

Answers

Answer:

The question is a little confusing but I am going to assume that you want 12 to the 97th power and that is it.

Step-by-step explanation:

. 4.792707e+104 is the answer. I just put it in the calculator. But what you do us 12x12x12x12 and so on 97 times. Hope this helps!! Have a good day:-)

Answer:

Step-by-step explanation:

12⁹⁹ - 12⁹⁷ = 12⁹⁷⁺² - 12⁹⁷

                = 12⁹⁷*12² - 12⁹⁷

               = 12⁹⁷* [ 12² - 1]

               = 12⁹⁷ * [ 144 - 1]

               = 12⁹⁷ * 143

I need help on this.​

Answers

Answer:

60 cubic centimeters

Step-by-step explanation:

There are 4 rows and 5 columns and it has a doubly thiccness

Volume is length x width x height, so when you do that here,

5 x 4  x 2 = 60 cubic centimeters

help plzzzzzzzzzzzz​

Answers

Answer:

a,b,d

Step-by-step explanation:

To find the perfect square take the number and square root it on ur calculator and if it’s a whole number it’s a perfect square and same for cube

i only need number 4 and number 8

Answers

Answer:

  4.  (2√10 +2√17) units

  8.  25/2 square units

Step-by-step explanation:

4.  The length of JK is given by the distance formula ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  d = √((3-2)^2 +(6-3)^2) = √(1+9) = √10

The length of KL is given by the same formula:

  d = √(4^2 +1^2) = √17

The perimeter is twice the sum of these lengths:

  P = 2(JK +KL)

  P = 2√10 +2√17

__

8. The area can be computed from coordinates* using the formula ...

  A = (1/2)|x1(y2 -y3) +x2(y3 -y1) +x3(y1 -y2)|

  A = (1/2)|3(4 -0) +7(0 -7) +4(7 -4)| = (1/2)|12 -49 +12|

  A = 25/2 = 12.5 . . . . square units

_____

* One way to look at the problem is as a set of triangles and a trapezoid. The x-axis is the base of the right triangles with line PQ and PR as hypotenuses. The trapezoid is a right trapezoid with parallel bases extending from the x-axis to points Q and R.

The left triangle area is 1/2(1)(7) = 7/2; the right triangle area is 1/2(3)(4) = 6. The area of the trapezoid is 1/2(4+7)(4) = 22. The area of the triangle of interest is the difference ...

  area PQR = trapezoid area - (sum of triangle areas) = 22 -19/2 = 25/2

__

If point P were not on the x-axis, then the figure could be resolved into 3 right trapezoids in similar fashion. If you were to use points (x1, y1), (x2, y2), and (x3, y3) instead of numerical values, you could obtain the formula shown above.

A charter bus service charges a flat fee of $175, plus $2.50 per mile (one-way distance) for a bus. If the band paid exactly $1875 for three buses, how far did the band travel?

Answers

Answer:

1875-(175*3)=1350

1350/(2.5*3)=180

The Band Travelled 180 Miles

Step-by-step explanation:

Take the flat fee and multiply for the 3 buses.

Then (based on the info given) take the cost of the miles per hour and multiply by 3

Take that number and divide 1350 by the cost per miles to determine the miles the band traveled

Which term best describes the set of all points in a plane for which the sum
of the distances to two fixed points equals a certain constant?
A. Ellipse
B. Parabola
C. Circle
D. Hyperbola

Answers

Answer:ellipse

Step-by-step explanation:

The term which describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant is Ellipse.

What is Circle?

Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.

Conic sections are the two dimensional curves which are obtained by the intersection of the cone with the plane.

The four conic sections are ellipse, parabola, hyperbola and circle.

A circle has all the points equidistant from the center.

Ellipse is a one such plane where the curve includes the set of points for which the sum of the distances to two fixed points equals a certain constant which is called the focus.

Hence the correct option is ellipse.

Learn more about Conic Sections here :

https://brainly.com/question/29295448

#SPJ7

Evaluate the expression 6log6 1.5

Answers

Answer:

10.7332506947

Step-by-step explanation:

hope it helps !!

If I am wrong please let me know

a small rocket is shot from the edge of a cliff suppose that after t seconds the rocket is y meters above the cliff where y=30t-5t^2 what’s the greatest height the rocket reached? after how many seconds does the rocket reach its height? how far above the cliff edge is the rocket after 5 seconds? when is the rocket 40 meters above the cliff edge? where is the rocket after 7 seconds?

Answers

Answer:

Greatest height: 45 meters

Time for greatest height: 3 seconds

Height after 5 seconds: 25 meters above the cliff

Time for height of 40 meters: 7.123 seconds

Height after 7 seconds: -35 meters (35 meters below the cliff)

Step-by-step explanation:

to find the maximum height, we need to calculate the derivative of y in relation to t and then find when dy/dt = 0:

dy/dt = 30 - 10t = 0

10t = 30

t = 3 seconds

In this time, the height is:

y = 30*3 - 5*3^2 = 45 meters

After 5 seconds, the height is:

y = 30*5 - 5*5^2 = 25 meters

The time for the height of 40 meters is:

40 = 30t - 5t^2

t^2 - 6t - 8 = 0

Using Bhaskara's formula, we have:

Delta = 6^2 + 4*8 = 68

sqrt(Delta) = 8.246

t1 = (6 + 8.246) / 2 = 7.123 seconds

t2 = (6 - 8.246) / 2 = -1.123 seconds (negative value for time is not valid)

So the time when the rocket reaches 40 meters is 7.123 seconds

After 7 seconds, the height is:

y = 30*7 - 5*7^2 = -35 meters

The rocket will be 35 meters below the cliff.

One side of a large rectangular park is 6 miles long. A diagonal path through the park is 12 miles long . How long is the other side of the park ?

Answers

Answer:

6√3

Step-by-step explanation:

Because 12^2 -6^2 = 108

and √108 is 6√3

Which function is the verse of f(x)=2x+3?

Answers

Answer:

Option B is correct

Step-by-step explanation:

A function has form of f(x) = 2x + 3, or y = 2x + 3

To find the inverse of f(x), we are going to represent x in form of y.

To do this, we try to send all components containing x to one side of expression and send the other components to the other side of expression.

Now, let's do it.

y = 2x + 3

We firstly send 3 to the right, change the sign of 3 from + to -, we have:

y - 3 = 2x

We then rearrange both sides to get a standard form:

2x = y - 3

We now divide both sides by 2 to get the expression of x:

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

We simplify both sides of expression to obtain final result:

x = (1/2)y - 3/2

=> Inverse of f(x) is x = (1/2)y - 3/2

=> Option B is correct

Evaluate [(40+5)-3^2]+9x2

Answers

i’m pretty sure it’s 54; i’m so sorry if it’s wrong

Answer:

54

Step-by-step explanation:

pemdas boo

The product of 67 and the numbers of weeks

Answers

Answer: the answer to that is 67n

Step-by-step explanation:

Answer: 641.19

Step-by-step explanation: So, I'm a little confused on the question... but I think I know what you're talking about. There are 7 days in a week...

67 ÷ 7 = 9.57

67 x 9.57 = 641.19

The product of 67 and the number of weeks is 641.19...

Please let me know if answered the question correctly!

In a science experiment, the temperature of a sample increased 2/10 during the first hour. At the end of the second hour, the temperature increased another 6/10. What was the total temperature increase for the two hours? Write your answer in simplest form.

Answers

Answer:

idk

Step-by-step explanation:

sorry for no help

Which of the following equations describes the graph?
y = -x2 - 2x + 1
y = x2 + 2x + 1
y = x2 – 2x + 1
y = x2 – X-1

Answers

Answer:

Which cone has a volume of 24 7 cm?

-

1

-

-

3.5 cm!

4.5 cm

1

6.5 cm

B = 25.4 cm

1

7/5 cmi

1

8 cm

3 cm

B = 42

Step-by-step explanation:

Can we combine different functions (quadratic, linear, exponential, cube root) into one piecewise function? If the answer is yes, then why?

Plzzzz help

Answers

Answer: yes, because it is useful to describe changes in the behavior of the thing we are describing.

Step-by-step explanation:

A piecewise function f(x) is a function that is "different" depending on the range of the values of x, this is for example:

y = x -----> if x < 0

y = x^2 ----- if x ≥ 0

This is used to represent changes in the behavior of the thing we are describing.

For example, suppose an object that is moving with constant velocity, the velocity graph will be a constant line.

Now, the object suddenly, at a time t = t0 accelerates to a constant acceleration A, now the graph of the velocity is a linear graph with slope equal to A.

So this situation can be represent this with a piecewise function:

V(t) = c -----> if t < t0

V(t) = c + A*t -----> if t ≥ t0

So the answer is yes, we can.

help me out please once again

Answers

Answer:

C

Step-by-step explanation:

Use the pythagorean theorom

a^2 + b^2 = C^2

convert so it goes to the problem

c^2 - a^2 =b^2

10^2 - 5^ = 100 - 25 = 75

srt. 75 = 5 sqrt.3

Answer:

The hypotenuse = leg 1 + leg 2

Hypotenuse = 10

Leg 1 = 5

Leg 2 = ?

10^2 - 5^2 = x

100 - 25 = 75

Answer = sqrt of 75

Answer = C5 sqrt. 3

Multiple chickens and rabbits are in a cage. There are 20 more chickens than rabbits and together, there are 256 legs in all. How many rabbits are there? Please explain

Answers

Answer:

c = −108 and r = 118

Step-by-step explanation:

Since we know that chickens have  2  legs and rabbits have  4  legs, we can set up a system of equations to solve the problem.

Let  c  be the number of chickens and  r  be the number of rabbits.

for legs, we can write the equation out in word form as:

(number of legs per chicken)(number of chickens) + (number of legs per rabbit)(number of rabbits) = (total number of rabbits)

In algebraic form, this equation would look like this:

2 c  +  4 r  =  256

20+r +r = 256

Now we can use elimination (or substitution) to solve for c and r:

The equation can be reduced by dividing both sides by 2:

c  +  2 r  =  128

Solve for r.

20+r +r = 256

2r = 236

2r/2 = 236/2

r = 118

Substitute and solve for c.

c + 2(118) = 128

c + 236 = 128

c = -108

4 yd 2 ft = _____ ft. Explain how you knew how to solve the problem. *
2

Answers

Hi there!

4yds and 2ft are equaled to 14ft.

Each yard consists of 3 feet. If there are 4 then you multiply 4 times 3, resulting in 12. Then you add 2 more and you get 14.

Hope this helps !

Answer:

14 ft or 24 ft

Step-by-step explanation:

It is a unit of measurement conversion.

We have Yards (its abbreviation is yd) and Foot (where the standard symbol is ft)

Once there a 3 feet in a yard,

[tex]4 \text{ yd } 2 \text{ ft } = 12 + 2 \text{ ft } = 14 \text{ ft }[/tex]

State that I'm considering that this is a sum. Maybe it is a multiplication, so

[tex]12 \cdot2=24\text{ ft}[/tex]

Javier used chalk to draw some shapes on the playground.

All of the shapes that Javier drew are parallelograms.
Some, but not all, of the shapes that Javier drew are rectangles.

Which statement must be true?

A All of Javier's shapes have 4​ equal angles.

B Some, but not all, of Javier's shapes have perpendicular sides.

C Some, but not all, of Javier's shapes have 2​ pairs of parallel sides.

D All of Javier's shapes have at least one angle greater than 90​ degrees.

Answers

Step-by-step explanation:

option D is answer coz parallelograms and rectangles have the angle greater than 90°……

Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequality that can be used to determine the number of songs that he can purchase. Interpret the solution.

Answers

Answer:

There is 20 dollars and the cost is 1.29. You need to have more money than the cost

To see if he can buy Y many songs

20 > 1.29 x Y

If you want how many songs

20/1.29=amount of songs

20/1.29 = 15.5

You round down because he cannot afford the full 16th song but can afford the 15th song fully so he can buy 15 songs

Hope this helps. If you have any questions you can ask

Step-by-step explanation:

Answer:

Sample response: If x represents the number of downloads, you can write the inequality 1.29x ≤ 20. Solving the inequality, you find that x is less than or equal to about 15.5. Since he can’t download part of a song, Joseph can download 15 or fewer songs.

Step-by-step explanation:

sample response for edg 2021

WILL GIVE BRAINLIST AND THANKS AND 5 STARTS IF CORRECT WHAT IS X QUESTION IS ON SCREENSHOT

Answers

Answer:

1/4

Step-by-step explanation:

x + 1/2 = 3/4

Subtract 1/2 from both sides.

x = 1/4

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