Use y = mx + b to determine the equation of a line with a slope -5, passing through the point (-2,4).

Answers

Answer 1

Answer:

[tex]y=-5x-6[/tex]

Step-by-step explanation:

Hi there!

In [tex]y=mx+b[/tex], m is the slope of the line and b is the y-intercept (the value of y when x is 0). y and x remain the same but m and b are replaced with numbers.

Given that the slope is -5, plug it into [tex]y=mx+b[/tex]:

[tex]y=-5x+b[/tex]

Now, to solve for b, plug in the given point (-2,4):

[tex]4=-5(-2)+b\\4=10+b[/tex]

Subtract 10 from both sides to isolate b:

[tex]4-10=10+b-10\\-6=b[/tex]

Therefore, the y-intercept of this line is -6. Plug this back into [tex]y=-5x+b[/tex] as b:

[tex]y=-5x-6[/tex]

I hope this helps!


Related Questions

Which system of linear inequalities is represented by the graph

Answers

Answer:

Y = 0.5x-1 is the formula

I need help with this question

Answers

adfhjjhhhhhh ffggg3rfffhkjdgb gghh

Graph the inequality. y ≥ |x + 5| - 3

Answers

Answer:

1

Step-by-step explanation:

Problem is in picture attached. What numbers do the ice cream scoops and cones represent?

Answers

Answer:

ice cream scoops (white scoop)= 2

ice cream cones = 3

ice cream scoops (pink scoops) = 1

Step-by-step explanation:

3 x 3 x 3 = 27

3(cone) + 2(white scoop) + 3(cone) + 2(white scoop) = 10

and so on

(x + 3)/(3x - 2) - (x - 3)/(3x + 2) = - 22/(9x ^ 2 - 4)

Answers

Answer:

x = -1

Step-by-step explanation:

simplifica las siguientes expresiones raíz de 50+ raiz de 18​

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{50}+\sqrt{18}=\sqrt{2*5^2}+\sqrt{2*3^2}=5\sqrt{2}+3\sqrt{2}=8\sqrt{2}[/tex]

If paper products accounted for 33% of the total MSW recycled in 2010 and about 7m3 of landfill space is saved for each metric ton of paper products recycled, calculate how much landfill space was saved by recycling paper products in 2010 in the United States.

Answers

Answer:

Volume of landfill space saved by recycling paper products in 2010 in the United States = 175.56 million m³ of land space

Note: The Table in the attachment below Shows The Total MSW (in Metric Tons) And Percent MSW Recycled Over Time In The United States.

Step-by-step explanation:

Step 1: Determining the amount in metric tons of paper products recycled

In the year 2010, a total of 76 million metric tons of MSW was recycled.

Recycling of paper products accounted for 33% of the total MSW recycled in 2010.

The amount of paper products recycled in millions of metric ton = 0.33 × 76 million  = 25.08 million metric tons of paper products.

Step 2: Determining the volume of landfill space saved in 2010 by recycling paper products

7m³ of landfill space is saved for each metric ton of paper products.

Volume of landfill space saved by recycling paper products in 2010 in the United States = total amount of paper products recycled  × 7 m³/metric ton

Volume of landfill space saved = 25.08 million metric tons  × 7  m³/metric ton

Volume of landfill space saved = 175.56 million m³ of land space

Therefore, volume of landfill space saved by recycling paper products in 2010 in the United States = 175.56 million m³ of land space

Using proportions, it is found that about 21 cubic metres of landfill space was saved by recycling paper products in 2010 in the United States.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, 33% of the total amount is equivalent to 7 cubic metres, hence:

0.33t = 7

t = 7/0.33

t = 21

21 cubic metres of landfill space was saved by recycling paper products in 2010 in the United States.

More can be learned about proportions at https://brainly.com/question/24372153

A tank contains 7070 kg of salt and 20002000 L of water. Pure water enters a tank at the rate 88 L/min. The solution is mixed and drains from the tank at the rate 44 L/min. (a) What is the amount of salt in the tank initially

Answers

I'm assuming all the numbers here mistakenly got copied twice.

Let A(t) denote the amount (in kg) of salt in the tank at time t. The solution starts with 70 kg of salt, so (a) A(0) = 70.

I also assume there is more to the question, so I'll just go ahead and build the differential equation to model this situation, and solve it.

Pure water is flowing into the tank, so no salt is being introduced. The concentration of salt at time t is A(t)/2000 kg/L, and solution is drained from the tank at a rate of 4 L/min, which means salt is being removed at a rate of

(4 L/min) (A(t)/2000 kg/L) = A(t)/500 kg/min = 0.002 A(t) kg/min

Thus the amount of salt (ignoring units now) in the tank changes according to the DE,

dA(t)/dt = -0.002 A(t)

which is easy to solve because it's linear with constant coefficients.

Without going into too much detail:

dA(t)/dt + 0.002 A(t) = 0

exp(0.002t ) dA(t)/dt + 0.002 exp(0.002t ) A(t) = 0

d/dt [exp(0.002t ) A(t)] = 0

exp(0.002t ) A(t) = C

A(t) = C exp(-0.002t )

Given A(0) = 70, solve for C :

70 = C exp(0) = C

Hence

A(t) = 70 exp(-0.002t )

What is the volume of the right cone shown below?

Answers

Answer:

D

Step-by-step explanation:

It’s correct

[tex]\frac{1}{3} *\pi *6^{2}*27[/tex]

[tex]=324\pi[/tex]

Please help me please help me if you don't know gently move your hand

i will make you brainliest with 15 points

Answers

Answer:

7cm

14cm

dπ or 2r π

14π or 2(7π)

Step-by-step explanation:

Radius = 7cm

Diameter = 7 x 2 = 14cm

Circumference = 2 x π x r = dπ

Circumference Value = 2 x π x 7 = 14π

Answer:

Radius: 7 cm

Diameter: 14 cm

Circumference Formula: c = or c = 2rπ

Circumference Value: c = 14π or c = 2(7π)

Step-by-step explanation:

We are given that the radius of the circle is 7 cm. The diameter will always be twice as large as the radius so that will lead us to 14 cm as the diameter of the circle. The formula is quite simple. There are two different types of formulas for finding the circumference of a circle. If only the diameter is given, then we use the formula c = , where d is for diameter and π is for pi or 3.14159. If only the radius is given, then we use the formula c = 2rπ, where r is for radius and π is for pi or 3.14159. In this case, we are going to use the formula for radius since only the radius is given. Simply plug in the value for radius then multiply the radius to π or 3.14159 and multiply the product by 2 to get the circumference of the circle. If I am wrong, please let me know. I hope this helps! :D

Solve the system using elimination.
3x + 5y = -2
-x + 2y = 8

Answers

Answer:

x= -4,y=2............

Twice a number divided by 5 gives 4

simple equations

Answers

Answer:

x=10

Step-by-step explanation:

Let the number = x

∴ 2x/5=4

∴2x=5*4

∴2x=20

∴x=20/2

∴x=10

Hope it helps you!

Mark as brainliest if you like it  

Answer:

2x / 5 = 4

x = 10

Step-by-step explanation:

Twice a number   divided by 5   gives 4

          2x                     / 5                  = 4

2x / 5 = 4

Multiply both sides by 5

2x = 20

Divide both sides by 2

x = 10

Find the area of 18 ft in height and 9 1/4 in base

Answers

Answer:

Triangle+ 83.25

Square/ Rectangle = 166.5

Step-by-step explanation:

I need the shape specified

Jenny has several wood boards which are each 2 1/2 feet long. She uses 1 3/4 wood boards for a school project. Which shows a way to find how many feet of wood Jenny used for her project? no links pleaseeee​

Answers

Answer:

Step-by-step explanation:

Select the symbol = (equal to) or (not equal to) to make the expression true.
{1, 2, 3, 4, 5) ? (whole numbers between 1 and 5 inclusive)

Answers

Answer:

not equal to

Step-by-step explanation:

the ")" stands for excluding that last element.

Which point is the vertex for the graph of y= |x| + 2?
A. (0,0)
B. (0,1)
C. (0,-2)
D. (0,2)
E. (2,0)

Answers

The correct answer is vertex of the graph D. (0, 2).

To find the vertex of the graph of the function y = |x| + 2, we need to determine the point where the function reaches its minimum or maximum value.The graph of y = |x| is a V-shaped graph with the vertex at the origin (0, 0). When we add 2 to this function, the graph is shifted upward by 2 units.So, the vertex of the graph of y = |x| + 2 is at (0, 2).

Therefore, the correct answer is D. (0, 2).The function y = |x| + 2 represents a V-shaped graph, and the vertex of this graph occurs at the origin (0, 0). By adding 2 to the function, the graph is shifted upward by 2 units. Therefore, the vertex of the modified function y = |x| + 2 is found by shifting the original vertex (0, 0) vertically by 2 units. This means the new vertex is located at (0, 2). This point represents the minimum value of the function, as it is the lowest point on the graph.

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Suppose that the weights of airline passenger bags are normally distributed with a mean of 49.02 pounds and a standard deviation of 3.83 pounds. a) What is the probability that the weight of a bag will be less than the maximum allowable weight of 50 pounds

Answers

Answer:

0.601 = 60.1% probability that the weight of a bag will be less than the maximum allowable weight of 50 pounds

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 49.02 pounds and a standard deviation of 3.83 pounds.

This means that [tex]\mu = 49.02, \sigma = 3.83[/tex]

What is the probability that the weight of a bag will be less than the maximum allowable weight of 50 pounds?

This is the p-value of Z when X = 50. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{50 - 49.02}{3.83}[/tex]

[tex]Z = 0.256[/tex]

[tex]Z = 0.256[/tex] has a p-value of 0.601.

0.601 = 60.1% probability that the weight of a bag will be less than the maximum allowable weight of 50 pounds

Rewrite each side with a common base and solve. Round your answer to two decimal places.

3^4x=1/27

Answers

x = -3/4

Explanation:

3^(4x) = 1/27
3^(4x) = 27^(-1)
3^(4x) = 3^(-3)
4x = -3
x = -3/4

Use Newton''s method to find the second and third approximation of a root of x^3 + x + 3= 0 starting with x1 = -1 as the initial approximation.

The second approximation is x2= ?
The third approximation is x3= ?

Answers

9514 1404 393

Answer:

  see attachment

Step-by-step explanation:

The iterator for Newton's method gives the next approximation (x') as ...

  x' = x -g(x)/g'(x) . . . . . where g'(x) is the derivative of g(x)

We have defined g(x) = x^3+x+3, the function we want the zero of. We have defined the iteration function to be f(x).

__

Additional comment

Modern graphing calculators not only make the iteration trivially simple, they also give a first approximation good to 2 or 3 decimal places in many cases.

I have a week left of school, please help me ASAPPPP

Answers

Answer:

Option 3 is correct

Step-by-step explanation:

the lengths of two sides of a triangle are 2x-5 and x+3. If the perimeter of the triangle is 4x-1, what is the length of the third side in terms of x?

Answers

Answer:

[tex]x-9[/tex]

Step-by-step explanation:

[tex]side_1=2x+5\\side_2=x+3\\side_3=\phi\\perimeter=\displaystyle\sum_{i=1}^3side_i=(2x+5)+(x+3)+\phi=4x-1\\\phi=4x-1-x-3-5-2x=x-9[/tex]

The length of the third side in terms of x is x+1.

What is the perimeter of the triangle?

The perimeter of a triangle is the sum of all its three sides.

We can work out the perimeter using the following formula:

The perimeter of a triangle is = sum of all three sides.

The length of the third side in terms of x is given by;

[tex]\rm Perimeter \ of \ triangle = Side \ a + Side \ b + Side \ c[/tex]

Substitute all the values in the formula

[tex]\rm Perimeter \ of \ triangle = Side \ a + Side \ b + Side \ c\\\\4x-1=2x-5+x+3+Side \ c\\\\4x-1=3x-2+Side \ c\\\\Side \ c=4x-3x-1+2\\\\Side \ c=x+1[/tex]

Hence, the length of the third side in terms of x is x+1.

Learn more about triangles here;

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In a square, 2 sides have measure of 3x+2 and 5x - 14
What is the value of x

Answers

9514 1404 393

Answer:

  x = 8

Step-by-step explanation:

In a square, two sides have equal measures:

  3x +2 = 5x -14

  16 = 2x . . . . . . . . add 14-3x to both sides

  8 = x . . . . . . . . . divide by 2

_____

The side lengths are 3(8) +2 = 26 = 5(8) -14.

Jen factored x² - 4x - 21 as (x - 3)(x + 7) What did she do wrong?

Answers

Answer:

She didn't put the sign's in the proper place, it should be ( x + 3 ) ( x - 7 )

Step-by-step explanation:

( x - 3 ) ( x + 7 ) = x² + 7x - 3x - 21 = x² + 4x - 21

( x + 3 ) ( x - 7 ) = x² - 7x + 3x - 21 = x² - 4x - 21

Jen should have done (x+3)(x-7) bc the middle value of the original equation needs to be equal to the two numerical values added together from the factored equation

Write the equation of the line that passes through the points (-5, -7) and
(-3,3). Put your answer in fully reduced point-slope form, unless it is a
vertical or horizontal line.

Answers

Answer:

f(x)=5x+3

Step-by-step explanation:

The slop is 5 and the y intercept is 3

So if you put that in an equation it makes 5x+3

I used the slope formula to find the slope

Subtract the y values over x values

When you multiply a number by 6 and subtract 5m the product ,you get 7. find the number.​

with solution

Answers

Answer:

x = 2

Step-by-step explanation:

Let the number be x

When we multiply a number by 6 and subtract it by 5, we would get 7.

On multiplication of number x with 6 it will be 6x.12

On subtraction of 5 it will be 6x - 5

6x - 5 = 7

6x = 7 + 5  

6x = 12

x = 12/6

x = 2

Answer:

The number is 2

Step-by-step explanation:

Let the number be n

Multiply the number by 6 = 6n

Subtract 5 from the number , 6n - 5

And we get 7

So , the expression : 6n - 5 = 7

                                6n = 7 + 5

                                6n = 12

                                  n = 2

Marinas bill for dinner totals $38.65, including tax. She leaves a 20% tip. How much is Marinas total? (pls hurry i’m in summer school rn and i need the answer)

Answers

9514 1404 393

Answer:

  $46.38

Step-by-step explanation:

When a 20% tip is added to the bill, the result is the bill being multiplied by a factor of (1 + 20%) = 1.20.

  1.20 × 38.65 = 46.38

Marina's total with the tip is $46.38.

which line on the graph represents the equation y=3x-2

line b
line a
line d
line c

Answers

Answer:

Line A.

Step-by-step explanation:

When you put x as zero into 3x-2, you get 3(0)-2. That equals -2. Therefore, y = -2. When x=0, that is the y-intercept, so the y-intercept is -2. Line A crosses the y-axis at -2, so line A has that y-intercept.

Slope is always y/x. On a graph, that is the number of squares UP over the number of squares ACROSS. Counting, we get, 3 squares up over 1 square across for line A. 3/1= 3. The slope is the number we multiply by x. In the equation, that is 3, because we see 3x, and no sign or space between 2 numbers automatically means we multiply. So line A also has the correct slope.

In linear equations (straight lines), the same slope and y-intercept are enough to tell you that the equation matches the line.

Therefore, the answer is A!

Need help with this thanks

Answers

9514 1404 393

Answer:

  x = 24

Step-by-step explanation:

The two angles are complementary, so their sum is 90°.

  x° +(3x -6)° = 90°

  4x = 96 . . . . . . . . . . . . divide by °, add 6

  x = 24 . . . . . . . . . . . . . divide by 4

si el radio de un circulo es de 3 pulgadas. cual es el area del circulo?

Answers

Answer:

I don’t know

Step-by-step explanation:

Let U = {1, 2, 3, 4, 5, 6, 7), A = {2, 4, 6, 7), and B = {1, 4, 7}. Find the set (A U B)'.​

Answers

Step-by-step explanation:

(A U B) = {1,2, 4, 6, 7}

(A U B)'= U- (A U B) = { 3,5}<------- Answer

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