Find the slope of the line passing through the points (2, 7) and (-1, 4).

Answer: p ≥ 5

Step-by-step explanation:

Subtract 4 from both sides :

4+ 2p - 4 ≤ 3p-1 - 4

Simplify :

2p ≤ 3p -5

Subtract 3 p from both sides

2p - 3p ≤  3p - 5 - 3p

Simplify:

- p ≤ - 5

Multiply both sides by -1 (reverse the inequality right) :

( - p ) * ( - 1 ) ≥ ( -5 ) * ( - 1 )

Simplify :

p ≥ 5

Hope that helps!

[tex]Solution,\mathrm{Inverse\:of}\:5x+4:\quad \frac{x-4}{5}[/tex]

[tex]Steps:[/tex]

[tex]y=5x+4[/tex]

[tex]\mathrm{Interchange\:the\:variables}\:x\:\mathrm{and}\:y, x=5y+4[/tex]

[tex](\mathrm{Solve}\:x=5y+4\:\mathrm{for}\:y),(x=5y+4)[/tex]

[tex]\mathrm{Switch\:sides}, 5y+4=x[/tex]

[tex]\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}, 5y+4-4=x-4[/tex]

[tex]\mathrm{Simplify}, 5y=x-4[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5, \frac{5y}{5}=\frac{x}{5}-\frac{4}{5}[/tex]

[tex]\mathrm{Simplify}, y=\frac{x-4}{5}[/tex]

[tex]\mathrm{The\:Correct\:Answer\:is\:\frac{x-4}{5}}[/tex]

[tex]\mathrm{Hope\:This\:Helps!!!}[/tex]

[tex]\mathrm{-Austint1414}[/tex]

To find the inverse of f(x) = 5x + 4, swap x and y to get x = 5y + 4, solve for y to get y = (x - 4)/5, which is the inverse.

With the given function f(x) = 5x + 4, we first replace f(x) with y to get y = 5x + 4. We then swap x and y to get x = 5y + 4. To solve for y, we subtract 4 from both sides, giving us x - 4 = 5y. Then, we divide both sides by 5, yielding (x - 4)/5 = y. Therefore, y = (x - 4)/5, which is the inverse of the function f(x).

To find what number of DNA samples were not bacteria we have to find what was 47% of the 15,152 samples first.

We can do this by multiplying 0.47 x 15,152 = 7,121.44

Now 7,121.44 is 47% of the samples that DOES have bacteria. To find out how many do not we must subtract.

15,152 - 7,121.44 = 8,030.56

So the number of DNA samples that were not bacteria were 8,030.56.

GOOD LUCK! :)

so the equation for slope is y2-y1/x2-x2

so this would be -4-10/-5-0 which equals -14/-5 which is the same thing as 14/5

so the answer is 14/5 or if its mixed then 2 4/5

Hope this helps!

m=y2-y1/x2-x1

m=1-1/10-(-5)

m=1-1/10 + 5

m=0/15

Slope: m=0

   1052

  x 291

   1052    multiplied 1 x 1052

94680    multiplied 90 x 1052

210400   multiplied 200 x 1052

306,132    added  1 x 1052 and 90 x 1052 and 200 x 1052

Answer: 306,132

2 jumbo + 1 medium = 4 med + 0.15

Multiply 2 jumbo smoothies by 2 which is >> 9.90+m =4 m+0.15

9.75=3m

Divide and it'll be 3.25

3.25=m

I Actually spent a hour trying to write an answer as it also challenged me, then i saw how simple it is i wish i could take back my time

Anyways, to find out the amout a medium smoothie cost we need to find the equation for it. With the given information we can find out that the cost of 4 medium smoothies is the same as 2 jumbos and one smoothie.So first lets find out the cost of 2 smoothies, 4.95 * 2 = 9.9.Now lets plot them into an equation.

4x+0.15=9.9+x

Simplyfy the equation by removing the x from the right side

4x-x=3x      x-x=0

so now our new equation is

3x+0.15=9.9

Next lets remove the 0.15

0.15-0.15 = 0       9.9-0.15=9.75

so our new equation is now

3x=9.75

Then, we simplify the x by dividing the amount of x's it has

3x/3=x            9.75/3=3.25

So, after doing all that math, we found out that x=3.25

So each smoothie costs $3.25

so, the equation would be 4x+0.15=9.9+x

We can test it out by plotting in the situation

(3.25*4)+0.15=13.15       9.9+3.25=13.15

Don't forget to add the extra amount.

I am so glad i was able to find this out, and hope this helps you, as i had trouble with it myself, and thats coming from someone who's taking honors!

Final answer:

To predict the population of the town in 2040 using an exponential growth model, we can use the formula P(t) = P₀ * (1 + r)^(t - t₀), where P(t) is the population at time t, P₀ is the initial population, r is the growth rate, and t₀ is the initial time. Given the population in 2010 and 2000, we can calculate the growth rate and substitute the values into the formula to predict the population in 2040.

Explanation:

To construct an exponential growth model to predict the population of the town in 2040, we can use the formula P(t) = P₀ * (1 + r)^(t - t₀), where P(t) is the population at time t, P₀ is the initial population, r is the growth rate, and t₀ is the initial time.

Given that the population in 2010 was 89154 and in 2000 was 79601, we can calculate the growth rate as follows:

Growth rate = (Population in 2010 - Population in 2000) / Population in 2000 * 100%

Growth rate = (89154 - 79601) / 79601 * 100%

Growth rate ≈ 11.98%

Now we can substitute the values into the exponential growth model and predict the population in 2040, which is 30 years after 2010:

P(2040) = 89154 * (1 + 0.1198)^(2040 - 2010)

P(2040) ≈ 89154 * 1.1198^30 ≈ 89154 * 4.676

P(2040) ≈ 417204.504

He rode 6 blocks to the East than he rode 4 blocks to the West, so that means after he rode 6 blocks to the east he went backwards 4 blocks.

The equation is, 6-4=2 Because he only past 2 blocks from his home to arrive at the grocery store.

Bryce is 2 blocks past his house when he arrives at the grocery store.

To find out how many blocks past his house Bryce is when he arrives at the grocery store, we need to calculate the total distance he has traveled from his house to the grocery store. He rides 4 blocks west to school and then 6 blocks east to the grocery store. To find the total distance, we can subtract the distance traveled west from the distance traveled east: 6 blocks - 4 blocks = 2 blocks past his house.

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Answer:

Huh?

Step-by-step explanation:

24 miles because, s Ralph runs 15 miles in 5 days, so 5 times 3 =15 so 3 times 8 = 24 miles

Answer:

???

Step-by-step explanation:

Do you not have the full equation posted because t=1 is t=1

If I did it correctly the there would be one solution for the equation.

3+x=2-3x

3=2-4x

1=-4x

x=-1/4

Answer:

Step-by-step explanationn:

To divide 8982 by 28, perform the division operation and the result is approximately 320.79.

To find the answer to 8982 divided by 28, you can perform simple division. Here's how:

The result of the division is 320.7857142857143. You can round this to 320.79 for easy representation.

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[tex]Sum =[/tex] [tex]add (+)[/tex]

[tex]Twelve =[/tex] [tex]12[/tex]

[tex]p[/tex] & [tex]d = [/tex] [tex]p[/tex] & [tex]d[/tex] (since they are unknown numbers)

SO, this means that your answer SHOULD look like this: [tex]12p[/tex] [tex]+ d[/tex]

Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

1) Switch the negative sign with the three= -(3x6)

2) Multiply= -18

3) Your answer is -18

Hope I could help! :)

(2,3)  is the ordered pair because both lines meet at this direct point on the graph.

x=2

y=3

384,400 /3476 = 110.587 so 111  

because .587 is more than half way from 110 to 111

Remark

You have to make up your own formula here. You also should estimate the answser. That's always good practice. It makes you think about Math.

Estimate

If you take 384,000 and estimate it to be 300000 and do the same with the diameter to make it 3000

300,000 / 3000 = 100 about. You should get an answer of 100

Formula

Distance to the moon (D)= number of moons (n) * diameter of 1 moon (di).

Givens

D = 384000

n = ??

di = 3476

Solution

384000 = n * 3476    Divide by 3476

384000 /3476 = n / 3476

n = 110.5 moons which I think you should like round to 110.

You could fit 110 moons in the given distance

6×4=24 right so than how many 8 can get you to 24, so you do 8,16,24 or 8×3 So it's 8×3=24 (Your welcome ^.^)

6x4=8xN is the same as 24=8N

Divide both sides by 8 and there's your answer

1/8 = 0.125

0.065

3/100 = 0.03

0.105

the bigger is 1/8

Find the area of each triangle and then add them together.

Bottom Triangle

A = [tex]\frac{1}{2}[/tex]b * h

  = [tex]\frac{1}{2}[/tex](160)(120)

  = 80(120)

  = 9600 m²

Top Triangle

First we need to find the side length. We can calculate the length of the hypotenuse using Pythagorean Theorem for the bottom triangle.

a² + b² = c²

120² + 160² = c²

14400 + 25600 = c²

40000 = c²

200 = c

Now we can use Pythagorean Theorem on the top triangle to find the missing side length.

a² + b² = c²

100² + b² = 200²

10000 + b² = 40000

              b² = 30000

              b ≈ 173

A = [tex]\frac{1}{2}[/tex]b * h

  = [tex]\frac{1}{2}[/tex](100)(173)

  = 50(173)

  = 8650 m²

Top Triangle + Bottom Triangle = Total Area

     8650       +        9600

                   18250

Answer: Area = 18,250 m²

The letter "a" represents initial value. "b" is the rate, and "x" is time. Hope I could help!

To find the equation of the line perpendicular to y = -1/3x - 1 and passing through the point (1,5), we use the negative reciprocal of the original slope (which is 3) and the point-slope form to finally arrive at the equation y = 3x + 2.

The student is asking for the equation of a line that is perpendicular to a given line and passes through a specific point. The given line has the equation

y = -1/3x - 1. Because perpendicular lines have slopes that are negative reciprocals of each other, the slope of the line we're looking for is 3. Using the point-slope form of the equation of a line, we plug in the slope and the coordinates of the point (1,5) to get

y - 5 = 3(x - 1).

Simplifying this equation gives us the standard form of the line:

y = 3x + 2.