Find the slope of the line

I will do the first example, by explaining how to graph it. Then you can do the second example.

[tex]f(x) = x^3-10x^2+28x-24[/tex]

We start by determining the the x-intercepts, by letting y = 0:

[tex]x^3-10x^2+28x-24=0,\\\left(x-2\right)^2\left(x-6\right)=0,\\x=2,\:x=6[/tex]

The x-intercepts of the graph are (2, 0) and (6, 0) respectively. Now we determine the y-intercepts by letting x = 0:

[tex]f\left(x\right)=\left(0\right)^3-10\left(0\right)^2+28\left(0\right)-24 = - 24[/tex]

So the y-intercept is (0, -24). But remember we need one more point, as there has to be a transition between the x-intercepts. This is the minimum of the graph. To determine this, we take the derivative of the function, and then equate it to 0 to find the "critical points." :

[tex]\frac{d}{dx}\left(x^3-10x^2+28x-24\right)\\\\ =>\frac{d}{dx}\left(x^3\right)-\frac{d}{dx}\left(10x^2\right)+\frac{d}{dx}\left(28x\right)-\frac{d}{dx}\left(24\right)\\\\=> 3x^2-20x+28-0\\=> 3x^2-20x+28[/tex]

Now we equate this to 0, and apply the quadratic equation. In this case we can actually factor it :

[tex]3x^2-20x+28=0,\\\left(x-2\right)\left(3x-14\right)=0,\\\\x=2,\:x=\frac{14}{3}[/tex]

x = 2 is our maximum, or our x-intercept (2, 0). Therefore we have to take 14/3 as our minimum, and determine the y-value:

[tex]f\left(x\right)=\left(\frac{14}{3}\right)^3-10\left(\frac{14}{3}\right)^2+28\left(\frac{14}{3}\right)-24\\\\= -\frac{256}{27}[/tex]

Minimum: (14/3, -256/27)

Graph is in the attachment below -

Answer:

Convert all numbers into either decimals, fractions, or percents.

0.8=0.8

8%=0.08

18%=0.18

1/8=0.125

8/18=0.445

0.08<0.125<0.18<0.445<0.8

Convert back to original

8%,1/8,18%,8/18,0.8

Answer:

I think its D

Step-by-step explanation:

Answer:

you wrote that wrong cause ur answer is 0.01225490196

Step-by-step explanation:

Answer:

The answer is 321.6

Step-by-step explanation:

We have to go step by step when we are solving this.

Lets think of it like this

Does 25 go into 8? No! So lets put a 0 on the top (I see you already did that so good start)

Does 25 go into 80? Yes! How many times though? 3 times; So lets put a 3 on the top (Our top should look like 03) Since 25 goes into 80 3 times we need to multiply 25 and 3.  

25x3= 75 -> Subtract that 75 from 80

Now we have a remainder of 5. We are going to bring down the 4 so it can be a complete number, and now it would be 54.

Does 25 go into 54? Yes! How many times? 2 times; So lets put a 2 on the top (Our top should look like 032) Since 25 goes into 54 2 times we have to multiply 25 and 2.

25x2=50 -> subtract that 50 from 54 -> 54-50=4

Now we have a remainder of 4. Bring down the last number, 0 and now we should be with 40.

Does 25 go into 40? Yes! How many times? 1 time; therefore we will just be subtracting 25 from 40. (our top should look like 0321)

40-25= 15 -> we have a remainder of 15. 25 can't go into 15 because 15 is too small. Therefore we are going to have to make a decimal. So on the top add a decimal after 1 and bring down an invisible 0. (Our top looks like this 0321.)

Does 25 go into 150? Yes! How many times? 6 times; so lets multiply 25 and 6 and then subtract that from our 150 that is down there.

25*6= 150

150-150= 0

THAT MEANSSSSS..... our answer is 321.6! P.S yes drop that 0!

Hopefully this helped

AHAHAHAHAHAHA SO JM IS EQUAL TO 29⁰ AND YOU NEED TO FIND ANGLE L BUT I DON'T KNOW WHAT IT EQUALS TO

9514 1404 393

Answer:

Step-by-step explanation:

When there are two contributors to the mix, it usually works well to let a variable represent the quantity of the larger contributor. Here, that larger contributor is the quarter.

Let q represent the number of quarters. Then 59-q is the number of dimes. The value of the coins, in cents, is ...

  25q +10(59 -q) = 1205

  15q +590 = 1205 . . . . . . . . eliminate parentheses, collect terms

  15q = 615 . . . . . . . . . . . subtract 590

  q = 41 . . . . . . . . . . divide by 15

  59-q = 59 -41 = 18 . . . . . number of dimes

You have 41 quarters and 18 dimes.

Answer:

5x(y+2)

Step-by-step explanation:

Answer:

You cannot add them because they both don't have the same like terms.

But if you just straight out add your answer would either be 15xy or just 15x

Step-by-step explanation:

Sorry hope this helped in someway

Answer:

12

Step-by-step explanation:

12

164

Step-by-step explanation:

The solution is,  a coat cost on sale =  $164.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

At a sale, coats were sold for 82% of their original price.

If the coats originally cost $200 each,

so, a coat cost on sale = $200* 82%

                                     =$164

Hence, The solution is,  a coat cost on sale =  $164.

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Answer: what is the question

Step-by-step explanation:

Answer:

x = -30

-30 + 35 = 5

Step-by-step explanation:

Answer

its d

Step-by-step explanation:

The expression that is represented by the model below is -

y = 2 x 3/8.

An expression in mathematics is a combination of terms both constants and variables.

Given are two labelled bars shown next to each other and each bar.

3 of the 8 bars are colored. Using fraction, we can represent it as -

{f} = 3/8

There are two such bars, so we can write -

y = 2{f}

y = 2 x 3/8

Therefore, the expression that is represented by the model below is -

y = 2 x 3/8.

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Answer:

The lines are parallel

Step-by-step explanation:

Answer:

Step-by-step explanation:

Put the equations into slope-intercept form.

x-5y = 30 ⇒ y = ⅕x - 6

10y = 2x + 90 ⇒ y = ⅕x + 9

Both lines have slope = ⅕, so the lines are parallel.

Answer:

[tex]\frac{9}{64}[/tex]

Step-by-step explanation:

Probability refers to chance of occurrence of any event.

Probability that each of them is germinates [tex]=\frac{3}{4}[/tex]

So,

Probability that each of them is germinates won't germinate [tex]=1-\frac{3}{4}=\frac{1}{4}[/tex]

Probability that only one of them will germinate = [tex]=\frac{3}{4}(\frac{1}{4})^2=\frac{9}{64}[/tex]

Step-by-step explanation:  1 will now become a 2, so the answer is 1.2.1,

Answer:

C

Step-by-step explanation:

According to my calculations Its c

Answer:

A. Yup. A.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

360 is a full rotation and 90 is a quarter

Answer: C

Step-by-step explanation:

Answer:

He used 6 bananas at .50 which cost $3.00

12 oranges at .75 which cost $9.00 and

3 papayas at $1.25 which cost $3.75

Step-by-step explanation:

We can set up a system of equations using the information given.

b for banana, r for orange, p for papaya

b + r + p = 21. Also given r = 2b So substitute to simplify for calculating two unknowns:

b + 2b + p = 21 The number of items.

50b + 75(2b) +125p = 1575 The cost.

I multiplied everything by 100 to eliminate the decimals.

To solve by substituion, rewrite the first equation to get a value for p in terms of b

p = 21 - 3b

Substitute this value in the second equation and solve for b.

50b + 150b + 125(21–3b) = 1575

200b +2625 –375b = 1575 Subtract 2625 from both sides and combine the like terms:

–175b = 1575 –2625

–175b = –1050. Divide both sides by –175

b = 6

Substitute in the original equation to find the amount of each fruit:

b + r + p = 21

b = 6 bananas

r = 2b. 2(6) = 12 oranges. I used r so as not to mix up o with 0.

6 + 12 + p = 21

p = 21 –18

p = 3 papayas

Answer:

120 deg

Step-by-step explanation:

There is an angle symbol in the equilateral triangle and another symbol in half of the vertex angle. Those two angles are congruent.

The measure of the vertex angle is 2 * 60 deg = 120 deg

Answer: 120 deg

Answer: 20ft, 16ft

Step-by-step explanation:

Because 0.5in=2ft, you would divide the length (5in) and the width (4) both by 0.5. Which give you 10 for the length and 8 for the width. Then you multiply both of those products by 2 and that gives you your answer. 20ft and 16ft. Hope this helps. :)

Answer: =2  2/ 3

Step-by-step explanation:

Answer:

My answer is 55 or 60  which would be 100%

Step-by-step explanation:

Answer:

si cardo bahyanbayansusb

Answer:

answer C: 140 cm

Step-by-step explanation:

If the water rises 14cm in 2 seconds, 21cm in 3 seconds etc... Then the water rises at 7cm per second. Multiply this by 20 seconds and you get 140cm

By find how high the water would be after 20 seconds, you would find out much height is increasing each second.

21 - 4 = 7

28 - 21 = 7

35 - 35 = 7, and so forth.

So, we know that 7 cm is increasing each second. You would just add 7 to the height for each second.

2 --> 14

3 --> 21

4 --> 28

5 --> 35

6 --> 42

7 --> 49

8 --> 56

9 --> 63

10 --> 70

11 --> 77

12 --> 84

13 --> 91

14 --> 98

15 --> 105

16 --> 112

17 --> 119

18 --> 126

19 --> 133

20 --> 140

Thus, after 20 seconds, the water's height would be c) 140 cm.

Answer: Me don’t know

Step-by-step explanation:

65%

Step-by-step explanation:

130000/200000*100=65%

Answer:

9

Step-by-step explanation:

Let the fourth proportional be x Then

2 : 3 :: 6 : x

2/3 = 6 / x

2x = 3 * 6

x = 18 / 2

x = 9

Hope it will help :)

Answer:

A,B,C,E

Step-by-step explanation:

for a everything is multiplied by 10

for c everything is divided by 6

for b everything is divided by 12

e is the only other one that fits

for a everything is multiplied by 10

for c everything is divided by 6

for b everything is divided by 12

e is the only other one that fits

ABCE is the answer to the question