**Find all x - coordinates on the curve y = 2x ^ 3 - 3x ^ 2 - 12x + 20 where the tangent line is parallel to the x-axis.

Answer:

125 and 0.292

Step-by-step explanation:

Think about it as a system of equations:

1)

[tex]a+b=125 +1/3\\a=125.33-b\\\\2) ab=36+1/2\\[/tex]

at this point you can insert the equation you got from 1.

[tex](125.33-b)b=36.5\\125.33b-b^2=36.5\\b^2-125.33b+36.5=0[/tex]

with this form, you can use the quadratic equation to find your two possible answers.

following the quadratic equation we find that our answers are 125 and 0.292

Answer:

Zack is correct with the -4.5

Step-by-step explanation:

When multiplying by .5 just cut the number in half so 4.6 becomes 2.3 and since the .5 was negative the 2.3 becomes a negative so -2.3 -2.2=-4.5

Hope this helped.

A brainliest is always appreciated.

Answer:

56.57

Step-by-step explanation:

Answer:

Cant

Step-by-step explanation:

The triangle ABC is a right triangle

The length of AC is 12.00 cm

From the figure, we have the following parameters:

Length AB = 13 cm

Angle A = 22.6 degrees

Represent the length AC with b.

So, we have the following cosine ratio

[tex]\cos(A) = \frac{b}{AB}[/tex]

Substitute known values

[tex]\cos(22.6) = \frac{b}{13}[/tex]

Make b the subject

[tex]b = 13 * \cos(22.6)[/tex]

Evaluate the product

[tex]b = 12.00[/tex]

Hence, the length of AC is 12.00 cm

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Answer:

depends on how many other colours are there as well let's say there are N no. of colours then the probability is 100/N

Answer:

the answer is D

Step-by-step explanation:

Because the point of x=4 is passed through the point (0,4).

Answer:

  x -4y = -24

Step-by-step explanation:

Given the equation of a line in standard form, you can write the equation of the perpendicular line by swapping the coefficients and negating one of them. The constant needs to be adjusted to make the equation true at the point you want the line to pass through.

  4x +y = 7 . . . . given line

  x -4y = constant . . . . equation with coefficients swapped, one negated

  x -4y = (-4) -4(5) = -24 . . . . equation with appropriate constant

An equation for the desired line is ...

  x -4y = -24

__

Additional comment

The standard form equation has a positive leading coefficient, so the choice of which coefficient to negate will take that into account.

The slope of the standard form line ...

  ax +by = c

is m = -a/b.

The slope of the perpendicular line is the opposite reciprocal of this:

  m' = -1/m = b/a

You can see that this swaps the coefficients and negates one of them.

Answer:

Given,

Dimensions of rectangular prism

Length= 10in

Breadth=2in

height= 3(1/2) or 7/2

Dimension of cube = 1/2in

Let the number of cubes be x

A.T.Q(According to question)

Vol. of rectangular prism= Vol. of Square× Number of cubes

l×b×h = a³

= > 10×2×7/2 = (1/2)³× x

x = 560

So the number of cubes required to fill the prism is. 560

Answer:

X = 20

Step-by-step explanation:

If the 100 is on the right side, and they are the same length, that means that  you have to find 5 x what = 100. So 5 x 20 = 100

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Answer:

$1,800

Step-by-step explanation:

($900)(0.1)(10) = $900

$900 + $900 = $1,800

Answer:

8:9

Step-by-step explanation:

when it comes to ratios and it asks you what the ratio is and theirs no division, adding, multiplication, subtraction, or anything like then you just take the first number and the second number then put this : between the two numbers and that's it

Answer:

Step-by-step explanation:

Unit of area is m^2, so last choice

Answer:

Step-by-step explanation:

Find the scale between sides xz and gh

18/4 = 4.5

Multiply the length of fh by the scale to find x

6 x 4.5 = 27

x = 27

The fraction that represents the addition model shown above will be 53/100.

From the information given, a grid with 10 equal columns is shown with 5 shaded in. This will be expressed as 5/10.

Also, a second grid is shown, identical in size, containing 100 squares with 3 shaded in. This will be expressed as 3/100.

Therefore, the problem that represents the addition model shown above will be:

= 5/10 + 3/100

= 50/100 + 3/100

= 53/100

In this case, the answer given by Emma is incorrect as he added 5 to 3 and got 8/100.

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Answer:

(A) 33.9 (B) 22.6

Step-by-step explanation:

We first need to round to the nearest dollar for both prices. Lets examine both numbers.

$30.12       $19.93

We can round $30.12 to $30 since the number in the tenths place is 1 and we can round $19.93 to $20 since there is a nine in the tenths place.

Now we must find the tax for each number. We can do that by multiplying each number by 0.13 since that is 13% in decimal form. Lets do that now

[tex]30*0.13=3.9[/tex]           [tex]20*0.13=2.6[/tex]

Now we can find the final price for each number by adding the tax to the rounded price.

[tex]30+3.9=33.9[/tex]          [tex]20+2.6=22.6[/tex]

Hence, (A) 33.9, (B) 22.6

Answer:

96 cubic inches

Step-by-step explanation:

8x3=24=area x4 = 96 = volume

Answer:

the answer should be 96 inches, hope this helps

Step-by-step explanation:

Answer:

B

JUST TOOK THE UNIT TEST REVIEW

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Answer:

C. A chart displaying the amount of care pets require.

Step-by-step explanation:

(A). A picture of common house pets.

This wouldn't be effective since everyone knows what most common house pets look like.

(B). A picture of common pet supplies.

This wouldn't be effective since pet supplies vary with every animal.

(C). A chart displaying the amount of care pets require.

This would be the best choice since the image would show the required necessities for each different pet.

(D). A chart displaying which pets are the most popular.

This wouldn't be effective since popularity is mostly based on preference.

Answer:

[tex]\frac{y^2x^3*12}{10}[/tex]

Step-by-step explanation:

Answer:

x=17/5

i hope this helps

Answer:

ОА

The system has two solutions, and both are viable because they result in positive side lengths.

Step-by-step explanation:

Answer:

V =226.98

Step-by-step explanation:

V=π[tex]r^{2}[/tex]h

=π =4.252·4

≈226.9800

Answer:

Hope it help

Step-by-step explanation:

.......................................

Answer:

b

Step-by-step explanation:

Answer: x(0.035)+w

Step-by-step explanation:

to find out the percent she gets from sales you multiply that by the percent she earns then add it to the 2400 which she already makes

Solution:

Note that:

Finding the volume:

Converting into scientific notation: