when simplifying the expression y=(2x(x-3)(x-3))/(x-1)(x-3) do all of the x-3 s get cancelled or just one in the numerator and one in the denominator?​

Answer:

248.96.

Step-by-step explanation:

We write  it as:

(2 + 0.2)^7 = 2^7 + 7*2^6*0.2 + 7C2*2^5*(0.2)^2 + 7C3*2^4(*(0.2)^3

= 128 + 89.6 + 26.88 + 4.48

= 248.96.

Answer:

x = 2

Step-by-step explanation:

Answer:

Option B is the correct option.

Step-by-step explanation:

[tex] \mathrm{ - \frac{4}{5} \div 2}[/tex]

[tex] \mathrm{dividing \: a \: negative \: and \: a \: positive \: equals \: a \: negative \:. \: ( - ) \div ( + ) = ( - )}[/tex]

[tex] \mathrm{ - \frac{4}{5} \div 2}[/tex]

[tex] \mathrm{dividing \: is \: equivalent \: to \: multiplying \: with \: the \: reciprocal}[/tex]

[tex] \mathrm{ - \frac{4}{5} \times \frac{1}{2} }[/tex]

[tex] \mathrm{reduce \: the \: numbers \: with \: G.C.F \: 2}[/tex]

[tex] \mathrm{ - \frac{2}{5} }[/tex]

Hope I helped!

Best regards!

The quotient of  -4 /5 divide 2 would be equal to -2/5 in simplified form.

Quotients are the number that is obtained by dividing one number by another number. We can use the fact that division can be taken as multiplication but with the denominator's multiplicative inverse.

We have been given that  -4 /5 divide 2

Thus, we have to divide the terms as;

-4 /5   ÷ 2

Therefore,  -4 /5 x 1/ 2

-2/5

Hence, the quotient of  -4 /5 divide 2 would be equal to -2/5 in simplified form.

Learn more about the quotient;

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Answer:

16-degree decrease

Step-by-step explanation:

Take the final temperature of -12   and subtract the initial temperature of 4

-12 - 4

-16

The change in temperature is 16 degrees

The minus sign tells us it was a decrease

Answer:

i think 16 degree decrease

Step-by-step explanation:

sorry if im wrong i tried to help

Answer:

[tex]\Large \boxed{\mathrm{78 \ units^2 }}[/tex]

Step-by-step explanation:

The area of the trapezoid can be found by adding the area of the triangle and the area of the rectangle.

Area of rectangle = base × height = 2 × 12 = 24 units²

Area of triangle = base × height × 1/2

The base is missing for the triangle. Apply Pythagorean theorem to solve for the base.

12² + b² = 15²

b = 9

9 × 12 × 1/2 = 54 units²

Adding the areas.

54 units² + 24 units² = 78 units²

Answer:

its 78 units on khan academy :)))

Step-by-step explanation:

Answer:

A'(5, 2), B'(5, -1), C'(6, -1), D'(6, 2)

Step-by-step explanation:

A transformation is the movement of a point from its initial position to a final position. If an object is transformed all its points are also transformed. Types of transformation are reflection, rotation, translation and dilation.

If a point O(x, y) is translated left by h unit, the new coordinate is O'(x-h, y) while if O(x, y) is translated right by h unit the new coordinate is O'(x+h, y)

If a point O(x, y) is translated up by h unit, the new coordinate is O'(x, y+h) while if O(x, y) is translated down by h unit the new coordinate is O'(x, y-h)

The location of the shape as shown in the diagram is:

A(3, 6), B(3, 3), C(4, 3), D(4, 6)

If the points are translated two yards East and four yards south, it means it is translated 2 unit right and 4 unit down i.e. (x+2, y-4). The new coordinates are:

A'(5, 2), B'(5, -1), C'(6, -1), D'(6, 2)

Answer:

ombining the expressions from parts E and F, for any given initial point (x, y), the coordinates of the new point after a translation of two yards east and four yards south are (x + 2, y + (-4)).

Step-by-step explanation:

this is more simple

Answer:

4x(x+2) - x(3x+5)

Step-by-step explanation:

the area of the whole box is 4x(x+2)

to find the area of the shaded portion you have to subtract the area of the tiny box from the big box

the area of the tiny box is x(3x+5)

so, 4x(x+2) - x(3x+5) is the expression you can use to find the area of the shaded portion

Answer:  assuming g(x) is the inverse of f(x)

domain of g(x) = range of f(x)

range of g(x) = domain of f(x)

Answer:

Just restart your computer

Answer:

D

Step-by-step explanation:

-1/2x > 6 (you have to flip the sign when you multiply or divide by negative

x < -12

Answer:

-2≤x≤2   f(x)=[x+3]

first  the sign is ≤ it means the point is solid point and the interval is x+3

Step-by-step explanation:

Answer:

I don't know search it up I picked B

okay it's 5 and I'm

Answer:

1-4b + 3b+11

1-11+4b+3b

-10+6b

-16

Step-by-step explanation:

[tex] {9}^{ - 53} . {9}^{37} [/tex]

To solve this question we use the rules of indices

Since the bases are the same and are multiplying we add the exponents using the formula

So for the above question we have

We have the final answer as

Which is the same as

Hope this helps you

Step-by-step explanation:

It's answer D.

THe original plot of x^2 has it top point in the (0,0) so in the centre of the system.

There is a coloured surface just inside the first plot x^2 -4 and also just inside the second one x^2 +6

Answer:

-0.5 > -7/11

Step-by-step explanation:

-7/11 = -0.636

-0.5>0.6

Answer:

Increase in profit = 531.52

Step-by-step explanation:

I'll take your word for it.

What you'd need to do for each kind of pizza and price, multiply the number sold and profit/loss for each, and add them up.

Calculations have been tabulated and shown in the attached diagram.

Answer

Increase in profit

= 2221.88 - 1690.36

= 531.52

Answer:

12.198

Step-by-step explanation:

the thousandth is the third digit after the decimal point, so you round the next number after it, which is 5. so you round it up, ends with 12.198

We get 12.198 after rounding it to the nearest thousandth.

The rounding off decimal places is similar to the basic round-off. We check the previous number. If it is greater than or equal to 5, we increase the value up to which we are rounding by 1, or else keep it the same when the previous digit is less than 5.

The order of digits for decimal places is opposite to the normal number system.

In the number system we have units place, then tens place, then hundreds place, then thousands place, and like that.

In the decimal number system, we start from the highest and go on decreasing.

The first decimal place is the tenth place.

The second decimal place is the hundredth place.

The third decimal place is the thousandth place.

And so on.

In the question, we are asked to round 12.1975 to the nearest thousandth.

As discussed above, the nearest thousandth means rounding off up to the third decimal place.

So we round off 12.1975 up to the third decimal place, that is, we round off up to 7.

The next digit is 5, so we increase 7 by 1 to 8.

Thus, we get 12.198 after rounding it to the nearest thousandth.

Learn more about rounding off decimal places at

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Answer:

[tex]\boxed{81}[/tex]

Step-by-step explanation:

9 raised to 2 is

=> [tex]9^2[/tex]

=> 9 * 9

=> 81

Answer:

A - 672

Step-by-step explanation:

Any number divisible by both 3 and 2 is divisible by 6.

Answer:

A

Step-by-step explanation:

Since the theta is in second quadrant, x will be negative and y positive. cos(theta)=-2/sqrt(29)=B/H, the base is 2 and H=sqrt(29). The perpendicular is 5.

D is a vertical angle to the given 159 degrees.

E + D need to equal 180 degrees.

E = 180 - D

E = 180 - 159

E  = 21 degrees

Answer: 21 degrees.

Answer: e = 21°

Step-by-step explanation:

Angle d will be 159° because alternate exterior angles are equal.

Now angle e + angle d = 180 because they form linear pair

e + d = 180

e + 159 = 180

e = 180-159

e = 21

please click thanks and mark brainliest if you like :)

Answer:

8

Step-by-step explanation:

If we have anything to the third power, we are multiplying the number by itself 3 times.

If x = 2, then the expression is [tex]2^3[/tex].

[tex]2\cdot2\cdot2=8[/tex]

Hope this helped!

Answer:

8

Step-by-step explanation:

Exponents is repeated multiplication, so what we are doing in this problem is that we are multiplying 2 by itself 3 times.

2 * 2 = 4

4 * 2 = 8

Answer:-6

Step-by-step explanation:it j told me the answer haha

Answer:

64

Step-by-step explanation:

Answer:

1.4071

Step-by-step explanation:

The relationship between the elapsed time, t in days, since an ocean sunfish is born, and its mass is given by:

[tex]M_{day}(t)=3.5(1.05)^t[/tex]

This function represents an exponential growth increasing as the number of days increases since (3.5 > 1), it means that at day 0 , the mass of the sunfish is 3.5 milligrams and every day, its mass increases by a factor of 1.05.

Since the mass of the sunfish increases by [tex]1.05^t[/tex], therefore the mass of the sunfish increases every one week (that is 7 days) by a factor of [tex]1.05^{7} = 1.4071[/tex]

Answer:

11 mushrooms

Step-by-step explanation:

If Colin has 22 more mushrooms than Sophie, then Sofie has 22 less. Half of 22 is 11, so Colin should have 11 less, and Sophie should have 11 more. If you plug a random value into Sophie's mushrooms, this should still work. For example, if Sophie has 2 mushrooms and Colin has 24, they'll both have 13.

Hello, we know that for a and b real numbers

[tex]a^2-b^2=(a-b)(a+b)[/tex]

So,

[tex](2a-b)^2-(a-2b)^2=(2a-b-a+2b)(2a-b+a-2b)\\\\=(a+b)(3a-3b)\\\\\boxed{=3(a+b)(a-b)}[/tex]

Thank you.

Answer: [tex]x=\dfrac{25}{21}[/tex]

Step-by-step explanation:

Area of parallelogram = Base x height

If two parallelograms are similar, then their corresponding sides are proportional.

That means, [tex]\dfrac{\text{Area of first parallleogram}}{\text{Area of second parallleogram}}=\dfrac{\text{height of first parallelogram}}{\text{height of second parallelogram}}[/tex]

[tex]\Rightarrow \dfrac{3x+5}{9x}=\dfrac{16}{20}\Rightarrow \dfrac{3x+5}{9x}=\dfrac{4}{5}\\\\\Rightarrow 5(3x+5)=4(9x)\\\\\Rightarrow\ 15x+25 = 36x\\\\\Rightarrow\ 36x-15x=25\\\\\Rightarrow\ 21x = 25\\\\\Rightarrow\ x=\dfrac{25}{21}[/tex]

Hence, [tex]x=\dfrac{25}{21}[/tex]