Simplify this expression. (Distributive Property) 4(6p+2q-2p)

Answer:

- x³ - 9x²

Step-by-step explanation:

Given

- (3x³ + x² ) + 2(x³ - 4x² ) ← distribute both parenthesis

= - 3x³ - x² + 2x³ - 8x² ← collect like terms

= - x³ - 9x²

The expression in the simplest form is -x³ - 9x².

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression is - (3x³ + x² ) + 2(x³ - 4x² )  will be solved as below:-

E = - (3x³ + x² ) + 2(x³ - 4x² )

E = - 3x³ - x² + 2x³ - 8x²

E = - x³ - 9x²

Therefore, the expression in the simplest form is -x³ - 9x².

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Answer:

When I work with function composition, I usually convert "( f o g)(x)" to the more intuitive " f (g(x))" form. This is not required, but I certainly find it helpful. In this case, I get:

(g o f )(1) = g( f(1))

This means that, working from right to left (or from the inside out), I am plugging x = 1 into f(x), evaluating f(x), and then plugging the result into g(x). I can do the calculations bit by bit, like this: Since f(1) = 2(1) + 3 = 2 + 3 = 5, and since g(5) = –(5)2 + 5 = –25 + 5 = –20, then (g o f )(1) = g( f(1)) = g(5) = –20. Doing the calculations all together (which will be useful later on when we're doing things symbolically), it looks like this:

(g o f )(1) = g( f (1))

  = g(2(   ) + 3)   ... setting up to insert the original input

  = g(2(1) + 3)

  = g(2 + 3)

  = g(5)

  = –(   )2 + 5    ... setting up to insert the new input

  = –(5)2 + 5

  = –25 + 5

  = –20

Note how I wrote each function's rule clearly, leaving open parentheses for where the input (x or whatever) would go. This is a useful technique. Whichever method you use (bit-by-bit or all-in-one), the answer is:

(g o f )(1) = g( f (1)) = –20

I just computed (g o f )(1); the composition can also work in the other order

Step-by-step explanation:

The value of a is 4.

Hence, a = 4

Here,

[tex]f(x) = (5 - x)^3 and, g(x) = a + x^2,[/tex]

and [tex]f(g(x)) = (1 - x^{2} )^3[/tex]

We have to find the value of a.

What is composite function?

Function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)).

Now,

[tex]f(x) = (5 - x)^3 and, g(x) = a + x^2,[/tex]

and [tex]f(g(x)) = (1 - x^{2} )^3[/tex]

⇒ [tex]f(g(x)) = f ( a + x^{2} )[/tex]

⇒ [tex]f ( a + x^{2} ) = ( 5 - a - x^{2} )^3[/tex]

And,

[tex]f(g(x)) = (1 - x^{2} )^3[/tex]

[tex]( 5 - a - x^{2} )^3 = ( 1 - x^{2} )^3\\[/tex]

Taking cube root both sides,

[tex]( 5 - a - x^{2} ) = ( 1 - x^{2} )\\ 5 - a - x^{2} = 1 - x^{2} \\a = 4[/tex]

Hence, The value of a = 4.

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Hey there! I'm happy to help!

NUMBER 1

This is a trick to solve any proportion.

Multiply the diagonal numbers.

5(16)=80

Divide by the number that isn't the one you want to find.

90/8=10

And you are left with the number you haven't touched. We haven't touched x, so x=10.

NUMBER 2

Cross multiply.

45(-50)=-2250

Divide.

-2250/3=-750

So x=-750.

QUESTION 3

4(27)=108

108/12=9

So x+3=9, subtract 3 from both sides x=6.

Have a wonderful day! :D

Answer:

56/125

Step-by-step explanation:

Ok, so we know evaluate means to solve or to work out the situation. In this case we got 1.4•0.32. So, what we'll have to do is to solve this mathmatical equation 7/5 (1.4) • 8/25 (0.32) this in fractional form what we did is turnrf the decimal form of each reprecient of the problem into fractions. How to turn decimals in fractions is to simplify. Once, you've done that evaluate 7/5 and 8/25. This should get you 56/125.

Answer:

0.448

Step-by-step explanation:

Step-by-step explanation:

Notice it is not asking for an average rate, just her current rate. Approach this like this: say she is at the 29 mile "marker." In 3 hours, she gets to the 38th mile "marker." Therefore:

38-29 = 9, so in 3 hours, she went 9 miles.

9 miles/3 hours = 3 miles per hour, which would be equal to her current rate.

Answer:

[tex]27x - 15[/tex]

Step-by-step explanation:

When we apply the distributive property, we multiply all the terms inside the parentheses by the term directly outside of it.

So:

[tex]9x \cdot 3 = 27x[/tex]

[tex]-5 \cdot 3 = -15[/tex]

Putting these together, we get [tex]27x-15[/tex].

Hope this helped!

Answer:

x > 2

Step-by-step explanation:

5x +  1/3 * (3x + 6) > 14

5x + x + 2 > 14

6x + 2 > 14

6x > 12

x > 2

Answer:

x>2

Step-by-step explanation:

6x+2>14

6x>12

x>2

hope this helped a bit

Answer:

here you go! 36

Step-by-step explanation:

Answer:

Google mid point formula and plug in your variables

Step-by-step explanation:

hope this helps :)

Answer:

2 1/2

Step-by-step explanation:

Answer:

aqui esta la respuesta espero que te ayude

Answer:

C

Step-by-step explanation:

It is a function because it passes the vertical line test and Xs do not repeat, then count out the Y-values which are the range.

Answer:

[tex]( - 4.6) + (3. - 7) = 0.6[/tex]

By the distance formula,

[tex]d = \sqrt{( x_2 - x_1) {}^{2} + (y_2 - y_1 {)}^{2} }[/tex]

Here,

[tex]x_1 = -4[/tex]

[tex]y_1 = 6[/tex]

[tex]x_2 = -7[/tex]

[tex]y_2 = 3[/tex]

Hence,

[tex]d = \sqrt{( {(-7 )+(- 4))}^{2} + {( 3 + 6)}^{2} } [/tex]

[tex]d = \sqrt{ {(-11)}^{2} + {9}^{2} } [/tex]

[tex]d = \sqrt{121+ 81} [/tex]

[tex]d = \sqrt{202} [/tex]

Answer:

[tex]x = -\frac{2}{21}[/tex]

hope that helped ;w;

Answer: ____Average__

Answer:

Other words for mean are cruel, rude, unkind, nasty, and unpleasant.

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Answer:

32 is composite and the rest are not. Hope this helps!

Step-by-step explanation:

Answer:

Set 16/2000 = x/5000 and solve for x. = 40 trees saved.

Step-by-step explanation:

Answer: the answer would be 42.5 but i’m assuming that you would round.

Step-by-step explanation:

2000/ 17 = 5000/ x

cross multiply

85,000 = 2,000x

simplify(divide by 2000)

x= 42.5

Answer:

The answer is Option 1

Step-by-step explanation:

[tex]\sqrt{10}[/tex] = approximately 3.16

3.16 is in between 3 and 3.5

Answer:

what im thinking is $65

Step-by-step explanation:

Answer:

x=14

Step-by-step explanation:

2 times x = 2x and 2 time 9 is 18 so the equation is 2x-18=10. then you add 18 to both sides and get 2x=28 then simplify to x=14

Answer:

x=14

Step-by-step explanation:

2(x-9)=10

Step one - Simplify both sides

(2)(x)+(2)(-9)=10 (distribute)

2x+-18=10

2x-18=10

Step two - Add 18 to both sides

2x-18+18=10+18

2x=28

Step three - Divide both sides by 2

2x÷2 = 28÷2

x= 14

Answer:

x=14

Answer:

G. $9,200

Step-by-step explanation:

average depreciation = (amount of depreciation)/(number of years)

The amount of depreciation is the difference between the new cost and the current value.

amount of depreciation = $85,600 - $30,400 = $55,200

number of years = 6

average depreciation = (amount of depreciation)/(number of years)

average depreciation = ($55,200)/(6 years)

average depreciation = $9,200/year

Answer: G. $9,200

Answer: 1/2 power of 5 aight

1/2+1/2+1/2+1/2+1/2= 2 1/2

Step-by-step explanation:

1/2⁵ = 1/2 × 1/2 × 1/2 × 1/2 × 1/2 × 1/2

1/2⁵ = 1/64

Answer:

20,136

Step-by-step explanation:

Follow My  -Tae.Nevacared 7777

Answer:

  b)  f(3) is defined, but is not equal to the limit

Step-by-step explanation:

The portion of the function defined by the rational expression is equivalent to x/(x+3), which has a value of 1/2 at x=3. This is the limit of f(x) from the left or right as x approaches 3. However, the function is not defined at that point as 1/2. Rather, it is defined to be f(3)=1.

So, the limits at f(3) exist and are 1/2, but the function is defined as a different value there.

The only applicable statement is the second one.

Answer:

y = 5

Step-by-step explanation:

Answer:

y=5

Step-by-step explanation:

10/5y-13=-3

add thirteen to both sides

10/5y=10

multiply both sides by five

10y=50

divide both sides by 10

y=5

Answer:

I hope the above pic will help you :)

Answer:

= and [tex]\leq[/tex] and [tex]\geq[/tex]

Step-by-step explanation:

Absolute value -9 is 9, but there is a negative sign so it is -9

-9=-9

Greater than or equal to works because of the equal sign.

Less than or equal to also works because of the equal sign.

Answer:

27/50

Step 1 Remove the decimal and write the given number divided by 1

Step 2 After decimal how many digits are there write that much 0 after 1

Step 3 Then Simplify or reduce the fraction