Negative seven is less than negative six.
True or False

Answer:

U = 5x^3

V = 3

(5x^3 - 3)^2

Step-by-step explanation:

(1) The value of U and V are U = 5x³ and V = 3.

(2) The factored form of 25x⁶ - 30x³ + 9 is (5x³3 - 3)²

A basic quadratic equation, or a second-order polynomial equation with a single variable, is represented by the equation x : ax² + bx + c = 0, where a≠0 for the variable x. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.

We can factor the expression 25x⁶ - 30x³ + 9 by first noticing that each term is a perfect square:

25x⁶ = (5x³)²

30x³ = 2(15x³)

9 = 3²

Now we can write the expression as the difference of two squares:

25x⁶ - 30x³ + 9 = (5x³)² - 2(5x³)(3) + 3²

Let U = 5x³ and V = 3. Then we have:

(5x³3 - 3)²

Therefore, the factored form of 25x⁶ - 30x³ + 9 is (5x³3 - 3)².

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You may be asked to "determine algebraically" whether a function is even or odd. To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even. If you end up with the exact opposite of what you started with (that is, if f (–x) = –f (x), so all of the signs are switched), then the function is odd.

In all other cases, the function is "neither even nor odd".

Let's see what this looks like in action:

Determine algebraically whether f (x) = –3x2 + 4 is even, odd, or neither.

If I graph this, I will see that this is "symmetric about the y-axis"; in other words, whatever the graph is doing on one side of the y-axis is mirrored on the other side:

graph of y = –3x^2 + 4

This mirroring about the y-axis is a hallmark of even functions.

Also, I note that the exponents on all of the terms are even — the exponent on the constant term being zero: 4x0 = 4 × 1 = 4. These are helpful clues that strongly suggest to me that I've got an even function here.

But the question asks me to make the determination algebraically, which means that I need to do the algebra.

So I'll plug –x in for x, and simplify:

f (–x) = –3(–x)2 + 4

= –3(x2) + 4

= –3x2 + 4

I can see, by comparing the original function with my final result above, that I've got a match, which means that:

f (x) is even

Answer:

3x-3(6) = 3x-18

Step-by-step explanation:

Answer:

a

    [tex]A =  \$66 \foot [/tex]

b

   tex]C(10)' = \$60  /  feet[/tex]

c

   [tex]C(10)' = \$79.696 \ feet  [/tex]

Step-by-step explanation:

From the question we are told that

  The price per square foot of a floor tile is  [tex]p = \$ 3[/tex]

   The cost of shipping is  [tex]s =  \$ 20[/tex]

  The current length of the square bathroom is x =  10 ft

   The new length is  [tex]x_ 1 =  12 \  ft[/tex]

Generally the equation representing the cost of the square tile is mathematically represented as  

       [tex]C(x) =  3x^2 + 20[/tex]

Generally the average rate of change of cost is mathematically represented as

   [tex]A =  \frac{ cost \ for\  a \  12 feet \  bathroom - cost \ for\  a \  10 feet \  bathroom  }{12 feet  - 10 feet}[/tex]

Generally the cost for flooring a 12 feet square bathroom is mathematically represented as

             [tex]C(12) =  3(12)^2 + 20[/tex]

=>           [tex]C(12) = \$ 452 [/tex]

Generally the cost for flooring a 10 feet square bathroom is mathematically represented as

            [tex]C(10) =  3(10)^2 + 20[/tex]

=>          [tex]C(10) =  \$320[/tex]

So

            [tex]A =  \frac{ 452- 320 }{12 feet  - 10 feet}[/tex]

=>          [tex]A =  \$66 \foot [/tex]

Generally the instantaneous rate of change of cost is obtained by the differentiating the cost function as follows

         [tex]C(x) =  3x^2 + 20[/tex]

         [tex]C(x)' = \frac{dC(x)}{dx}  =  6x[/tex]

So the instantaneous rate of change of cost at length 10 feet is mathematically represented as

         [tex]C(10)' = 6(10)[/tex]

=>       [tex]C(10)' = \$60  /  feet[/tex]

Generally given that the new cost function is  

         [tex]C(x) =  20(1 + sinx) + 3x^2[/tex]

Now the instantaneous rate of change of cost will now be

       [tex]C(x)' =  20cos(x) + 6x[/tex]

So the instantaneous rate of change of cost at length 10 feet is mathematically represented as

         [tex]C(10)' =  20cos(10) + 6* 10 [/tex]

=>        [tex]C(10)' = \$79.696 \ feet  [/tex]

x = 3

y = 1

Hi !

6x - 5y = 13

9y - 15 + 2x = 0

6x - 5y = 13

2x + 9y = 15 | ×(-3)

6x - 5y = 13

- 6x - 27y = - 45

add

6x - 6x - 5y - 27y = 13 - 45

- 32y = - 32 | ×(-)

32y = 32

y = 1

replace y = 1

6x - 5(1) = 13

6x - 5 = 13

6x = 13 + 5

6x = 18

x = 3

Good luck !

Answer:

8 for $1.00

step by step explanation:

Answer:

That would be B Collinear

Answer:

B: Collinear

Step-by-step explanation:

Let's look at the answer choices, shall we?

-Coplanar is two lines or points on the same plane.

-Supplementary is where two angles measure to 180 degrees

- Parallel lines are where two lines have the same slope and will never intersect

The only other option is collinear, which happens to have the definition of two points on the same line.

The equation that can be used to find the cost of each ticket is 4x = 52.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 6 is an equation.

We have,

Number of people who bought the tickets = 4

The total cost of tickets = $52

Now,

The cost of each ticket.

= 52 ÷ 4

= 13

Now,

Cost of one ticket = x

4x = 52

x = 52/4 = 13

Thus.

The cost of each ticket is $13.

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Answer:

$15

Step-by-step explanation:

30 - (12+15)

30-27=3

18-3=15

Hope this helps ;)

Answer:

Not sure, not good with lines, but I think I did it correctly. EM = Neither TC= Perpendicular.

Answer:

40,000,000 or 40 million

Step-by-step explanation:

Answer:

Since there is one value of  y  for every value of  x  in  ( 1,−2) ,( 2,1),(3,6), (4,13 ) ,(5 ,22 ) , this relation is a function.

The relation is a function.

A relation is a function if it has only one y-value for each x-value. The relation (1,−2), (2,1), (3,6), (4,13), (5,22) is a function.

A relation is a function if it has only one y-value for each x-value.

The given relation is one comma minus two

two comma one

three comma six

four comma thirteen

five comma twenty two.

(1,−2), (2,1), (3,6), (4,13), (5,22)

In the ordered pairs (x, y) , there should not have same y value.

As we observe there are only one y values for x value.

Every domain element is have unique codomain element.

Hence the relation  (1,−2), (2,1), (3,6), (4,13), (5,22) is a function.

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Answer:

Step-by-step explanation:

x=6

y=4

5x-y^2 :2

5×6 - 4 ^2 :2

30 - 16 :2

30 - 8

22 (the wright answer)

Circle the mistake :x =6 and y =4 it's not x=4 and y=6

Explain the mistake :when you calculed with x=4 and y=6 the final answer is wrong.

Answer:

given

2x-1-x+3=0

x+2=0

x= -2

hope it helps you mate

please mark me as brainliast...

Answer:

2x-1-x+3=5

subtract 3 both sides

add 1 both sides

after that now its

2x-x=3

2x-x= x

x=3 thats the answer

Answer:

in you question there is the ans hibben

Step-by-step explanation:

x^2+3x+5=0 =a+ bi

Answer:

Just saying I LOVE THESE the slope is 3/2  

Step-by-step explanation:

Answer:

-4 to -4

Step-by-step explanation:

-------------------------

-4                -4

Answer:

Median = 72

Step-by-step explanation:

Answer:

X=-10

Step-by-step explanation:

Answer:

x = -10

Step-by-step explanation:

4.5(8-x) + 36 = 102 - 2.5(3x+24)

36 - 4.5x + 36 = 102 - 7.5x - 60

72 - 4.5x = 42 - 7.5x

72 + 3x = 42

3x = -30

x = -10

Answer:

Yup 0,2,2,-1,-2

Step-by-step explanation:

Edg 2020

The value of g(-4) for the given function g(x)=x+4 is 0.

Piecewise functions are functions that have multiple pieces, or sections. They are defined piece by piece, with various functions defining each interval. Piecewise functions can be split into as many pieces as necessary. Each piece behaves differently based on the input function for that interval. Pieces may be single points, lines, or curves.

For −5 ≤ x ≤ −1

Lets take all range of values of x

g(-5) = x + 4 = -5 + 4 = -1

g(-4) = x + 4 = -4 + 4 = 0

g(-3) = x + 4 = -3 + 4 = 1

g(-2) = x + 4 = -2 + 4 = 2

g(-1) = x + 4 = -1 + 4 = 3

For −1 < x ≤ 5

Lets take all range of values of x

g(0) = 2 - x = 2 - 0 = 2

g(1) = 2 - x= 2 - 1 = 1

g(2) = 2 - x= 2 - 2 = 0

g(3) = 2 - x= 2 - 3 = -1

g(4) = 2 - x= 2 - 4 = -2

g(5) = 2 - x= 2 - 5 = -3

Therefore, the value of g(-4) for the given function g(x)=x+4 is 0.

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Answer:

133.18522

Step-by-step explanation:

g=55.3188

r=77.86642

77.86642+55.3188

133.18522

Answer:

125+15c=t

Step-by-step explanation:

Every cartridge is worth $15, so that would be 15c aka 15 x however many cartridges you purchase. Then the printer is $125, and its not changing so there will be no variable. Put those two amounts together and you'll get the total cost. (Hopefully I explained this well enough.)

Answer:

if y=4 then x=7

Step-by-step explanation:

y=2 when x = 1

that what l think

Answer: Kavitha is 18 and Lizzy is 27

Step-by-step explanation: 8 years ago, Kavitha was 10 and Lizzy was 19.

10 × 2 = 20

20 - 1 = 19

Kavitha is 9 years younger than Lizzy because 27 - 9 = 18

9514 1404 393

Answer:

  Kavitha is 19 and Lizzy is 28

Step-by-step explanation:

Let k and l represent the current ages of Kavitha and Lizzy.

  k = l -9 . . . . . Kavitha is 9 years younger

  l -8 = 2(k -8 -1) . . . . 8 years ago, Lizzy was 2 times as old as Kavitha was 9 years ago

  l -8 = 2(l -9 -9) . . . . substitute for k

  l -8 = 2l -36 . . . . . . eliminate parentheses

  28 = l . . . . . . . . . . . add 36 - l

  k = 28 -9 = 19

Kavitha is 19; Lizzy is 28.

whole numbers, plus their counterparts less than zero, and zero

Negative integers(less than 0) being: –1, –2, –3 exc.

Positive integers(more than 0) being: 1, 2, 3 exc.

Answer:

Integers are whole numbers like -3, -2, -1, 1, 2, 3, 4. They can't be fractions or decimals though

Answer:

4x+1 = 3x-2

Step-by-step explanation:

4x+1=3x-2 subtract 3x and 1 from both sides

x= -3