If f, g, and h are all positive number which of the following is NEVER true?

While dealing with laws of exponents, exponents should be subtracted when splitting exponential formulas with the same base.

Use the Quotient of Powers Rule to reduce the number of terms when splitting like terms with exponents. According to this rule, to determine the solution while dividing terms with the same base, simply remove their exponents. The trick is to only take out exponents with matching bases.

Exponents are added when two powers of the same base are multiplied. Therefore, the exponents are subtracted when two powers of the same base are divided. To put it another way, abac=ab + c is true for all real numbers a, b, and c.

It is so established that any integer or phrase raised to the power of zero always equals 1. To put it another way, the outcome is 1 if the exponent is 0. A 0 = 1 and (a/b) 0 = 1 create the general version of the zero exponent rule.

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Answer:

Roy speed is greater

Hope this helps

Answer:

Roy

Step-by-step explanation:

(3/4)/5 = 0.15 so Jared cycles 0.15 miles per minute

2 / 13 = 0.15384... so Roy cycles about 0.154 miles per minute

Roy cycles faster

Step-by-step explanation:

A = 6(90-A)-43 Simplify and solve for A.

A = 540-6A-43

A = 497-6A Add 6A to both sides.

7A = 497 Divide both sides by 7.

A = 71 degrees

The complement of A = 90-A = 09-71 = 19

Hope this help :)

Answer:

The value of x=17.

Step-by-step explanation:

3(x-1) = 4(x-5)

=3x-3=4x-20

Subtract both sides by 4x.

=3x-3-4x=4x-20-4x

= −x−3=−20

Add 3 to both sides.

=−x−3+3=−20+3

−x=−17

Divide both sides by -1.

−x/-1=−17/-1

x=17

Answer:

I think the answer is 2 dollars

Step-by-step explanation:

Answer:

-x+7

Step-by-step explanation:

y-5= -1(x-2)

y-5= -1x+2

+5        +5

y= -x+7

3 number of roots exist for the polynomial function.

Step-by-step explanation:

As we know that the polynomial can only have exact number of roots as high as the degree of that polynomial is.

We can also prove it. Assume there is a polynomial

(x+2)(x+3) =0

Here the degree of the polynomial is 2 and the number of possible solutions are also 2. As it is evident that x is either equal to -2 or -3.

From the given condition,

(9x + 7)(4x + 1)(3x + 4)

we know that the degree of the polynomial is 3 because after expansion it becomes,

108x^3 + 255 x^2 +169x + 28 =0

Since, highest power of the variable is 3. Its degree is 3.

Therefore, possible number of roots that exist for the polynomial function are 3.

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By using the translation formula, the image point of (- 1, - 3) is equal to the point (2, 1).

In this problem we find the coordinates of a point, whose image must be found by using a translation, a kind of rigid transformation. The formula for the determination of the coordinates of the image is introduced below:

P'(x, y) = P(x, y) + T(x, y)                 (1)

Where:

If we know that P(x, y) = (- 1, - 3) and T(x, y) = (3, 4), then the coordinates of the resulting point according to the transformation rule are:

P'(x, y) = (- 1, - 3) + (3, 4)

P'(x, y) = (2, 1)

The image point of (- 1, - 3) is equal to the point (2, 1).

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Answer:

First choice, 75%

Step-by-step explanation:

Add all the numbers together:

15 + 8 + 10 + 12 + 15 = 60

So the probability that you'll get a lose a turn card is 15/60 which simplified is 1/4, 1/4 in decimal form is 0.25 which is 25%. % means out of 100 so to double check: 1/4 times 100 = 100/4 = 25%

There's a 25% chance that you will draw the lose a turn card so

100% - 25% = 75%

So there's a 75% probability you will not draw the lose a turn card

Value of   g(ƒ (0)) =18 .

Definitions of f(x) and g(x) -

Composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”. The function g (x) is called an inner function and the function f (x) is called an outer function.

The composition (g ° f)(x) means "evaluate f at x, then evaluate g at the result f(x)". The product (g*f)(x) means "evaluate g and f at x and multiply the results".

An algebraic function is a function that involves only algebraic operations. These operations include addition, subtraction, multiplication, division, and exponentiation.

given

f(x) = 3x²+x-6

g(x) = -4x - 3

find the value of g(ƒ (0))

g(ƒ (0)) = ?

g( f(x) ) = 3 ( f(x) )² +( f(x) )−6

Now, replace every  f(x) on the right side with the function you entered in for  f(x)  :

g(f(x)) = 3( f(x) )² +( f(x) )−6

⇓

g(f(x)) = 3( −4x−3 )² +( −4x−3 )−6

Simplify the expression.

g(f(x)) = 3(−4x−3)² +(−4x−3)−6

          = 3(−4x−3)² − 4x−9

So, g(f(x))=3(−4x−3)² −4x−9.

g(ƒ (0)) = 3(−4× 0 −3)² −4× 0−9

g(ƒ (0)) = 3(−3)² −9

g(ƒ (0)) = 3 × 9 −9

g(ƒ (0)) = 27 − 9

g(ƒ (0)) =18 .

Hence, by using the definitions of f(x) and g(x) the value of g(ƒ (0)) =18.

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Answer:

k = 12

Step-by-step explanation:

Given:

The equation [tex]Q(x)=2x^2-kx+18[/tex]

To find:

Value of [tex]k = ?[/tex] for which the given equation has one distinct real solution.

Solution:

The given equation is a quadratic equation.

There are always two solutions of a quadratic equation.

For the equation: [tex]ax^{2} +bx+c=0[/tex] to have one distinct solution:

[tex]b^2 - 4ac = 0[/tex]

Here,

a = 2,

b = -k and

c = 18

Putting the values, we get:

[tex](-k)^2 - 4\times 2\times 18 = 0\\\Rightarrow k^2 = 18\times 8\\\Rightarrow k^2 =144\\\Rightarrow k = 12[/tex]

The equation becomes:

[tex]Q(x)=2x^2-12x+18[/tex]

And the one root is:

[tex]2(x^2-6x+9 ) = 0\\\Rightarrow 2(x-3)^2=0\\\Rightarrow x = 3[/tex]

Answer:

the number is -9

Step-by-step explanation:

Answer:

y = 6, RS = 35 and ST = 17

Step-by-step explanation:

Given that,

RS = 5y+5

ST = 2y+5

RT = 52

If we consider a number line,

RT = RS + ST

52 = 5y+5 + 2y+5

52 = 7y + 10

7y = 52-10

7y = 42

y = 6

RS = 5y+5

= 5(6)+5

= 35

ST = 2y+5

= 2(6) +5

= 17

Hence, this is the required solution.

Answer: The answer is <5>

Step-by-step explanation:

Solution Steps

−5×2÷−2

Cancel out −2 and −2.

−5(−1)

Multiply −5 and −1 to get 5.

5

I hope this helps!

Answer:

It's the last choice.

Step-by-step explanation:

Convert them to decimal form:-

7 1/3 = 7.333....

221/30 = 7.36666......

⁻⁻⁻⁻⁻

7.36 = 7.36363636,,,

2.4√(3π) = 7.367952297

So, from greatest to least they are:

                               ___

2.4√(3π), 221/30, 7.36,  7 1/3.  

Answer:

ya

Step-by-step explanation:

Answer:

Step-by-step explanation:

You will have less possible solution y is less than or y is greater than so everything touching the line will not be a solution just everything else.

Answer:

i hope it helpful

thank you

Answer:

Answer in interval notation is (3, 5.94].

Step-by-step explanation:

First find the time that the ball is level with the top of the building on its descent. You can do this by solving 280 = -16^2 + 48t + 280 for t. This gives t = 3 seconds .

Then when the ball reaches the ground the time t is obtained by solving 0 = -16t^2 + 48t + 280 This gives t = 5.94

seconds.

Answer in interval notation is (3, 5.94].

Answer:

its c

Step-by-step explanation:

why do I need to explain

Answer:

the square root of 121 is 11

Answer:

-8 and 5

Step-by-step explanation:

Answer: x = 40

Step-by-step explanation:

    104 + 2x -4 = 180

104 - 4 + 2x  = 180

100 + 2x = 180

2x = 180 -100

2x = 80

x = 80/2

x = 40

Answer: $65.45

Step-by-step explanation:

Cost of Snorkle = $11.00

Cost of goggles = $30.00

Cost for flippered = $36.00

Total cost = $11.00 + $30.00 + $36.00 = $77.00

Since there's a 15% off, the cost of the bundle will be:

= $77 - (15% × $77)

= $77 - (0.15 × $77)

= $77 - $11.55

= $65.45

Answer:

c. 5/6 = [ g(7) − g(4) ] / (7 − 4)

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

2 1/2 is the same as 5/2

               (2*2 = 4 +1 = 5, so the mixed number 2 1/2 turns into 5/2)

so 5/2 * 5 = 5/2 * 5/1 = 25/2 = 12.5

Answer:

3p = 1/2

Step-by-step explanation:

I hope this helps!

Answer:

6x^2 + 29x + 35

Step-by-step explanation:

(2x+5)(3x+7)

multiply 2x with 3x and 7

multiply 5 with 3x and 7

simplify

6x^2 + 14x + 15x + 35

= 6x^2 + 29x + 35

the answer is the second one

Step-by-step explanation:

y=mx+c where m is the gradient or slope and c is the y intercept I think this is right