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miss Akunina [59]
3 years ago
13

-2 x 4^5 + 18 x 4^5 = ? The answer must be in form of a^b. Please explain step by step.

Mathematics
1 answer:
zalisa [80]3 years ago
5 0

Answer:

17*2^11

Step-by-step explanation:

Lets start by remembering two property of power.

x^{m} * x^{n}= x^{n+m}

(x^{m})^{n}= x^{m*n}

That is important to remember since 4= 2^2. Hence, the given problem can be written as the following

-2*(2^{2} )^{5}+9*2^{2}*(2^{2} )^{5}  \\-2*2^{10}+9*2^{2}*2^{10}\\ -2^{11}+9*2^{12}\\ -2^{11}(-1+9*2)=-2^{11} (17)

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If f(x) = 2x - 9, which of the following are correct? Select all that apply. f(-1) = -11 f(2) = 5 f(3) = -3 f(0) = -9 f(-3) = 15
Yuri [45]

f(-1) = -11 and f(3) = -3 . these functions are true .

What does a math function mean?

  • A relationship between a group of inputs and one output each is referred to as a function.
  •  A function is an association between inputs in which each input is connected to precisely one output.
  • A domain, codomain, or range exists for every function. f(x), where x is the input, is a common way to refer to a function.
  • In mathematics, a function is an expression, rule, or law that establishes the relationship between two variables (the dependent variable).

given function  f(x) = 2x - 9

   f(-1) = -11 ⇒ x = -1 put in function

                       f( -1 ) = 2 * -1 - 9  ⇒ - 11

    f(2) = 5   ⇒ x = 2 put in function

                    f( 2 ) = 2 * 5 - 9 = 1

    f(3) = -3  ⇒  x = 3 put in function

                     f ( 3 ) = 2 * 3 - 9 = -3

       f(-3) = 15   ⇒  x =  -3 put in function

                     f( -3) = 2 * -3 - 9 = - 15

Learn more about function

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3 0
1 year ago
2(3+4y)=46<br> please help asap
sleet_krkn [62]

Answer:

y=5

Step-by-step explanation:

esa es la respuesta

3 0
3 years ago
Read 2 more answers
Make t the subject of the formula in D=k/f(b+t)
PilotLPTM [1.2K]

Answer:

(k/Df)-b = t

t=(k/Df)-b

Step-by-step explanation:

D = k/f(b+t)

k/D = f(b+t)

k/Df = b+t

(k/Df)-b = t

6 0
3 years ago
A student has gotten the following grades on his tests: 87, 95, 76, and 88. He wants an 85 or better overall. What is the minimu
Hoochie [10]

Answer:

He must get at least a 90 in order to recieve an 85 percent or higher

Step-by-step explanation:

4 0
3 years ago
The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width in units of the r
Genrish500 [490]

Answer:

width = 2 units

Step-by-step explanation:

If the length of a rectangle is (x) units, then that means that the width of a rectangle is x - 4 units.

the area of a rectangle is length * width

so just substitute the values that we have now.

x (length) * (x-4) width = 12 (area of rectangle)

so that gives us

x^2 - 4x =12

subtract 12 from both sides

x^2 - 4x - 12 =0

now factor this equation

x^2 + 2x - 6x -12 = 0

x(x+2) - 6(x+2) = 0

(x-6)(x+2) = 0

x = 6, or x = -2 REMEMBER THAT VALUE OF x = LENGTH, IT CANNOT BE NEGATIVE AS YOU CANT HAVE NEGATIVE VALUE OF A SIDE

length = 6, and width = 6 -4 = 2

8 0
3 years ago
Read 2 more answers
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