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3 years ago

Which of the following represents the graph of f(x) = 2x − 5?

Mathematics

2 answers:

Len [333]3 years ago

8 0

Answer:

A) graph of exponential rising up to the right, through the point 0, negative 4

Step-by-step explanation:

The given function is f(x) = 2ˣ - 5

The graph of a function is said to be exponential if the function is of the form: f(x) = aˣ, where a is a positive real number but not equal to 1.

Rising means the value of y-intercept or point from where the value of x and y is increasing rapidly.

when we put x = 0 in f(x) then we get f(x) = 2⁰ - 5 = -4

Hence, the graph of the given function is exponential and rising to the right through the point (0, -4).

iragen [17]3 years ago

6 0

it's going up and to the right (slope of 2/1 or up 2 right 1) through the point 0,-5 as you set x to 0 to get f(x)=2(0)-5 , f(x)=0-5, f(x)=-5. getting points 0,-5

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Evaluate each function at each of the four points.

Mumz [18]

Answer:

Step-by-step explanation:

All we have to do is input the given values of x into the functions.

The first function:

f(x) = x^2 - 5x - 6

f(0) = 0^2 - 5(0) - 6 = 0 - 0 - 6 = -6

f(0) = -6

f(2) = 2^2 - 5(2) - 6 = 4 - 10 - 6 = -12

f(2) = -12

f(-1) = -1^2 - 5(-1) - 6 = 1 + 6 - 6 = 1

f(-1) = 1

f(6) = 6^2 -5(6) - 6 = 36 - 30 - 6 = 0

f(6) = 0

The second function:

f(x) = x^3 - x^2 - 12

f(0) = 0^3 - 0^2 - 12 = 0 - 0 - 12 = -12

f(0) = -12

f(2) = 2^3 - 2^2 - 12 = 8 - 4 - 12 = -8

f(2) = -8

f(-1) = -1^3 - (-1)^2 - 12 = -1 - 1 - 12 = -14

f(-1) = -14

f(6) = 6^3 - 6^2 - 12 = 216 - 36 - 12 = 168

f(6) = 168

The third function:

f(x) = 5 * 2^x

f(0) = 5 * 2^0 = 5 * 1 = 5

f(0) = 5

f(2) = 5 * 2^2 = 5 * 4 = 20

f(2) = 20

f(-1) = 5 * 2^-1 = 5 * 0.5 = 2.5

f(-1) = 2.5

f(6) = 5 * 2^6 = 5 * 64 = 320

f(6) = 320

5 0

3 years ago

PLEASE HURRY IM TIMED!!!

andriy [413]

Answer-

A. Brandon’s sound intensity level is 1/4th as compared to Ahmad’s.

Solution-

Given that, loudness measured in dB is

$L=10\log \frac{I}{I_0}$

Where,

I = Sound intensity,

I₀ = 10⁻¹² and is the least intense sound a human ear can hear

Given in the question,

I₁ = Intensity at Brandon's = 10⁻¹⁰

I₂ = Intensity at Ahmad's = 10⁻⁴

Then,

$L_1=10\log \frac{I_1}{I_0}=10\log \frac{10^{-10}}{10^{-12}}=10\log \frac{1}{10^{-2}}=10\log 10^{2}=2\times10\log 10=20$

$L_2=10\log \frac{I_2}{I_0}=10\log \frac{10^{-4}}{10^{-12}}=10\log \frac{1}{10^{-8}}=10\log 10^{8}=8\times10\log 10=80$

$\therefore \frac{L_1}{L_2} =\frac{20}{80} =\frac{1}{4}$

5 0

3 years ago

What is -9 to the-3/2 power with no decimals

nikdorinn [45]

Your answer is -1/27

6 0

3 years ago

The answer is not A or B

Nat2105 [25]

Answer:

C) 4

Step-by-step explanation:

Arcs on one side of the diameter adds upto 180°.

Therefore,

$(2 + 17x) \degree + 54 \degree + 56 \degree = 180 \degree \\ \\ (2 + 17x) \degree + 110 \degree = 180 \degree \\ \\ (2+ 17x) \degree = 180 \degree - 110 \degree\\ \\ (2 + 17x) \degree = 70 \degree \\ \\ 2 + 17x = 70 \\ 17x = 70 - 2 \\ \\ x = \frac{68}{17} \\ \\ x = 4$

4 0

3 years ago

Read 2 more answers

What is the surface area of the square pyramid?

Pavel [41]

The base is a square, therefore all the sides of the base are the same. This also means all the triangles have the same area.

10*10 = 100 cm^2 for the base

0.5*10*12 = 60 cm^2 for each triangle

100 + 4(60) = 340 cm^2

3 0

3 years ago

Read 2 more answers