All categories

4 years ago

The graphs of f(x)=2x and g(x)=2x are shown. What are the solutions to the equation 2x=2x ? Select each correct answer.

Mathematics

2 answers:

Roman55 [17]4 years ago

7 0

Im pretty sure its 1

umka2103 [35]4 years ago

6 0

<h2>Answer:</h2>

Option: C is the correct answer.

C) 2

<h2>Step-by-step explanation:</h2>

We know that for graph of two functions the number of solutions to the system of equation is equal to the number of point of intersection of the graph of two functions.

Hence by looking at the given graph we observe that the graph of two functions meet or intersect at two points.

i.e. $2^x=2x$

has two solutions.

Hence, option: C is the answer.

You might be interested in

Suppose a publishing company estimates that its monthly cost is C(x) = 600{x^2} + 300xC(x)=600x 2 +300x and its monthly revenue

Leto [7]

Answer:

the answer is A,

P(x) = -0.4x³+100x²-900x+500

Step-by-step explanation:

monthly cost:

$c(x) = 600x {}^{2} + 300x$

monthly revenue:

$r(x) = - 0.4 {}^{3} + 700x {}^{2} - 600x + 500$

profit function:

$p(x) = r(x) - c(x)$

$p(x) = ( - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500) - (600x {}^{2} + 300x)$

i) remove the first bracket

$p(x) = - 0.4x {}^{3} + 700x {}^{2} - 600x + 500 - (600 {x}^{2} + 300x)$

ii) there is a negative sign, '-' in front of the second bracket. so, change the sign of each term of the expression inside the bracket

$p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500 - 600x {}^{2} - 300x$

iii) collect like terms

$p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600 {x}^{2} - 600x - 300x + 500$

iv) simply the like terms

$p(x) = - 0. 4{x}^{3} + 100 {x}^{2} - 900x + 500$

6 0

3 years ago

What is the volume of the sphere

Firdavs [7]

Answer:

Formula for Volume=4/3 π r^3

Step-by-step explanation:

3 0

3 years ago

My question is in the picture!

harina [27]

-5 4/5 because it is less than -5

4 0

3 years ago

PLSSS HELP IF YOU WANT KNOW THISSS

djyliett [7]

Answer:

Cylinder

Step-by-step explanation:

A Cylinder is exactly like the object shown in the picture.

4 0

2 years ago

Ishaan is 2 times as old as Christopher. 35 years ago, Ishaan was 7 times as old as Christopher. How old is Ishaan now?

MrRissso [65]

I= Ishaan's age= 2C
C= Christopher's age

35 years ago means we have to subtract 35 from their current age. Ishaan minus 35 equals 7 times Christopher minus 35 years.

CHRISTOPHER'S AGE:
I - 35= 7(C-35)
substitute I=2C in for I
multiply 7 by all in parenthesis

2C - 35= 7C - 245

add 35 to both sides
2C= 7C - 210

subtract 7C from both sides
-5C = -210

divide both sides by -5

C= 42 Christopher's age

ISHAAN'S AGE:
I= 2C
substitute C=42 to find Ishaan's age
I= 2(42)

I= 84 Ishaan's age

CHECK:
Substitute answers in original equation

I - 35= 7(C-35)
84 - 35= 7(42-35)
49= (7*42)+(7*-35)
49= 294-245
49=49

Hope this helps! :)

6 0

3 years ago