Square root of 2 equal to less than or gretaer than reapting decimal 1.8

Which point is on the graph of f(x) = 2*5^x

vodomira [7]

Answer:

Option B (1,10)

Step-by-step explanation:

we have

$f(x)=2(5^x)$

we know that

If a ordered pair is on the graph of f(x) then the ordered pair must satisfy the function f(x)

<u><em>Verify each case</em></u>

case A) (0,0)

For x=0

$f(x)=2(5^0)\\f(x)=2(1)=2$

Compare the value of f(x) with the y-coordinate of the ordered pair

$2\neq 0$

therefore

The ordered pair is not on the graph of f(x)

case B) (1,10)

For x=1

$f(x)=2(5^1)\\f(x)=2(5)=10$

Compare the value of f(x) with the y-coordinate of the ordered pair

$10=10$

therefore

The ordered pair is on the graph of f(x)

case C) (0,10)

For x=0

$f(x)=2(5^0)\\f(x)=2(1)=2$

Compare the value of f(x) with the y-coordinate of the ordered pair

$2\neq 10$

therefore

The ordered pair is not on the graph of f(x)

case D) (10,1)

For x=10

$f(x)=2(5^{10})\\f(x)=2(9,765,625)=19,531,250$

Compare the value of f(x) with the y-coordinate of the ordered pair

$19,531,250\neq 1$

therefore

The ordered pair is not on the graph of f(x)

7 0

3 years ago

3a) There were 25 red markers, 32 blue markers, and 38 green markers in a tub. Explain how you would construct a bar graph for t

Tema [17]

Answer:

Step-by-step explanation:

you would show x and y lines and title frequency to side and colours to bottom

0-40 on the y axis title is frequency

and on bottom graph put the colours. red blue and green always using equal intervals for names or time or colours along the x axis.

5 0

2 years ago

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Julio bought 4 pencils and 3 erasers for $0.37 and David paid $0.33 for 3 pencils and 4 erasers. What is the cost of one pencil?

grigory [225]

cost of pencil = x = 0.07

and cost of eraser = y = 0.03

Step-by-step explanation:

let cost of pencil = x

and cost of eraser = y

So, we have equations:

$4x+3y=0.37\\3x+4y=0.33$

Solving both equations to find value of x and y

Let:

$4x+3y=0.37\,\,\,eq(1)\\3x+4y=0.33\,\,\,eq(2)$

Multiply eq(1) with 4 and eq(2) with 3 and subtract

$16x+12y=1.48\\9x+12y=0.99\\-\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,-\\--------\\7x=0.49\\x=0.07$

Putting value of x in equation 1:

$4x+3y=0.37\\4(0.07)+3y=0.37\\0.28+3y=0.37\\3y=0.37-0.28\\3y=0.09\\y=0.03$

So, x= 0.07 and y = 0.03

cost of pencil = x = 0.07

and cost of eraser = y = 0.03

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

4 0

3 years ago

Vincent borrowed $500 from Mitchell for six months how much interest will Michelle earn if he charges Vincent a simple interest

kow [346]

Michelle will earn $15 from the interest rate.

5 0

3 years ago

Which is equivalent to sin^-1(tan(pi/4)) ? Give your answer in radians.

aleksklad [387]

We are to find the value of $sin^{-1}(tan( \frac{ \pi }{4}))$

First we evaluate tan(π/4). The value of tan(π/4) is 1.

So,

$sin^{-1}(tan( \frac{ \pi }{4})) =sin^{-1} (1)$

sin(π/2) = 1
So,
$sin^{-1}(1)= \frac{ \pi }{2}$

Thus, we can write:

$sin^{-1}(tan( \frac{ \pi }{4}))= \frac{ \pi }{2}$ radians.

So, the answer to this question is π/2 radians.

6 0

2 years ago

Read 2 more answers