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2 years ago

Match the three graphs to the function they represent ?

Mathematics

1 answer:

Mama L [17]2 years ago

3 0

Suppose that a>b>1, then

$a^x>b^x$ and $\log_ax$

Therefore, since 2<3<7, $\log_2x>\log_3x>\log_7x.$

Choose an arbitrary x>1. You have that a takes the greatest values at x, c takes the smallest value at x. Thus,

a>b>c and

$a=\log_2x;$
$b=\log_3x;$
$c=\log_7x.$

Answer: correct option is B.

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Please help me on this

ozzi

Answer:

q=371

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Find the radius of the circle with equation x²+y²+8x+8y+28=0

galina1969 [7]

<h2>Hello!</h2>

The answer is:

Center: (-4,-4)

Radius: 2 units.

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

$(x-h)^{2}+(y-k)^{2}=r^{2}$

Where:

"h" and "k" are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

$x^{2}+y^{2}+8x+8y+28=0$

So, solving we have:

$x^{2}+y^{2}+8x+8y=-28$

$(x^2+8x+(\frac{8}{2})^{2})+(y^2+8y+(\frac{8}{2})^{2})=-28+((\frac{8}{2})^{2})++(\frac{8}{2})^{2})\\\\(x^2+8x+16 )+(y^2+8y+16)=-28+16+16\\\\(x^2+4)+(y^2+4)=4$

$(x^2-(-4))+(y^2-(-4))=4$

Now, we have that:

$h=-4\\k=-4\\r=\sqrt{4}=2$

So,

Center: (-4,-4)

Radius: 2 units.

Have a nice day!

Note: I have attached a picture for better understanding.

3 0

3 years ago

Will someone help with this ! I was allowed a retry for it and I don’t know how to do it

pashok25 [27]

Answer:

$\frac{dN}{dt}=k(725-N)\\separating the variables and integrating\\\int \frac{dN}{725-N}=\int kdt+c\\-log (725-N)=kt+c\\log (725-N)=-kt-c\\(725-N)=e^{-kt-c} =e^{-kt} *e^{-c} =Ce^{-kt} \\when t=0,N=400\\725-400=Ce^{0} =C\\C=325\\when t=3,N=650\\725-650=325e^{-3k} \\\frac{75}{325}=(e^{-k})^3\\\\e^{-k} =(\frac{3}{13}) ^{\frac{1}{3} } \\when t=5\\725-N=325(\frac{3}{13}) ^{\frac{5}{3} } =325*\frac{3}{13}*(\frac{3}{13} )^{\frac{2}{3}}\\N=725-75*(\frac{3}{13} )^{\frac{2}{3} }=725-28=697$

Step-by-step explanation:

6 0

3 years ago

Expand & simplify<br>(x + 1)(x + 1)

Vinvika [58]

Answer: x^2+2x+1

Step-by-step explanation:

3 0

3 years ago

Jamal hiked on two trails. The first trail was 7 1/3 miles long, and the second trail was 1 9/11 times as long as the first trai

algol [13]

9514 1404 393

Answer:

20 2/3 miles

Step-by-step explanation:

Altogether Jamal hiked 1 + 1 9/11 times the length of the first trail:

(2 9/11)(7 1/3) = (31/11)(22/3) = 62/3 = 20 2/3

Jamal hiked 20 2/3 miles.

7 0

3 years ago