MATHEMATICS HIGH SCHOOL

The area of a circular cake plate is 1520 cm ².Find the diameter to the nearest cm

Answers

Answer 1

Answer:

Answer: 44 cm

Step-by-step explanation:

area of circle = πr²

1520 cm² = πr²

r is approximately 22 cm (21.996159369...)

so D (diameter) would be 44

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Simplify: sqrt(200) - sqrt(32)

Answers

it would be 14- 8 which equals 6 so the answer would be 6

sqrt(200) - sqrt(32)--------------------------------sqrt(200) simplifies to ----> 10 root 2sqrt(32) simplifies to ----> 4 root 2sooo....(10 root 2) - (4 root 2) = 6 root 2

Which equation represents an exponential function that passes through the point (2, 36)?f(x) = 4(3)x

f(x) = 4(x)3

f(x) = 6(3)x

f(x) = 6(x)3

Answers

Answer:

The exponential function that passes through (2,36) is:

$f(x)=4* 3^x$ .

Step-by-step explanation:

We are asked to find which function passes through the point (2,36).

i.e. we will put the input value '2' in the following given functions and check which gives the output value as '36'.

$f(x)=4* 3^x$

now we put x=2.

$f(2)=4* 3^2\n\nf(2)=4* 9\n\nf(2)=36$

hence option 1 is correct.

$f(x)=4* x^3$

Now we put x=2.

$f(2)=4* 2^3\n\nf(2)=4* 8\n\nf(2)=32$

Hence, option 2 is incorrect.

$f(x)=6* 3^x$

Now we put x=2

$f(2)=6* 3^2\n\nf(2)=6* 9\n\nf(x)=54$

Hence, option 3 is incorrect.

$f(x)=6* x^3$

Now we put x=2.

$f(2)=6* 2^3\n\nf(2)=6* 8\n\nf(2)=48$

Hence, option 4 is incorrect.

Hence, option 1) is correct.

i.e. The exponential function that passes through (2,36) is:

$f(x)=4* 3^x$

Answer:

Option A. is the answer.

Step-by-step explanation:

In this question we can get the correct option by plugging in the coordinates of point (2, 36) in the functions given in all options.

Option A.

$f(x)=4(3)^(x)$

For (2, 36),

$36=4(3)^(2)$

36 = 4×9

36 = 36

It's true so the function passes through the point (2, 36).

Option B.

$f(x)=4(x)^(3)$

For, (2, 36)

$36=4(2)^(3)$

36 = 4×8

36 = 32

Which is not true.

Therefore, option B is not the answer.

Option C.

$f(x)=6(3)^(x)$

For(2, 36)

$36=6(3)^(2)$

36 = 6×9

36 = 54

It's not true.

Therefore, option C is not the nswer.

Option D.

$f(x)=6(x)^(3)$

For (2, 36),

$36=6(2)^(3)$

36 = 6×9

36 = 54

Which is not true.

Therefore, option D is not the answer.

What is the vertex of the graph of f(x) = |x – 13| + 11?

Answers

Hello,

the graph of f(x) is joint here.
It has a form of "V" with (13,11) like vertex;
It is a minimum.
It is composed of 2 half straight lines y=-x-2 (for x<13) and y=x+2 (for x>13)

Answer:

x>13

Step-by-step explanation:

edge 2021

How do you translate " the quotient of eighty-three and six less then a number" as an algebraic expression?

Answers

Let the number be x.

83/(x-6)

How is the graph of y = -4x^2– 5 different from the graph of y = -4x^2?A. It is shifted 5 unit(s) right.
B. It is shifted 5 unit(s) left.
C. It is shifted 5 unit(s) up.
D. It is shifted 5 unit(s) down.

Answers

to move the graph c units up, add c to whole funciton
to move graph c units right, minus c from every x

from
f(x)=-4x^2-5 to
f(x)=-4x^2

minused 5 from whole function
basicaly it is 5 units down from -4x^2

D

The sum of three consecutive numbers is 84. what is the largest of these numbers? 26 27 28 29