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Agata [3.3K]
3 years ago
11

Identify the radius of the circle whose equation is

Mathematics
1 answer:
lora16 [44]3 years ago
7 0

Answer:

It is B) 4

Step-by-step explanation:

Its 4 because 4 times 4 is 16

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John is going on a trip and the country he is traveling to uses the Celsius scale. He is curious about converting Celsius temper
Setler79 [48]

Answer:

f(x)=\dfrac{9}{5}x+32 converts Celsius to Fahrenheit.

g(x)=\dfrac{5(x-32)}{9} converts Fahrenheit to Celsius.

Step-by-step explanation:

Write given data in the table

\begin{array}{cc}x&f(x)\\^{\circ}\text{C}&^{\circ}\text{F}\\20&68\\30&86\end{array}

Let the expression for the function be

f(x)=ax+b

Note, that this equation is linear equation and it is well-known fact that the Celsius to Fahrenheit dependence is linear.

Substitute corresponding values into this expression:

68=20a+b\\ \\86=30a+b

Subtract these two equations:

86-68=30a-20a\\ \\10a=18\\ \\a=\dfrac{9}{5}

Substitute it into the first equation:

68=20\cdot \dfrac{9}{5}+b\Rightarrow b=68-36=32

So,

f(x)=\dfrac{9}{5}x+32

This is the function which converts Celsius to Fahrenheit.

And function

g(x)=\dfrac{5(x-32)}{9} converts Fahrenheit to Celsius.

4 0
2 years ago
Read 2 more answers
A functionf(x) is graphed on the coordinate plane.
AleksandrR [38]

The function rule in slope-intercept form is y = -4x -2

<h3>What is a function ?</h3>

A function is defined as the mathematical statement which defines relation between a dependent variable and an independent variable.

A function f(x) is graphed on the coordinate plane.

The equation for a straight line is given by

y = mx + c

Where m is the slope and c is the intercept on y axis

The intercept on y axis is -2

c = -2

At x = 0 , y =-2

At x = -1 , y =2

m =(2 -(-2))/(-1-0)

m = -4

Therefore ,the function rule in slope-intercept form is y = -4x -2 .

To know more about Function

brainly.com/question/12431044

#SPJ1

3 0
2 years ago
The compound interest on the account with .01% interest rate in 5 years
Alina [70]

Answer:

The interest generated will be $ 51.20.

Step-by-step explanation:

To determine the compound interest on the account with 0.01% interest rate in 5 years compounded quarterly with an initial deposit of $ 1,000, the following calculation must be performed:

1,000 x (1 + 0.01 / 4) ^ 4x5 = X

1,000 x (1 + 0.0025) ^ 20 = X

1,000 x 1.0025 ^ 20 = X

1,000 x 1.05120 = X

1,051.20 = X

1,051.20 - 1,000 = 51.20

Therefore, the interest generated will be $ 51.20.

7 0
2 years ago
Is 45 /5 equal to a whole number or mixed number and why
Bas_tet [7]

it is both. why? because 45/5 is greater than 1
3 0
3 years ago
Read 2 more answers
PLEASE HELP
jeka94

Let us try A

If we put x = -3 , then y= 27-36+3+1=-5 , thus it us not the polynomial of given points

Now moving onto B

If x = -3, then y =-81-27+36-3-1=76

If x= -1 , then y=-1-1+4-1-1=0

If x =0, then y=-0-0+0-0-1=-1

If x =1, then y= -1+1+4+1-1=4

Thus it is also not the polynomial with given point.

Now onto c

x= -3 , y=81+27-36+3+1=76

x=0, y = 0+0+0+0+1=1

x= -1 , y = 1+1-4+1+1=0

x=1 , y= 1-1-4-1+1=-4

x=2, y=16-8-16-2+1=-9

Hence C is the polynomial of given points

4 0
2 years ago
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