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3 years ago

Find the linear function with the following properties. f(0)=−9 Slope of f=−8

Mathematics

1 answer:

Ratling [72]3 years ago

6 0

Answer:

f(x) = -8x - 9

Step-by-step explanation:

<h3>Given </h3>

<u>Function f, with </u>

f(0) = -9
Slope of f = -8

Linear function

<h3>Solution</h3>

<u>Slope-intercept formula</u>

f(x) = mx + b
f(0) = -9 means y-intercept b = -9, and the slope is m = - 8

<u>So the function is</u>

f(x) = -8x - 9

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Find the equation of the exponential function represented by the table below:

IgorC [24]

Answer:

$y=2^{1-x}$

Step-by-step explanation:

<u>Exponential Function</u>

When we need to express the exponential relation between two variables, we use the equation

$y=Cr^{x}$

where C, r are constants to be determined by using the given points from the table

For x=0, y=2, thus

$2=C.r^{0}=C$

We find that C=2

The equation is now

$y=2r^{x}$

Now we use the point x=1, y=1

$1=2r$

We find that

$\displaystyle r=\frac{1}{2}$

Thus, the equation is

$\displaystyle y=2\left(\frac{1}{2}\right)^{x}$

Rearranging

$y=2(2)^{-x}=2^{1-x}$

The required equation is

$y=2^{1-x}$

We can easily verify the last two points are also obtained by using the equation

7 0

3 years ago

Nick and Adam workout together. Nick weighs 160 pounds and is gaining 3 pounds per week. Adam weighs 195 pounds and is losing ab

hoa [83]

Answer:

7 wks, 181 lbs

Step-by-step explanation:

160+3t=195-2t

160+5t=195

5t=35

t=7 weeks

160+3(7)=195-2(7)=181 pounds

5 0

3 years ago

What is 242 divided by 57 worked out

max2010maxim [7]

I hope this helps you

242÷57

4,245

8 0

3 years ago

Solve for b

Alex73 [517]

Answer:

b= $\sqrt{21}$

Step-by-step explanation:

Considering the given figure the sides 'b' , '2' and '5' are making the sides of a right angled triangle in the top right corner of the square, where

Hypotenuse=5 , Perpendicular=b and Base=2

Using Pythagoras Theorem:

$(Hypotenuse)^2=(Perpendicular)^2+(Base)^2\\$

Implementing the values in the formula:

$5^2= b^2+2^2$

$b^2=5^2-2^2\\\\b^2=25-4\\\\b^2=21\\\\b=\sqrt{21}$

So, the value of 'b' is $\sqrt{21}$ which is same for the the given 'b' in the figure.

7 0

3 years ago

Consider the function f(x) = x2 + 3x − 7. Find the value of f(x) when x = 3 and select the correct answer below. 5 8 11 18

kenny6666 [7]

F(x)=x^2+3x-7, x=3

f(3)=3^2+3(3)-7

f(3)=9+9-7

f(3)=11

6 0

3 years ago

Read 2 more answers