All categories

2 years ago

Please help!!! ive been stuck on this for 30 minutes now!

Mathematics

1 answer:

max2010maxim [7]2 years ago

7 0

Answer:

f^-1 = 4(x-3)

Step-by-step explanation:

If f(x) = 1/4(x) + 3 we ned to find f^-1.

To find the inverse function, we need to solve the equation for "x", as follows:

f(x) = 1/4(x) + 3

y = 1/4(x) + 3

y-3 = 1/4(x)

4(y-3) = x

Now, change the "x" for an "y". And change the "y" for an "x":

4(x-3) = y

The solution is the last one.

You might be interested in

Which is closer to 7?

Anna [14]

Answer:

A. 5.3

Step-by-step explanation:

While both of these numbers are close to 7, 5.3 is the closest and we can find this out with subtraction. So, 9.9 - 7 = 2.9, but 7 - 5.3 = 1.7. Which one can we determine is closer? Well, 2.9 > 1.7, so our answer must be A. 5.3!

Have a nice day and I hope this helped!

8 0

3 years ago

Read 2 more answers

Write the equation of a circle given the center (-4, 4) and raduis r = 5.

Len [333]

Answer:

A) $(x+4)^2+(y-4)^2=25$

Step-by-step explanation:

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center and $r$ is the radius. If $(h,k)\rightarrow(-4,4)$ and $r=5$ , then:

$(x-h)^2+(y-k)^2=r^2\\\\(x-(-4))^2+(y-4)^2=5^2\\\\(x+4)^2+(y-4)^2=25$

Therefore, the equation of the circle is $(x+4)^2+(y-4)^2=25$

6 0

2 years ago

Name the property used in each equation. Then find the value of n.

Pavlova-9 [17]

The answer is 5 and associative property

4 0

2 years ago

Emma spent $38.22 on 3 dozen bagels and a gallon of iced tea. The price of the gallon of iced tea was $5.25. The following equat

Masja [62]

3d + $5.25 = $38.22
3d= $38.22-$5.25
= $32.97
d= 32.97/3
=$10.99

a dozen of bagels costs $10.99

6 0

2 years ago

Rewrite x2 − 6x + 7 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.

Setler79 [48]

Answer:

Therefore values of a and b are

$a=3\ and\ b = 2$

Step-by-step explanation:

Rewrite $x^{2}-6x+7=0$ in the form

$(x-a)^{2}=b$

where a and b are integers,

To Find:

a = ?

b = ?

Solution:

$x^{2}-6x+7=0$ ..............Given

Which can be written as

$x^{2}-6x=-7$

$(\frac{1}{2} coefficient\ of\ x)^{2}=(\frac{1}{2}\times -6)^{2}=9$

Adding half coefficient of X square on both the side we get

$x^{2}-6x+9=-7+9=2$ ...................( 1 )

By identity we have (A - B)² =A² - 2AB + B²

Therefore,

$x^{2}-6x+9=x^{2}-2\times 3\times x+3^{2}=(x-3)^{2}$

Substituting in equation 1 we get

$(x-3)^{2}=2$

Which is in the form of

$(x-a)^{2}=b$

On comparing we get

a = 3 and b = 2

Therefore values of a and b are

$a=3\ and\ b = 2$

4 0

3 years ago