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4 years ago

If f(x)=4x+7, what is the inverse of fx

Mathematics

1 answer:

irinina [24]4 years ago

5 0

Answer:

f^-1(x) = 1/4 x - 7/4

Step-by-step explanation:

f(x)=4x+7

Inverse:

x = 4y + 7

4y = x - 7

y = 1/4 x - 7/4

Answer

f^-1(x) = 1/4 x - 7/4

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Naddika [18.5K]

The formula is:

V=Bh or V= l x w x h

I will use the l x w x h

So we know what the values are for each unit, so we would plug them in:

L x W x H = 10 x 2.3 x 4.5

Multiply the values which gets you 103.5

So the answer is 103.5 units cubed.

Have a nice day - Yeet

5 0

3 years ago

Read 2 more answers

The cost of off-campus living for U of O students is normally distributed. The Office of the Registrar estimates that on average

evablogger [386]

Answer:

H1 : μ < 1225

Step-by-step explanation:

The alternative hypothesis in carrying out a statistical test could be explained as a notion which aims to displace or rival an initial position, the null hypothesis.

When declaring an hypothesis, the statement compares the initial or population mean in the hypothesis statement and not the result or outcome of the sample statistic.

In the scenario above :

The null is of the notion that :

H0 : μ = 1225 ;

Hence, the stance of the alternative which is that the mean is lower or less will be written as :

H1 : μ < 1225

6 0

3 years ago

In a class of all girls, 22 of the 28 students have brown hair. What is the

Verdich [7]

Answer:

$\frac{3}{14}$

Step-by-step explanation:

Total Students = 28

Brown Hair = 22

NOT Brown Hair = 28 - 22 = 6

The probability of an event is the number of that event divided by total number.

So, let denote probability of without brown hair be P(NOT BROWN). So, we can say:

P(NOT BROWN) = 6/28

Reducing, we get:

P(NOT BROWN) = 3/14

4 0

3 years ago

If the 10th of the 10 consecutive numbers is 10, what is their sum?

liq [111]

Represent these consecutive numbers (assuming that they are all integers):

x
x+1
x+2
x+3
x+4
x+5
and so on
x+8
x+9 is the tenth number. x+9 = 10, so x = 9.

Think of it this way: there are 10 consecutive numbers, and the last one is 10.

Working backwards, we get the sequence 10, 9, ... 3, 2, 1.

The sum of such an arith sequence is equal to the count of the numbers times the average of the first and last terms:

sum here = 10(1+10)/2 = 5(11) = 55 (answer)

7 0

3 years ago

Pedro is building a playground in the shape of a right triangle he wants to know the area of the playground to help him decide h

shusha [124]

Answer:

Amount of sand=Area of triangle(ABC)=1/2*AB*BC

Dimension of rectangle as length=BC and breadth=AB

Step-by-step explanation:

Given:

Pedro building a playground in shape of right angled triangle.

To Find:

How much sand he need to buy

And if playground changed to rectangle what will be the dimensions.

Solution:

Consider a ΔABC be the play ground vertex of playground,

And AB and BC be the sides making right angle.

The sand required to fill ground will be the amount of are covered by the ABC triangle.

So,

Area Of triangle(ABC)=1/2* base* height

Here base will be BC and height =AB

Therefore Area of Triangle(ABC)=1/2*BC*AB

Depending on the lengths of base and height amount of sand will be decided.

Now,

For Rectangle dimensions,

We know that if same sized triangles composes each other forms a rectangle.

It requires two triangle to form one rectangle as follows

(Refer the attachment)

Same sized Triangle ACD is imposed on it to from rectangle ABCD.

So dimension for rectangle will be same as the triangle

Dimension=length and breadth

i.e. length=base of triangle=BC

Breadth=Height of triangle=AB

i.e Breadth =AB.

5 0

3 years ago