All categories

3 years ago

Find ƒ–1 for the function ƒ(x) = (x – 10)3 + 4.

Mathematics

1 answer:

RoseWind [281]3 years ago

4 0

Answer:

x=-69/7

Step-by-step explanation:

f (-1) f (x)=(x-10) 3+4

-1=(x-10) 3+4

-1=(x-10) 7

You will multiply 7 by (x-10)

-1=7x-70

Well move the-1 to the right hand side which will become+1 and move the+7x to the left hand side which will become -7x

-7x=-70+1

-7x=-69

So you will divide both sides by-7

-7x/7=-69/7

x=-69/7

You might be interested in

What is negative 7 minus negative 4

Nimfa-mama [501]

Answer:

-7-(-4)= -3

Step-by-step explanation:

Subtracting a negative number from a negative number – a minus sign followed by a negative sign, turns the two signs into a plus sign. So, instead of subtracting a negative, you are adding a positive.

3 0

3 years ago

Read 2 more answers

I need to Match each equation that represents each situation.

almond37 [142]

Step-by-step explanation:

this is quite easy, when you use just common sense and identify the right numbers and variable names.

they is nothing special needed, you don't even need to create the equations yourself.

$4.99 per pound. buys b pounds and pays $14.95.

14.95 = 4.99 × b

$4.99 per pound. buys b pounds and pays c.

this is exactly the same as before, just that this time the total amount is not given as a constant but as a variable.

c = 4.99 × b

d dollars per pound. buys b pounds and pays t.

the same as the 2 cases before, just now everything is a variable. no more constants, but otherwise the completely same structure and method.

t = d × b

earned $275, which is $45 more than Noah ("n").

$275 = n + $45

earned m dollars, which is $45 more than Noah ("n").

m = n + $45

earned m dollars, which is y dollars more than Noah (we are asked that Noah's earnings are now called "v").

here your teacher made a mistake.

sure, the only remaining answer is

v = m + y

but it is not correct. given the names of the prime and associated variables the correct answer would be

m = v + y or v = m - y

7 0

2 years ago

HELP PLEASE!

olasank [31]

Answer

Find out the Area of a triangle .

To proof

Formula

Area of Triangle

$= \frac{1}{2}\times( {x_1(y_{2}-y_{3}) +x_{2}(y_{3} - y_{1})+x_{3}(y_{1}-y_{2})})$

Now vertices are D(3, 3) , E(3, −1) , and F(−2, −5) .

$= \frac{1}{2} (3\times(-1 +5) + 3\times(-5-3)-2\times(3+1))$

Solving the above

$= \frac{1}{2}(3\times4+3\times-8 -2\times4)$

$=\frac{1}{2} (12-24-8)\\ =\frac{1}{2} (-32+12)\\=\frac{1}{2} (-20)$

= -10 units²

(Neglected the negative sign as area cannot be negative.)

= 10 units ²

Area of a triangle is 10 units ²

Hence proved

6 0

3 years ago

Ok I need help um thanks :)

strojnjashka [21]

Answer:

40% male and 60% female

Step-by-step explanation:

Add all the experiments, and then divide the variables by the number of experiments

Variables :T and H

8 0

3 years ago

Read 2 more answers

A study of king penguins looked for a relationship between how deep the penguins dive to seek food and how long they stay underw

Serggg [28]

Answer:

$b = 0.0138$

Step-by-step explanation:

Given

Regression Equation:

$DD=2.69+0.0138D$

Required

Determine the slope of the regression line

The equation of regression is of the form

$Y = a + bX$

Where b represents the slope;

Compare $Y = a + bX$ to the given equation

$DD=2.69+0.0138D$

We have that:

$Y = DD$

$a = 2.69$

$b = 0.0138$

$X = D$

Hence; the slope is:

$b = 0.0138$

7 0

3 years ago