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2 years ago

Kaitlyn spent 4/10 of an hour reading a book. Did she spend most of the hour reading a book? explain

Mathematics

2 answers:

vova2212 [387]2 years ago

6 0

Answer:

She spent 24 minutes reading a book

Savatey [412]2 years ago

5 0

Answer:

24 minutes

Step-by-step explanation:

4/10*60= 24

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Sergio [31]

Given:

The function is:

$f(x)=6x-3$

To find:

The inverse of the given function, then draw the graphs of function and its inverse.

Solution:

We have,

$f(x)=6x-3$

Step 1: Substitute $f(x)=y$ .

$y=6x-3$

Step 2: Interchange x and y.

$x=6y-3$

Step 3: Isolate variable y.

$x+3=6y$

$\dfrac{x+3}{6}=y$

Step 4: Substitute $y=g(x)$ .

$\dfrac{x+3}{6}=g(x)$

Therefore, the inverse of the given function is $g(x)=\dfrac{x+3}{6}$ and the graphs of these functions are shown below.

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1 year ago

Write an addition equation or a subtraction equation (your choice!) to describe the diagram.

harina [27]

Answer:

(-9) + (-2) = -11

Step-by-step explanation:

The first arrow on the number line starts from 0, moves downwards 9 units from 0.

We would write this as -9.

Also, the next arrow starts moves from -9, 2 units downwards.

We would write this as -2

The addition equation would be:

(-9) + (-2) = -11

4 0

2 years ago

Show that the equation x^3+6x-5=0 has a solution between x=0 and x=1

Mnenie [13.5K]

Answer:

Since the value of f(0) is negative and the value of f(1) is positive, then there is at least one value of x between 0 and 1 for which f(x) =0.

Step-by-step explanation:

The equation f(x) given is:

$f(x) = x^3+6x-5$

For x = 0. the value of the expression is:

$f(0) = 0^3+0-5\\f(0) = -5$

For x = 1, the value of the expression is:

$f(1) = 1^3+6-5\\f(1)=2$

Since the value of f(0) is negative and the value of f(1) is positive, then there is at least one value of x between 0 and 1 for which f(x) =0.

In other words, there is at least one solution for the equation between x=0 and x=1.

6 0

2 years ago

What is the next step in constructing an angle mno congruent to the given angle with a straightedge and a compass

algol [13]

Answer: ever got the answer?

Step-by-step explanation:

3 0

2 years ago

The equation y=2.54x gives the length y in centimeters corresponding to a length x in inches. What is the length in centimeters

bija089 [108]

The equation given in the question is
y = 2.54 x
In this equation, x is in cm and y is in inches
Size of the ruler = 1 foot
= 12 inches.
Putting the value of 12 inches in the equation, we get
y = 2.54x
= 2.54 * 12
= 30.48 cm
From the above deduction, we can conclude that the length of the ruler is 30.48 cm. I hope that this is answer that you were looking for and the answer has come to your desired help.

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2 years ago