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3 years ago

How many groups of 10 in 100?

Mathematics

2 answers:

taurus [48]3 years ago

8 0

There are 10 groups of 10 In the number 100

PSYCHO15rus [73]3 years ago

3 0

Answer:

10.

Step-by-step explanation:

You get this answer by doing 10 x 10, which is 100.

10 groups of 10 in 100.

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An Epson HR100 printer priced at $379 is sold for $319. What was the percent price reduction?

EastWind [94]

Answer:

The percent price reduction was 15.83%

Step-by-step explanation:

we know that

In this problem

$379 represent the 100%

using proportion

Find out what percentage represent the difference between the original price and the final price

$\frac{\$379}{100\%}=\frac{\$379-\$319}{x}\\\\x=100(60)/379\\\\x=15.83\%$

3 0

3 years ago

Which statement describes the inverse of m(x) = x^2 – 17x?

DochEvi [55]

Given:

The function is

$m(x)=x^2-17x$

To find:

The inverse of the given function.

Solution:

We have,

$m(x)=x^2-17x$

Substitute m(x)=y.

$y=x^2-17x$

Interchange x and y.

$x=y^2-17y$

Add square of half of coefficient of y , i.e., $\left(\dfrac{-17}{2}\right)^2$ on both sides,

$x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

Taking square root on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}$

Add $\dfrac{17}{2}$ on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y$

Substitute $y=m^{-1}(x)$ .

$m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$

We know that, negative term inside the root is not real number. So,

$x+\left(\dfrac{17}{2}\right)^2\geq 0$

$x\geq -\left(\dfrac{17}{2}\right)^2$

Therefore, the restricted domain is $x\geq -\left(\dfrac{17}{2}\right)^2$ and the inverse function is $m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$ .

Hence, option D is correct.

Note: In all the options square of $\dfrac{17}{2}$ is missing in restricted domain.

7 0

3 years ago

PLEASE ANSWER ASAP

Nastasia [14]

Answer:

y = 4 $(2)^{x}$

Step-by-step explanation:

For an exponential function in standard form

y = a $(b)^{x}$

To find the values of a and b, use ordered pairs from the table

Using (0, 4 ), then

4 = a $b^{0}$ ( $b^{0}$ = 1 ), so

a = 4

y = 4 $b^{x}$

Using (1, 8 ), then

8 = 4 $b^{1}$ = 4b ( divide both sides by 4 )

2 = b

Thus

y = 4 $(2)^{x}$ ← exponential function

7 0

3 years ago

7. The jib sail of a yacht is

Rom4ik [11]

Answer:

Pytagora's Theorem

Step-by-step explanation

a = 4 m

b = 15 m

c = ?

a^2 + b^2 = c^2

√ a^2 + b^2 = c

a^2 = 16 m

b^2 = 225 m

√ 16 + 225 = c

√ 241 = 15.52 m

c = 15.52 m

I hope I was helpful

4 0

3 years ago

Complete the square for the function f(x) = x² - 4x + 6. What is the minimum point on a graph of this function?

AVprozaik [17]

Answer:

2,2

Step-by-step explanation:

f(x)=(x-2)^2+2

=2,2

4 0

3 years ago