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3 years ago

Explain how the digit 7 can have different values

Mathematics

1 answer:

kakasveta [241]3 years ago

7 0

It could be 7 groups of 1 3 groups of 2 with one left over or 2 groups of 3 with 1 left over

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Find the point on the line y = 3x + 2 that is closest to the origin.

anzhelika [568]

1.
the slope of the line y=3x+2 is the coefficient of x, that is 3.

2.
the slope of any line perpendicular to the line y=3x+2, is m, such that:

$3*m=-1$

so $m= \frac{-1}{3}$

3.
so any line with equation y=-1/3x+k is perpendicular to y=3x+2.

moreover, the line y=-1/3x (so k=0) is the line passing through the origin
(0, 0) and perpendicular to y=3x+2

4. This means that the closest point of y=3x+2 to the origin is the intersection point of lines y=3x+2 and y=-1/3x

5.
to find this point:

3x+2=(-1/3)x
x(3+1/3)=-2
x(9/3+1/3)=-2

x*10/3=-2

$x= \frac{-2*3}{10} = \frac{-6}{10}=-0.6$

thus y is : (-1/3)(-6/10)=0.2

Answer: (-0.6, 0.2)

3 0

3 years ago

My last question please help

xeze [42]

Step-by-step explanation:

(2) (x+2)^2 + (-15x -3)

I hope this will be helpful for you.

4 0

3 years ago

Read 2 more answers

A diver needs to descend to a depth of 100 feet below sea level. She wants to do it in 5 equal descents. How far should she trav

nikklg [1K]

Answer:

She needs to descend 20 feet per descent.

Step-by-step explanation:

100/5 = 20

8 0

3 years ago

The population of a small industrial town was 12 910 in 2000. Each year, the population

balandron [24]

The population in the year 2020 is 4628

<h3>How to determine the population?</h3>

The given parameters are:

Initial, a = 12910

Rate, r = 5%

Since the population decreases, then we make use of an exponential decay function.

This is represented as:

f(n) = a * (1 - r)^n

So, we have:

f(n) = 12910 * (1 - 5%)^n

Evaluate the difference

f(n) = 12910 * 0.95^n

2020 is 20 years from 2000.

So, we have:

f(20) = 12910 * 0.95^20

Evaluate

f(20) = 4628

Hence, the population in the year 2020 is 4628

Read more about exponential functions at:

brainly.com/question/14355665

#SPJ1

6 0

2 years ago

Include parentheses in your answer.<br> (x3 + y3) ÷ (x - y)

-Dominant- [34]

I'm assuming you mean $\frac{x^3+y^3}{x-y}$

we can factor that sum of perfect cubes from $x^2+y^3$ into $(x+y)(x^2-xy+y^2)$

so therefor $\frac{x^3+y^3}{x-y}=\frac{(x+y)(x^2-xy+y^2)}{x-y}$
that is simpliest form

8 0

3 years ago