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3 years ago

An integer N is less than its opposite. Which of the following must be true of the integer?

Mathematics

2 answers:

valentina_108 [34]3 years ago

8 0

Answer:

N must a negitve number.

Step-by-step explanation:

They opposite would be positive. Anything positive is bigger than a negitve

lozanna [386]3 years ago

4 0

Answer:

The integer must be negative (less than 0)

Step-by-step explanation:

The opposite of a number is the same number but but with the opposite sign (+/-). E. G. The opposite of (+)2 is -2.

If N is less than its opposite, than it means that it is negative as its opposite will be positive (greater than 0). E.g. If N=-2, its opposite would be 2.

2>-2

Hope this helped!

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In two or more complete sentences, compare the number of x-intercepts in the graph of f(t) = t^2 to the number of x-intercepts i

Anvisha [2.4K]

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3 0

2 years ago

....................

denis-greek [22]

Answer:

$\boxed{\large\sf y = 3x - 5}$

Step-by-step explanation:

Here we are given a equation which is ,

$\longrightarrow y = 3x + 6$

We need to find out the equation of the line which is parallel to the given line and passes through the given point .

And as we know that the slope of two parallel lines are equal .

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Therefore the slope of the parallel line will be ,

$\longrightarrow m_{||}= 3$

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$\longrightarrow y - y_1 = m(x - x_1)$

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This is the required answer .

3 0

2 years ago

Un agricultor tiene un terreno cuadrado dedicado al cultivo de hortalizas. Para ampliarlo, quiere comprar el terreno adyacente,

Agata [3.3K]

Answer: 20 meters.

Step-by-step explanation:

The formula for calculate the area of a square is:

$A=s^2$

Where "s" is the side length of the square:

The formula for calculate the area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

Based on the information provided, you know the sum of the areas of the square land and the adjacent land is 600 m². This is:

$A_1+A_2=600\\\\s^2+lw=600$

Knowing that the width of the adjacent land is 10 meters:

$s^2+10l=600$

Since the lenght of the adjacent land and the side lenght of his actual land are equal:

$l=s$

You can substitute this into $s^2+10l=600$ :

$s^2+10s=600\\\\s^2+10s-600=0$

Applying the Quadratic formula, you get:

$s=\frac{-b\±\sqrt{b^2-4ac} }{2a}\\\\s=\frac{-10\±\sqrt{(10)^2-4(1)(-600)} }{2(1)}\\\\s_1=20\\\\s_2=-30$

Since the side lenght cannot be negative, you can determine that this is:

$s=20\ m$

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3 years ago

Six times a number increased by 7 is three more than the number. what’s the number math

padilas [110]

Answer:

Write a multi step equation.

6x+7=x+3

5 0

3 years ago

You invest $2500 in an account at interest rate r, compounded continuously. Find the time required for the amount to double and

marusya05 [52]

P= 2500

r= 0.0465

A= P. e^(rt)

Where:

A = final mount

P = principal investment

r= rate

T= time (years)

To double it:

2 x 2500 = 2500 e^(0.0465 x t)

(2 x2500)/2500= e^(0.0465 x t)

2= e^(0.0465 x t)

Ln 2 = Ln e^(0.0465 x t)

Ln2 =0.0465t (Ln e)

Ln2 = 0.0465 t

t = Ln2 /0.0465

t= 14.91 years

Triple:

3 x2500 = 2500 e^(0.0465 t)

(3 x 2500 ) /2500 = e^(0.0465 t)

3 = e^(0.0465 t)

ln3 = ln e^(0.0465 t)

ln3 = 0.0465t Lne

ln3= 0.0465t

ln3/0.0465 =t

t= 23.63 y

4 0

1 year ago