All categories

2 years ago

What are the solutions of the equation x2-1=15?

Mathematics

2 answers:

bonufazy [111]2 years ago

8 0

Answer:

${x}^{2} - 1 = 15 \\ {x}^{2} = 15 + 1 \\ {x}^{2} = 16 \\ x = \sqrt{16} \\ x = -4,+4$

Step-by-step explanation:

romanna [79]2 years ago

4 0

Answer:

x=4, -4

Step-by-step explanation:

hope this helps!

You might be interested in

A cone of radius 10 cm and height 16 cm is divided into two parts by a plane through the midpoint of its

bazaltina [42]

Answer:

The ratio of their volumes (the top to bottom half) is 1/7

Step-by-step explanation:

The given parameters are;

The radius, r, of the cone = 10 cm

The height of the cone = 16 cm

The point at which the cone is divided = The midpoint of the its axis and parallel to its base

The ratio of the of the volume of the two parts is given as follows;

The volume, V of the entire cone = 1/3 × Base area (π·r²) × Height, h

Therefore;

V = 1/3 × π × 10² × 16 =1600·π/3 = 1675.52 cm³

The height at which the cone is divided = 16/2 = 8 cm

The height, h₁ of the uppermost divided cone = 8 cm

The ratio of the radius to the height of the cone = 10/16 = 5/8

The radius r₁, of the uppermost divided cone = The height of the uppermost divided cone × The ratio of the radius to the height of the cone

∴ r₁ = 8 × 5/8 = 5 cm

The volume, V₁, of the uppermost divided cone = 1/3 × (π·r₁²) × h₁

∴ V₁ = 1/3 × π × 5² × 8 = 200·π/3 = 209.44 cm³

Which gives;

The volume of the lower cone, V₂ = V - V₁

V₂ = 1675.52 cm³ - 209.44 cm³ = 1400·π/3 = 1466.1 cm³

The ratio of their volumes V₁ : V₂ = V₁/V₂ = (200·π/3)/(1400·π/3) = 209.44/1466.1 = 1/7.

7 0

3 years ago

How to simplify 2 and 1 over 4 =

notsponge [240]

2 1/4 is already simplified but to make it into a mixed number the answer is 9/4

5 0

3 years ago

Read 2 more answers

Rooter Plus charges a $25 service fee plus $40 per hour of work done. Is this a proportional or non-proportional relationship?

Dominik [7]

Answer:

Non-proportional; the rate of change is $40/hour

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u>and the line passes through the origin</u>

Let

x -----> the number of hours

y ----> The total charge in dollars

The equation of the line in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$m=40\ \$/h\\b=\$25$

substitute

$y=40x+25$

This relationship is not proportional, because the line not passes through the origin

therefore

Non-proportional; the rate of change is $40/hour

5 0

3 years ago

1/3 x 1/2 x 1/4 = V.

stira [4]

Answer:

Step-by-step explanation:

1*1*1/3*2*4=V

1/24=V

multiply all numerator and all denominator.

5 0

2 years ago

Question 3

Andru [333]

To plot the graph of the data given, we have a lot of options, one common option to plot this kind of data is a column bar graph.

The picture attached show the column bar for the data given, assuming that the age was measured in years and the height was measured in feet.

Some resources that could help to plot data are excel, origin or qtiplot.

3 0

2 years ago