Mathematics College

Draw a number line and show all numbers that …

are solutions of the equations (x−1)(x+1)=0.

on a number line that is -5 through 5

Answers

Answer 1
(x-1)(x+1) = 0
x = 1 or x = -1

Ans : -1 and 1

-5 -4 -3 -2 -1  0 1  2  3 4  5
--|--|--|---|---|--|---|--|--|--|--|--


Answer 2
The solution to the above equation:

(x-1)(x+1)=0

is x=1 and x= -1

Therefore, there should be points on the line at 1 and -1

Related Questions

What is the equation for 5n+7=21

Answers

21 - 7 = 14 

5n = 14

14 / 5 = 2.8

N = 2.8 

Hope I helped!

Let me know if you need anything else!

~ Zoe (Rank:'Genius')
Hey there!

To start, you must first isolate the 5n term so that you can solve for the variable of n.

To do this, subtract 7 from both sides:
5n+7=21
     -7   -7
5n=14

Now, divide both sides by 5 to isolate the n term:
5n/5=14/5

You should get a result of n=14/5

Therefore, your final answer should be n=14/5.

To check if the answer is correct, simply plug 14/5 for the variable n in the original equation. If you get a correct mathematical statement when you simplify, the value is correct:
n=14/5
5(14/5)+7=21
14+7=21
21=21

Therefore, n=14/5 is correct.

Hope this helps and have a marvelous day! :)

guy finds how car his house is several locations and makes the table shown how much farther away from guy's house is the library than the cafe?

Answers

5/10's of a mile is the answer

2x+5y=-6 , wht is the x intercept, what is the y intercept

Answers

Final answer:

The x-intercept is (-3,0) and the y-intercept is (0,-6/5).

Explanation:

The x-intercept is the point where the line crosses the x-axis. To find the x-intercept, we set y=0 and solve for x. In the equation 2x+5y=-6, we substitute 0 for y and solve for x:

2x + 5(0) = -6

2x = -6

x = -3

So, the x-intercept is the point (-3,0).

The y-intercept is the point where the line crosses the y-axis. To find the y-intercept, we set x=0 and solve for y. In the equation 2x+5y=-6, we substitute 0 for x and solve for y:

2(0) + 5y = -6

5y = -6

y = -6/5

So, the y-intercept is the point (0,-6/5).

which quadrant is (8, -1) in (A) | (B) || (C) ||| (D) ||||

Answers

because X is positive the point would be to the right of the Y axis and because the Y value is negative, the point would be below the X axis
 this would be the 4th quadrant.

 the answer is D
 see picture:



solve x=4+(4x-4)^(1/2)

Answers

x = 4 + (4x-4) ^ (1/2)
 First, we rewrite the expression:
 x = 4 + (4x-4) ^ (1/2)
 x = 2 (2+ (x-1) ^ (1/2))
 x = 4 + 2 (x-1) ^ (1/2)
 From here we get a solution for x = 10
 To check it we substitute x = 10 in the expression:
 10 = 4 + 2 (10-1) ^ (1/2)
 10 = 4 + 2 (9) ^ (1/2)
 10 = 4 + 2 (3)
 10 = 4 + 6
 10 = 10
 Answer:
 The solution is:
 x = 10

Answer: Option B

x = 10

Step-by-step explanation:

just did it on edge

is possible to have a shape with different dimensions while having the same volume?

Answers

Yes, they could be different and still have the same volume 

yes,

a cuboid with dimensions 2, 4, 8 has volume = 64 unit^3

a cube with side 4 has volume = 64 unit^3

so, they have different shapes but same volume


Push technology is also known as _____.

simulcast
Webcasting
connectivity
data-driven decision-making

Answers

Push technology is also know as Webcasting

WEBCASTING

According to wikipedia ,

push technology is is a style of Internet-based communication where the request for a given transaction is initiated by the publisher or central server.

A webcast is a media presentation distributed over the Internet using streaming media technology to distribute a single content source to many simultaneous listeners/viewers.

If the sum of four consecutive odd integers is 208, what is the smallest of the four integers?

Answers

The least of these numbers is 20.

what term has to be added to x^2-3x to be a trinomial 3/2 9/4 6 9

Answers

Your question is probably what should be added to the given expression to make it a perfect square.

The given expression is:

[tex] x^{2} -3x[/tex]

The formula of [tex] (a-b)^{2} [/tex] is [tex] a^{2} -2ab+ b^{2} [/tex]

Re-writing the given expression:

[tex] x^{2} - 2(x)( \frac{3}{2}) [/tex]

So, we have the square of first term and twice the product of first and second term. What is missing is the square of second term.

So, the complete expression for perfect square will be:

[tex] x^{2} -2(x)( \frac{3}{2})+ ( \frac{3}{2} )^{2} \\ \\ x^{2} -2(x)( \frac{3}{2})+ \frac{9}{4} [/tex]

Therefore, 9/4 should be added to the given expression to make it a perfect square. 

Answer:  The correct option is (B) [tex]\dfrac{9}{4}.[/tex]

Step-by-step explanation:  We are given to find the term that has to be added to [tex]x^2-3x[/tex] to be a perfect trinomial.

Let, c denote the term to be added.

Then,

[tex]x^2-3x+c\\\\=x^2-2\times x\times \dfrac{3}{2}+c\\\\\\=x^2-2\times x\times \dfrac{3}{2}+\dfrac{9}{4}+c-\dfrac{9}{4}\\\\\\=\left(x-\dfrac{3}{2}\right)+c-\dfrac{9}{4}.[/tex]

Therefore, the given expression will be a perfect trinomial if

[tex]c-\dfrac{9}{4}=0\\\\\\\Rightarrow c=\dfrac{9}{4}.[/tex]

Thus, the required term to be added is [tex]\dfrac{9}{4}.[/tex]

Option (B) is CORRECT,

Find the values of a b and c for which the quadratic equation ax^2+bx+c=0 has the solutions -3 and 1

Answers

It may be easier to start from

.. a(x +3)(x -1) = 0
.. a(x^2 +2x -3) = 0

The quadratic
.. ax^2 +bx +c = 0 will have solutions -3 and 1 for ...

.. a ≠ 0
.. b = 2a
.. c = -3a

Peyton has two pizzas each Pizza is cut into 10 equal slices she and her friends eat 14 slices what part of the pizzas did they eat write your answer as a decimal please help

Answers

10 × 2 = 20 <---Total amount of slices.
14/20 <---Fraction eaten over total
7/10 <---Fraction reduced to tenths
0.7 <---is a decimal equal to 7/10

When searching for a lost animal, the search party often creates a circular area with a search radius. Two points of interest in the search are the last known locations the animal was sighted. The two points of interest in this case are the pet’s home, which is located at (-4,5), and the neighbor’s yard, located at (-9,10). If the pet’s home is the center of the circle and the neighbor's yard is on the circle, find the radius of the circle.

Answers

Let
C----------> the center of a circle 
C (-4,5)
A-----------> a point on the circle
A (-9,10)

we know that
the distance between point A and point C is the radius of the circle
A (-9,10)  C (-4,5)

d=√[(y2-y1)²+(x2-x1)²]--------> √[(5-10)²+(-4+9)²]
=√[(-5)²+(5)²]------> √[(25)+(25)]---------> √50
d=7.07 units
r=d--------> r=7.07 units

the equation of a circle is
(x+4)²+(y-5)²=50
see the attached figure

the answer is 
the radius of a circle is 7.07 units

Leo multiplied all numbers from 1 to 11 and wrote the answer on the board. During the break three digits were erased 39,9...6,8... ... . What are the erased digits?

Answers

11! = 39,916,800

The erased digits are 1, 0, 0.

10 + 1 = a. dieciuno c. veintiuno b. once d. nueve

Answers

The answer is B. once. Which is eleven in Spanish.
the correct answer would be B.) once

Searches related to Elon sat on the dock with his fishing rod, when suddenly he felt the rod being pulled down! He reeled in his catch, causing it to ascend at a constant rate of 0.10, point, 1 meters per second. When it reached the water's surface after 35 seconds, Elon found it was only an old shoe. Graph the shoe's altitude (in meters relative to the water's surface) as a function of time (in seconds).

Answers

The graph is attached.

We first graph the point where his catch reached the surface, (35, 0).  Since it travels upward at a constant rate, the graph will be linear.  We also need to know where it starts (what depth it is at when he begins reeling it in).  We can use the formula d=rt as a template for our function.  d would be distance (in our case, depth), r is the rate (speed) and t is the amount of time.

To find how far the catch had to travel to reach the surface, we set up our equation as:
d = 0.1(35) 

This will tell us how much distance it traveled in 35 seconds.  0.1(35)=3.5, so the catch started 3.5m under water.  It then travels up at 0.1 m per second.

A cylinder has a radius of 4x+2 and a height of 5x+4. Which polynomial in standard form best describes the total volume of the cylinder. Use the formula V=pir^2h for the volume of a cylinder.

Answers

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ -----\\ r=4x+2\\ h=5x+4 \end{cases}\implies V=\pi (4x+2)^2(5x+4) \\\\\\ V=\pi [(4x+2)(4x+2)](5x+4)\\\\\\ V=\pi \stackrel{FOIL}{(16x^2+16x+4)}(5x+4) \\\\\\ V=\pi[ (80x^3+80x^2+20x)+(64x^2+64x+16)] \\\\\\ V=80\pi x^3+144\pi x^2+84\pi x+16\pi [/tex]

Use the following diagram to complete the required information. m∠ROS = 20 deg 15' 40", m∠SOT = 10 ° 12' 30" m∠ROT = 30 ° 27' 10" 31 ° 28' 10" 30 ° 28' 10"

Answers

Answer:

Third option 30° 28' 10"

Brainlist?

Step-by-step explanation:

m∠ROT, formed by adjacent angles m∠ROS (20° 15' 40") and m∠SOT (10° 12' 30"), measures 30° 28' 10" according to the Angle Addition Postulate.

Attached diagram.

To find the measure of angle ROT (m∠ROT), you can use the Angle Addition Postulate.

The Angle Addition Postulate states that the measure of an angle formed by two adjacent angles is equal to the sum of the measures of those two angles.

Here m∠ROS and m∠SOT as adjacent angles forming m∠ROT.

m∠ROS = 20 degrees 15 minutes 40 seconds

m∠SOT = 10 degrees 12 minutes 30 seconds

To find m∠ROT, add the measures of m∠ROS and m∠SOT:

m∠ROT = m∠ROS + m∠SOT

First, add the degrees, then the minutes, and finally the seconds separately:

Degrees: 20 degrees + 10 degrees = 30 degrees

Minutes: 15 minutes + 12 minutes = 27 minutes

Seconds: 40 seconds + 30 seconds = 70 seconds

Now, simplify the seconds by converting any excess seconds into minutes:

70 seconds = 1 minute and 10 seconds

Now, add the minutes to the total:

27 minutes + 1 minute = 28 minutes

So, m∠ROT is:

30 degrees 28 minutes 10 seconds

Therefore, the measure of the angle m∠ROT = 30 degrees 28 minutes 10 seconds.

learn more about angles here

brainly.com/question/30147425

#SPJ3

The above question is incomplete, the complete question is:

Use the following diagram to complete the required information. m∠ROS = 20 deg 15' 40", m∠SOT = 10 ° 12' 30"

m∠ROT =

30 ° 27' 10"

31 ° 28' 10"

30 ° 28' 10"

Attached diagram.

116=0.0625. Which calculation is NOT a way to find 1516?

Answers

we have that
1/16=0.0625

we know that
Multiply (0.0625) by 15 is a way to find (15/16)--------> 0.0625*15=0.9375
so
 any operation that results in any other value is not a way to find (15/16)

Answer: 16 divided by 15

Step-by-step explanation:

I got it right.

Charlie reads quickly. He reads 1 and 3 seventh pages every 2 third minutes. Charlie reads at a constant rate. How many pages does charlie read per minute?

Answers

The unit rate would be 1 3/7 ÷ 2/3 10/7 ÷ 2/3 10/7 · 3/2 separate by division, rearrange and multiply 15/7

Charlies reads 15/7, or 2 1/7, page per minute.

Hope this helps a bit.

Find the percentages. 15m is what percent of 60m; 3m; 30m; 1.5 km?

Answers

15m is:
25% of 60m
500% of 3m
50% of 30m
1000% of 1.5m

Here are the calculations to find the percentages:

1. [tex]15\text{m}$ is what percent of $60\text{m}?[/tex]

[tex]\frac{15\text{m}}{60\text{m}} \times 100\% = \frac{1}{4} \times 100\% = 25\%[/tex]

2. [tex]15\text{m}$ is what percent of $3\text{m}?[/tex]

[tex]\frac{15\text{m}}{3\text{m}} \times 100\% = 5 \times 100\% = 500\%[/tex]

3. [tex]15\text{m}$ is what percent of $30\text{m}?[/tex]

[tex]\frac{15\text{m}}{30\text{m}} \times 100\% = \frac{1}{2} \times 100\% = 50\%[/tex]

4. [tex]15\text{m}$ is what percent of $1.5\text{km}?[/tex]

[tex]1.5\text{km} = 1500\text{m}[/tex]

[tex]\frac{15\text{m}}{1500\text{m}} \times 100\% = \frac{1}{100} \times 100\% = 1\%[/tex]

Therefore, the percentages are:

1. [tex]15\text{m}$ is $25\%$ of $60\text{m}[/tex]

2.[tex]15\text{m}$ is $500\%$ of $3\text{m}[/tex]

3. [tex]15\text{m}$ is $50\%$ of $30\text{m}[/tex]

4. [tex]15\text{m}$ is $1\%$ of $1.5\text{km}[/tex]

5 plus 500% of 10 is the same as 110% of what number?

Answers

5+10×500%=5+50=55
55÷110%=50
so 5 plus 500% of 10 is the same as 110% of 50

The sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers?

Answers

let one of the number be x

one number = x
the other number = 3x

Given that the sum of these two number is 44.
x + 3x = 44
4x = 44
x = 44 ÷ 4 
x = 11

x = 11
3x = 11 x 3 = 33

The two numbers are 11 and 33
Set up 2 variables:
x = larger number
y = smaller number

Set up equations:
[tex]x + y = 44[/tex]
[tex]3y = x[/tex]

Solve by substituting. I will use the x already given to us (in second equation) to substitute in 1st equation (x = 3y):
[tex]3y + y = 44[/tex]
[tex]4y = 44[/tex]
[tex]y = 11[/tex]

Plug it back into 2nd equation to solve for x:
[tex]3y = x[/tex]
[tex]3(11) = x = 33[/tex]

So, our two values are: x = 33 and y = 11.

We can check, x + y = 33 + 11 does equal 44 and 33 times is 3 times larger than 11. So, the initial criteria work out and we are right.

How many times bigger is 7 billion than 700 million

Answers

7 billion is 10 times greater than 700 million.

7,000,000,000/700,000,000=10

15% of the toddlers in a preschool class drink water with their lunch. How many toddlers
are in the class if 3 toddlers drink water with their lunch?
(a) Draw a model for the situation (if you prefer to use a 100-grid model or ratio table
model, that’s fine too!) and label the “part,” “whole,” and “percent.”

Answers

15/100 = 3/x

15x = 300
x = 300/15
x = 20 kids

martin paid $120 towards his $2400 credit card bill. what percentage did he pay

Answers

5%
120/2400*100/1 =120/24 =5%

Answer and how you get then answer

Answers

Percent Change = ((new value)/(old value) -1) * 100%
  = (480/540 -1)*100%
  ≈ -11.11%

The number of calories in a child's meal was reduced about 11%.

Assume that the weights of all packages of a certain brand of cookies are normally distributed with a mean of 32 ounces and a standard deviation of 0.3 ounce. find the probability that the mean weight, x¯, of a random sample of 20 packages of this brand of cookies will be between 31.8 and 31.9 ounces.

Answers

That probability is about 6.7%.

If the two equal sides of an isosceles triangle are 2 cm long, find the length of the third side thatmaximizes the area of the triangle.

Answers

The area is a function of the apex angle β according to
  Area = (1/2)(2 cm)²×sin(β)

This will be a maximum for β = 90°. The corresponding length of the third side is
  2√2 cm
  ≈ 2.2828 cm

how do you write 6 less than the product of 3 and a number X?

Answers

3x - 6 is your answer.

if tyrone works 40 hours per week and has no other sources of income what is his total monthly cash inflow

Answers


[tex]18 \times 40 = 720[/tex]

[tex]720 \times 4 = 2880[/tex]

[tex]2880 - 1800 = 1080[/tex]

~~

Answer : B

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey
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