Explain how you know that x^2-8x+20 is always positive.
Please help.

Explain How You Know That X^2-8x+20 Is Always Positive. Please Help.

Answers

Answer 1

Answer:

if you rearrange to complete the square, you get (x^2-4)^2 +4

and seeing as anything squared will always be positive or zero, the lowest possible value for (x^2-4)^2 is 0, when x = 4

and 0 + 4 = 4, which is greater than 0, so positive

Step-by-step explanation:

Answer 2

We have x^2-8x+20 is always positive.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

x^2-8x+20

=x^2-2.x.4+16+4

if you rearrange to complete the square,

you get (x^2-4)^2 +4

and seeing as anything squared will always be positive or zero,

the lowest possible value for (x^2-4)^2 is 0, when x = 4

and 0 + 4 = 4, which is greater than 0,

so, positive.

To learn more on equation click:

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#SPJ2


Related Questions

PLS HELPP!! thank you

Answers

Answer:

$20.71/[tex]ft^{2}[/tex]

Step-by-step explanation:

290 ÷ 14 = 20.71 (rounded)

What can be concluded about the sphere? Check all that apply. The sphere has a radius of 10 cm. The diameter measure is substituted into the formula to find the volume. The radius is half the diameter. The formula to apply is V = four-thirds B h The volume of the sphere is two-thirds the volume of a cylinder with the same radius and height.

Answers

Answer: Its C and E on engenuity

Step-by-step explanation:

The radius is half the diameter.

The volume of the sphere is two-thirds the volume of a cylinder with the same radius and height.

Answer: C, E

Step-by-step explanation: Got it right on edge

6 x 10 5 is how many times the value of 3 x 10 (Hint: Write your answer in standard form.)​

Answers

Answer:

0.000036

Explanation:

When multiplying a number by 10 to the power of a positive exponent (e.g.  

10

3

), move the decimal in the number that many spaces to the right (e.g.  

4.5

10

3

=

4500

).

When multiplying a number by 10 to the power of a negative exponent (e.g.  

10

4

), move the decimal in the number (the absolute value of) that many spaces to the left (e.g.  

4.5

10

4

=

0.00045

).

For  

3.6

10

5

, move the decimal five spaces to the left:

0.000036

Step-by-step explanation:

8.
Find the selling price of a $450 painting with a 45%
markup.

Answers

The answer is 652.50

450+45%

pls help and neatly show work !!

Answers

Answer:

see explanation

Step-by-step explanation:

The zeros of the graph are x = - 4 and x = 2 , then the factors are

(x + 4)(x - 2) and

y = a(x + 4)(x - 2) ← a is a multiplier

To find a use any other point on the graph and substitute into the equation

Using (0, - 8 ) , then

- 8 = a(4)(- 2) = - 8a ( divide both sides by - 8 )

1 = a

y = (x + 4)(x - 2) = x² + 2x - 8

with b = 2 and c = - 8

The graph is increasing from the turning point ( vertex) to the right

vertex = (- 1, - 9 )

Increasing in the interval [- 1, ∞ )

Jay tossed two coins several times and then
recorded the results in the table below.
Coin Toss Results
Toss 1
H;H
Toss 2
H;T
Toss 3
T;T
Toss 4
T;T
Toss 5
T;H
What is the experimental probability that
the coins will land on different sides on his
next toss?
A.1/5
B.2/5
C.3/5
D.4:5

Answers

Answer: I'm pretty sure that the answer is a

Hope this helps :)

Step-by-step explanation:

8. What is the surface area of the pyramid
shown below?

Answers

Answer:

Surface area of square pyramid = 380 m²

Step-by-step explanation:

Given:

Side of square base =10 m

Height of Square pyramid = 14 m

Find:

Surface area of square pyramid

Computation:

Surface area of square pyramid = Surface area of Base + 4[Surface area of triangle]

Surface area of square pyramid = [side x side] + 4[(1/2)(b)(h)]

Surface area of square pyramid = [10 x 10] + 4[(1/2)(10)(14)]

Surface area of square pyramid = 100 + 4[70]

Surface area of square pyramid = 100 + 280

Surface area of square pyramid = 380 m²

PLEASE HELP!!! I WILL GIVE 30 POINTS!

Write a verbal statement that represents the expression h ÷ 8.


My teacher told me to write out the words for the symbols and numbers.

Please help.

Answers

Answer:

If I have  "h" amount of cookies and I have 8 friends with me, How much would each friend get?

Step-by-step explanation:

Can someone please help me with this math problem:):)

Answers

Answer:

i dont understand

Step-by-step explanation:

 

Find the exact value of each trigonometric function using the unit circle ​

Answers

Answer:

Step-by-step explanation:

use the co-terminal idea Scarlett,  990° = 270 °.  You can see this just by looking at the picture.

Tan(270 ) = sin(270) / cos(270)  = -sin(90) / cos(90)   so now we know that Tan(270) is one of the non-existant angles b/c  cos(90) = 0 and that would mean that we have some number over 0... and then the universe blows up.. like my calc II professor liked to say  :| I think he was being a bit dramatic. :P anyway,  you want answers not long boring stories.. :D   so Tan(270)           DNE  ( does not exist )

If we were to look at a graph of Tan  , we'd see that at 270° or 3[tex]\pi[/tex]/2 ,  Tan runs off to infinity.   So there isn't a number to represent it.  :/    I'm attaching a picture of the  graph

notice in the graph, that when tan gets to 3/2,  it's running off to infinity ??  

Determine the measure of x and the exterior angle.
X =
Exterior Angle =
3x + 25°
20°
X + 550

Answers

Answer:

x=65°  

Step-by-step explanation:

Since all exterior angles add up to 360°.

⇒(3x+25°) + (20°) + (x+55°) =360°

⇒4x+100°=360°                                      {Add up like terms}

⇒4x=260°                                                {Subtract 100 from both sides}

∴  x=65°                                                   {Isolate x (divide both sides by 4)}

I hope this helped you with your math problem but more especially with understanding how to solve.

63, 70, 68, 73, 58, 67. What is the mean absolute deviation for these numbers?

Answers

Answer:

66.5

Step-by-step explanation:

The density of water is 1000 kilograms per cubic meter, and the density of ice is about 916 kilograms per cubic meter. If 575 kilograms of water and 275 kilograms of ice is combined in a container, about how much volume would the mixture take up?
A)5.0 m^3
B)2.3 m^3
C)0.9 m^3
D)0.4 m^3​

Answers

Answer:

Step-by-step explanation:

Its c

does the point ( 2, 1 ) satisfy the equation y = 2x?

Answers

Answer:

No.

Step-by-step explanation:

Y=2x goes up twice and to the right once, it passes through the origin, therefore it won't touch or go pass by point (2,1)

what is the image of the point (-1,-4) after rotation of 90 degrees counterclockwise

Answers

Answer:

(4,1)

Step-by-step explanation:

The mapping is (x, y)=(-y,- x)

(-1,-4)=(4,1)

The 90° counterclockwise is(4,1)

Mark the brainiest if correct

The length of Side C D is 11 inches and the length of Side C F is 11 StartRoot 3 EndRoot inches. What is the length of Side D F? Round to the nearest tenth.

11 inches
15.6 inches
19.1 inches
22 inches

Answers

Answer:

b

Step-by-step explanation:

Erik transformed the equation y = 2(x − 2)2 + 5 from vertex form to standard form. His steps are shown below. Is Erik's work correct? If not, identify and correct his error.
y = 2(x − 2)2 + 5
y = 2(x2 − 4x + 4) + 5
y = 2x2 − 8x + 8 + 5
y = 2x2 − 8x + 13


answer choices


No. The error is in the second line: the expanded form of (x − 2)2 is x2 − 4.

No. The error is in the third line: the product of 2 and x2 − 4x + 4 is 2x2 − 4x + 4.

No. The error is in the fourth line: the sum of 8 and 5 is 12.

Yes. Erik is correct in his transformation from vertex form to standard form.

Answers

It’s yes, your welcome!

Help please please help help please help!!!!

Answers

Answer:

14

Explanation:

8.13×10¹⁴

The answer is 14.
Step by step explanation the equation is 8.13*10^14

Using the graph, determine the coordinates of the vertex of the parabola

Answers

Answer:

The vertex is (3,1)

Step-by-step explanation:

Answer:

(3, 1)

Step-by-step explanation:

Locate the vertex.  Here it represents the maximum value of this quadratic function.  The x-coordinate shown is 3 and the y-coordinate is 1.  Thus, the vertex is (3, 1).

Find the inverse of each of the given functions.
f(x) = 4x - 12

Answers

Answer:

(x + 12) / 4

Explanation:

This was the way I was taught, hopefully it helps you.

y = 4x - 12

x = 4y - 12

x + 12 = 4y

(x + 12) / 4 = y

HELP! Find the area of the parallelogram the figure is not drawn to scale

Answers

Area of a parallelogram= base x height
38 x 35= 1330
It is not 44 because the height and base should form a perpendicular line

The area of the parallelogram in the diagram given is: 1,330 in.²

What is the Area of a Parallelogram?

Area of a parallelogram = (base × height)

Given the following dimensions of the parallelogram:

Base = 38 in.

Height = 35 in.

Area of the parallelogram = 38 × 35

Area of the parallelogram = 1,330 in.²

Learn more about the area of a parallelogram on:

https://brainly.com/question/3050890

Jackie weeded the neighbors' gardens all summer. The 6 neighbors paid:
$4.00 $6.00 $6.00 $5.00$ 8.00 7.00
What was the mean amount paid?

Answers

Mean= average of the numbers
4+6+6+5+8+7=36
36/6=6
The answer is 6

Answer:

7.2

Step-by-step explanation:

(4+6+6+5+8+7)/6=

=7.2$

I have 0.0254 it and they say approximately to 2 decimal place will I include the 0 after the decimal point​

Answers

Yes. You have to include 0.

If we round off this value to 2 decimal places then it is

0.03

Reason: after decimal point or before decimal point if you have to drop some digits and if the digit to be droped are 5 followed by non zero digit then previous digit is increased by 1.

Here, the digits to be droped are 5 and 4 after 0.02 so we increase 2 by 1 that is 3.

Use a proportion to estimate each population. (Please solve both questions, thank you) (I’ll reward you with brainliest :)

20.

total counted: 102
tagged counted: 38
total tagged: 56
21.

total counted: 958
tagged counted: 210
total tagged: 305

Answers

Answer:

Step-by-step explanation:

Step 1. (The capture) Capture a sample  total counted =958, and them back tagged counted=38,total tagged=56

The idea is to estimate the proportion p = m/N of tagged =102.

Step 2. (The recapture) After everything has settled down, capture a new sample of n fish. Count the number of tagged fish. Suppose that k of them are tagged.

It is reasonable that, k/n would be a good estimante for p = m/N.

Accordingly, for an estimate N of N, se solve the equation m/N= k/n.

Plz help me it’s my last question giving brainliest

Answers

Answer:

1) A

This is your last one?

Hope this Helps!Hope this Helps!:)

At a middle school, 74 students have freckles. There are 258 students in the school. To the nearest tenth of a percent, what percent of the students have freckles?

Answers

If there are 258 kids total in school, then let’s take it as 100%
And 74 kids have freckles, so we have to find the % of those kids with freckles.
258–100%
74-?%

Let’s find 1% of the kids.
258/100=2.58

Now let’s find the % of 74 kids.
74/2.58=28.68%~28.7%
(The percent of the kids with freckles is 28.7%)

Miss Gonzales opened an account with a deposit of $2,000,
The account earned annual simple interest.
She did not make any additional deposits or withdrawals.
At the end of 6 years, the balance of the account was $2,696.
What is the annual interest rate on this account?

Answers

Answer:

i think its 18%

. 3m = 16.8. what does m equal to?

Answers

Answer:

m = 56

Step-by-step explanation:

.3m = 16.8

3m = 168

m = 168/3

m = 56

The run is the__
change between two points on a line.
A. rising
B. horizontal
C. average
D. vertical

Answers

Answer:

Horizontal

Step-by-step explanation:

The mathematical definition of slope is very similar to our everyday one. In math, slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run.

Ms. Thompson is baking bread. The recipe calls for 6.5 cups of flour. She has already put in 2 cups.
How many more cups does she need to put in?

Answers

Answer:

4.5 cups flour

Step-by-step explanation:

6.5 - 2 = 4.5

She put 2 cups so if u do
6.5 - 2 =4.5

This is your answer
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