I need to explain what 2 reasons why [tex]f(x)=x^{2} +4[/tex] has no real zeros. im very confused anything helps :)

Answers

Answer 1

Answer:

Answer in explanation

Step-by-step explanation:

The graph of f does not cross the x-axis. We know this because for any value x, we always get that x^2+4 is positive. x^2 is positive or zero ( 0 or greater than 0) for any x but adding 4 to it makes It 4 or greater than 4.

The discriminant is negative.

That is, b^2-4ac is negative.

Upon comparing ax^2+bx+c to x^2+4 we see that a=1, b=0, and c=4..

Plugging those into b^2-4ac gives

(0)^2-4(1)(4)

=0-16

=-16.

Negative discriminant implies two nonreal zeros so it will not cross the x-axis.

(Positive discriminant implies 2 real and zero discriminant imples 1 real.)


Related Questions

What is the MODE of the data - (12, 8, 6, 12, 16, 12) *

help plsssss

Answers

Answer: Mode = 12

Explanation: The mode is the most frequent value, so it is the value that shows up the most. In this case, that would be the value "12" since it shows up three times (while the other values only show up once).

Answer:

12

Step-by-step explanation:

For future reference mode means MOST. So in this data, number 12 is repeated the most. That would mean the MODE is 12.

Good Luck!!!

The circle graph shows carla's spending. If she spent a total of $320, how much was spent on food?

Answers

Answer:

17, add up all the percentages, then subtract 100 by whatever u got, 100-83= 17

____<9 ____ >6 which whole numbers will make both statements true

Answers

Answer:

8 and 8

Step-by-step explanation:

8 is less than 9

8 is more than 6

8 and 8, is the  whole numbers will make both statements true.

i.e. 8<9 & 8>6.

What is number?

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

to find the whole number which will make both statements true,

so, we get,

8 is less than 9

and,

8 is more than 6

Hence, i.e. 8<9 & 8>6.

To learn more on number click:

brainly.com/question/17429689

#SPJ2

solve for x
4(x+7)+98x+45+7y=567

Answers

Subtract 73  from both sides of the equation.

102x+7y=567-73

Subtract 7y from both sides of the equation.

102x=567-73-7y

Subtract 73 from 567

102x=494-7y

Divide each term by 102 and simplify

Divide each term 102x=494-7y by 102

[tex]\frac{102x}{102} =\frac{494}{102} +\frac{-7y}{102}[/tex]

Cancel the greatest common factor which is 102x/102

[tex]\frac{102x}{102} =\frac{494}{102} +\frac{-7y}{102}[/tex]

Divide x by 1[tex]x\frac{492}{102} +\frac{-7y}{102}[/tex]

Cancel the common factor is 494 and 102

Factor 2 out of 494

[tex]x\frac{2(247)}{102} +\frac{-7y}{102}[/tex]

Factor 2 out of 102

[tex]\frac{2*247}{2*51} +\frac{-7y}{102}[/tex]

Cancel the common factor which is 2

Rewrite the expression.[tex]x=\frac{247}{51} +\frac{-7y}{102}[/tex]

Move the negative in front of the fraction

[tex]\frac{247}{51} -\frac{7y}{102}[/tex]

i neeed help with this​

Answers

Answer: Point C.
Because √300=17.3205=17.3 :)
I hope this helped!

Answer:

Definitely point c, because the check means square root of the number. If you look up the square root of 300, then you would get 17.3205080757, in other words point c.

Step-by-step explanation:

Hope this helps!!

PL PLZ HELP 50+ POINTS PLZ ACTUALLY 100+ POINTS IF YOU HELP!!!!!!! ALSO, BRAINLIEST FOR THE BEST ANSWERS FOR ALL OF THEM!!!!

Answers

Answer:

do a unicorn or maybe a jsut a big star or even do the big dipper its a easy constellation

Step-by-step explanation:

what do you call a polygon with nine sides?
a.quadrilateral
b.pentagon
c.hexagon
d.nonagon​

Answers

Answer: nonagon

Step-by-step explanation: quadrilaterals: a shape that has four sides

hexagon: a shape with 6 sides

pentagon: a shape with 5 sides

nonagon: a shape with 9 sides

So the answer is D

can sombody solve this

Answers

Answer:

90 - 43 = x

Step-by-step explanation:

Answer: 47

Step-by-step explanation:

Dude just subtract 43 from 90, since you are given a 90 degree angle.

But if you need the equation: 43+x-7=90

add 43 and (-7) which gives us 36

new equation is now: 36+x=90

move the 36 to the other side

x=54

now plug it in x(54)-7=47

which of the following is equivalent to the expression below when x >0?

Answers

Answer:

C

Step-by-step explanation:

kkgkckyxitxitzoyfoycyoc

Find the value of x for arc AB = 52
degrees and arc CD = 38 degrees.

Select one:
O A. 31.5 degrees
O B. 90 degrees
O C. 45 degrees
D. 30 degrees

Answers

Answer:

The answer of this question is 45°

Use a calculator to approximate the value of this number to three decimal places.

Answers

Answer:

28.478

Step-by-step explanation:

Ten points! Teresa​'s family is thinking about buying a family pass to a gym. The pass is ​$120 for a family of 6. Individual passes are ​$25 each. How much money can Teresa​'s family save by purchasing a family pass instead of 6 individual​ passes?

Answers

Answer: If Teresa‘s family bought individual passes it would be $150 so then if you subtract it would be $30. Teres’s family saved 30 dollars.

Step-by-step explanation:

They can save  $30

Step-by-step explanation:

If the family pass is $120 and individual passes are $25 dollars.

6 people times $25 dollars = $150

Family pass: $125

$150-$125=$30

help me please i love you<33

Answers

Answer:

<B = 95degrees

<D = 137 degrees

Step-by-step explanation:

From the given diagram, the sum of the adjacent sides of the trapezoid is 180degrees. Hence;

<A +<B = 180

85 + <B = 180

<B = 180 - 85

<B = 95degrees

Similarly

<C + <D =180

43 + <D = 180

<D = 180 - 43

<D = 137 degrees

-1 2/3 ÷ -2 1/5
answer this and you get 60 points pls hurry

Answers

Answer:

0.75757575757

Step-by-step explanation:

Blake collects stamps. He collected a total of 175 stamps. If 72% of the stamps he collected were

foreign, how many other stamps did he collect?

Blake collected stamps that were not foreign.

(Type a whole number.)

Answers

Answer: 49

Step-by-step explanation:

If 72% of the stamps he collected were

foreign, the percentage of the other stamps will be: = (100% - 72%) = 28%

Since the total number of stamps collected are 175, the number of other stamps collected will be:

= 28% of 175

= 28% × 175

= 28/100 × 175

= 0.28 × 175

= 49

Therefore, he collected 49 other stamps that were not foreign

Answer:

answer is c

Step-by-step explanation:

Kate poses a $20 item at the store she uses a coupon to receive a 15% discount if you pay the 6% sales tax on the item how much did she pay for the item

Answers

Answer:

the answer is

18.02 dollars in total

Write a number less than 50 that has at least six factors.
List at least six factors of the number you choose.

Answers

Answer:

the number can be 12

1 x 12 = 12

2 x 6 = 12

3 x 4 = 12

answers are
60m cubed
360m cubed
1130m cubed
2260m cubed

Answers

Answer:

≈ 1130 m³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

Here r = 6 and h = 10 , then

V = π × 6² × 10 = π × 36 × 10 = 360π ≈ 1130 m³

Write an equation of the line below

Answers

Answer:

y = 4/5x - 2

Step-by-step explanation:

To create an equation with just a line compare two points on the graph and see how far the x and y points are on the graph then put them into a fraction with y over x then find the y intercept or find where the x coordinate equals 0 in this case it was (0, -2). Now put it all together:

y = mx + b

mx = comparison of two points

b = y intercept

Get 100 points for absolutely nothing thank me later

Answers

Answer:

thanks

Step-by-step explanation:

Answer:

Thank you so much !

You're the best :)

In circle R with QRS=90 and QR= 3 units find the length of arc QS round to the nearest hundredth

Answers

Hello, I Am BrotherEye

Answer:

27.92 units

Step-by-step explanation:

Radius (qr) = r = 16 units

<QŘS = θ = 82°

Length of an arc = (Θ / 360) * 2πr

L = (θ / 360) *2πr

L = (82 / 360) * 2π * 16

L = 0.2777 * 100.53

L = 27.917 units

L = 27.92 unit

Best Of Luck

~

BrotherEye

Stella wants to buy a $177,000 house, and she is comparing a 7/1 ARM with an interest
rate of 8 75%, amortized over 30 years, with a 7/23 balloon mortgage that has an
interest rate of 8.25%
24. What would Stella's monthly payment be for the 7/1 ARM?

Answers

Answer: Are there any answer choices? If there are I could probably help you, thanks <3

Step-by-step explanation:

Solve PLZ The width of a rectangle is 33 inches and the area is at least 165 inches. Which inequality could be used to find the minimum length?

Answers

Answer:

A

Step-by-step explanation:

at least are key words for   [tex]\geq[/tex] symbol

Area is L x W and since you have W its basically:

[tex]33x\geq 165[/tex]

How do I get the answer to question #5?

Answers

Answer:

7 cm

Step-by-step explanation:

Area of a parallelogram formula:

[tex]A=bh[/tex] where b is the base length and h is the height

Plug in known values (A=112, b=16 and h=x)

[tex]112=16x[/tex]

Divide both sides by 16 to isolate x

[tex]\frac{112}{16} = \frac{16x}{16}\\7=x[/tex]

Therefore, x is equal to 7 cm.

I hope this helps!

Trigonometry, can anybody help??

Answers

Answer:

angle B: 39

AC: 7.288

AB: 11.58

(note: you cut off the part about rounding so make sure that it's rounded correctly before you put in your answer)

Step-by-step explanation:

To solve this we will use SOH, CAH, TOA

we have the angle and the one opposite to it which means we can use either SOH or TOA

let's use TOA

tan(51)=(9/x)

x= 7.288

We can now use pahtagaryous theroem to solve for the hyptonouse

we have

9²+7.288²=C²

C=11.58

Finally, to find angle B we will recall that the angles of a triangle must add to 180.

51+90+a=180

a=39

i need help on this one too

Answers

Answer:

V = 235.5

or V = 18π

Step-by-step explanation:

V=πr^2h

Volume of a cylinder is (pi)(radius)(radius)(height)

V = (3.14)(3)(3)(2)

V = 56.52

Or, since it said you can leave it as pi,

V = 18π

Please let me know if you have questions.

4x-9=3 what's the value of X

Answers

Answer:

x=3

Step-by-step explanation:

4x-9=3

4x=3+9

4x=12

x=12/4

x=3

Answer:

x=3

Step-by-step explanation:

1) 4x-9 = 3

2) 4x=12

3) x=3

Check it:

4(3)-9=3

12-9=3 checks :)

can someone pls help me answer this, step by step would be helpful but u don’t have to. ty! :)

Answers

Answer:

The area is: 4x^5 + 8x^3

Equation: (2x^3 + 4x) * 2x^2

^ = exponent

* = multiply

Step-by-step explanation:

When you try to find the rectangle of an area, the formula is:

Length * Width

In this case, the length is:

2x^3 + 4x

And the width is:

2x^2

Now let's solve the equation.

(2x^3 + 4x) * 2x^2

We need to combine like terms

2x^3 + 2x^2 = 4x^5

After evaluating the equation:

4x^5 + 8x^3

The area is: 4x^5 + 8x^3

hope this helped :)

Which statement best describes the function represented by the graph?
The function is increasing on the interval (-2, 0)
and decreasing on the interval (0, 0).
10
8
The function is decreasing on the interval (-0, 0)
and increasing on the interval (0.00).
6
2
The function is increasing on the interval (-0, 0).
2 4 6 8
-4-20
-2
4
The function is decreasing on the interval
(-00, 00
My Progress

Answers

Answer:

this is i-ready, right?? if so I cant provide any info

Step-by-step explanation:

my bad if it's not

please help and show the work, no links :)

Answers

So a triangle will always equal 180°, and since you already have angels Q and R, it’ll be easy to find angel P
Add Q and R together 28° + 67° = 95°
Use 180° and subtract it to 95°
180° - 95° = 85°

Your explanation can easily be “I added both Q and R together and subtracted it by 180 in order to find the angel P”
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