Write a function rule based on this table..

Step-by-step explanation:

We need to write the function that have two real number zeros by calculating the discriminant i.e. [tex]b^2-4ac[/tex].

We know that,

If D>0  the roots are real and unequal

If D= 0 roots are real and equal

If D< 0 roots are imaginary or not real and unequal

Function (1)

[tex]f(x)=x^2 + 6x + 8\\\\D=6^2-4\times 1\times 8\\\\D=4[/tex]

D>0  the roots are real and unequal

Function (2)

[tex]g(x)=x^2 + 4x + 8\\\\D=4^2-4\times 1\times 8\\\\D=-16[/tex]

D<0  the roots are real and unequal

Function (3)

[tex]h(x)=x^2 -12x+32\\\\D=(-12)^2-4\times 1\times 32\\\\D=16[/tex]

D>0  the roots are real and unequal

Function (4)

[tex]k(x)=x^2 +4x-1\\\\D=(4)^2-4\times 1\times (-1)\\\\D=20[/tex]

D>0  the roots are real and unequal

Function (5)

[tex]p(x)=5x^2 +5x+4\\\\D=(5)^2-4\times 5\times 4\\\\D=-55[/tex]

D<0  the roots are real and unequal

Function (6)

[tex]t(x)=x^2 -2x-15\\\\D=(-2)^2-4\times 1\times (-15)\\\\D=64[/tex]

D>0  the roots are real and unequal

(1),(3),(4) and (6) have two real number zeroes.

Answer:

1,3,4,6

Step-by-step explanation:

EDGE

Answer:

0.00392

Step-by-step explanation:

3.92*10^-3

10^-3= 0.001

So:

3.92*0.001:

0.00392

Answer:

-3920 .

hope this is correct if is pls mark me brainliest

Answer:

i cant see your pic

Step-by-step explanation:

Answer: I’m pretty sure this is right

11. = 12. = 13. < 14. > 15. > 16. >

Step-by-step explanation:

Answer:

the anwser is: B: Supplementary Angles

Step-by-step explanation:

so first you look at NOM and JOK and then you look at the anwsers. B is the most relevant because a supplementary angle means that the angles are 180 degrees.and they are... so yeah its b

We have been given that a rectangular yard is fenced in using 319 feet of custom fence Your friends really like the fence and decide to fence in their yard using the same fence.  Their yard is similar but has a scale factor of 8/5 times the size of  yours.

We are asked to find the length of fence that your friends should purchase.

Since the size of your friend's yard is [tex]\frac{8}{5}[/tex] times your yard, so your friend should purchase [tex]\frac{8}{5}[/tex] times the 319 feet.

[tex]\text{Length of fence your friend should purchase}=\frac{8}{5}\times 319\text{ ft}[/tex]

[tex]\text{Length of fence your friend should purchase}=8\times 63.8\text{ ft}[/tex]

[tex]\text{Length of fence your friend should purchase}=510.4\text{ ft}[/tex]

Upon rounding our answer to nearest foot, we will get:

[tex]\text{Length of fence your friend should purchase}\approx 510\text{ ft}[/tex]

Therefore, your friends should purchase 510 feet of fence and option C is the correct choice.

Answer:

5. 13841287201 x 2401

6. 64 to the 4th power

7. idk

Step-by-step explanation:

Answer:

Pizza: 27°

Curry: 108°

Fish and Chips: 63°

Kabab: 27°

Other: 135°

Step-by-step explanation:

Frequency 40 = 360°

Pizza (3) = [tex]\frac{3}{40}[/tex] * 360° = 27°

Curry (12) = [tex]\frac{12}{40}[/tex] * 360° = 108°

Fish and Chips (7) = [tex]\frac{7}{40}[/tex] * 360° = 63°

Kabab (3) = [tex]\frac{3}{40}[/tex] * 360° = 27°

Other (15) = [tex]\frac{15}{40}[/tex] * 360° = 135°

27 + 108 + 63 + 27 + 135 = 360

Answer:

9 and 11

Step-by-step explanation:

The sum of the squares of two consecutive positive odd integers is 202.

Let first number be x and other number is (x+2).

According to question,

[tex]x^2+(x+2)^2=202\\\\x^2+x^2+4+4x=202\\\\2x^2+4x+4=202\\\\2x^2+4x-198=0[/tex]

It is a quadratic equation. The solution of a quadratic equation is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

We have, a = 2, b = 4 and c = -198

So,

[tex]x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, \dfrac{-b- \sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-4+ \sqrt{4^2-4\times 2\times (-198)} }{2(2)}, \dfrac{-b- \sqrt{b^2-4ac} }{2a}\\\\x=9, -11[/tex]

So, first positive odd integer is 9 and second one is (9+2)=11

Answer:

see explanation

Step-by-step explanation:

The inequality tells us that x ≠ - 1 or ≠ 4

All integer values between these two are valid, that is possible values are

x = 0, 1, 2, 3

Answer:

The value also increases

Step-by-step explanation:

The expression also increases like when you add one, it becomes c + 3

Answer:

The answer is #3

Step-by-step explanation:

The down payment is 5 so the chart will start at 5. It will then increase by 2.50 each time.

Answer: -7 , anything bellow 0 is just - then the number.

Answer:

-7 °C

OR

266 K

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

Answer:

3 7/23

Step-by-step explanation:

Hope this helps.

Mixed fractions are a fraction that represents their quotient and remainder. It is a type of fraction in which the whole number part and fractional part is present.

At first, we have to find the common denominator LCD [tex]=11*5=55[/tex];

Now, [tex]\frac{36}{11}=\frac{180}{55}[/tex]  and [tex]\frac{17}{5}=\frac{187}{55}[/tex]

So, from above we get;

[tex]\frac{181}{55} , \frac{182}{55},\frac{183}{55}, \frac{184}{55} ,\frac{185}{55} ,\frac{186}{55}[/tex] as mixed fractions between given mixed fractions.

Again, we will multiply both denominator and numerator by 2, and we get;

[tex]\frac{180}{55}=\frac{360}{110}[/tex]  and [tex]\frac{187}{55} =\frac{374}{110}[/tex]

So, repeating the same step, we get;

[tex]\frac{361}{110},\frac{362}{110} ,\frac{363}{110} ,\frac{364}{110} ,\frac{365}{110},\frac{366}{110} ,\frac{367}{110} ,\frac{368}{110},\frac{369}{110} ,\frac{370}{110} ,\frac{371}{110} ,\frac{372}{110} ,\frac{373}{110}[/tex] are mixed fractions

between given mixed fractions.

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction

A mixed fraction is one whose value is always greater than 1 and it has a whole number part and a proper fraction. For example, 325 3 2 5 is a mixed number. An improper fraction is one in which the numerator is always greater than or equal to the denominator.

To learn more about mixed fractions, refer to:

https://brainly.com/question/700977

#SPJ2

Answer:

D, 34,000 milliliters

Step-by-step explanation:

There are 1,000 milliliters in a liter. So, if we had 1 liter, we would have 1*1,000=1,000 milliliters.

When you change the 1 liter to 34, we can just substitute 34 for 1. So, the answer is 34*1,000=34,000 milliliters, or D

Answer:

Answer:

Simple Random Sampling

Explanation:

In this sampling method, individuals are chosen by chance by allocating a number to them. As in this case a random number was generated to pick which voters to call.

Step-by-step explanation:

Answer:

try searching it

it helps to know what linear is and how to graph it

ask a teacher if needed

Answer:

I think like 1/2 of 0

Step-by-step explanation:

Answer:1/2

Step-by-step explanation:

Answer:

4ab^2

Step-by-step explanation:

Answer:

so the greatest common factor would be 4ab^2

Answer: 80

Step-by-step explanation:

Sin x = cos (90-x)

Like sin 30 = cos (90-30) =cos 60

So

90-x=90-80

Then

X=80

Verify your solution by finding the sum of the angles of sin and cos, it will be 90

Answer:

Step-by-step explanation:

Sin Ф = Cos (90 - Ф)

Comparing with this

Sin 80 = Cos (90 - 80) = Cos 10

So, x = 80

Answer:

66.46

Step-by-step explanation:

Answer:

Step-by-step explanation:

3.14*28.9

90.746

So you have to put 25 inside the blank box.

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex] {n}^{25} [/tex]

Step-by-step explanation:

[tex] \sqrt[3]{ {n}^{75} } \\ {n}^{ \frac{75}{3} } \\ = {n}^{25} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

y = - 2(x - 2)² - 3

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, - 3) , thus

y = a(x - 2)² - 3

To find a substitute (1, - 5) a point on the curve into the equation

- 5 = a(1 - 2)² - 3

- 5 = a - 3 ⇒ a = - 5 + 3 = - 2

y = - 2(x - 2)² - 3 ← equation in vertex form

Answer:

B. Metric measurements are based on powers of 10; customary measurements are not.

Step-by-step explanation:

Answer:

B. Metric measurements are based on powers of 10; customary measurements are not

Answer:

20 gallons for 2 hours

Step-by-step explanation:

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

Answer:

50+100n

Step-by-step explanation:

Answer:

The area of the circle is 2520 cm²

Step-by-step explanation:

The area of an arc is given by the following formula:

arc area = pi*r²(angle/360)

In this case we have the area and the angle and we want to find r, so we have:

210 = pi*r²*(30/360)

210 = pi*r²*(1/12)

210*12 = pi*r²

pi*r² = 210*12

r² = 2520/pi

r = sqrt(2520/pi)

r = 28.3221

The area of the circle that has this arc is given by:

area = pi*r²

area = pi*(28.3221)² = 2520 cm²

Answer:

D

Step-by-step explanation:

I got it right on Khan Academy

Answer:

d

Step-by-step explanation:

Answer:

B (8/48)

Step-by-step explanation:

Both B and D are equal to 0.53 repeating, but they asked for the SIMPLIFIED FRACTION.

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