Find the minimum value for the following quadratic equation.
f(x) = 3x2 + 6x-1

Answer:

16

Step-by-step explanation:

28/7 = 4

4 x 4 = 16

16/28 = 4/7

Answer:

Proved

Step-by-step explanation:

Given

[tex]a_n = 2n[/tex]

Required

Prove that [tex]S_n = n(n+1)[/tex]

The given sequence is an arithmetic sequence.

The Sn of this sequence is:

[tex]S_n = \frac{n}{2}(a_1 + a_n)[/tex]

Calculate a1

[tex]a_n =2n[/tex]

[tex]a_1 =2*1[/tex]

[tex]a_1 =2[/tex]

So, we have:

[tex]S_n = \frac{n}{2}(a_1 + a_n)[/tex]

[tex]S_n = \frac{n}{2}(2 + 2n)[/tex]

Factor out 2

[tex]S_n = \frac{n*2}{2}(1 + n)[/tex]

[tex]S_n = n(1 + n)[/tex]

[tex]S_n = n(n + 1)[/tex] --- Proved

I KNOW ITS SAS....................

you need to use SAS

Step-by-step explanation:

so first you write PQ=QR

PQS=SQR

PS=SR

Answer:60,400,696.72

Step-by-step explanation:

it just is...

Step-by-step explanation:

substitute the value in the value of x and u will get the result.

Answer:

Q-22 (a) area of each face (square) = sxs

= 10 x 10

= 100 inches²

Total surface area = 6a²

= 6 x 10 x 10

= 600 inches²

Answer:d) 40 students

for the second one, it would be 26.

Step-by-step explanation:

Answer:

[tex]\frac{dx}{dt}[/tex] = k.x.[1000 - x] ;  

where k is the proportionality  constant

Step-by-step explanation:

Let

The number of people who are infected with the flu = x(t)

Total number of students = 1000

So,

Total number of student who do not expose with the flue = 1000 - x(t)

As given,

We have to find the differential equation such that

The rate at which the disease spreads is proportional to the number of interactions between the number of students who have the flu and the number of students show have not been exposed to it.

⇒[tex]\frac{dx}{dt}[/tex] ∝ x(t) . [ 1000 - x(t) ]

⇒[tex]\frac{dx}{dt}[/tex] = k.x.[1000 - x] ; where k is the proportionality  constant

Answer:

314.16 m^2

Step-by-step explanation:

Answer:

The large one

Step-by-step explanation:

If she  used the WHOLE thing in the large one and HALF in the smaller one then that means there is more in the large one and that it is more choclete.

Answer:

The larger one!

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

what happened that 0 ok live bistro 2.52 and 10 1 which is the quality of the line or 3 x + 100 s y if x = 25

Answer: what does this say

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

There are 9 total outcomes, and 3 are favorable, or are two of the same color in a row. 3/9 simplifies to 1/3. Hope this helps!

Solution :

It is given that :

P (positive | Has disease) = 0.7

P (positive | No disease) = 0.08

P (has disease) = 0.18

P (No disease) = 1 - 0.18

                        = 0.82

Now if test administered to the individual is positive, the probability that the person actually have the disease is

P (Has disease | positive)  [tex]$=\frac{P(\text{positive}| \text{has positive}) \times P(\text{Has disease})}{P(\text{positive})}$[/tex]  ......(1)

The P(positive) is,

[tex]$P(\text{positive}) = P(\text{positive} \cap \text{Has disease})+P(\text{positive} \cap \text{No disease})$[/tex]

                = P(positive | has disease) x P(Has disease) + P(positive | no disease) x P(No disease)

                 = 0.7 (0.19) + 0.04 (0.81)

                = 0.1654

Now substituting the values in the equation (1), we get

P (Has disease | positive)  [tex]$=\frac{P(\text{positive}| \text{has positive}) \times P(\text{Has disease})}{P(\text{positive})}$[/tex]  

                                           [tex]$=\frac{0.7(0.19)}{0.1654}$[/tex]

                                          = 0.8041  

My answer: i need a graph

Answer:

22

Step-by-step explanation:

20% * 40 = 20 / 100 * 40 = 800 / 100 = 8

1/4 * 40 = 40 / 4 = 10

So far we have use 8 + 10 = 18

There are 40 - 18 pages left

articles = 22

Answer:

93°

Step-by-step explanation:

In triangle ABC

one angle = 68°

Another angle = 19°

Let the third angle be X Then

x + 68° + 19° = 180° { being sum of angles of triangle }

x = 180° - 87°

x = 93°

The measure of the third Angle is 93°

Hope it will help :)

Answer: it’s 13.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

The null and alternative hypothesis:

[tex]H_o \text{: Quality of management and reputation of company are independent}[/tex]

[tex]H_a \text{: Quality of management is not independent of the reputation of company }[/tex]

The observed values:

                      Excellent     Good    Fair    Total

Excellent           40               25        8        73

Good                 35               35        10       80

Fair                     25              10         12       47

Total                 100             70          30      200

The expected values  = (Row total/column total)/grand total)

                      Excellent     Good        Fair    

Excellent           36.5          25.55      10.95  

Good                  40             28             12

Fair                    23.5         16.45         7.05

O                E                    (O - E)²/E

40              36.5                0.3356

35              40                   0.6250

25              23.5                0.0957

25              25.55              0.0118

35              28                    1.7500

10               16.45                2.5290

8                 10.95               0.7947

10                12                    0.3333

12                 7.05                3.4755

                                            9.951

[tex]X^2 = \sum \dfrac{(O-E)^2}{E} \\ \\ \mathbf{X^2 = 9.951}[/tex]

Degree of freedom [tex]df = (r-1)(c-1)[/tex]

[tex]df = (3 - 1 ) (3 - 1)[/tex]

[tex]df = (2)(2)[/tex]

[tex]df = 4[/tex]

Using Excel formula =CHIDIST(x²,d.f)

The P-value = 0.0413

Answer:

Brothers Sorry I don't

Step-by-step explanation:

Please give thanks to all my answers and please mark as brilliant and please follow me

Answer:

Step-by-step explanation:

Answer: y=1x+1

Step-by-step explanation:

Rise/Run = 1/1 = 1 = slope

y-intercept : 1

Answer:

y=-2x+1 is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x+2=14 subtract 2 from both sides

3x=12 divide both sides by 3

x=4

Answer:

x ≤ 2

Step-by-step explanation:

Answer:

 -2 °C.

Step-by-step explanation:

Usa el signo + para representar temperaturas arriba de cero y el signo – para representar temperaturas bajo cero.

the answer is will be +50a+125

Answer:

9 and -9

Step-by-step explanation:

x^2:

all you have to do is (-3)^2 = -3 * -3 = 9

-x^2:

this would be -(-3)^2

the order of operations says to do exponents first, so you would have:

-(9) or -9

Answer:

Whole numbers, repeating decimals, and decimals that never end

Step-by-step explanation: