1. What is an example of a quadratic function?
a. Determine the functions minimum or maximum value.
b. Determine the function domain and range.
c. Find the zeros of the function.

2. What is the quadratic formula?
a. When would you use this formula?

3. What is the discriminant?
a. Provide an example.

Answer:

Using the future value (FV) formula,

R = .10/12

N = 12*30

P = 400

Your future value would be $904,195.17

Step-by-step explanation:

Answer:

A. q2 = r2 + s2 – 2rscos(Q)

D. r2 = q2 + s2 – 2qscos(R)

E. s2 = q2 + r2 – 2qrcos(S)

Step-by-step explanation:

The following relation represent the law of cosines.

                  [tex]q^{2}=r^{2}+s^{2} -2rscos(Q) \\\\r^{2}=q^{2}+s^{2} -2qscos(R) \\\\s^{2}=r^{2}+q^{2} -2rqcos(S)[/tex]

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.

It is given that, Q, R, and S are the angles of a triangle, with opposite sides q, r, and s respectively.

A diagram is attached below,

From cosines law,

      [tex]q^{2}=r^{2}+s^{2} -2rscos(Q) \\\\r^{2}=q^{2}+s^{2} -2qscos(R) \\\\s^{2}=r^{2}+q^{2} -2rqcos(S)[/tex]

Above relation represent law of cosines.

Learn more about the Law of cosines here:

https://brainly.com/question/4372174

Answer:

Cost of One Journal =  $3.99

Cost of One pen =  $0.59

Step-by-step explanation:

Let

Cost of One Journal = x

Cost of One pen = y

We can make equation from given statements.

Mr. Bowden purchases 18 journals and 40 pencils for $95.42.

[tex]18x+40y=95.42[/tex]

Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.

[tex]11x+16y=53.33[/tex]

Now solving these equations to find the value of x

[tex]18x+40y=95.42--eq(1)\\11x+16y=53.33--eq(2)[/tex]

Multiply eq(1) with 2 and eq(2) with 5

[tex]36x+80y=190.84\\55x+80y=266.65\\-\:\:\:\:-\:\:\:\;\:\:\:\:\:\:\:-\\---------\\-19x=-75.81\\x=\frac{-75.81}{-19}\\x=3.99\\[/tex]

We get the value of x is: x=3.99

Now, putting value of x in equation 1 to find value of y.

[tex]18x+40y=95.42\\18(3.99)+40y=95.42\\71.82+40y=95.42\\40y=95.42-71.82\\40y=23.6\\y=\frac{23.6}{40}\\y= 0.59[/tex]

So, we get the value of y: y = 0.59

Now, finding the costs:

Cost of One Journal = x = $3.99

Cost of One pen = y = $0.59

Answer: They sold 173 adult tickets and 43 student tickets.

Step-by-step explanation:

Equations:

Solving:

Answer:

[tex] \red{ \bold{ m = 4 \sqrt{10}}} [/tex]

Step-by-step explanation:

By geometric mean theorem:

[tex]m = \sqrt{8 \times 20} \\ \\ m = \sqrt{160} \\ \\ m = \sqrt{16 \times 10} \\ \\ m = \sqrt{ {4}^{2} \times 10} \\ \\\huge \red{ \bold{ m = 4 \sqrt{10}}} \\ \\ [/tex]

Answer:

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

12 divided by 4 = 3

3 divided by 3 = 1

1/4

Answer:

my dad left me

Step-by-step explanation:

my dad left me

Answer:

$430,000

Step-by-step explanation:

1,000,000 * 0.43

Answer:

3)  [tex]f^{-1}(x)=\frac{4x+3}{5}[/tex]

All rectangles are parallelograms

Answer:

-5

Step-by-step explanation:

gradient or slope of line: m = (y'-y)/(x'-x)

line pass (-2,5) (-1,0) (0,-5)

use any of two points: m = (0-5) / (-1 - -2) = -5/1 = -5

Answer:

denominator i think.

Step-by-step explanation:

Answer:

14ft

Step-by-step explanation:

Since the scale is 2in : 7ft, so you would do 7x2 which gets you to 14.

(You would do 7x2 because 4 in/2 in = 2in, that's where the 2 comes from, and 7 because 7ft is part of the scale.)

Hope this helps :D

Answer:

15 cm

Step-by-step explanation:

Answer:

its C 30cm

Step-by-step explanation:

I multiplied 6x5=30

9514 1404 393

Answer:

  [tex]y-0=\dfrac{1}{2}(x -(-2))[/tex]

Step-by-step explanation:

The point-slope form of the equation for a line with slope m through point (h, k) is ...

  y -k = m(x -h)

For m = 1/2 and (h, k) = (-2, 0), the equation is ...

  y - 0 = 1/2(x -(-2))

Answer:

a) $66

b) $48 + $3x

Step-by-step explanation:

4(12)=48

3(6)=18

48+18=66

---------------

4(12)=48

Each snack is $3, so is the bought x snacks, it would be $3x

She would pay $48 on movie tickets and $18 on snacks which would be a grand total of $66. If she bought x amount of snacks the equation would be 3x+48

Step-by-step explanation:

Answer:

i do believe the answer is 6/7

Answer:

B) Yes, by SAS

Step-by-step explanation:

AB=FG(given)

AC=EG(given)

ABC=EFG (given

Answer:

Yes. By SAS.

Step-by-step explanation:

both share ll l and than an angle.

so side angle side is only possibility

brainliest appreciated!

Answer:

Sample size is [tex]n=423[/tex]

Step-by-step explanation:

Given that,

Margin of error [tex]=4[/tex]%

Confidence level [tex]=90[/tex]%

Suppose, sample proportion[tex]=0.5[/tex]

        i.e. [tex]\hat{P}=0.5[/tex]

We know that,

     Margin of error [tex]=2^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }[/tex]

 ∴ [tex]1.64\sqrt{\frac{0.5(0.5)}{n} } \leq 4\%[/tex]

[tex]\Rightarrow 1.64\sqrt{\frac{0.25}{n} } \leq 0.04[/tex]

[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq \frac{0.04}{1.64}[/tex]

[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq 0.0243[/tex]

[tex]\Rightarrow \sqrt{n}\geq \frac{0.5}{0.0243}[/tex]

[tex]\Rightarrow \sqrt{n}\geq 20.57[/tex]

squaring on both side,

∴ [tex]n=423.1249[/tex]

Hence, the sample size is,

   [tex]n=423[/tex]

Hence, the correct option is [tex](b).[/tex]

Answer:

423

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Operations With Fractions

Evaluate the expression:

[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}[/tex]

The division of fractions is can be done by multiplying the fraction on the numerator by the reciprocal of the fraction on the denominator:

[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}=\frac{3}{4}\cdot\frac{4}{5}[/tex]

Simplifying:

[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}=\frac{3}{5}[/tex]

Answer: [tex]\frac{3}{5}[/tex]

Answer:

-0.1692

Step-by-step explanation:

use your cakculator

Answer:

The answer is <GBH

Step-by-step explanation:

ITS because its relation is vertically opposite angle

Answer:

20%

Step-by-step explanation:

2:10 = 2/10. 2/10 = 20/100, which equals 20%.

Answer:multiplication property of equality

Step-by-step explanation:

Answer:

Use y=mx+b

Step-by-step explanation:

A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.

To solve the problem, you use the equation y=mx+b

Answer:

[tex]f(x) = - \frac{5}{2} x + 4[/tex]

Answer:

Yoyo

Step-by-step explanation:

Answer:

24 %

Step-by-step explanation:

thats easy

Answer:

-4.9x²+75x=-4.9x+50x+38

75x=50x+38

25x=38

x=1.52

1.52 -4.9(1.52)²+75(1.52)=102.67904≈102.7 meters

Double check: -4.9(1.52)²+50(1.52)+38=102.67904≈102.7. Yes.

102.7 meter.

Step-by-step explanation:

Answer: 32 sq m.

Step-by-step explanation: add 2,4,and 2 for length of bottom rectangle(8) then multiply that by 3 for area- 24. top would be multiplying 4 by 2- 8. Add 2 areas together and get 32.

Answer:

Angle E, Angle G, Angle F

Step-by-step explanation:

There is a theorem (forget the name) that says if the side opposite to is is larger, then its angle measure is larger. So here they are from smallest to largest. Angle E, Angle G, Angle F

Answer:

m<E < m<G < m<F

Step-by-step explanation:

it is a 30,60,90 Triangle E = 30, G = 60 and F = 90