Solve the quadratic equation by any means. Identify the method and complete the explanation on why you chose it. Irrational answers may be left in radical form or approximated with a calculator (round to two decimal places).

x2 − 7x + 12 = 0


(select)
should be used because
(select)
.

Answer:

10, 2x=20

10 the answer is ten

Answer:

90

Step-by-step explanation:

Answer:

its 75 or A.

Step-by-step explanation:

Answer:

I think the surface it is 24 cm

Answer:

B = 49.1°

C = 93.9°

c = 77.9

Step-by-step explanation:

Given:

a = 47, b = 59, and A = 37°

Required:

B, C, and c

Solution:

✔️To find B, apply the law of sines:

[tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} [/tex]

Plug in the values

[tex] \frac{sin(37)}{47} = \frac{sin(B)}{59} [/tex]

Cross multiply

[tex] 47*sin(B) = sin(37)*59 [/tex]

Divide both sides by 47

[tex] \frac{47*sin(B)}{47} = \frac{sin(37)*59}{47} [/tex]

[tex] sin(B) = 0.7555 [/tex]

[tex] B = sin^{-1}(0.7555) [/tex]

[tex] B = sin^{-1}(0.7555) [/tex]

B = 49.0690779° ≈ 49.1° (nearest tenth)

✔️C = 180° - (A + B) (sum of triangle)

C = 180° - (37° + 49.1°)

C = 93.9°

✔️To find c, apply the law of sines:

[tex] \frac{sin(B)}{b} = \frac{sin(C)}{c} [/tex]

Plug in the values

[tex] \frac{sin(49.1)}{59} = \frac{sin(93.9)}{c} [/tex]

Cross multiply

[tex] c*sin(49.1) = sin(93.9)*59 [/tex]

Divide both sides by sin(49.1)

[tex] c = \frac{sin(93.9)*59}{sin(49.1)} [/tex]

c = 77.8766982

c ≈ 77.9 (nearest tenth)

Answer:

$755

Step-by-step explanation:

You can use the formula c = 60m + 35 for this. c is the cost and m is the number of months. Since a year is 12 months, 60m = 60*12 = 720. Then add the one time fee of $35. 720 + 35 = 755.

Answer:

[tex]\mathrm{X\:Intercepts}:\:\left(\frac{-8+\sqrt{82}}{2},\:0\right),\:\left(-\frac{8+\sqrt{82}}{2},\:0\right)[/tex]

Step-by-step explanation:

[tex]f\left(x\right)\:=\:2x^2\:+\:16x\:-\:9[/tex]

- Given

[tex]\mathrm{X\:Intercepts}:\:\left(\frac{-8+\sqrt{82}}{2},\:0\right),\:\left(-\frac{8+\sqrt{82}}{2},\:0\right)[/tex]

By definition of zeros of  a function,  the zeros of the quadratic function f(x) = 2x² + 16x – 9 are [tex]x1=-4+\frac{\sqrt{82}}{2}[/tex] and [tex]x2=-4-\frac{\sqrt{82}}{2}[/tex] .

The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.

That is, the zeros represent the roots of the polynomial equation that is obtained by making f(x)=0.

Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.

In a quadratic function that has the form:

f(x)= ax² + bx + c

the zeros or roots are calculated by:

[tex]x1,x2=\frac{-b+-\sqrt{b^{2}-4ab } }{2a}[/tex]

The quadratic function is f(x) = 2x² + 16x – 9

Being:

the zeros or roots are calculated as:

[tex]x1=\frac{-16+\sqrt{16^{2}-4x2x(-9) } }{2x2}[/tex]

[tex]x1=\frac{-16+\sqrt{256 +72 } }{4}[/tex]

[tex]x1=\frac{-16+\sqrt{328} }{4}[/tex]

[tex]x1=\frac{-16+\sqrt{4x82} }{4}[/tex]

[tex]x1=\frac{-16+2\sqrt{82} }{4}[/tex]

[tex]x1=\frac{-16}{4}+\frac{2\sqrt{82}}{4}[/tex]

[tex]x1=-4+\frac{\sqrt{82}}{2}[/tex]

and

[tex]x2=\frac{-16-\sqrt{16^{2}-4x2x(-9) } }{2x2}[/tex]

[tex]x2=\frac{-16-\sqrt{256 +72 } }{4}[/tex]

[tex]x2=\frac{-16-\sqrt{328} }{4}[/tex]

[tex]x2=\frac{-16-\sqrt{4x82} }{4}[/tex]

[tex]x2=\frac{-16-2\sqrt{82} }{4}[/tex]

[tex]x2=\frac{-16}{4}-\frac{2\sqrt{82}}{4}[/tex]

[tex]x2=-4-\frac{\sqrt{82}}{2}[/tex]

Finally, the zeros of the quadratic function f(x) = 2x² + 16x – 9 are [tex]x1=-4+\frac{\sqrt{82}}{2}[/tex] and [tex]x2=-4-\frac{\sqrt{82}}{2}[/tex] .

Learn more about the zeros of a quadratic function:

brainly.com/question/842305

Answer:

Hello! Your answer would be, D)

Step-by-step explanation:

Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥

Answer:

Step-by-step explanation:

volume = length x width x height

                 ————————————-

                                   3

Answer:

Cranberry juice needed to fill the bottle = 5.2 cups

Step-by-step explanation:

sports drink mix:

Orange juice = 25%

Cranberry juice = 65%

Sprite = 10%

His bottle holds 8 cups of drink.

How much cranberry juice does she need to fill the bottle?

Cranberry juice needed to fill the bottle = 65% of 8 cups

= 65/100 × 8

= 0.65 × 8

= 5.2 cups

Cranberry juice needed to fill the bottle = 5.2 cups

Orange juice needed to fill the bottle = 25% of 8 cups

= 25/100 × 8

= 0.25 × 8

= 2 cups

Orange juice needed to fill the bottle = 2 cups

Sprite needed to fill the bottle = 10% of 8 cups

= 10/100 × 8

= 0.1 × 8

= 0.8 cups

Sprite needed to fill the bottle = 0.8 cups

Answer:It would be 30!

Step-by-step explanation:

You need to line them all up in order and then see the one that sticks out from all of the others. All the other numbers are in the 40s and 50s and this one is 30.

Answer:

C 50 mi

Step-by-step explanation:

You have to use the Pythagorean theorem:

14²+48²

196 + 2304

2500

Now you make the square root of 2500 and found the result: 50 mi

Answer:

It would be D.

Step-by-step explanation:

After graphing, option D best correlates to the red triangles (patient B).

Answer:

10 2/4

Step-by-step explanation:

Answer:

look at the picture i sent

Answer:

Th answer is C u got it right

Step-by-step explanation:

The no. of unique card combinations we can create is 59280

What is permutation and combination?

By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented.

There are 52 cards in a deck in which, there are 12 face cards and 40 numbered cards.

So, by using fundamental principle of counting=40x39x38                                                      =59280

Therefore, the no. of unique card combinations we can create is 59280

Learn more about Permutation and combination,

https://brainly.com/question/1216161

#SPJ2

Answer:

$350

Step-by-step explanation:

[tex]\frac{250}{y} :\frac{5}{7}[/tex]

y · 5 = 250 · 7

5y = 1750

5y ÷ 5 = 1750 ÷ 5

y = 350

Answer:

$350

Step-by-step explanation:

5 is to 250 as 7 is to 'x'

5/250 = 7/x

cross-multiply:

5x = 1750

x = 350

Answer:

⅔

Step-by-step explanation:

slope = (-5-3)/(-14+2) = -8/-12= ⅔

x = 24

Step-by-step explanation:

First, find the length RT. Note that we can use the definition of sine 60:

sin 60° = (12√3)/RT

Solving for RT,

RT = (12√3)/sin60° , sin 60 = (√3)/2

= 24

Since ∆QRT is a 45°-90°-45° triangle, that means that

x = RT = 24

Answer:

24/60 or 0.4

Step-by-step explanation:

3/4×2/5=6/20

4/3×6/20=24/60

24/60

Answer:

10

I took the quiz ;)

Answer:

10

Step-by-step explanation:

First we need to find A and B

A(-7;-6)

B(1;0)

Answer:

C= 200 + 50h

Step-by-step explanation:

Let us represent

Cost to hire movers = C

Number of hour = h

We are told in the question that:

The cost to hire movers is $200 plus $50 each for each hour they work.

Hence ,our linear equation =

C = $200 + $50 × h

C = 200 + 50h

Answer:

not sure but 4 quarts i think

Answer:

4 quarts is greater because it is equal to 16 cups

Answer:

(6,-11)

Step-by-step explanation:

Answer:

0,37

Step-by-step explanation:

Answer:Cut parallel to the base. The base of a pyramid is a square.

Step-by-step explanation:

Answer:

24.77

Step-by-step explanation:

The final without coupons is 31.52, but because you use 4.75 in coupons and 2.00 in manufacturer's rebate, it drops down to 24.77.

Hope this helps!

Given:

Principal value = 2,00,000

Rate of interest = 20% p.a. compounded quarterly.

To find:

The compound interest and the amount after one year.​

Solution:

Formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.

The interest is compounded quarterly. So, the value of n is 4.

Putting [tex]P=200000,\ r=0.2,\ n=4,\ t=1[/tex] in the above formula.

[tex]A=200000\left(1+\dfrac{0.2}{4}\right)^{4(1)}[/tex]

[tex]A=200000\left(1+0.05\right)^{4}[/tex]

[tex]A=200000\left(1.05\right)^{4}[/tex]

[tex]A=200000(1.21550625)[/tex]

[tex]A=243101.25[/tex]

Therefore, the amount after one year is 2,43,101.25.

We know that the compound interest is the difference between amount and principal value. So,

[tex]C.I.=A-P[/tex]

[tex]C.I.=2,43,101.25-2,00,000[/tex]

[tex]C.I.=43,101.25[/tex]

Therefore, the amount is 2,43,101.25 and the compound interest is 43,101.25.