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3 years ago

Plz help no guessing

Mathematics

2 answers:

liq [111]3 years ago

4 0

$\sqrt{20}$ is between $\sqrt{16}$ and $\sqrt{25}$ , i.e. between 4 and 5,

Choice C

stich3 [128]3 years ago

3 0

the square root of 20 is 4.47 so I'd say C is the answer

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Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).

KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

$2x^2-3x-6=0$

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

$2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}$

We have to find the value of (a+2)(b+2).

Putting the values:

$(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4$

3 0

2 years ago

Shelby's Ice Cream Shop sold 8 sundaes with nuts and 4 sundaes without nuts. What is the ratio of the number of sundaes with nut

Romashka-Z-Leto [24]

Answer: 2:1

Step-by-step explanation:

The ratio of A to B is given by : $\dfrac{A}{B}$ or A : B .

Given : sundaes with nuts = 4

sundaes without nuts = 8

The ratio of the number of sundaes with nuts to the number of sundaes without nuts = $\dfrac{8}{4}=\dfrac{2}{1}\ \ \ [\text{Divide numerator and denominator by 4 }]$

= 2:1

hence, the required ratio = 2:1 .

3 0

3 years ago

How to simplify (n+2)!/n! <br><br> I will mark brainliest and give a thanks!

borishaifa [10]

It would be (n+2) (n+1)

7 0

3 years ago

Find the amount to be paid at the end of 3years in each case. a) principal =1,200 at12% p.a

Viktor [21]

Answer:

$1632

Step-by-step explanation:

Given data

Principal= $1200

Rate= 12%

Time= 3 years

The simple interest expression is given as

A= P(1+rt)

substitute

A=1200(1+0.12*3)

A=1200(1+0.36)

A=1200*1.36

A=$1632

Hence the amount is $1632

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3 years ago

Look at the image and solve please. I will mark brainliest.

a_sh-v [17]

Answer: sorry i dont know the answer sorry for that i am in 5th grade so i cant

Step-by-step explanation:

5 0

2 years ago