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3 years ago

Describe an event that involves dice and has a theoretical probability of 5\6.

Mathematics

1 answer:

Grace [21]3 years ago

3 0

Answer:-

Step-by-step explanation:

1-5 marbles are blue you assign them a number and there is 1 red one and he is assign #6

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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

3 years ago

Which phrase best describe the translation from the graphy y=(x+2)² to the graph of y=x²+3

olganol [36]

The graph of the parabola is now vertically translating by 3 units up

3 0

3 years ago

Read 2 more answers

Someone plz help me i'm so confused<br> (click on picture)

Olin [163]

Answer:

the equation to finding slope is this:

y2-y1 / x2-x1

Where y2 is the y value of the second point, y1 is the y value of the first point, x2 is the value of the second x value, and x1 is the x value of the first point.

5-0 / -2-2

5/-4

-5/4 is the slope

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Violet is planning to make 32 semiannual loan payments of $1580 dollars each. If her bank charges an annual interest rate of 3.8

sergij07 [2.7K]

Answer:

$21,623.70

Step-by-step explanation:

A suitable financial calculator can compute the beginning balance and the remaining balance for you. The attachments show a TI-Nspire calculator's TVM solver app being used to answer this question.

The first attachment shows the computation of the loan value. It is about $37,624.54.

The second attachment shows the computation of the remaining balance after 16 of the 32 semi-annual payments have been made.

The loan balance 8 years from the end of the loan will be about $21,623.70.

8 0

2 years ago

√m/3=4<br> My teacher didn't explain how to solve these to well can someone explain?

Andrews [41]

√m/3 = 4

To remove the radical sign, square both sides.

(√m/3)² = 4²
m/3 = 16

To remove the denominator of 3, multiply both sides by 3.
3 (m/3) = 3(16)
m = 48

To check: Substitute m by its value.
√m/3 = 4
√48/3 = 4
√16 = 4
4 = 4

4 0

3 years ago