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2 years ago

A die is rolled. Match the events mentioned in the first column with their corresponding probability.

Mathematics

1 answer:

lakkis [162]2 years ago

4 0

Answer:

Step-by-step explanation:

a number greater than 5 - 1/6

a prime number - 1/2

a number greater than 4 - 1/3

a number less than 6 - 5/6

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Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

Answer

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

8 0

2 years ago

Please help me answer.

katen-ka-za [31]

Answer:

Slope-intercept: y=3/4x+1

Sorry idk how to do general form

Step-by-step explanation:

Slope-intercept form is y=mx+b, m being the slope, b being the y-intercept.

The slope of this graph is 3/4, and the y-intercept is 1.

4 0

3 years ago

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Help me outtttttt !!!!!!!!!

Vera_Pavlovna [14]

Answer:try sin 14/x

Step-by-step explanation:

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2 years ago

Which interval is the solution set to 0.35x - 4.8<5.2- 0.9x

stiks02 [169]

Answer:

Solution set {x|x<8}

Step-by-step explanation:

0.35x - 4.8<5.2- 0.9x

0.35x+0.9x<5.2+4.8

1.25x<10

x<10/1.25

x<8

Solution set {x|x<8}

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3 years ago

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Please hurry; Toni's grandparents bought a house in 1975 for $28, 000. Every decade, the value of the house doubles. What will b

lyudmila [28]

Answer:

c. $634,000

Step-by-step explanation:

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3 years ago

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