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3 years ago

A die is thrown six times.

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

6 0

It seems like a good probability dad

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Annie is framing a photo with a length of 6 inches and a width of 4 inches. The distance from the edge of the photo to the edge

Ede4ka [16]

Answer:

Part a) The quadratic function is $4x^{2} +20x-39=0$

Part b) The value of x is $1.5\ in$

Part c) The photo and frame together are $7\ in$ wide

Step-by-step explanation:

Part a) Write a quadratic function to find the distance from the edge of the photo to the edge of the frame

Let

x----> the distance from the edge of the photo to the edge of the frame

we know that

$(6+2x)(4+2x)=63\\24+12x+8x+4x^{2}=63\\ 4x^{2} +20x+24-63=0\\4x^{2} +20x-39=0$

Part b) What is the value of x?

Solve the quadratic equation $4x^{2} +20x-39=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem

we have

$4x^{2} +20x-39=0$

$a=4\\b=20\\c=-39$

substitute in the formula

$x=\frac{-20(+/-)\sqrt{20^{2}-4(4)(-39)}} {2(4)}$

$x=\frac{-20(+/-)\sqrt{1,024}} {8}$

$x=\frac{-20(+/-)32} {8}$

$x=\frac{-20(+)32} {8}=1.5\ in$ -----> the solution

$x=\frac{-20(-)32} {8}=-6.5\ in$

Part c) How wide are the photo and frame together?

$(4+2x)=4+2(1.5)=7\ in$

5 0

3 years ago

How do you solve this ?

TEA [102]

$JK=9x-11\\KL=5x+2\\JL=(9x-11)+(5x+2)=(9x+5x)+(-11+2)=14x-9\\\\JK+KL=JL\\\\\text{substitute}\\\\14x-9=10x+7\ \ \ \ |+9\\\\14x=10x+16\ \ \ \ |-10x\\\\4x=16\ \ \ \ |:4\\\\x=4\\\\JK=9x-11\to JK=9(4)-11=36-11=25$

4 0

3 years ago

Circle O has a circumference of 36π cm.

ehidna [41]

Answer:

r = 18 cm

Step-by-step explanation:

The formula for the circumference of a circle is 2πr.

Hence,

2πr = 36π

r = 18 cm

3 0

2 years ago

Find the value of x please help

dezoksy [38]

6x + 1 + 29 = 90

6x + 30 = 90

6x = 90 - 30

6x = 60

x = 60/6

x = 10

7 0

3 years ago

The music for Nadia’s dance routine last for exactly 4 minutes. When Nadia dances her routine, she starts with her music and fin

natima [27]

4 x 60 = 240 seconds

$\frac{12}{60} / \frac{12}{12} = \frac{1}{5}$ of a minute not dancing.

$4 \times 5 = 20 - 1 = 19$ $\frac{19}{20} \times \frac{5}{5} = \frac{95}{100}$

95% of the time dancing

4 0

3 years ago

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