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2 years ago

Which of the following is the complete factorization of 10x - 3 - 3x 2?

1 answer:

5 0

-3x^2+10x-3

This is of the form ax^2+bx+c. We need to find two values, j and k, such that:

jk=ac=9 and j+k=b=10, so j and k must be 1 and 9.

Now replace bx with jx and kx in the original equation...

-3x^2+x+9x-3 now factor 1st and 2nd pair of terms

-x(3x-1)+3(3x-1)

(-x+3)(3x-1) or equivalently...

-(x-3)(3x-1) or as they put it:

-(3x-1)(x-3)

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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

2 years ago

Express 45000 in scientific notation

Ne4ueva [31]

4.5 x 10 to the power of 4

7 0

3 years ago

What is the area of the following figure?

Snowcat [4.5K]

Answer:

16.56‬

Step-by-step explanation:

The area of the square is 2 × 2

The area of the circle is-

A=πr²

A=3.14 × 2²

A=3.14 × 4

A=12.56

You don't need to divide it by half because there are two half circles so it would be a whole circle

12.56 + 4 = 16.56

Sorry if it is wrong

7 0

3 years ago

Read 2 more answers

Olive rolls a 5 on one number cube and then Lolly rolls a 1 on another number cube. Is this a set of independent or dependent ev

rjkz [21]

<h3>Answer: independent </h3>

Reason:

Each cube doesn't affect the other one, which means that the probabilities are not altered. This is assuming that the cubes don't bump into each other when rolling on the table. So either there's enough space on the table, or they take turns one at a time.

6 0

1 year ago

I think of a number, subtract 2 and multiply it by 5. this gives me the same answer as when I take 7 from the number and treble

Darya [45]

30...? i have no idea

8 0

2 years ago