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3 years ago

The roots of a quadratic equation are 5 and 2/3. If one of the two factors is x-5, what could be a second

Mathematics

1 answer:

DaniilM [7]3 years ago

7 0

Answer:

Step-by-step explanation:

Given the roots of quadratic equation to be 5 and 2/3, the two factors are x-5 and x-2/3.

The variable in question are both subtracted from the root given to get the actor of the quadratic equation or polynomial. We can get the resulting quadratic function by multiplying both factors together as shown;

(x-5)(x-2/3)

= x²- 2x/3 -5x +10/3

= x²-(2x-15x)/3+10/3

= x²-17x/3 +10/3

Multiply through by 3

= 3x²-17x +10 = 0

The resulting quadratic equation for both factors will be 3x²-17x +10 = 0 and the other factor is x-2/3

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3 years ago

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be rectangular prism and rectangular pyramid have the same volume. determine the value of x, the height of the pyramid.

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ANSWER

$x= 9 \: in$

EXPLANATION

The volume of a rectangular prism is given by the formula,

$V = l \times b \times h$
We substitute the dimensions to obtain,

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$V = \frac{1}{3} \times 6 \times 12 \times x \: {in}^{3}$

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3 years ago

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Graph the linear equation. Find three points that solve the equation, then plot on the graph. -3y=x-6

nata0808 [166]

Answer:

Step-by-step explanation: x - 6

The given equation can be re-written as y = ---------

-3

Arbitrarily choose x = 0. Then:

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y = --------- = ----------- = 2, so (0, 2) is a point on the graph which is also the

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Arbitrarily choose x = 6. Then y = 0, and (6, 0) is another point on the graph

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3 years ago

What is the least common denominator of<br> 1/3 and 5/9

crimeas [40]

Answer:

Equivalent Fractions with the LCD

1/3 = 3/9

5/9 = 5/9

Solution:

Rewriting input as fractions if necessary:

1/3, 5/9

For the denominators (3, 9) the least common multiple (LCM) is 9.

LCM(3, 9)

Therefore, the least common denominator (LCD) is 9.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

1/3 = 1/3 × 3/3 = 3/9

5/9 = 5/9 × 1/1 = 5/9

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3 years ago