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Kisachek [45]
3 years ago
10

X-intercept and y-intercept of 9.3x+4.2y+3.9=0

Mathematics
1 answer:
hoa [83]3 years ago
7 0

Answer:

y intercept = -0.93

x intercept = -0.42

Step-by-step explanation:

To get x intercept, substitute y for 0 and solve for x.

To get y intercept, substitute x for 0 and solve for y.

X intercept:

9.3x + 4.2y + 3.9 = 0

9.3x + 4.2(0) + 3.9 = 0

9.3x + 3.9 = 0

Subtract 3.9 to get it on the other side

9.3x + 3.9 - 3.9 = 0 - 3.9

9.3x = -3.9

Divide 9.3 to get x by itself

(9.3x) / (9.3) = (-3.9) / (3.9)

x = -0.419355

Since there are some extra numbers, I will round it to the nearest hundredth to make it easier

-0.419355 = -0.42

Y intercept:

9.3x + 4.2y + 3.9 = 0

9.3(0) + 4.2y + 3.9 = 0

4.2y + 3.9 = 0

Subtract 3.9 to get it on the other side

4.2y + 3.9 - 3.9 = 0 - 3.9

4.2y = -3.9

Divide 4.2 to get y by itself

(4.2x) / (4.2) = (-3.9) / (4.2)

x = -0.928571

Round answer to nearest hundredths

-0.928571 = -0.93

Notes:

If your answer is an extended decimal number, round it to the nearest hundredths to make it easier

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Option D: x\sqrt[9]{y^2} is the expression equivalent to xy^{\frac{2}{9}}

Explanation:

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Applying exponent rule, we get,

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Thus, the expression \sqrt{xy^9} is not equivalent to the expression xy^{\frac{2}{9}}

Hence, Option A is not the correct answer.

Option B: \sqrt[9]{xy^2}

The expression can be written as ({xy^2})^{\frac{1}{9}

Applying exponent rule, we get,

x^{\frac{1}{9}} y^{\frac{2}{9}}

Thus, the expression \sqrt[9]{xy^2} is not equivalent to the expression xy^{\frac{2}{9}}

Hence, Option B is not the correct answer.

Option C: x\sqrt{y^9}

The expression can be written as x(y^9)^{\frac{1}{2} }

Applying exponent rule, we get,

x y^{\frac{9}{2}}

Thus, the expression x\sqrt{y^9} is not equivalent to the expression xy^{\frac{2}{9}}

Hence, Option C is not the correct answer.

Option D: x\sqrt[9]{y^{2} }

The expression can be written as x(y^2)^{\frac{1}{9} }

Applying exponent rule, we get,

xy^{\frac{2}{9}}

Thus, the expression xy^{\frac{2}{9}} is equivalent to the expression xy^{\frac{2}{9}}

Hence, Option D is the correct answer.

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