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2 years ago

What are the solution(s) of the quadratic equation 98 - x2 = 0?

Mathematics

2 answers:

svetlana [45]2 years ago

6 0

Answer:

±7 sqrt(2) = x

Step-by-step explanation:

98 - x^2 = 0

Add x^2 to each side

98 =x^2

Take the square root of each side

±sqrt(98) = sqrt(x^2)

±sqrt(49*2) = x

±7 sqrt(2) = x

Marianna [84]2 years ago

5 0

Answer:

$\huge \boxed{{x = \pm 7\sqrt{2} }}$

Step-by-step explanation:

$98-x^2 =0$

$\sf Add \ x^2 \ to \ both \ sides.$

$98=x^2$

$\sf Take \ the \ square \ root \ of \ both \ sides.$

$\pm \sqrt{98} =x$

$\sf Simplify \ radical.$

$\pm \sqrt{49} \sqrt{2} =x$

$\pm 7\sqrt{2} =x$

$\sf Switch \ sides.$

$x= \pm 7\sqrt{2}$

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Which expression is equivalent to the given polynomial expression?

ivolga24 [154]

Answer:

C. -31m⁴n - 8m²

Step-by-step explanation:

Given:

(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)

Required:

Determine an expression equivalent to it

Solution:

(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)

Distribute the negative sign to open the parentheses

9mn - 19m⁴n - 8m² - 12m⁴n - 9mn

Combine like terms

9mn - 9mn - 19m⁴n - 12m⁴n - 8m²

-31m⁴n - 8m²

Therefore, -31m⁴n - 8m² is an equivalent expression of (9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)

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2 years ago

For two events A and B, a student calculates that P(A and B) = 0.46 and P(B|A) = 0.31. Explain how you can tell that the student

ololo11 [35]

Conditional probability formula is:P ( A and B ) = P ( A ) · P ( B / A )0.46 = P ( A ) · 0.31P ( A ) = 0.46 : 0.31P ( A ) = 1.48And this is impossible because 0 ≤ P ( A ) ≤ 1The student obviously made a mistake.

3 0

2 years ago

A theater company is considering raising the price of its tickets. It currently charges $8.50 for each ticket and sells an avera

Licemer1 [7]

Answer:

The answer is c.

Step-by-step explanation:

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2 years ago

Hailey paid \$13$13dollar sign, 13 for 1\dfrac3{7} \text{ kg}1 7 3 kg1, start fraction, 3, divided by, 7, end fraction, start

LenKa [72]

Answer:

The cost of per kilogram of salami is = $9.1

Step-by-step explanation:

Given:

Hailey paid $13 for $1\frac{3}{7}$ kg of sliced salami.

To find cost per kilogram of salami.

Solution:

We will apply unitary method to find per kilogram cost of salami.

If $1\frac{3}{7}$ kg of salami costs = $13

Then 1 kg of salami will cost in dollars will be = $13\div 1\frac{3}{7}$

In order to divide by mixed numbers, we will convert mixed numbers to fractions.

⇒ $13\div \frac{(7\times1)+3}{7}$

⇒ $13\div \frac{10}{7}$

In order to divide by fractions we will take reciprocal of divisor and then multiply.

⇒ $13\times \frac{7}{10}$

⇒ $\frac{13\times7}{10}$

⇒ $\frac{91}{10}$

⇒ $9.1$

Thus, cost of per kilogram of salami is = $9.1

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2 years ago

Read 2 more answers

A 100-gallon barrel, initially half-full of oil, develops a leak at the bottom. Let A(t) be the amount of oil in the barrel at t

gayaneshka [121]

Answer:

the mathematical model is : $-\frac{1}{A}= kt - \frac{1}{50}$

Step-by-step explanation:

Given that:

Let A(t) to be the amount of oil in the barrel at time t.

However; Suppose that the amount of oil is decreasing at a rate proportional to the product of the time elapsed and the amount of oil present in the barrel.

Then,

$\frac{dA}{dt} \ \alpha \ A^2$