answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Crazy boy [7]
2 years ago
15

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}

You might be interested in
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)

6 0
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:

6 0
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

3 0
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

\frac{dA}{dt}= KA^2

Initially the 100 -gallon barrel is half-full of oil

So, A(0) = 100/2 = 50

\frac{dA}{dt}= KA^2 \ \ \ \ \ \ :A(0)=50

The variable is now being separated as:

\frac{dA}{A^2}=kdl

Taking integral of both sides; we have:

\int\limits\frac{dA}{A^2}=\int\limits \ kdt

-\frac{1}{A}= kt +C

However; since A(0) = 50; Then

t = 0  ; A =50 in the above equation

-\frac{1}{50}= 0 +C

C = - \frac{1}{50}

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

8 0
2 years ago
Other questions:
  • what is a correct first step in solving the inequality –4(3 – 5x)≥ –6x 9? –12 – 20x ≤ –6x 9 –12 – 20x ≥ –6x 9 –12 20x ≤ –6x 9 –1
    14·2 answers
  • renaldo catches the bus at 4:00 onto ride 3.2 miles from his house to the dentist office. He arrives at 4:30 p.m for one hour ap
    13·1 answer
  • The yearly income for an individual with an associate’s degree in 2001 was $53,166 and in 2003 it was $56,970. What is the ratio
    5·2 answers
  • The image is an example of which type(s) of symmetry
    12·2 answers
  • The drama teacher at a high school wants to conduct a survey to determine the percentage of students in the school who are willi
    15·2 answers
  • In a survey of 447 registered voters, 157 of them wished to see Mayor Waffleskate lose her next election. The Waffleskate campai
    14·1 answer
  • Robert is traveling to Mexico for a family vacation. He is bringing 625 U.S. dollars with him. Robert needs to exchange his mone
    6·1 answer
  • In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula StartFraction
    9·1 answer
  • An ant has a mass of 0.005 gram. A grasshopper has a mass 0.5 gram..How many ants would it take to equal the mass of 1 grasshopp
    12·1 answer
  • Johnny starts run at the 2 mile mark and runs 4 miles per hour. Javier starts at the 6 mile mark and runs 2 miles per hour. How
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!