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3 years ago

Which ordered pair is a solution of the equation?

Mathematics

1 answer:

Marrrta [24]3 years ago

6 0

Answer:

Only (-2, 9) is the solution of the equation.

Hence, option 'b' is correct.

Step-by-step explanation:

Given the equation

y = -2x+ 5

Checking the ordered pair (2, -9)

substituting x = 2 and y = -9 in the equation

y = -2x + 5

-9 = -2(2) + 5

-9 = -4 + 5

-9 = 1

FALSE!

L.H.S ≠ R.H.S

Thus, the ordered pair (2, -9) is NOT a solution of the equation.

Checking the ordered pair (-2, 9)

substituting x = -2 and y = 9 in the equation

y = -2x + 5

9 = -2(-2) + 5

9 = 4 + 5

9 = 9

TRUE!

L.H.S = R.H.S

Thus, the ordered pair (-2, 9) is a solution of the equation.

Conclusion:

Only (-2, 9) is the solution of the equation.

Hence, option 'b' is correct.

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Find the un know value diameter= 9.8 circumfrence=? radius=? it is question of pie

Monica [59]

The radius is 4.9 and the Circumference is 9.8π

Step-by-step explanation:

Data:

Diameter = 9.8

Circumference = ?

Radius = ?

Radius

Radius is half of the diameter so radius = $\frac{diameter}{2}$

Radius = $\frac{9.8}{2}$

Radius = 4.9

Circumference

Circumference = 2πr

Circumference = 2π(4.9)

Circumference = 9.8π

Therefore, the radius is 4.9 and the Circumference is 9.8π

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3 years ago

How can Ari simplify the following expression? StartFraction 5 Over a minus 3 EndFraction minus 4 divided by 2 + StartFraction 1

Zielflug [23.3K]

Answer:

$-\frac{8}{3}$

Step-by-step explanation:

Given

$\frac{5}{-3} - \frac{4}{2} + \frac{1}{-3}$

Required

Simpify

The very first step is to take LCM of the given expression

$\frac{-10 -4 - 2}{6}$

Perform arithmetic operations o the numerator

$-\frac{16}{6}$

Divide the numerator and denominator by 2

$-\frac{16/2}{6/2}$

$-\frac{8}{3}$

The expression can't be further simplified;

Hence, $\frac{5}{-3} - \frac{4}{2} + \frac{1}{-3}$ = $-\frac{8}{3}$

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3 years ago

I need help with this graph! I need to solve this equation to understand where to graph the points, I really need help on this t

kvv77 [185]

Answer:2

Step-by-step explanation:

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3 years ago

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What is the simplest form of 8/18 of a fraction?

Ilia_Sergeevich [38]

Answer:

As a fraction? If so, it would be 4/9.

Step-by-step explanation:

To find this answer, you must know that 8 and 18 can both be divided by 2. Which would be 4 and 9. Therefor, you have your answer: 4/9

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3 years ago

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On day two of a study on body temperatures, 106 temperatures were taken. Suppose that we only have the first 10 temperatures to

Hitman42 [59]

Answer:

The 95% confidence interval = (98.225, 98.655)

Step-by-step explanation:

The formula for Confidence Interval =

Mean ± z × standard deviation/√n

Where Mean = 98.44°F

Standard deviation = 0.30°F

n = number of samples is 10

Because our number if samples is small, we use the t score confidence interval formula

Mean ± t × standard deviation/√n

Degrees of Freedom = n - 1

= 10 - 1 = 9

We find the t score of 95% confidence interval and degrees of freedom 9

= 2.262

Hence,

Confidence interval = 98.44 ± 2.262 × 0.30/√10

= 98.44 ± 0.214592162

Confidence Interval

98.44 - 0.214592162

= 98.225407838

≈ 98.225

98.44 + 0.214592162

= 98.654592162

≈ 98.655

The 95% confidence interval = (98.225, 98.655)

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3 years ago