3 years ago

Write a unit rate for the situation. Round to the nearest hundredth if necessary. 210 heartbeats in 3 minutes

Mathematics

1 answer:

fomenos3 years ago

8 0

Answer:

70 heartbeats per second

Step-by-step explanation:

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Solve the quadratic equation 3x^2 - 9x + 1 = 0 Give answer to 3 significant figures

Orlov [11]

Answer:

Either, (9+√69)/6 or (9-√69)/6

Step wise:

3x²-9x+1=0-------------------(i)

comparing equation onw with (ax²+bx+c=0), we get,

a=3, b=-9, c=1

now,

using Quadratic Formula,

(-b±√b²-4ac)/2a=x

{-(-9)±√(-9)²-4.3.1}/2.3=x

(9±√81-12)/6=x

(9±√69)/6=x

Taking +(ve) sign Taking -(ve) sign

(9+√69)/6=0 (9-√69)/6=0

∴(9+√69)/6=0 ∴(9-√69)/6=0

[∵They cannot be further solved]

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3 years ago

The cost of a pair of jeans was changed from $47 to $42.13. What was the percent change?

zhenek [66]

Answer:

10.36

Step-by-step explanation:

$47 - $42.13 = $4.87
($4.87 ÷ $47) × 100 = 10.36%

6 0

3 years ago

Newton has 28 cows Sally has 17 what is the sum?

melamori03 [73]

Answer: 45

Step-by-step explanation:

Sum is addition so it would be

28+17=45

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2 years ago

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Rewrite the following quadratic functions in intercept or factored form. Show your work.

Dmitry [639]

Answer:

f(x) = 3(x+2)(x-2)

Step-by-step explanation:

We are given the following the quadratic function and we are to rewrite it in intercept or factored form:

$f(x) = 3x^2 - 12$

We can factorize the given function so taking the common factors out of it to get:

$f(x)=3x^2 - 12$

$f(x) = 3 (x^2 - 4)$

The term $(x^2-4)$ is in the form $a^2-b^2$ so it can further be factorized to give:

$f(x) = 3 (x+2)(x-2)$

Therefore, the factored form of the given quadratic function is f(x) = 3(x+2)(x-2).

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2 years ago

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The area of Lake Erie is about 7.1538 times 10 to the power of 8 square miles. The area of the Indian Ocean is about 9.3214 time

andrew-mc [135]

Answer: Should be 7.6745982363164 times larger

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3 years ago