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3 years ago

What’s the equivalent expression

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

4 0

Answer:

9 (2 a - 3)^2

Step-by-step explanation:

Simplify the following:

(6 a - 9)^2

Hint: | Factor out the greatest common divisor of the coefficients of 6 a - 9.

Factor 3 out of 6 a - 9:

(3 (2 a - 3))^2

Hint: | Distribute exponents over products in (3 (2 a - 3))^2.

Multiply each exponent in 3 (2 a - 3) by 2:

3^2 (2 a - 3)^2

Hint: | Evaluate 3^2.

3^2 = 9:

Answer: 9 (2 a - 3)^2

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9/20

NISA [10]

For this case we must find the solution of the following quadratic equation:

$x ^ 2 + 5x + 7 = 0$

Where:

$a = 1\\b = 5\\c = 7$

Then, the solution is given by:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

Substituting the values:

$x = \frac {-5 \pm \sqrt {5 ^ 2-4 (1) (7)}} {2 (1)}\\x = \frac {-5 \pm \sqrt {25-28}} {2}\\x = \frac {-5 \pm \sqrt {-3}} {2}$

By definition we have: $i ^ 2 = -1$

$x = \frac {-5 \pm \sqrt {3i ^ 2}} {2}\\x = \frac {-5 \pm i \sqrt {3}} {2}$

Thus, we have two complex roots.

Answer:

The equation has no real roots.

4 0

4 years ago

last year Patrick paid £2534 for his annual train ticket this year he has to pay £2612 for his annual train ticket. work out the

Aleonysh [2.5K]

Answer:

Percentage increase in the cost of his train ticket = 3% (Approx.)

Step-by-step explanation:

Given:

Cost of annual ticket paid by Patrick last year = £2,534

Cost of annual ticket paid by Patrick current year = £2,612

Find:

Percentage increase in the cost of his train ticket

Computation:

Percentage increase = [(Current - Base) / Base]100

Percentage increase in the cost of his train ticket = [(2,612 - 2,534) / 2,534]100

Percentage increase in the cost of his train ticket = [(78) / 2,534]100

Percentage increase in the cost of his train ticket = [0.03078]100

Percentage increase in the cost of his train ticket = 3.078

Percentage increase in the cost of his train ticket = 3% (Approx.)

3 0

3 years ago

Two planes are heading toward each other. One plane is traveling at 450 mph, and the other plane is traveling at 375 mph. What i

gavmur [86]

Answer:

the rate at which the distance between the planes is changing is 825 each hour

Step-by-step explanation:

The computation of the rate at which the distance between the planes is changing is shown below

= Travelling one plane + travelling another plane

= 450 mph + 375 mph

= 825 mi each hour

Therefore the rate at which the distance between the planes is changing is 825 each hour

We simply applied the above formula so that the correct value could come

And, the same is to be considered

3 0

3 years ago

Theo can run 1/2 mile in 1/10 hour. If theo continues at this rate how far can he run in a hour?

kirill [66]

1/2 mile x 10 = 5 miles

5 0

3 years ago

Emilia lost $4,000 in personal belongings due to a flood at her apartment complex. Fortunately, she had renter’s insurance with

docker41 [41]

She would receive $3500 maximum.

Since she has $10,000 in coverage, the entire $4000 loss is covered. However, the insurance company would only pay her the amount after the deductible has been taken:

4000 - 500 = 3500

3 0

4 years ago