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3 years ago

(using tables of x- and y-values).

Mathematics

1 answer:

aev [14]3 years ago

3 0

Answer:

Step-by-step explanation:

x² - 3 = 2x ( subtract 2x from both sides )

x² - 2x - 3 = 0 ← in standard form

consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (- 2)

the factors are - 3 and + 1 , since

- 3 × + 1 = - 3 and - 3 + 1 = - 2 , then

x² - 2x - 3 = (x - 3)(x + 1) = 0 ← in factored form

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 3 = 0 ⇒ x = 3

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50/24= x/495<br> what does x =

vesna_86 [32]

Answer:

1031.25 =x

Step-by-step explanation:

50/24 = x /495

We can use cross products to solve

50 *495 = 24*x

24750 = 24x

Divide each side by 24

24750/24 =24x/24

1031.25 =x

7 0

3 years ago

Read 2 more answers

Supply the missing information for each of the right triangles described below. In each example, θ = angle, O = opposite side, A

blagie [28]

Answer:

$\therefore O = 1.9096$

Step-by-step explanation:

Six trigonometric ratio:

$sin\theta=\frac{opposite}{hypoteuse}$

$cos\theta=\frac{adjacent}{hypotenuse}$

$tan \theta=\frac{opposite}{adjacent}$
$cosec\theta=\frac{hypotenuse}{opposite}$
$sec\theta=\frac{hypotenuse}{adjacent}$
$tan \theta=\frac{adjacent}{opposite}$

Given that,

θ = angle, O= opposite side, A= adjacent side and H = hypotenuse.

H=11, sin θ=0.1736

We know that,

$sin\theta=\frac{opposite}{hypoteuse}$

$\Rightarrow 0.1736=\frac{O}{11}$

$\Rightarrow O = 11 \times 0.1736$

$\Rightarrow O = 1.9096$

$\therefore O = 1.9096$

3 0

4 years ago

A local rectangular shaped pool used by lap swimmers has dimensions 25 yd by 30 yd and is 5.1 feet deep. Find the cost for filli

Lelu [443]

Answer:

the cost of filling the pool is $386.3

Step-by-step explanation:

Given;

dimension of the rectangular pool, = 25 yd by 30 yd by 5.1 ft

covert the given dimensions to feet;

1 yd = 3 ft

25 yd = 25 x 3 ft = 75 ft

30 yd = 30 x 3 ft = 90 ft

The volume of the rectangular pool in cubic feet (ft³);

Volume = 75 ft x 90 ft x 5.1 ft

Volume = 34,425 ft³

Convert the volume to gallons;

1 ft³ = 7.481 gallons

10,125 ft³ = 34,425 x 7.481 gallons

= 257,533.425 gallons

The cost per a 1000 gallons is $1.50, then cost of the 257,533.425 gallons is calculated as;

$cost = \frac{\$ 1.50}{1000 \ gallons} \times 257,533.425 \ gallons = \$ 386.3$

Therefore, the cost of filling the pool is $386.3

6 0

3 years ago

Show your work as you go along.

lana66690 [7]

2x+3(2x-4y)+8y-2
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8 0

4 years ago

Hey can you please help me posted picture of question

Ksenya-84 [330]

Option A is the correct answer.

The cubic parent function is y = x³ , with no coefficients multiplied to x and with number added to or subtracted from x. Other cubic functions are a modified form of parent cubic function.

So, the answer is y = x³

4 0

4 years ago