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2 years ago

Pls answer quickly, thanks!!

Mathematics

1 answer:

dybincka [34]2 years ago

7 0

At the equilibrium price p, we can solve for the quantity of goods x :

demand = supply

5200 - 0.0005x = 2800 + 0.0003x

2400 = 0.0008x

x = 3,000,000

With this quantity of goods, the equilibrium price is

p = 5200 - 0.0005 (3,000,000)

p = 5200 - 1500

p = 3700

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If y = x+2 were arranged to y= x+1, how would you graph the new function compare with the first one

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3 years ago

I need help with both if you don’t mind

Anvisha [2.4K]

The first one is A and the second one is A

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3 years ago

Write the expression 12 x 4^2 in words

lawyer [7]

Answer and Step-by-step explanation:

Twelve times four squared.

This is how you would write the expression in word format.

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3 years ago

Item 11

marysya [2.9K]

Answer:

4 ft higher

Step-by-step explanation:

Since the ladder is 10 ft long and its top is 6 feet high(above the ground), we find the distance of its base from the wall since these three (the ladder, wall and ground) form a right angled triangle. Let d be the distance from the wall to the ladder.

So, by Pythagoras' theorem,

10² = 6² + d² (the length of the ladder is the hypotenuse side)

d² = 10² - 6²

d² = 100 - 36

d² = 64

d = √64

d = 8 ft

Since the ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up.

Now, let x be the distance the top of the ladder is moved, the new height of top of the ladder is 6 + x. Since the base moves twice the distance the top of the ladder moves up, the new distance for our base is 8 - 2x(It reduces since it gets closer to the wall).

Now, applying Pythagoras' theorem to the ladder with these new lengths, we have

10² = (6 + x)² + (8 - 2x)²

Expanding the brackets, we have

100 = 36 + 12x + x² + 64 - 32x + 4x²

collecting like terms, we have

100 = 4x² + x² + 12x - 32x + 64 + 36

100 = 5x² - 20x + 100

Subtracting 100 from both sides, we have

100 - 100 = 5x² - 20x + 100 - 100

5x² - 20x = 0

Factorizing, we have

5x(x - 4) = 0

5x = 0 or x - 4 = 0

x = 0 or x = 4

The top of the ladder is thus 4 ft higher

7 0

3 years ago

Find the ratio in simplest form. 30:6 A. 1:5 B. 4:1 C. 5:1

nekit [7.7K]

ANSWER

The simplest form of the ratio
$30:6$
is

$5:1$

EXPLANATION

The ratio given to us is
$30:6$

We can divide each term in ratio by the same number.

To find the ratio in the simplest form we divide the terms in the ratio by their highest common factor, which is
$6.$

This implies that,

$30:6 = \frac{30}{6} : \frac{6}{6}$

We simplify this to obtain,

$30:6 = 5: 1$

The correct answer is C.

Alternatively,

$30:6 = \frac{30}{6}$

$30:6 = \frac{5}{1}$

This implies that,

$30:6 = 5:1$

6 0

3 years ago

Read 2 more answers