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2 years ago

Find an equivalence to 23 in mod 8.

Mathematics

1 answer:

Zigmanuir [339]2 years ago

5 0

23 = 24 - 1, so 23 = -1 = 7 mod 8

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What's to make 3 1/2 dozen muffins. The recipe calls for 3/4 cup of milk an 1 1/8 cup of carrots for a dozen. How much milk does

Nesterboy [21]

So u want 3/4 cup x 3 and 1/2

0.75 x 3.5

= 2.625 - maybe round down to 2.6 or 2 and 1/5 cups I'm not sure it's an awkward number XD

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3 years ago

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Hailey paid \$13$13dollar sign, 13 for 1\dfrac3{7} \text{ kg}1 7 3 kg1, start fraction, 3, divided by, 7, end fraction, space,

dimulka [17.4K]

Answer:

The answer is 9.10, ($9.10).

Step-by-step explanation:

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3 years ago

Factor the polynomial and use the zeros to identify its graph. x4 − 5x3 − 20x2 + 60x + 144

Monica [59]

The zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

<h3>How to factor the polynomial?</h3>

The polynomial is given as:

P(x) = x^4 - 5x^3 - 20x^2 + 60x + 144

Expand the polynomial function

P(x) = x^4 - 10x^3 + 5x^3 + 24x^2 - 50x^2 + 6x^2 + 120x - 60x + 144

Rewrite the function as:

P(x) = x^4 - 10x^3 + 24x^2 + 5x^3 - 50x^2 + 120x + 6x^2 - 60x + 144

Factorize the function

P(x) = x^2(x^2 - 10x + 24) + 5x(x^2 - 10x + 24) + 6(x^2 - 10x + 24)

Factor out x^2 - 10x + 24

P(x) = (x^2 + 5x + 6)(x^2 - 10x + 24)

Expand each bracket

P(x) = (x^2 + 3x + 2x + 6)(x^2 - 4x - 6x + 24)

Factorize each bracket

P(x) = [x(x + 3) + 2(x + 3)][x(x - 6) - 4(x - 6)]

Factor out x + 3 and x - 6

P(x) = (x + 3)(x + 2)(x - 4)(x - 6)

Set to 0

(x + 3)(x + 2)(x - 4)(x - 6) = 0

Solve for x

x =-3, -2, 4 and 6

Hence, the zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

Read more about polynomials at:

brainly.com/question/20896994

5 0

2 years ago

The market price of a house is directly proportional to the total area of the house in square feet. If the price of a 1,500 squa

IrinaK [193]

Answer:

The price of a 2,000 square foot home is $\$400,000$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

Let

x -----> the total area of the house in square feet

y -----> the price of the house

we have

The point (1,500,300,000)

Find the constant of proportionality k

$k=y/x$

substitute

$k=300,000/1,500=200$

The direct equation is equal to

$y=200x$

For $x=2,000\ ft^{2}$

Find the value of y

substitute the value of x in the equation

$y=200(2,000)$

$y=\$400,000$

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3 years ago

What exactly are prime numbers?

nignag [31]

Prime numbers are numbers that only have a factor of one and its self.

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3 years ago

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