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3 years ago

The archway of the main entrance of a university is modeled by the quadratic equation

Mathematics

1 answer:

Scilla [17]3 years ago

3 0

Answer:

B. (1,5) and (5.25, 3.94)

Step-by-step explanation:

The answer is where the 2 equations intersect.

We need to solve the following system of equations:

y = -x^2 + 6x

4y = 21 - x

From the second equation:

x = 21 - 4y

Plug this into the first equation:

y = -(21 - 4y)^2 + 6(21 - 4y)

y = -(441 - 168y + 16y^2)+ 126 - 24y

y = -441 + 168y - 16y^2 + 126 - 24y

16y^2 + y - 168y + 24y + 441 - 126 = 0

16y^2 - 143y + 315 = 0

y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)

y = 5, 3.938

When y = 5:

x = 21 - 4(5) = 1

When y = 3.938

x = 21 - 4(3.938) = 5.25.

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Why do you add a zero when multiplying two digits by two digits

malfutka [58]

When you add a zero to the problem, it shows you are now multiplying in the double-digits. Let's say you are multiplying 12x12. First you cover up the one then multiply them. Then cover up the two and you have 10. When you multiply them, it ends in a zero. Don't think of it as adding a zero but adding to products.

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3 years ago

Use the "at least once" rule to find the probability of getting at least one 2 in four rolls of a single fair die.

Alexandra [31]

Answer:

Probability of getting at least one 2 equals 0.5177

Step-by-step explanation:

The probability of at least one success is

$P=1-(1-p)^{n}$

where,

'p' is probability of success of 1 trail

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We have probability of getting 2 is 1/6 thus 'p' = 1/6

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$P=1-(1-\frac{1}{6})^{4}\\\\P= 0.51177$

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3 years ago

What is the midpoint of C(5,3 and D(-3,-6)

Nat2105 [25]

Answer:

Step-by-step explanation:

Midpoints of two coordinates is expressed using the formula;

M(X, Y) = (x2+x1/2, y2+y1/2)

Given the coordinates c(5,3) and d(-3,-6)

x1 = 5, y1 = 3, x2 = -3 and y2 = -6

X = x1+x2/2

X = 5+(-3)/3

X = 5-3/2

X = 2/2

X = 1

Also;

Y = y1+y2/2

Y = 3+(-6)/2

Y = 3-6/2

Y = -3/2

Y = -1.5

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2 years ago

A store regularly sold 2 cans of soup for $1.28. It advertised a special sale of 6 cans for $3.12. A customer bought 12 cans at

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The customer saved $1.36 over the regular price

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3 years ago

Read 2 more answers

What is 0.40506100 in scientific notation

Olenka [21]

Answer:

4.0506100 x 10^-1

Step-by-step explanation:

Because all you need to do is move the decimal point to the right once, you write 10^-1 to show that to get back to the original number, you just multiply 4.0506100 by -0.1

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3 years ago