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2 years ago

Two containers designed to hold water are side by side, both in the shape of a

Mathematics

2 answers:

pashok25 [27]2 years ago

8 0

Answer:

Step-by-step explanation:

-BARSIC- [3]2 years ago

4 0

Cylinder A can hold 6902.08 ft^3

Cylinder B can hold 5654.87 ft^3

6902.08 - 5654.87 = 1247.21

The amount that will be left over in container A is 1247.21

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What's the percent of 18?

Harman [31]

18% = 18 / 100 = 0.18;

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3 years ago

Seven pizzas are shared equally between three friends. What fraction of pizza does each friend get? Write your answer as a mixed

vredina [299]

Seven pizzas: 7 pizzas

Shared between 3 friends: 7 pizzas / 3 friends

Simplify the fraction:

7 / 3

(3 goes into 7 twice, 7 - 6 = 1)

2 1/3

The fraction of pizza that each friend gets is 2 1/3.

Hope this helps!! :)

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3 years ago

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Find the sum of the first<br>20 odd numbers.

konstantin123 [22]

Answer:

Hi there.....

Step-by-step explanation:

This is ur answer......

1, 3, 5, 7, 9, 11, 13, 15.................39

Therefore the total sum = 400

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3 years ago

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Convert the following:<br> 22 tons is equivalent to<br> kilograms

Ludmilka [50]

Answer:

19958.1

step-by-step explanation:

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3 years ago

Factor the polynomial, x2 + 5x + 6

patriot [66]

Answer:

Choice b.

$x^{2} + 5\, x + 6 = (x + 3)\, (x + 2)$ .

Step-by-step explanation:

The highest power of the variable $x$ in this polynomial is $2$ . In other words, this polynomial is quadratic.

It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to $0$ .)

After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.

Apply the quadratic formula to find the two roots that would set this quadratic polynomial to $0$ . The discriminant of this polynomial is $(5^{2} - 4 \times 1 \times 6) = 1$ .

$\begin{aligned}x_{1} &= \frac{-5 + \sqrt{1}}{2\times 1} \\ &= \frac{-5 + 1}{2} \\ &= -2\end{aligned}$ .

Similarly:

$\begin{aligned}x_{2} &= \frac{-5 - \sqrt{1}}{2\times 1} \\ &= \frac{-5 - 1}{2} \\ &= -3\end{aligned}$ .

By the Factor Theorem, if $x = x_{0}$ is a root of a polynomial, then $(x - x_0)$ would be a factor of that polynomial. Note the minus sign between $x$ and $x_{0}$ .

The root $x = -2$ corresponds to the factor $(x - (-2))$ , which simplifies to $(x + 2)$ .
The root $x = -3$ corresponds to the factor $(x - (-3))$ , which simplifies to $(x + 3)$ .

Verify that $(x + 2)\, (x + 3)$ indeed expands to the original polynomial:

$\begin{aligned}& (x + 2)\, (x + 3) \\ =\; & x^{2} + 2\, x + 3\, x + 6 \\ =\; & x^{2} + 5\, x + 6\end{aligned}$ .

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3 years ago