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2 years ago

Need help on this activity!!

Mathematics

1 answer:

Artyom0805 [142]2 years ago

4 0

Answer:

Step-by-step explanation:

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Shawn had a balance of $39 in his checking account. Since then he made deposits of $260 and $428 and wrote checks for $62, $106,

lbvjy [14]

Answer:

238

Step-by-step explanation:

299+428-62-106-126-195

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3 years ago

Evaluate the expression \{10 x 7\}+(10 - 6){10×7}+(10−6)left brace, 10, times, 7, right brace, plus, left parenthesis, 10, minus

aliya0001 [1]

What grade is this? I can get the answer of it but I forgot how

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3 years ago

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Heather has 2 less than 5 times the amount of shoes that Donna has. Gina has 1 more than 2 time

gogolik [260]

Answer:

a. (5x-2)-(2x+1)

b. 3x-3

c.39

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 $(x + 3)$ .