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3 years ago

Which answer choice show 36.95 written in expanded form

Mathematics

2 answers:

nlexa [21]3 years ago

6 0

Answer:

Hello!

36.95 written in expanded form is

30 + 6 + 0.9 + 0.05

Hope this helps!

Step-by-step explanation:

cluponka [151]3 years ago

6 0

Expanded form of is 30+6 . 90+500

Tens Ones . Tenths Hundredths
30 6 . 90 500

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Solve y = x2 +7 for x.

FromTheMoon [43]

$\huge\boxed{x=\sqrt{y-7}}$

We are trying to isolate $x$ . Subtract $7$ from both sides. $y-7=x^2$

Find the square root of both sides. $\boxed{\sqrt{y-7}}=x$

<em>Note: I've attached a graph of $y=x^2 +7$ .</em>

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4 years ago

Find the length of the third side to the nearest tenth.<br> 2.<br> 5

3241004551 [841]

Answer:

Step-by-step explanation:

2^2 x 5^2 = 100

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3 years ago

Use the Factor Theorem and synthetic division to show x + 5 is a factor of f(x) = 2x3 + 7x2 − 14x + 5

olga2289 [7]

Answer:

Factor theorem: $f(-5) = 0$ .

Synthetic division: $f(x) = (x + 5)\, (2\, x^2 -3\, x + 1)$ .

Step-by-step explanation:

<h3>Factor Theorem</h3>

By the factor theorem, a monomial of the form $(x - a)$ (where $a$ is a constant) is a factor of polynomial $f(x)$ if and only if $f(a) = 0$ .

In this question, the monomial is $(x + 5)$ , which is equivalently $(x - (-5))$ . $a = -5$ .

$\begin{aligned}& f(-5) \\ &= 2 \times (-5)^{3} + 7 \times (-5)^{2}- 14\times (-5) + 5\\ &= -250 + 175 + 70 + 5 \\ &= 0\end{aligned}$ .

Hence, by the factor theorem, $(x + 5)$ , which is equivalent to $(x - (-5))$ , is a factor of $f(x)$ .

<h3>Synthetic Division</h3>

$\begin{aligned}& f(x) \\ &= 2\, x^{3} + 7\, x^{2} - 14\, x + 5 \\ &= \underbrace{(x + 5) \, (2\, x^2)}_{2\, x^{3} + 10\, x^{2}} - 3\, x^{2} - 14\, x + 5 \\ &= \underbrace{(x + 5) \, (2\, x^2)}_{2\, x^{3} + 10\, x^{2}} + \underbrace{(x + 5)\, (-3\, x)}_{-3\, x^{2} - 15\, x} + (x + 5) \\ &= (x + 5)\, (2\, x^{2} - 3\, x + 1)\end{aligned}$ .