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Zepler [3.9K]
3 years ago
7

What is h(x) = –3x2 – 6x + 5 written in vertex form?

Mathematics
1 answer:
katovenus [111]3 years ago
4 0

Answer:

B y = − 3 ( x + 1 ) ^2 + 8

Step-by-step explanation:

Hope it helps.

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you have to divide by 4 not subtracted.  

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A family buys 6 airline tickets online. The family buys travel insurance that costs $18 per ticket. The
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15

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3 years ago
Hannah had 30 dollars to spend on 3 gifts. She spent 8 7 10 dollars on gift A and 4 2 5 dollars on gift B. How much money did sh
Dimas [21]

Answer: \$16\dfrac{9}{10}

Step-by-step explanation:

Given

Hannah had 30 dollars

Money spent on gift A

8\ \dfrac{7}{10}=\dfrac{8\times 10+7}{10}=\dfrac{87}{10}

money spent on gift B

4\ \dfrac{2}{5}=\dfrac{22}{5}

Money spent on gift C

\Rightarrow \text{Total-Money spent on (A+B)}\\\\\Rightarrow 30-\dfrac{87}{10}-\dfrac{22}{5}=30-\dfrac{87}{10}-\dfrac{44}{10}\\\\\Rightarrow \dfrac{300-87-44}{10}=\dfrac{169}{10}\\\\\Rightarrow \$16\ \dfrac{9}{10}

5 0
3 years ago
Simplify the expression using trigonometric identities:
Anastaziya [24]

The simplified expression is the one in option B.

<h3>How to simplify the expression?</h3>

Remember that:

sec(x) = 1/cos(x)\\\\cos(x) = cos(-x)

With these two, we can rewrite the numerator as:

sec(x)*sin(-x) + tan(-x)\\\\\frac{1}{cos(x)}*sin(-x) + tan(x)\\\\\frac{1}{cos(-x)}*sin(-x) + tan(-x)\\\\2*tan(-x)

Replacing that in the given expression, we have:

\frac{2*tan(-x)}{1 + sec(-x)} = \frac{2*tan(-x)}{1 + 1/cos(-x)}

Now, if we multiply and divide by cos(-x), we get:

\frac{2*tan(-x)}{1 + 1/cos(-x)} =  \frac{2*tan(-x)}{1 + 1/cos(-x)}*\frac{cos(-x)}{cos(-x)} \\\\= \frac{2*sin(-x)}{1 + cos(-x)}

Now remember that:

cos(x) = cos(-x)\\sin(-x) = -sin(x)

With these two properties:

\frac{2*sin(-x)}{1 + cos(-x)} = \frac{-2*sin(x)}{1 + cos(x)}

Then the correct option is B.

If you want to learn more about trigonometric identities:

brainly.com/question/7331447

#SPJ1

3 0
2 years ago
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