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4 years ago

Which parabola will have a minimum value vertex?

Mathematics

2 answers:

guapka [62]4 years ago

3 0

Answer:

<h2>On a coordinate plane, a parabola opens up with x-intercepts at (negative 2, 0) and (2, 0), and a y-intercept at the vertex (0, negative 4).</h2>

Step-by-step explanation:

Parabollas are characterized by being curves which opens upside or downside.

When the parabolla opens upside, then we say it has a minium.

When the parabolla opens downside, then we say it has a maximum.

In either the minium or maximum point is defined by the vertex.

As you can observe, among the choices, the last one is the only one that opens up, therefore, it has a minimum value vertex.

Tema [17]4 years ago

3 0

Answer:D

Step-by-step explanation:

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Please help! i cant solve it

3241004551 [841]

a ≈ 5.2, B ≈ 50°, C ≈ 95°

Solution:

Given data:

A = 35°, b = 7, c = 9

Using cosine law,

$a^{2}=b^{2}+c^{2}-2 b c \cos A$

$a^{2}=7^{2}+9^{2}-2 (7)(9) \cos 35^\circ$

$a^{2}=49+81-126 (0.82)$

$a^{2}=26.68$

Taking square root on both sides.

a ≈ 5.2

Using sine law,

$$\frac{\sin A}{a} =\frac{\sin B}{b}$

$$\frac{\sin 35^\circ}{5.2} =\frac{\sin B}{7}$

Multiply by 7 on both sides.

$$\frac{0.5735}{5.2}\times 7 =\sin B$

Switch the sides.

Sin B = 0.772

$B=\sin^{-1}0.772$

B ≈ 50°

Sum of all the angles of a triangle = 180°

A + B + C = 180°

35° + 50° + C = 180°

85° + C = 180°

C = 180° - 85°

C = 95°

Hence a ≈ 5.2, B ≈ 50°, C ≈ 95°.

4 0

3 years ago

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Alborosie

Answer:

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4 0

3 years ago

Solve using elimination.<br><br> 8x + 10y = -18<br> 3x + 5y = -18

Y_Kistochka [10]

Answer: The answer is (9, -9)

6 0

3 years ago

Gretchen paid $14.55 for a book. That amount included 6% sales tax. Rounded to the nearest cent, how much did the book cost befo

mars1129 [50]

Answer:

The answer is $13.95

Step-by-step explanation:

You take the price with tax and subtract the tax (by 0.??), and that'll give you your answer. In this case, you the starting price of $14.55 and subtact 0.6 (6%), which gives you $13.95.

8 0

3 years ago

People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable sensations. People with fibromyalg

USPshnik [31]

Answer:

0.1833

Step-by-step explanation:

Given:

% of people with fibromyalgia = 2%

Probability of having a restless leg syndrome for people with fibromyalgia = 0.33

Probability of having a restless leg syndrome for people without fibromyalgia = 0.03

Take F as event of having fibromyalgia

Take R as event of having restless leg

Required:

Find the probability that a person with restless leg syndrome has fibromyalgia.

To find the probability that a person with restless leg syndrome has fibromyalgia, we have: P(F/R)

$P(F/R) = \frac{P(F n R)}{P(R)}$

$P(F/R) =\frac{P(R/F) * P(F)}{P(R/F) * P(F) + P(R/F^c) * P(F^c)}$

Where,

P(R/F) = 0.33

P(F) = 2% = 0.02

P(R/F') = 0.03

P(F') = 1 - 0.02 = 0.98

Therefore,

$P(F/R) = \frac{0.33 * 0.02}{0.33*0.02 + 0.03*0.98}$

= 0.1833

Probability a person with restless leg syndrome has fibromyalgia = 0.1833

Tree diagram is attached

5 0

3 years ago