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2 years ago

Identify the vertex of the parabola and tell whether it is a minimum or a maximum.

Mathematics

1 answer:

frozen [14]2 years ago

3 0

Answer:

First parabola's vertex is (-2,2), which is a minimum.

Second parabola's vertex is (3,2), which is a maximum.

Step-by-step explanation:

Simply, a vertex of a quadratic is a graph's turning point.

The maximum and minimum can be identified by seeing if the graph curves up or down.

Maximum occurs when your graph is facing down.

Minimum occurs when your graph is facing up.

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Question is attached.

lions [1.4K]

1. a
2. c
3. b
hope this helps

8 0

2 years ago

I need help finding the answers someone plz help

Harlamova29_29 [7]

Happy New Year from MrBillDoesMath!

Answer:

Proof by ASA congruence postulate. See below

Discussion:

Fact 1 : angle A = angle T (given)

Fact 2: The angles on both sides of point X are equal as vertical angles

are equal.

From these facts it follows that angle M = angle H (as all plane triangles have 180 degrees). Also AM = TH (given) so

In the left triangle In the right triangle

(angle M, side AM, angle A) = (angle H, side TH, angle T)

Hence the triangles have two congruent angles, and congruent sides included between the angles, so they are congruent by ASA.

Thank you,

MrB

8 0

2 years ago

2. The average distance from the sun to the planet Mercury is about 58,000,000 km. The diameter of a human hair is about 0.0025

kodGreya [7K]

Distance of Sun and Mercury = 58,000,000 km.In Scientific notation, it would be: 5.8 × 10⁷ Km
Diameter of a human hair = 0.0025 cmIn scientific notation, it would be: 2.5 × 10⁻³ cm
Before Comparison, we need to bring cms to Kms or vice-versa, so we can easily calculate then, here, we will go from cm to Km.2.5 × 10⁻³ × 10⁻⁵ Km = 2.5 × 10⁻⁸
Now, we can compare the values, 5.8 × 10⁷ Km > 2.5 × 10⁻⁸
[ reason. - power of a smaller number is in negative, it means, it is denominator, which would be very small as compared to other ]
Hope this helps!

3 0

2 years ago

An adult ticket to a museum costs 3$ more than a children’s ticket. When 200 adult tickets and 100 children tickets are sold, th

antiseptic1488 [7]

The cost of children’s ticket is $ 5

<h3>Solution:</h3>

Let "c" be the cost of one children ticket

Let "a" be the cost of one adult ticket

Given that adult ticket to a museum costs 3$ more than a children’s ticket

Cost of one adult ticket = 3 + cost of one children ticket

a = 3 + c ------ eqn 1

Given that 200 adult tickets and 100 children tickets are sold, the total revenue is $2100

200 adult tickets x cost of one adult ticket + 100 children tickets x cost of one children ticket = 2100

$200 \times a + 100 \times c = 2100$

200a + 100c = 2100 ------ eqn 2

Let us solve eqn 1 and eqn 2 to find values of "a" and "c"

Substitute eqn 1 in eqn 2

200(3 + c) + 100c = 2100

600 + 200c + 100c = 2100

600 + 300c = 2100

300c = 1500

Thus the cost of children’s ticket is $ 5

6 0

3 years ago

g A test was conducted to determine if there is a difference between Canadian and American average heart rates. A group of 36 Ca

melisa1 [442]

Answer:

The test statistic | t | =4.45

Step-by-step explanation:

Step(i):-

Given that the first sample size n₁ = 36

Given that the second sample size n₂ = 34

Mean of the first sample x₁⁻ = 68.5

Mean of the second sample x₂⁻ = 70

Step(ii):-

Test statistic

$t = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } } )}$

$t = \frac{68.5-70}{\sqrt{2(\frac{1}{36}+\frac{1}{34} ) } }$

$t = \frac{-1.5}{0.337} = -4.45$

The test statistic | t | = |-4.45| =4.45

6 0

2 years ago