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Andrews [41]
3 years ago
12

Identify the vertex of y = -1 (x-4)^2 +9 and tell whether it’s a minimum or maximum

Mathematics
1 answer:
sladkih [1.3K]3 years ago
7 0

Answer:

maximum at (4, 9)

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = - 1(x - 4)² + 9 is in this form

with vertex = (4, 9)

• If a > 1 then vertex is a minimum

• If a < 0 then vertex is a maximum

here a = - 1 , hence vertex (4, 9) is a maximum

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WILL MARK BRAINLIEST FEELING LAZY WORTH 15 POINTS
Zinaida [17]

The irrational numbers are: √8, √10 and √15

Step-by-step explanation:

A rational number is a number that can be written in the form p/q where p&q are integers and q≠0.

"All the numbers whose square root is not a whole number and has an infinite number of digits after decimal, are irrational numbers"

So in the given options

\sqrt{4} = 2

Which can be written in the required form so √4 is a rational number

\sqrt{8}=2.828427124746190097603.....

√8 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

\sqrt{10}=3.16227766016837933....

√10 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

\sqrt{15}=3.87298334620.....

√15 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

\sqrt{36} = 6

Which can be written in the required form so √36 is a rational number

Hence,

The irrational numbers are: √8, √10 and √15

Keywords: Rational numbers, Irrational numbers

Learn more about rational numbers at:

  • brainly.com/question/3375830
  • brainly.com/question/3398261

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4 0
3 years ago
X
slava [35]

Answer:

Equation 1 x=-16

Equation 2 m=-3

Step-by-step explanation:

Equation 1

3x-x=-24-6

2x=-32

x=-32/2

x=-16

Equation 2

-2m=16-10

-2m=6

m=6/-2

m=-3

6 0
3 years ago
Find the area of this composite figure step by step
xenn [34]

Step-by-step explanation:

areas of the figure = 130.25 ft ².

plz mark my answer as brainlist plzzzz vote me also.

<em>hope </em><em>this</em><em> will</em><em> be</em><em> helpful</em><em> to</em><em> you</em><em> </em><em> </em><em>.</em>

4 0
3 years ago
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What formula should be used to find the circumference of a circle
Inessa05 [86]
The circumference = π x the diameter of the circle (Pi multiplied by the diameter of the circle). Simply divide the circumference by π and you will have the length of the diameter. The diameter is just the radius times two, so divide the diameter by two and you will have the radius of the circle
3 0
3 years ago
Read 2 more answers
A manager finds a moderate negative correlation between the number of computer sales and the number of microwave sales in his st
eduard

The true statement is the correlation is most likely due to a lurking variable.

<h3>What is negative correlation?</h3>

Correlation is a statistical measure used to measure the relationship that exists between two variables. Negative correlation is when there is an inverse relationship between the two variables. If one variable increases, the other variable decreases.

Assume that the store is located near a school where the students live on an allowance. So, students do not have time to buy both computers and microwaves. When students buy computers they do not have enough money to buy microwaves. This explains the negative correlation.

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