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Vilka [71]
2 years ago
12

Identify the system of equations that is satisfied by the given ordered pair.

Mathematics
1 answer:
dmitriy555 [2]2 years ago
4 0

Answer:

the answer is B

Step-by-step explanation:

You might be interested in
The minimum/maximum value of the function y = a(x − 2)(x − 1) occurs at x = d, what is the value of d?
daser333 [38]

Answer:

d=\frac{3}{2}=1.5

Step-by-step explanation:

We have the function:

y=a(x-2)(x-1)

And we want to find x=d for which the minimum/maximum value will occur.

Notice that our function is a quadratic in factored form.

Remember that the minimum/maximum value always occurs at the vertex point.

And remember that the x-coordinate of the vertex is the axis of symmetry.

Since a quadratic is always symmetrical on both sides of its axis of symmetry, a quadratic’s axis of symmetry is the average of the two roots/zeros of the quadratic.

Therefore, the value x=d such that it produces the minimum/maximum value is the average of the two roots.

Our factors are <em>(x-2) </em>and <em>(x-1)</em>.

Therefore, our roots/zeros are <em>x=1, 2</em>.

So, the average of them are:

d=\frac{1+2}{2}=3/2=1.5

Therefore, regardless of the value of <em>a</em>, the minimum/maximum value will occur at <em>x=d=1.5</em>.

Alternative Method:

Of course, we can also expand to confirm our answer. So:

y=a(x^2-2x-x+2)\\y=a(x^2-3x+2)\\y=ax^2-3ax+2a

The x-coordinate of the vertex is still going to be the place where the minimum/maximum is going to occur.

And the formula for the vertex is:

x=-\frac{b}{2a}

So, we will substitute <em>-3a</em> for <em>b</em> and <em>a</em> for <em>a</em>. This yields:

x=-\frac{-3a}{2a}=\frac{3}{2}=1.5

Confirming our answer.

4 0
2 years ago
137x8 multiply with expanded form please help 10 ponte for your help please help!
Step2247 [10]

Answer: maybe 20

Step-by-step explanation:

or find it out yourself

3 0
2 years ago
Please help me as soon as possible
Vikentia [17]
The formula of the Lateral Area of a cylinder is:
Lateral Area = 2\pirh
                     =2\pi(12)(60)          (altitude is 5×radius)
                                                                           (5×12=60)
                     =4523.9 mm² ≈ 4524 m²

Answer is D. 4524 m²
8 0
3 years ago
which property is shown? 20×5×6=20×6×5 A commutative property B distibutivr C associative property or D none of these are correc
Contact [7]

A: communicative property, it is this because communicative property allows you to switch around the order.

5 0
3 years ago
What is one factor of 20x2 + 6x − 8
Furkat [3]
You can factor out a 2 from all. Idk if that helps but here ya go. 10x+3x-4
8 0
2 years ago
Read 2 more answers
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