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san4es73 [151]
3 years ago
6

How to write 0.924 in two other forms

Mathematics
1 answer:
myrzilka [38]3 years ago
7 0
I can give you one form, maybe changing 0.924 into a fraction like this: 924/1000
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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
3 years ago
Really need help with 24 u have to use distributive property
Darya [45]

Answer:

x= 3.5

Step-by-step explanation:

5*2x= 10x

5*7= 35

10x/10= x

35/10= 3.5

3.5= x

8 0
3 years ago
Which table represents a linear function?
kykrilka [37]

Answer:

Option 3 (C)

Step-by-step explanation:

It is the only one that changes the same amount every time ( times 2 )

7 0
3 years ago
Enter the amplitude of the function f(x).<br><br> f(x)=−sin(3x)−1
77julia77 [94]
Enter the amplitude of the function f(x). f(x)=-2sin(3x)-1 ​. 2. See answers. Log in to add comment. Answer. Answer. 5.0/5. 5.0/5.
5 0
2 years ago
A baseball coach order hats for his team. Each hat cost $10. The shipping charger is $6. The total cost of the order must be les
NeTakaya
The answer should be:

10h + 6 < 125
3 0
3 years ago
Read 2 more answers
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