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elixir [45]
3 years ago
12

When a decimal is written in word form, what indicates that the equivalent form is a mixed number and not a fraction

Mathematics
1 answer:
nignag [31]3 years ago
7 0
If there is a number before the decimal point. So one point five six (1.56) would be have a mixed number of one before the normal fractions ; 1 56/100
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Y=x^2-6x+3 help write the vertex form of the equation
Artist 52 [7]

Answer:

y=(x-3)^2-6

Step-by-step explanation:

y=x^2-6x+3

This is written in the standard form of a quadratic function:

y=ax^2+bx+c

where:

  • ax² → quadratic term
  • bx → linear term
  • c → constant

You need to convert this to vertex form:

y=a(x-h)^2+k

where:

  • (h,k) → vertex

To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:

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

Using your original equation, identify the a, b, and c terms:

a=1\\\\b=-6\\\\c=3

Insert the known values into the equation:

x=-\frac{(-6)}{2(1)}

Simplify. Two negatives make a positive:

x=\frac{6}{2} =3

X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:

y=3^2-6(3)+3

Simplify using PEMDAS:

y=9-18+3\\\\y=-9+3\\\\y=-6

The value of y is -6 (3,-6). Insert these values into the vertex form:

(3_{h},-6_{k})\\\\y=a(x-3)^2+(-6)

Insert the value of a and simplify:

y=(x-3)^2-6

:Done

6 0
3 years ago
Can someone please help me I really need help please help me please help me thank you
alekssr [168]

Answer:  None. The question asks about $4 per hour.

Step-by-step explanation:   The cost changes by $4 every 2 hours.

That is $2 per hour.

6 0
3 years ago
At higher elevations water boils at lower temperatures. The temperature at which water boils is called the boiling point of wate
Irina-Kira [14]

Answer:

  The boiling point of water is between 84 °C and 88 °C when the elevation is between 3.4 and 4.6 km.

Step-by-step explanation:

You want x such that ...

  84 ≤ B(x) ≤ 88

  84 ≤ 100 -3.5x ≤ 88 . . . . substitute for B(x)

  -16 ≤ -3.5x ≤ -12 . . . . . . . .subtract 100

  4.6 ≥ x ≥ 3.4 . . . . . . . . . . .divide by -3.5; this reverses the inequality

4 0
3 years ago
A jeweler wants to minimize business costs and has found that the average cost in dollars per necklace is given by C(x)=0.5x^2-7
Vika [28.1K]

Answer:

The maximum cost is 41 dollars per necklace.

Step-by-step explanation:

The average cost in dollars/necklace is given by :

C(x)=0.5x^2-7x+65.5  .....(1)

Where

x is the number of necklaces that are created

To maximize the cost, find the value of x by putting dC/dx = 0

\dfrac{d}{dx}(0.5x^2-7x+65.5)=0\\\\x-7=0\\\\x=7

Now put the value of x = 7 in equation (1).

C(x)=0.5(7)^2-7(7)+65.5\\\\=41\ \text{dollars per necklace}

Hence, the maximum cost is 41 dollars per necklace.

8 0
3 years ago
Suppose that the equation V = 5x2 60x + 8000 represents the value of
umka21 [38]
Sorry I can’t buddy........................................................:(
8 0
3 years ago
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