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natka813 [3]
3 years ago
11

In a recent poll of 620 registered voters, 545 favored candidate Hargrove. Based on the results of the poll, which proportion co

uld be used to determine how many of an anticipated 15,000 votes Hargrove is likely to get?
A)
545
620
=
x
15,000
B)
620
545
=
x
15,000
C)
545
620
=
15,000
x
D)
x
620
=
545
15,000
Mathematics
1 answer:
vladimir2022 [97]3 years ago
7 0
545 / 620 = x / 15000
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EleoNora [17]

Answer:

-6x + 17

Step-by-step explanation:

-(6x - 17)

= -6x + 17

=》Negative × negative = positive

=》 Positive × negative = negative

Hope it helps ⚜

6 0
3 years ago
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A circle has the equation 2x²+12x+2y²−16y−150=0.
KonstantinChe [14]

Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.

Step-by-step explanation:

The equation of a circle in the center-radius form is:

(x-h)^{2} +(y-k)^{2}=r^{2} (1)

Where (h,k) are the coordinates of the center and r is the radius.

Now, we are given the equation of this circle as follows:

2x^{2}+12x+2y^{2}-16y-150=0 (2)

And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:

2(x^{2}+6x+y^{2}-8y-75)=0 (3)

Rearranging the equation:

x^{2}+6x+y^{2}-8y=75 (4)

(x^{2}+6x)+(y^{2}-8y)=75 (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of (a\pm b)^{2}=a^{2}\pm+2ab+b^{2}:

<u>For the first parenthesis:</u>

x^{2}+6x+b^{2}

We can rewrite this as:

x^{2}+2(3)x+b^{2}

Hence in this case b=3 and b^{2}=9:

x^{2}+2(3)x+3^{2}=x^{2}+6x+9=(x+3)^{2}

<u>For the second parenthesis:</u>

y^{2}-8y+b^{2}

We can rewrite this as:

y^{2}-2(4)y+b^{2}

Hence in this case b=-3 and b^{2}=9:

y^{2}-2(4)y+4^{2}=y^{2}-8y+16=(y-4)^{2}

Then, equation (5) is rewritten as follows:

(x^{2}+6x+9)+(y^{2}-8y+16)=75+9+16 (6)

<u>Note we are adding 9 and 16 in both sides of the equation in order to keep the equality.</u>

Rearranging:

(x-3)^{2}+(y-4)^{2}=100 (7)

At this point we have the circle equation in the center radius form (x-h)^{2} +(y-k)^{2}=r^{2}

Hence:

h=-3

k=4

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8 0
3 years ago
A used car lot sold 12 minivans last month, along with 54 other vehicles. Considering this data, how many of the next 77 vehicle
gayaneshka [121]
Total cars 12+54 = 66
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5 0
2 years ago
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Vikki [24]

Answer:

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P(x)

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The linear equation

P(x) = 35,900 + 2,800(x-1)

Where

x = number of years

3 0
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Answer:

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Step-by-step explanation:

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4 years ago
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