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8090 [49]
3 years ago
11

What is equation is equivalent to 6(3p-2)=20?

Mathematics
2 answers:
svlad2 [7]3 years ago
8 0

Answer:

p =  \frac{16}{9}  \\

Step-by-step explanation:

6(3p - 2) = 20 \\ 18p - 12 = 20 \\ 18p = 32 \\  \frac{18p}{18}  =  \frac{32}{18}  \\ p =  \frac{16}{9}

Simora [160]3 years ago
4 0

Answer:

p=\frac{16}{9}

Step-by-step explanation:

6(3p-2)=20

Distribute the brackets.

6(3p)+6(-2)=20

18p-12=20

Add 12 on both sides.

18p-12+12=20+12

18p=20+12

18p=32

Divide 18 on both sides.

\frac{18p}{18}=\frac{32}{18}

p=\frac{16}{9}

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The difference between the set of non-negative real numbers and the set of positive real numbers is:
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Answer:

C; A singleton set

Step-by-step explanation:

Mathematically, when a number is non-negative; it is either positive or zero

Now, this is because 0 identifies as neither a positive or a negative number

hence, when we find the difference between the two sets, the only number that stands out unmatched is the value 0

What this mean is that we are having a set with a single number result

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3 years ago
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7 0
2 years ago
(04.04 MC)
sp2606 [1]

Answer:

y = x^2/ 60 + 15

=>( x - h)^2 = 4a[ (x^2/6 + 15) - k ].

Step-by-step explanation:

Okay, in order to solve this question very well, one thing we must keep at the back of our mind is that the representation for the equation of a parabola is given as ; y = ax^2 + bx + c.

That is to say; y = ax^2 + bx + c is the equation for a parabola. So, we should be expecting our answer to be in this form.

So, from the question above we are given that "the satellite dish will be in the shape of a parabola and will be positioned above the ground such that its focus is 30 ft above the ground"

We will make an assumption that the point on the ground is (0,0) and the focus is (0,30). Thus, the vertex (h,k) = (0,15).

The equation that best describes the equation of the satellite is given as;

(x - h)^2 = 4a( y - k). ------------------------(1).

[Note that if (h,k) = (0,15), then, a = 15].

Hence, (x - 0)^2 = (4 × 15) (y - 15).

x^2 = 60(y - 15).

x^2 = 60y - 900.

60y = x^2 + 900.

y = x^2/ 60 + 15.

Hence, we will have;

(x - h)^2 = 4a[ (x^2/6 + 15) - k ].

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