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alex41 [277]
3 years ago
8

Which of the equations below could be the equation of this parabola?

Mathematics
1 answer:
Vilka [71]3 years ago
7 0

Answer:

B

Step-by-step explanation:

  • Parabola that is opening upward has the form  y=ax^2
  • Parabola opening downward has the form  y=-ax^2
  • Parabola opening leftward has the form  x=-ay^2
  • Parabola opening rightward has the form  x=ay^2

Where a is a constant

Now, looking at the graph given, it takes the form  x=-ay^2

Where a is 3 (matching the answer).

Hence, B is the correct answer choice.

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Expand each expression In 4y5/x2
nordsb [41]

Answer:

\ln 4 -2 \ln x +5 \ln y

Step-by-step explanation:

\ln \dfrac{4y^5}{x^2}\\\\=\ln(4y^5) - \ln(x^2)~~~~~~~~~~~;\left[ \log_b\left( \dfrac mn \right)  = \log_b m - \llog_b n \right]\\\\=\ln 4 + \ln y^5 - 2\ln x~~~~~~~~~~~~;[\log_b m^n = n \log_b m ~\text{and}~\log_b(mn) = \log_b m + \log_b n ]\\\\=\ln 4 + 5 \ln y -2 \ln x\\\\=\ln 4 -2 \ln x +5 \ln y

3 0
2 years ago
Read 2 more answers
One number is 5 more than another number. their sum is −15 . what are the numbers?
Aliun [14]
X=5+y
x+y=-15

subsitute 5+y for x

5+y+y=-15
5+2y=-15
minus 5 from both sides
2y=-20
divide both sides by 2
y=-10

sub back
x=5+y
x=5-10
x=-5

the numbers are -10 and -5
6 0
3 years ago
Colin ties 5 groups of balloons to the fence. There are 3 orange balloons
maxonik [38]

Answer:

ok? what is the question?

4 0
3 years ago
Read 2 more answers
Question Help
Oxana [17]
X + y = 23000

x.08 + y.09 = 2040

x = 23000 - y

(23000 - y) .08 + y.09 = 2040

1840 - .08y + .09y = 2040

Simplify

.01y = 200

Simplify

Y = 20000

X + 20000 = 23000

X = 3000

CHECK: .08x + .09(20000) = 2040

.08x + 1800 = 2040

Simply .08x = 240

X = 3000
7 0
3 years ago
g A trial jury of 6 people is selected from 20 people: 8 women and 12 men. What is the probability that the jury will have an od
cricket20 [7]

Answer: P(odd) = 0.499

Step-by-step explanation:

Given:

Total number of people = 20

Number of men = 12

Number of women = 8

Number of jury to be selected = 6

For the jury to have an odd number of women. it must have either of the three.

1. 1 woman , 5 men

2. 3 women, 3 men

3. 5 women, 1 man

The total possible ways of selecting the 6 people jury is;

N = 20C6 = 20!/6!(20-6)!

N = 38760

The possible ways of selecting;

Case 1 : 1 woman, 5 men

N1 = 8C1 × 12C5

N1 = 8 × 792 = 6336

Case 2 : 3 women , 3 men

N2 = 8C3 × 12C3

N2 = 12320

Case 3 : 5 women, 1 man

N3 = 8C5 × 12C1

N3 = 672

P(Odd) = (N1+N2+N3)/N

P(odd) = (6336+12320+672)/38760

P(odd) = 19328/38760

P(odd) = 0.499

6 0
2 years ago
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