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Afina-wow [57]
4 years ago
14

What is this problem in standard form? y-5=3/2(x+6)

Mathematics
1 answer:
givi [52]4 years ago
4 0

Answer:

\displaystyle \boxed{3x - 2y = -28}

Step-by-step explanation:

y - 5 = 3⁄2(x + 6)

y - 5 = 3⁄2x + 9

+ 5 + 5

__________

y = 3⁄2x + 14

- 3⁄2x - 3⁄2x

________

−3⁄2x + y = 14 [We do not want mixed numbers\fractions in our standard equation, so multiply by the denominator to get rid of it.]

−2[−3⁄2x + y = 14]

\displaystyle 3x - 2y = -28

I am joyous to assist you anytime.

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The scale factor is 1/2

7 0
3 years ago
What is the equation for the nth term of the geometric sequence -2,10,-50
Monica [59]

Answer:

x₍ₙ₎ = x₍₁₎ * (-5)ⁿ⁻¹

Step-by-step explanation:

x₍ₙ₎ = x₍₁₎ * (-5)ⁿ⁻¹

x₍₁₎ = -2

x₍₂₎ = (-2) x (-5)²⁻¹ = (-2) x (-5) = 10

x₍₃₎ = (-2) x (-5)³⁻¹ = (-2) x (-5)² = -50

3 0
3 years ago
Clarisa's annual gross pay as an account manager is $54,000. If the graduated state tax rate is 1% for the first $5,000 and 3% f
Hoochie [10]

Answer:

Total taxes = $1,520

Step-by-step explanation:

We have two separate calculations for the taxes:

The tax rate for the first $5,000 of Clarisa's gross pay is 1%, so the amount of tax paid in this case is

1% * 5000 = $50

The tax rate for the amount of value over $5,000 (that is, 54,000 - 5,000 = 49,000) is 3%, so the amount of tax is:

3% * 49,000 = $1,470

So, the total amount deducted for state taxes is:

Total taxes = 50 + 1470 = $1,520

4 0
4 years ago
Aron flips a penny 9 times. Which expression represents the probability of getting exactly 3 heads? P (k successes) = Subscript
Nimfa-mama [501]

The expression represents the probability of getting exactly 3 heads is \rm= ^9C_3 \times (0.5)^3\times (0.5)^{6}.

<h2>Given</h2>

Aron flips a penny 9 times.

We have to determine

Which expression represents the probability of getting exactly 3 heads?

<h3>What is binomial distribution?</h3>

The binomial distribution is determined as the probability of mass or discrete random variable which yields exactly some values.

The binomial probability formula shown has variables which represent:

\rm= ^nCr \times p^r\times (1-p)^{n-r}

Where n is the total number of trials (here, we flip penny 9 times, hence n = 9).

r is the number we want to find (here, we want the probability of 3 heads, so r = 3).

p is the probability of success (here, success means getting heads.

So, in a coin flip the probability of heads is always 1/2, so p = 1/2).

Therefore,

The expression represents the probability of getting exactly 3 heads is;

\rm= ^nCr \times p^r\times (1-p)^{n-r}\\\\\rm= ^9C3 \times (0.5)^3\times (1-0.5)^{9-3}\\\\= ^9C3 \times (0.5)^3\times (0.5)^{6}

Hence, the expression represents the probability of getting exactly 3 heads is \rm= ^9C_3 \times (0.5)^3\times (0.5)^{6}.

To know more about Binomial Distribution click the link given below.

brainly.com/question/7236644

4 0
3 years ago
What is the surface area of the triangular prism <br><br>can someone please please help me
sveta [45]
To solve this problem, we need to know the formula of the surface area of a triangular prism. The formula is: A = 2A_{B} + (a+b+c) * h

Now we can substitute values and solve

A = 2(0.5 * 4 * 3) + (3+4+5) * 20

A = 12 + 240

A = 252

That means that the answer to this question is 252 square feet. 
5 0
3 years ago
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