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pshichka [43]
3 years ago
9

Which expression is 8y - 5x + 13y equivalent to after being simplified?

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
7 0
You combine like terms like 8y+13y which gives you 21y and don't forget the -5x so your simplified equation would end up being A. 21 - 5x
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Consider the function below. Find f(5)
Alex73 [517]

Answer:

-3

Step-by-step explanation:

f(x)=-2x+7

f(5)=-2×5+7

=-10+7

=-3

8 0
3 years ago
Consider the logarithms base 5. For each logarithmic expression below, either calculate the value of the expression or explain w
Tom [10]

Answer:

log₅(3125) = 5

Step-by-step explanation:

Given:

log₅(3125)

Now,

using the property of log function that

logₐ(b) = \frac{\log(b)}{\log(a)}

thus,

Therefore, applying the above property, we get

⇒ \frac{\log(3125)}{\log(5)}   (here log = log base 10)

now,

3125 = 5⁵

thus,

⇒  \frac{\log(5^5)}{\log(5)}

Now,

we know from the properties of log function that

log(aᵇ) = b × log(a)

therefore applying the above property we get

⇒ \frac{5\log(5)}{\log(5)}

or

⇒ 5

Hence,

log₅(3125) = 5

8 0
3 years ago
Solve the following quadratic equations by completing the square.<br><br> y^2-14y+48=0
NISA [10]

Answer:

  y = 6 or 8

Step-by-step explanation:

1. Subtract the constant:

  y^2 -14y = -48

2. Add the square of half the y-coefficient:

  y^2 -14y +49 = -48 +49

Write as a square, if you like:

  (y -7)^2 = 1

3. Take the square root:

  y -7 = ±√1 = ±1

4. Add the opposite of the constant on the left:

  y = 7 ±1  =  6 or 8

The solution is y = 6 or y = 8.

5 0
3 years ago
A regression equation that predicts the price of homes in thousands of dollars is t = 24.6 + 0.055x1 - 3.6x2, where x2 is a dumm
AveGali [126]

Answer:

a) On average, homes that are on busy streets are worth $3600 less than homes that are not on busy streets.

Step-by-step explanation:

For the same home (x1 is the same), x2 = 1 if it is on a busy street and x2 = 0 if it is not on a busy street. If x2 = 1, the value of 't' decreases by 3.6 when compared to the value of 't' for x2=0. Since 't' is given in thousands of dollars, when a home is on a busy street, its value decreases by 3.6 thousand dollars.

t(x1, 0)= 24.6 + 0.055x1\\t(x1, 1) = 24.6 + 0.055x1 - 3.6\\t(x1, 1) = t(x1, 0) - 3.6

Therefore, the answer is a) On average, homes that are on busy streets are worth $3600 less than homes that are not on busy streets.

8 0
3 years ago
Solve the equation. Round the solution to the tenths place.<br> 6.35t = 56.515<br> t =
Westkost [7]

Answer:

t = 8.9

Step-by-step explanation:

6.35t = 56.515

56.515 / 6.35 = t

t = 8.9

5 0
4 years ago
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