Simplify 5t + (t - 3) - [(7t + 5) - (8 - 3t)].

-4t
4t
-10t
10t

Answers

Answer 1

Answer:

The simplification of the expression 5t + (t - 3) - [(7t + 5) - (8 - 3t)] using PEMDAS rule is -4t.

Thus, option 1 is correct.

A method of reducing an expression, equation, or problem to a more concise or straightforward form is referred to as simplification.

Initially the small bracket then curly brackets and at last large brackets are required to solve according to the laws of simplification using PEMDAS rules.

The given expression can be simplified as:

5t + (t - 3) - [(7t + 5) - (8 - 3t)]

5t+t-3-[7t+5-8+3t]

5t+t -3-7t-5+8-3t

-4t

The simplification of the expression 5t + (t - 3) - [(7t + 5) - (8 - 3t)] is -4t.

Thus, option 1 is correct.

Learn more about expression here:

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Answer 2

Answer: 5t + (t - 3) - [(7t + 5) - (8 - 3t)]
=5t + (t - 3) - [(7t + 5) - (-3t + 8)]
=5t + (t - 3) - [7t + 5 + 3t - 8]
=5t + (t - 3) - [7t + 3t + 5 - 8]
=5t + (t - 3) - [10t - 3]
=5t + t - 3 - 10t + 3
=5t + t - 10t - 3 + 3
=-4t

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A hot air balloon is flying above Groveburg. To the left side of the balloon, the balloonist measure the angle of depression to the Groveburg soccer fields to be 20° 15'. To the right side of the balloon, the balloonist measures the angle of depression to the high school football field to be 62° 30'. Find the distance from the balloon to the soccer fields

Answers

Answer:

Solution : 3.6 miles

Step-by-step explanation:

The first step in solving this problem is to convert 15' to degrees --- (1) . 15' is represented as 15 minutes, so to convert to degrees we have 15 / 60 = 0.25°. Adding 20 + 15' we should get 20 + 0.25 = 20.25 (degrees).

Now remember that on the right side we have the football field, 62° 30'. Let's convert that 30' into degrees --- (2). 30 / 60 = 0.5, and 62 + 0.5 = 62.5.

Using both this information we can calculate the angle from the balloon to the horizontal. That would be 180 - 20.25 - 62.5 = 97.25°. Therefore the distance from the balloon to the soccer fields would be as follows,

distance / sin(62.5) = 4 / sin(97.25)

Let distance = x ...

x / sin(62.5) = 4 / sin(97.25),

x / 0.88701083317 = 4 / 0.99200494968,

x * 0.99200494968 = 4 * 0.88701083317,

x * 0.99200494968 = 3.548,

x = ( About ) 3.5766 miles

Given the options the distance from the balloon to the soccer fields would be 3.6 miles.

3(2x–7)=5–(1–x) plzz help ASAP

Answers

3(2x–7)=5–(1–x)

6x-21 = 5 - 1 + x

subtract x from both sides

5x - 21 = 5-1

combine like terms

5x - 21 = 4

add 21 to both sides

5x = 25

divide both sides by 5

x = 5

Simplify:
(2x - 3)(3x + 4)

Answers

(2x - 3) (3x + 4) = 6x² + 8x - 9x - 12 = 6x² - x - 12

6 people meet for a business lunch. Each person shakes hands once with each other person present. How many handshakes take place?

Answers

$First\ person-5\ shakes\ hands\nSecond\ person-4\ shakes\ hands\n3-th\ person-3\ shakes\ hands\n4-th\ person-2\ shakes\ hands\n5-th\ person-1\ shakes\ hands\n\n1+2+3+4+5=15\ \ shakes\ hands$

$1+2+3+4+5=15$
There will be 15 handshakes :)

PLEASE HELP ASAP I HAVE A TEST IN 2 MINUTES!!!!!!The graph below models the value of a $20,000 car t years after it was purchased.

Which statement best describes why the value of the car is a function of the number of years since it was purchased?

A. Each car value, y, is associated with exactly one time, t.
B. Each time, t, is associated with exactly one car value, y.
C. The rate at which the car decreases in value is not constant.
D. There is no time, t, at which the value of the car is 0.

Answers

B. Each time, t, is associated with exactly one car value, y.

Answer:

Step-by-step explanation:

I got it right on the test

Does the rule y=-3x^5 represent an exponential function?

Answers

Hello,

y=-3*(x^5) is not an exponential equation but a polynomial equation.

Final answer:

The equation y=-3x^5 is not an exponential function. It is actually a polynomial function, specifically a quintic function. In an exponential function, the variable is in the exponent, which is not the case in this function.

Explanation:

The function you proposed, y=-3x^5, does not represent an exponential function. The primary characteristic of an exponential function is that the variable, in this case 'x', is in the exponent e.g. y = b^x where b is a positive constant.

In your equation, the variable 'x' is the base of the power, not the exponent. Thus, y=-3x^5 is a polynomial function, specifically it's a quintic function because the largest exponent is 5.

The output of an exponential function grows or decays proportionally, whereas for a quintic function, the growth rate will not necessarily be proportional.