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yaroslaw [1]
4 years ago
6

The sum of three times a number and 2 less than 4 times that same number is 15. Which of the following equations could be used t

o find the value of the number n?
Mathematics
1 answer:
Ket [755]4 years ago
8 0

3n + (4n - 2) = 15

is how this equation would be displayed.

Now let's solve for x.

We can distribute a 1 to each term in the parentheses (which doesn't do much) to allow us to combine like terms.

3n + 4n - 2 = 15

Combine like terms.

7n - 2 = 15

Add 2 to both sides.

7n = 17

Divide both sides by 7.

n = 17/7


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nignag [31]

Answer:

a) t = \sqrt{\frac{d}{4.9} }

b) t = 0.3 seconds

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d) d = 11 cm.

Step-by-step explanation:

One test involves catching a 1 m ruler and measuring the distance, d in meters, that the ruler will travel before being caught, the reaction time t in seconds is then calculated using the formula

t = \sqrt{\frac{2d}{9.8} } .......... (1)

a) the simplified expression is

t = \sqrt{\frac{d}{4.9} } ......... (2)

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t = 0.299 seconds ≈ 0.3 seconds (Approximate)

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t^{2} = \frac{d}{4.9}

⇒ d = 4.9t² .......... (3)

d) Now, if t =  \frac{0.3}{2} = 0.15 seconds, then from equation (3) we get,

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3 years ago
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Answer:

Step-by-step explanation:

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2

y, equals, x, squared to the right by \greenD{h}hstart color #1fab54, h, end color #1fab54 units and up by \goldE{k}kstart color #a75a05, k, end color #a75a05 units is:

y=(x-\greenD{h})^2+\goldE{k}y=(x−h)

2

+ky, equals, left parenthesis, x, minus, start color #1fab54, h, end color #1fab54, right parenthesis, squared, plus, start color #a75a05, k, end color #a75a05

Note that negative values of \greenD{h}hstart color #1fab54, h, end color #1fab54 represent leftward shifts and negative values for \goldE{k}kstart color #a75a05, k, end color #a75a05 represent downward shifts.

Hint #22 / 3

g(x)=(x-\greenD{0})^2+\goldE{(-8)}g(x)=(x−0)

2

+(−8)g, left parenthesis, x, right parenthesis, equals, left parenthesis, x, minus, start color #1fab54, 0, end color #1fab54, right parenthesis, squared, plus, start color #a75a05, left parenthesis, minus, 8, right parenthesis, end color #a75a05

Since the function is translated up by \goldE{-8}−8start color #a75a05, minus, 8, end color #a75a05, that means it is translated down by 888 units.

Hint #33 / 3

To get the function g, shift f down by 8 units.

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