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2 years ago

1/3x + 4 = 10 what is x

Mathematics

1 answer:

nydimaria [60]2 years ago

5 0

Answer:

X = -13/10

Step-by-step explanation:

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Find |x| when x = 15 and x = – 15.

777dan777 [17]

Answer:15

Step-by-step explanation:trust me

6 0

2 years ago

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The height of a tennis ball tossed into the air is modeled by h(x) = 40x â€" 16x 2, where x is elapsed time in seconds. During w

egoroff_w [7]

The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.

Given that,

The height of a tennis ball tossed into the air is modeled by,

$\rm h(x) = 40x - 16x^2$

Where x is elapsed time in seconds.

We have to determine,

During what time interval will the tennis ball be at least 15 feet above the ground?

According to the question,

The height of a tennis ball tossed into the air is modeled by,

$\rm h(x) = 40x - 16x^2$

Where x is elapsed time in seconds.

Then,

When the tennis ball be at least 15 feet above the ground,

$h(x) = 15$

Substitute the value of h(x) in the equation,

$\rm h(x) = 40x - 16x^2\\\\ 15 = 40x - 16x^2\\\\ 16x^2-40x+15=0$

Factorize the equation for finding the time interval will the tennis ball be at least 15 feet above the ground is,

$\rm 16x^2-40x+15= 0\\\\x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\x = \dfrac{-(-40)\pm \sqrt{(-40)^2-4 \times 16 \times 15}}{2 \times 16}\\\\x = \dfrac{-(-40)\pm \sqrt{1600- 960}}{32}\\\\x = \dfrac{40\pm \sqrt{640}}{32}\\\\x = \dfrac{40 + 25.29}{32} \\\\x = \dfrac{40 + 25.29}{32} \ and \ x = \dfrac{40 - 25.29}{32}\\\\x = \dfrac{65.29}{32} \ and \ x = \dfrac{14.71}{32}\\\\x = 2.04 \ and \ x = 0.45$

Hence, The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.

For more details about Inequality refer to the link given below.

brainly.com/question/17177510

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2 years ago

Which line or lines represent direct variation?

Ilya [14]

Perdenicular lines I think

8 0

2 years ago

What is the solution to this linear equation?<br> 4b + 6 = 2 - b + 4

katovenus [111]

b = 0

To solve make b the subject so:

4b + 6 = 2 - b + 4

5b + 6 = 6

5b = 0

5 = 0/5

= 0

6 0

2 years ago

Gill Rolls a number Cube 78 times how many times can he expect to roll a number greater than one

saul85 [17]

Argument
The only number he can't roll is the number one. There are 5 numbers that he can roll.

The probability of success therefore is 5/6.

Formula
Number of successful rolls = probability of success * total number of rolls.
Total number of rolls = 78
Probability = 5/6

Number of successful Rolls = 5/6 * 78
Number of successful Rolls = 390/6
Number of successful Rolls = 65

Answer
He should roll a number greater than one 65 times <<<<< answer

5 0

2 years ago