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umka2103 [35]
3 years ago
14

What is the solution to the inequality below? x2 < 36

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
6 0
B. x - 6 or x 6
because x = 6
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If f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction, what is the value of (StartFraction f Over g EndFraction) (5)
Degger [83]

Answer:

\frac{f}{g}(5) = 270 ⇒ Last answer

Step-by-step explanation:

* If f(x) = 7 + 4x

* If g(x) = \frac{1}{2x}

* We want to find \frac{f}{g}(5)

- Lets find at first \frac{f}{g}(x)

∵ f(x) = 7 + 4x

∵ g(x) = \frac{1}{2x}

∴ \frac{f}{g}(x)=\frac{7+4x}{\frac{1}{2x}}

- Lets divide the numerator by the denominator

∵ The numerator is 7 + 4x

∵ The denominator is \frac{1}{2x}

∴ (7 + 4x) ÷ \frac{1}{2x}

- Lets reverse the division sign to multiplication sign and reciprocal

  the fraction after the division sign

∴ (7 + 4x) × \frac{2x}{1}

∴ \frac{f}{g}(x) = 2x(7 + 4x)

∴ \frac{f}{g}(x) = 14x + 8x²

- Now substitute x by 5

∴  \frac{f}{g}(5) = 14(5) + 8(5)² = 70 + 200 = 270

∴  \frac{f}{g}(5) = 270

4 0
3 years ago
Read 2 more answers
Every 100 tons of the earth's crust contain about 28 tons of silicon. What is the ratio of the weight of silicon to the weight o
d1i1m1o1n [39]
<h3>Answer:</h3>
  1. 28/100 = 7/25
  2. 100/28 = 25/7
<h3>Explanation:</h3>

The wording "the ratio of A to B" means A/B.

Here, "the ratio of the weight of silicon to the weight of crust" means ...

... (28 tons)/(100 tons)

Canceling common factors (and common units), this is ...

... 28/100 = 7/25

___

Then "the ratio of the weight of crust to the weight of silicon" means ...

... (100 tons)/(28 tons) = 100/28 = 25/7

4 0
4 years ago
6.) Alan, Becky, Jesus, and Mariah are four students in the chess club. If two of these students will be selected to represent t
Artist 52 [7]

Let's begin by listing out the information given to us:

There are four students: n = 4

Number of students to be selected: r = 2

To calculate the combination of 2 students to be chosen, we use:

\begin{gathered} ^4C_2=\frac{n!}{(n-r)!}=\frac{4!}{(4-2)!}=\frac{4!}{2!} \\ ^4C_2=\frac{4\cdot3\cdot2\cdot1}{2\cdot1}=\frac{4\cdot3}{1}=12 \\ ^4C_2=12 \end{gathered}

Therefore, there 12 possible combinations from these

3 0
2 years ago
Find the solution of the equation -3x^2+6x-11
disa [49]

Answer:

− 1 ( 3 2 − 6 + 1 1 )

Step-by-step explanation:

7 0
3 years ago
A package of 5 pairs of socks costs $35.95. What is the unit price of the pairs of socks?
Juliette [100K]

Answer:

7.19 a pair

Step-by-step explanation:

To find unit price divide the total by the amount

for ex

5 pairs cost 35.95 so 35.95 is the price of 5 pairs. To find out the price of 1 pair divide the price by the items or the 5 pairs of socks. 35.95 / 5 is 7.19

im sorry for my lack of knowing how to explain :(

7 0
3 years ago
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