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Y_Kistochka [10]
3 years ago
6

Solve −3(7n+3)<6n. Write the solution using set-builder notation.

Mathematics
1 answer:
Darya [45]3 years ago
6 0
-1/3 is less than n.

you distribute and solve for n.
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The function f(x) varies directly with x, and f(x) = 45 when x = 9.
Paladinen [302]

Answer:

Option C = 15

Step-by-step explanation:

In principle when a function <em>f(x) </em>varies directly with <em>x</em> it suggests that any changes in x results in the equivalent changes in<em> f(x)</em>. If we have two variables, i.e. <em>y</em> representing<em> f(x)</em> and <em>x</em> representing itself, any increment/decrement in <em>x</em> will result to the same increment/decrement in <em>y</em> by a factor <em>a, thus we can say that y = ax, implying y and x have the same ratio. </em>

In the given question we know that <em>f(x) = 45</em> when x=9<em>, </em>which translates as

f(x=9) = 45

This tells us that f(x) varies by a factor (lets call it) a for a given value of x.

To find this factor we can just divide 45 with 9 which gives: \frac{45}{9} = 5

Thus the factor a here is a=5 which finally tells us that

f(x) = 5x    Eqn (1) our original function.

Since we now know our function we can plug in the value for x=3 and solve for f(x=3) as follow:

f(x=3)= 5*3

f(x=3) = 15

f(3) = 15

Looking at the given options in the question we can conclude that the correct answer is Option C = 15

3 0
3 years ago
Calculate the value of 1/3 a = -5
sladkih [1.3K]

Answer:

- 15

Step-by-step explanation:

\frac{1}{3} a =  - 5 \\  \\ a =  - 5 \times 3 \\  \\ a =  - 15

6 0
2 years ago
Read 2 more answers
Roll a number cube. If the number cube comes up odd, you win the same number of points as the number on the cube. If the number
laila [671]

Answer:

–0.5

Step-by-step explanation:

Expected value is found by multiplying the probabilities of each roll by the amount won or lost with each roll.

The odd rolls are 1, 3 and 5.  The probability of rolling a 1 is 1/6, and the value is 1; this gives us 1/6(1) = 1/6.

The probability of rolling a 3 is 1/6, and the value is 3; this gives us 1/6(3) = 3/6.

The probability of rolling a 5 is 1/6, and the value is 5; this gives us 1/6(5) = 5/6.

Rolling any even number gives us the same value.  The probability of rolling an odd number is 3/6, and the value is -4; this gives us 3/6(-4) = -12/6.

Together we have

1/6+3/6+5/6-12/6 = 4/6+5/6-12/6 = 9/6-12/6 = -3/6 = -0.5

5 0
3 years ago
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The Mongolian Giant Sunflower produces seeds that are over 1 inch long, grow up to 18 feet tall, and flowers that are 1 ½ feet w
m_a_m_a [10]

Answer:

A sexually using seeds

Step-by-step explanation:

hope this helps :)

4 0
2 years ago
Which of the following is a solution of x2 - 7x = -5?
svetlana [45]
I hope this helps you

6 0
3 years ago
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