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2 years ago

Which of the following is the solution to the inequality below ? -6/5(4-x)<_-4(X+1/2)

Mathematics

1 answer:

LuckyWell [14K]2 years ago

7 0

Answer:

The answer is the option D

$x\leq 7/13$

Step-by-step explanation:

we have

$-\frac{6}{5}(4-x)\leq -4(x+\frac{1}{2})$

Multiply by $-5$ both sides

$6(4-x)\geq 20(x+0.5)\\24-6x\geq20x+10\\24-10\geq 20x+6x\\14\geq 26x$

Rewrite

$26x\leq 14\\x\leq 14/26\\ x\leq 7/13$

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Find greatest 3 digit number divisible by 8,10,12

schepotkina [342]

The greatest 3 digit number divisible by the 8, the 10, and the 12 is 960. The simplest way of finding the number is to multiply all the divisible factor which is the 8, the 10, and the 12 that results in 960 (8*10*12). If this multiply operation results in more than 3 digit number, therefore we must analyze the factor of the result and eliminate it.

5 0

3 years ago

1.Suppose f(x)=6x^2+2x-7 and g(x)=4x-3.Find the value of f(5)/g(-3)

posledela

Answer:

-10.2

Step-by-step explanation:

f{5} = 6(5^2) + 2(5) - 7

g{-3}= 4(-3)-3

= 6(25) + 10 - 7

-12 - 3

= 150 + 10 - 7

- 15

= 153

-15

= -51

= -10.2

7 0

3 years ago

Can anyone help ?

Flauer [41]

Answer:

a) 1 / 12

b) 1 / 4

Step-by-step explanation:

The events are independent since they do not affect each other. The total probability of two independent events is the product of the probabilities of the two events.

a) When rolling a die, there are 6 outcomes, the numbers 1 - 6. There is only 1 outcome where you can get a 2. Therefore, the probability of rolling a two is 1/6.

When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with heads. The probability of getting head would be 1 / 2.

To find the the total, you multiply the probabilities of the two events: 1 / 6 * 1 / 2 = 1 / 12

b) As stated before, when rolling a die, there are 6 outcomes, the numbers 1 - 6. There are 3 outcomes where she can roll an even number: the numbers 2, 4, or 6. So, the probability of rolling an even number is 3 / 6 or 1 / 2.

When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with tails. The probability of getting tails would be 1 / 2.

Now, you multiply the two probabilities to get the total probability: 1 / 2 * 1 / 2 = 1 / 4

5 0

3 years ago

Help give thanks stars

Lilit [14]

0.5a - 1.9b = -1.4 b

3 0

3 years ago

what is the slope of the line that passes through the points (7,-6) and (4,-6)? write your answer in simplest form

Andrews [41]

Answer:

m = 0, y = -6

Step-by-step explanation:

using point slope form :

$y - y_{1} = m(x - x_{1})$

y-y1=m(x-x1) ; initial point (x1,y1) = (4,-6), final point (x,y) = (7,-6).

one substituted, it should look like this:

-6--6 = m(7-4),

-6+6= m(7-4)

0 = m(7-4)

0 = 3m

0/3 = 3/3m

0 = m

m = 0/3 = 0

4 0

2 years ago