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Inga [223]
3 years ago
15

(-10/7) (8/3) is it positive or negative

Mathematics
1 answer:
Step2247 [10]3 years ago
7 0
The answer is negative

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The price of a pair of socks decreases from 15 dollars to 12 dollars what is the percent decrease
murzikaleks [220]

Answer:

20%

Step-by-step explanation:

12/15 = .8

subtract from 1

gives you .2

convert to a percentage

.2 = 20%

6 0
3 years ago
find two positive real numbers such that they sum to 108 and the product of the first times the square of the second is a maximu
topjm [15]

The two positive numbers are 36 and 72 which gives a sum equal to 108 and the product of 36 and the square of 72 is a maximum.

Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.

Let us consider the two positive real numbers as x and y. Then, their sum is written as,

x+y=108

Then, y=108-x

And the product is written as,

P=xy²

Substitute value of y in the above equation, we get,

\begin{aligned}P&=x(108-x)^2\\&=x(11664-216x+x^2)\\&=11664x-216x^2+x^3\\&=x^3-216x^2+11664x\end{aligned}

Now, differentiate P with respect to x, and we get,

\begin{aligned}\frac{dP}{dx}&=3x^2-432x+11664\\&=x^2-144x+3888\end{aligned}

Solving the above equation to zero, we get,

\begin{aligned}x^2-144x+3888&=0\\x^2-36x-108x+3888&=0\\x(x-36)-108(x-36)&=0\\(x-108)(x-36)&=0\\x&=\text{108 or 36}\end{aligned}

Substitute values of x in y=108-x, to get values of y.

If we substitute x=108, we get the y value as zero which doesn't give the required solution.

But, if we substitute x=36, we get,

\begin{aligned}y&=108-36\\y&=72\end{aligned}

Thus, the two positive numbers are 36 and 72.

To know more about positive numbers:

brainly.com/question/1635103

#SPJ4

4 0
1 year ago
Can someone please help me with 3
FrozenT [24]
U believe the answer is no, I believe this because eight 9 oz. bags is 72 oubces and both of them make less than that in 10 minutes. Machine A would make 42.5 oz in 10 minutes and Machine B would make 45 oz in 10 minutes.
3 0
3 years ago
Solve for x in the following equation.<br> X/5=25<br> X=?
worty [1.4K]

Answer:

125

Step-by-step explanation:

25 × 5 = 125

x/5 = 25 × 5 = 125

x = 125

4 0
3 years ago
Read 2 more answers
the function f(x)= sqrt x is translated left 5 units and up 3 units to create the function g(x). what is the domain of g(x)?
Zinaida [17]

Answer:

x ≥ -5

Step-by-step explanation:

If we have a translation to left c units, we write " x + c " in the function, and

If we have a translation to right c units, we write " x - c" in the function

If we have vertical translation up b units, we "add b to the function", and

If we have vertical translation down b units, we "subtract b to the function"

The parent function is  f(x)=\sqrt{x}

Since translation left 5 units and up 3 units, we can write:

f(x)=\sqrt{x+5} + 3

The domain is affected by the square root sign and we know the number under the square root CANNOT be negative, so we can say:

x + 5 ≥ 0

x ≥ -5

This is the domain.

3 0
3 years ago
Read 2 more answers
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