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Anna11 [10]
2 years ago
7

|-5| |-9| is it greater, less than, or equal to <, >, = ??!?!

Mathematics
2 answers:
liraira [26]2 years ago
4 0

Answer:

5<9

Step-by-step explanation:

Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.

|-5|=5

|-9|=9

5<9

Katyanochek1 [597]2 years ago
3 0

Answer:

< (less than)

Step-by-step explanation:

since abs value changes it to positive it would be

5 and 9

5 < 9

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Mkey [24]

9514 1404 393

Answer:

  4mn/(3m+12)

Step-by-step explanation:

It is often helpful to factor expressions so that common factors can cancel.

  \dfrac{8n^2}{m^2-16}\times\dfrac{m^2-4m}{6n}=\dfrac{8mn^2(m-4)}{6n(m-4)(m+4)}=\dfrac{4mn}{3(m+4)}\\\\=\boxed{\dfrac{4mn}{3m+12}}

3 0
2 years ago
A line that includes the point (-9, 1) has a slope of 1. What is its equation in
SVETLANKA909090 [29]

Answer:

y=x+10

Step-by-step explanation:

1.) y-1=1(x+9)

2.) y-1=x+9

3.) y=x+10

8 0
3 years ago
The original cost of Sam’s investment is $10,000. After liquidating the investment, Sam calculated his real return to be $10,700
OverLord2011 [107]

Answer:

Return on investment (ROI) = 7%

Step-by-step explanation:

Given:

Amount invested = $10,000

Total amount get (refund) = $10,700

Find:

Return on investment (ROI) = ?

Computation:

Amount Return = Total amount get (refund) - Amount invested

Amount Return = $10,700 - $10,000

Amount Return = $700

Return\ on\ investment \ (ROI) = [\frac{Amount\ Return}{Amount\ invested} ]100\\\\Return\ on\ investment \ (ROI) = [\frac{700}{10,000} ]100 \\\\ Return\ on\ investment \ (ROI) =7

Return on investment (ROI) = 7%

3 0
2 years ago
Alejandra's Tapas Bar offers a menu consisting of $9$ savory and $5$ sweet dishes. You can also get a mix-and-match plate consis
Mariana [72]

Answer:

45

Step-by-step explanation:

Given that the number of savory dishes is 9 and the number of sweet dished is 5.

Denoting all the 9 savory dishes by p_1, p_2,...,p_9, and all the sweet dishes by q_1,q_2,...,q_5.

The possible different mix-and-match plates consisting of two savory dishes are as follows:

There are 9 plates with q_1 from sweet plates which are (q_1, p_1), (q_1, p_2), ..., (q_1,p_9).

There are 9 plates with q_2 from sweet plates which are  (q_2, p_1), (q_2, p_2), ..., (q_2,p_9).

Similarly, there are 9 plated for each q_3, q_4 and q_5.

Hence, the total number of the different mix-and-match plates consisting of two savory dishes

= 9+9+9+9+9= 9\times5=45

7 0
3 years ago
I need to find the derivative. I’m not very good at this so I am answer asap would be sosososo helpful
Bingel [31]

Answer:

See below.

Step-by-step explanation:

First, notice that this is a composition of functions. For instance, let's let f(x)=\sqrt{x} and g(x)=7x^2+4x+1. Then, the given equation is essentially f(g(x))=\sqrt{7x^2+4x+1}. Thus, we can use the chain rule.

Recall the chain rule: \frac{d}{dx}[f(g(x))]=f'(g(x))\cdot g'(x). So, let's find the derivative of each function:

f(x)=\sqrt{x}=x^\frac{1}{2}

We can use the Power Rule here:

f'(x)=(x^\frac{1}{2})'=\frac{1}{2}(x^{-\frac{1}{2}  })=\frac{1}{2\sqrt{x}}

Now:

g(x)=7x^2+4x+1

Again, use the Power Rule and Sum Rule

g'(x)=(7x^2+4x+1)'=(7x^2)'+(4x)'+(1)'=14x+4

Now, we can put them together:

y'=f'(g(x))\cdot g'(x)=\frac{1}{2\sqrt{g(x)}} \cdot (14x+4)

y'=\frac{14x+4}{2\sqrt{7x^2+4x+1} } =\frac{7x+2}{\sqrt{7x^2+4x+1} }

5 0
3 years ago
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