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Iteru [2.4K]
2 years ago
15

There are two integers that combine to -19 and their product is 70. Find the two integers, then the SMALLER integer is your answ

er for this question?
Mathematics
1 answer:
Hunter-Best [27]2 years ago
3 0

Answer:

-14

Step-by-step explanation:

a + b = -19

(a)(b) = 70

To solve this problem, isolate one variable in one of the two equations and then substitute it in.

So, a + b = -19

-> a = -19 - b

b(-19 - b) = 70

Distribute.

-19b - b^2 = 70

Move all to one side.

b^2 + 19b + 70 = 0

Factor. Find two numbers that multiply to 70, but add to 19.

(b + 5) (b + 14) = 0

Zero product rule.

b = -5, b = -14

Now, substitute the two answers for b back into the original equation for a.

a - 14 = -19

a = -5

a - 5 = -19

a = -14

So, the answers are b = -5, b = -14, a = -5, a = -14. Since you said that the smallest integer is the answer, the answer is -14.

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Which of these expressions shows unlike terms?
emmainna [20.7K]

Answer:

2x+2y

Step-by-step explanation:

x and y are unlike terms, and the only unlike terms in this list. you cannot add them together – therefore, 2x+2y is the answer you seek.

6 0
3 years ago
There is a bag filled with 5 blue, 6 red and 2 green marbles.
vodka [1.7K]

The probability of getting exactly 1 green will be 1/13.

<h3>What is probability?</h3>

The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,

Given data;

No of blue marbles= 5,

No of red marbles=6

No of green marbles=2

Total no of ball  = 5+6+2

Total no of ball  = 13

The probability of getting one green marble is;

P(G)=1/13

Hence, the probability of getting exactly 1 green will be 1/13.

To learn more about the probability, refer to the link;

brainly.com/question/11234923

#SPJ1

7 0
1 year ago
8. Mitchell bought 600 shares of Centerco two years ago $34.50 per share. He sold them yesterday for $38.64 per share.
g100num [7]

Answer:

a. percentage increase in price per share = 12%

b. The total purchase price for the 600 shares is $20,700

c.  The profit for the 600 shares is $2,484

d.  The profit for the 600 shares is $2,484

Step-by-step explanation:

a. Initial price per share    =  $34.50

Current price per share = $38.64

Change or increase in price =  $38.64 - $34.50 = $4.14

percentage increase in price per share = 12/34.50 x 100% = 12%

b. Total number of shares     =  600

    Price                                   =   $34.50

   The total purchase price for the 600 shares = ($34.5x600) = $20,700

c.  Total cost of 600 shares   =  ($34.5x600) = $20,700

     Total revenue from sales =  ($38.64x600) = $23,184

     Profit from the 600 shares = Total selling price - total cost price

                                                  = $23,184 - $20,700 = $2,484

d.  Total cost of 600 shares   =  ($34.5x600) = $20,700

     Total revenue from sales =  ($38.64x600) = $23,184

     Profit from the 600 shares = Total selling price - total cost price

                                                  = $23,184 - $20,700 = $2,484

7 0
2 years ago
Show that tangent is an odd function.Use the figure in your proof.
svlad2 [7]

We have to prove that the tangent is an odd function.

If the tangent is an odd function, the following condition should be satisfied:

\tan(t)=-\tan(-t)

From the figure we can see that the tangent can be expressed as:

We can start then from tan(t) and will try to arrive to -tan(-t):

\begin{gathered} \tan(t)=\frac{\sin(t)}{cos(t)}=\frac{y}{x} \\ \tan(t)=\frac{-(-y)}{x}=\frac{-\sin(-t)}{\cos(-t)} \\ \tan(t)=-\frac{\sin(-t)}{\cos(-t)} \\ \tan(t)=-\tan(-t) \end{gathered}

We have arrived to the condition for odd functions, so we have just proved that the tangent function is an odd function.

7 0
1 year ago
Can someone explain how to solve this and the solution? Please and thank you :)
Verizon [17]
25 > 2x + 8 - 66

first simplify all numbers

25 > 2x + (8  - 66)
25 > 2x - 58

Then add 58 to both sides

25 (+58) > 2x - 58 (+58)
83 > 2x

Finally divide 2 from both sides to isolate the x

83/2 > 2x/2

41.5 > x

hope this helps
3 0
2 years ago
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