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3 years ago

How do you solve and graph this inequality

Mathematics

1 answer:

frozen [14]3 years ago

8 0

Step 1: Cross multiply making it
5 (2t+1) > 9(t) 
t(2t+1) (t) 2t+1

Step 2: Now that the denominators are the same, we can make simplify it by dividing it by 't (2t+1)'
5(2t+1) > 9(t)

Step 3: Remove parenthesis
10t+5 > 9t

Step 4: Isolate t
10t>9t-5
t > -5 (FINAL ANSWER)

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If x^2 + xy = 20 and dx/dt = -4 when x = -5 and y = 1, what is dy/dt

SpyIntel [72]

Answer:

3.2

Step-by-step explanation:

x² + xy = 20

Take the derivative with respect to time:

2x dx/dt + x dy/dt + y dx/dt = 20

(2x + y) dx/dt + x dy/dt = 20

Given x = -5, y = 1, and dx/dt = -4:

(2(-5) + 1) (-4) + (-5) dy/dt = 20

(-10 + 1) (-4) − 5 dy/dt = 20

36 − 5 dy/dt = 20

5 dy/dt = 16

dy/dt = 3.2

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3 years ago

Three coins are tossed onto a table and the numbers of heads is recorded. The number of possible outcomes for this event is

Ivenika [448]

1 coin has 2 sides. Multiply 2 × 3 to get the total number of outcomes.
2 × 3 = 6
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Remember, they are looking for the number of heads, not both.

4 0

3 years ago

Read 2 more answers

The sum of two numbers is equal to 11 and the difference is 19. What are the two numbers?

charle [14.2K]

$\bold{\huge{\pink{\underline{ Solution }}}}$

We have given in the question that, 

The sum of 2 numbers is equal to 11
The difference between two numbers is 19 .

$\bold{\underline{ To \: Find }}$

We have to find the value of x and y.

$\bold{\underline{ Let's \: Begin }}$

Let the two numbers be x and y

According to the question, 

$\sf{ x + y = 11......eq(1) }$

$\sf{ x - y = 19......eq(2) }$

Solving eq( 1 ) we get :- 

$\sf{ x + y = 11 }$

$\sf{ x = 11 - y ......eq(3 ) }$

Subsituting eq(3 ) in eq(2) :-

$\sf{ x - y = 19 }$

$\sf{ ( 11 - y) - y = 19 }$

$\sf{ 11 - y - y = 19 }$

$\sf{ 11 - 2y = 19 }$

$\sf{ - 2y = 19 - 11 }$

$\sf{ - 2y = 8}$

$\sf{ y = 8/(-2) }$

$\sf{ y = - 4 }$

$\sf{\red{Thus ,\: the\: value\: of \: y = -4}}$

Now, Subsitute the value of y in eq( 3 ) :-

$\sf{ x = 11 - y }$

$\sf{ x = 11 - (-4 ) }$

$\sf{ x = 11 + 4 }$

$\sf{ x = 15 }$

Hence, The value of x and y are 15 and (-4) .

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2 years ago

Write the solution using interval notation: -8 < 2x - 4 < 10

saul85 [17]

Answer:(-2,7)

Step-by-step explanation:

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