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kirill115 [55]
2 years ago
12

What is the average rate of change from 7 minutes to 11 minutes

Mathematics
1 answer:
NeTakaya2 years ago
7 0

Answer:

what do you mean?

Step-by-step explanation:

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What are the solutions to the following system of equations?<br><br> x − y = 6<br> y = x2 −6
anastassius [24]

The solutions to the given system of equations is (0, -6) and (1, -5)  

<h3>Simultaneous equations</h3>

From the question, we are to determine the solutions to the given system of equations

The equations are

x − y = 6 --------- (1)

y = x² −6 ---------- (2)

From equation (1)

x - y = 6

∴ x = 6 + y ------- (3)

Substitute into equation (2)

y = x² −6

y = (6+y)² −6

y = (6+y)(6+y) -6

y = 36 + 6y + 6y +y² -6

y = 36 + 12y + y² - 6

Simplifying

y² + 12y - y + 30 = 0

y² + 11y + 30 = 0

Solve quadratically

y² + 11y + 30 = 0

y² + 6y + 5y + 30 = 0

y(y +6) +5 (y +6) = 0

(y + 5)(y + 6) = 0

y + 5 = 0 OR y + 6 = 0

y = -5 OR y = -6

Substitute the values of y into equation (3)

x = 6 + y

When y = -5

x = 6 + (-5)

x = 6 -5

x = 1

When y = -6

x = 6 + (-6)

x = 6 -6

x = 0

∴ When x = 0, y = -6 and when x = 1, y = -5

Hence, the solutions to the given system of equations is (0, -6) and (1, -5)  

Learn more on Solving simultaneous equations here: brainly.com/question/16863577

#SPJ!

7 0
2 years ago
3. Find BC<br><br> 6. find m&lt; A
sammy [17]

Answer:

Step-by-step explanation:

7 0
2 years ago
If you set aside $9000 at the end of each year for the next 22 years in a Roth IRA, how much will you have at your retirement 22
madam [21]

Answer:

$501,049.37

Step-by-step explanation:

For computing the amount after 22 years we need to applied the future value which is shown in the attachment below:

Given that

PMT = $9,000

NPER = 22 years  

Annual rate = 0.078

Quarterly= 0.078 ÷ 4 = 0.0195

Effective annual rate = (1.0195^4) - 1 = 0.0803113041

Now applied the formula which is given below

= -FV(RATE;NPER;PMT;PV)

After applying the above formula, the future value is $501,049.37

7 0
3 years ago
In the figure below, angle X is 35 degrees. What is the measure of angle Z?
ira [324]

Answer:

Z = 45 degrees

Step-by-step explanation:

the angle is still an acute angle but it is not a right angle so it must be 45 according to my calculations. plz mark brainliest

3 0
2 years ago
PLEASE ANSWER ASAP FOR BRAINLIEST!!! A triangle has side lengths of 17 cm and 8 cm. Which could be the value of the third side,
denis23 [38]

Answer:

23

Step-by-step explanation:

The sum of any two sides of a triangle has to be greater than the other side

Only 23 meets this criteria

7 0
3 years ago
Read 2 more answers
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