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2 years ago

A^2−8ab+16b^2=81, find a–4b

Mathematics

1 answer:

neonofarm [45]2 years ago

4 0

Answer:

-9, 9

Step-by-step explanation:

a² − 8ab + 16b² = 81

(a - 4b)² = 81 Wrote the left-hand side as a square

a - 4b = ±9 Took the square root of each side

All values of a - 4b are -9 and +9.

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2.The number of tickets sold to a play for each showing is 78, 84, 87, 80, 91, 95, and 80.

Luden [163]

Answer:

$Min =78$

The maximum is :

$Max = 95$

Now we can calculate the median since the sample size os n =7 the median would be the middle value at the position 4 from the dataset ordered and we got:

$Median =84$

Now we can find the quartile 1 we analyze the first 4 values 78, 80,80, 84 and the first quartile would be:

$Q_1= \frac{80+80}{2}= 80$

Now we can find the quartile 3 we analyze the last 4 values 84,87, 91, 95 and the third quartile would be:

$Q_3= \frac{87+91}{2}=89$

And finally the 5 number summary would be:

$Min = 78, Q_1 = 80, Median=84, Q_3 = 89, Max=96$

Step-by-step explanation:

We have the following data given:

78, 84, 87, 80, 91, 95, and 80.

The first step is order the dataset on increasing way and we got:

78, 80,80, 84,87, 91, 95

We can begin finding the minimum value and for this case is:

$Min =78$

The maximum is :

$Max = 95$

Now we can calculate the median since the sample size os n =7 the median would be the middle value at the position 4 from the dataset ordered and we got:

$Median =84$

Now we can find the quartile 1 we analyze the first 4 values 78, 80,80, 84 and the first quartile would be:

$Q_1= \frac{80+80}{2}= 80$

Now we can find the quartile 3 we analyze the last 4 values 84,87, 91, 95 and the third quartile would be:

$Q_3= \frac{87+91}{2}=89$

And finally the 5 number summary would be:

$Min = 78, Q_1 = 80, Median=84, Q_3 = 89, Max=96$

5 0

3 years ago

Solve the systems of equations y=2x and y=-x - 6

slava [35]

Answer:

y = -4

x = -2

Step-by-step explanation:

Hi there...

y = 2x

y = -x - 6

Since why is equal to 2x, we can plug it in for y in the second equation. Here's what I mean...

2x = -x - 6

add x on both sides...

3x = -6

divide by 3 on both sides...

x = -2

Now, plug in x for y. Here's what I mean...

y = 2x

y = 2 (-2)

y = -4

Hope this helps :)

7 0

2 years ago

In the equation x=−3y, what is the unit rate?

Paul [167]

The unit rate is -1/3.

In direct variation, y varies directly to x by a constant ratio k.

Its equation looks like this: y = kx ; where k stands for the constant ratio.

In the above equation. x = -3y, it should be converted to the proper equation. both sides must be transferred and its accompanying sign must be changed.

3y = -x
3y/3 = -x/3
y = (-1/3)x
where: y is the total value; -1/3 is the unit rate; and x is the number of units

6 0

3 years ago

Please help explain good luck

Tcecarenko [31]

Answer:

Step-by-step explanation:

Remember to follow PEMDAS. Note that, when multiplying or dividing:

1) one positive and one negative = negative number

2) two positive = positive number

3) two negative = positive number

(-7)(-5) = -7 * -5 = 35

+(-8) = +1 * -8 = -8

Subtract:

35 - 8 = 27

27 is your answer.

8 0

2 years ago

Read 2 more answers

If Pam has 40 dollars in her account, how much money does her brother have in his account? Use a tape diagram to support your an

katen-ka-za [31]

Pam and her brother both open savings accounts. each begin with a balance of $0. For every $2 is that Pam saves in her account her brother saves $5 in his account

P:bro=2:5
when P=40 what is bro?

2/5=40/b
times 5b both sides
2b=200
divide 2
b=100
bro has $100
not sure what tape diagram is

8 0

2 years ago