prove that the equation (a^(2)-5ab)-(7-3ab)+(2ab-a^(2)) is equivilent to -7 please show it step by step! Tysm!

Answers

Answer 1

Answer:

Step-by-step explanation:

(a^2 - 5ab) - (7 - 3ab) + (2ab - a^2) = -7

a^2 - 5ab -7 +3ab + 2ab -a^2 = -7 [combine like terms]

a^2 - a^2 = 0

-5ab + 3ab + 2ab = 0

-7 = -7

Answer 2

Answer:

Step-by-step explanation:

you can bring -(7-3ab) to the other side of the equation . then you will have this : (a^2 - 5ab) + (2ab - a^2) = -7 + (7 - 3ab)

now look at this part : -7 + (7 - 3ab) (because adding is a associative procedure) you can get rid of -7 and 7 . then you will have only -3ab

so now this would look like this :  (a^2 - 5ab) + (2ab - a^2) = -3ab

now take a look at the left of the equation : just like the last part we can simplify a^2 and - a^2 . and -5ab + 2ab would result in -3ab

because if you subtract -5ab from a^2 and subtract a^2 from 2ab ... then add then to each other would give you the same result

at the end you will have -3ab = -3ab which is a true conclusion.


Related Questions

Find a. Round your answer to the nearest hundredth

Answers

Step-by-step explanation:

[tex]c = 40 \\ b = 180 - 90 - 40 = 50[/tex]

[tex] \cos(40) = \frac{a}{12} \\ 0.766 = \frac{a}{12 } \\ a = 9.19[/tex]


Perry has already taken 8 pages of notes on his own, and he will take 1 page during each
hour of class. After attending 33 hours of class, how many total pages of notes will Perry
have in his notebook?

Answers

Answer:

41 pages of notes

Step-by-step explanation:

Since he took 1 page of notes for each hour, and attended 33 hours of class, this will add 33 pages of notes to his notebook.

To find the total, add 8 to this, because he already had 8 pages on his own.

33 + 8

= 41

So, he will have 41 pages of notes in his notebook

Answer:

He will have 41 pages of notes in his notebook.

Step-by-step explanation:

(33*1)+8

30*1=30

3*1=3

30+3=33

33+8

41

can someone help me i will mark you has brainlist

Answers

Answer:

A

Step-by-step explanation:

Pls help I’m failing math I’ll brainlest for the right answer grades close today

Answers

answer: i think that it would increase by about 20 percent

i am not sure, if i m wrong then i am very sorry!

Step-by-step explanation:

Answer:

The change is a decrease by ~13.6%

Step-by-step explanation:

Formula:

[First Value – Second Value] ÷ [(First Value + Second Value) ÷ 2] × 100

48 - 84 ÷ 48 + 84 ÷ 2 × 100

-36 ÷ 132 ÷ 2 × 100

-0.2727272727272727 ÷ 2 × 100

-0.1363636363636364 × 100

-13.63636363636364

Or ~ 13.6

The change is a decrease by ~13.6%

It is common to leave a 10% tip when the service was just mediocre. At one such occasion, a patron left a 10% tip on a $23.45 bill.
What is the tip amount?

What is the total bill?

Answers

Answer: $2.3

Step-by-step explanation: well you need to find 10% of 23.45, so multiply .1 by 23.45.

What is the tip amount?Solution:

[tex]23.45 \times 10\%[/tex]

[tex] = 23.45 \times 0.1[/tex]

[tex] = 2.345[/tex]

[tex] = 2.35[/tex]Answer:

$2.35 is the tip amount

What is the total bill?Solution:

[tex]23.45 + 2.345[/tex]

[tex] = 25.795[/tex]

[tex] = 25.80[/tex]

Answer:

$25.80 is the total bill

#CarryOnLearning

#AnswerForTrees

#BrainlyBookSmart

The length of a rectangle is 3 yd longer than its width.
If the perimeter of the rectangle is 66 yd, find its length and width.

Answers

length = 3 + w (width)

perimeter: 66

2(3 + w + w) = 66

6 + 2w + 2w = 66

6 + 4w = 66

4w = 60

w = 15

length = 15 + 3 = 18

final answer:

length = 15 yards

width = 18 yards

please help 30 points!

Answers

Answer:

its A=4,20, B=8,40

Step-by-step explanation:

you are supposed to do the Y first then the X

Answer:

B. every 4 miles you run it will have been 20 min

C. put 4 over 20 like a fraction then next to that put a 1 over x then cross multiply and divide giving you the answer wich is " for every mile you run you spend 5 min

D. 1/5 for every mile you spend 5 minutes

E. same thing as above

Step-by-step explanation:

What is the answer to 34/6?

Answers

Answer:

I don't Know if this is division or fraction

Step-by-step explanation:

But I divided

and my answer was 5r4

If there are two distinct zeros, enter them separated by a comma. If there is a single zero, enter it. If there
are no zeros, enter the word none.
Find the zeros of the quadratic function from its graph.
y = x2 + 9x + 20
1 2
الفا
4
G
-10
-9
-8
-6
5
-2
- 1
0
1

Answers

Given that,

An equation : [tex]y=x^2+9x+20[/tex]

To find,

The zeros of the above function.

Solution,

To find zero, put y = 0

[tex]x^2+9x+20=0\\\\x^2+5x+4x+20=0\\\\x(x+5)+4(x+5)=0\\\\(x+4)=0\ \text{and}(x+5)=0\\\\x=-4\ \text{and}\ x=-5[/tex]

So, the zeros of the above quadratic equation is -4 and -5.

Select the number that would make this statement true: 361.2 ÷ ________ = 036.12 (3 points)
1,000
100
10
1

Answers

Answer: c

Step-by-step explanation:

You can take the blank as x

so 361.2 / x = 36.12

multiply by x

361.2 = 36.12x

divide

x = 10

thank me and mark me as brainlies

Answer:

10

Step-by-step explanation:

20. Jorge conducted a survey by asking 120 students whether they use a pencil to take notes. Of the students surveyed, 90 responded favorably. Which margin of error matches each confidence level for this situation?
1. 90% =
2. 99% =
3. 95%=
options- 0.102, 0.338, 0.216, 0.077, 0.256, 0.065

Answers

Answer:

Margin of error for 90% C.I: 0.065

Margin of error for 99% C.I: 0.091

Margin of error for 95% C.I: 0.077

Step-by-step explanation:

In this question, for each student, there are only two possible outcomes. Either they use a pencil to take notes, or they do not. Students are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial confidence interval:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

For this problem, we have that:

120 students, so [tex]n = 120[/tex]

90 responded favorably, so [tex]p = \frac{90}{120} = 0.75[/tex]

Margin of error for 90% CI:

Here [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}} = 1.645\sqrt{\frac{0.75*0.25}{120} = 0.065[/tex]

Margin of error for 99% CI:

Here [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.325[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}} = 2.325\sqrt{\frac{0.75*0.25}{120} = 0.091[/tex]

Margin of error for 95% CI:

Here [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}} = 1.96\sqrt{\frac{0.75*0.25}{120} = 0.077[/tex]

Answer: Margin of error for 99% CI: z=2.575 . input that into the equation and it give you .1017

Step-by-step explanation:

Please help to solve thos question..
Twenty-percent (20%) of Americans have no health insurance. Randomly sample n = 15 Americans. Let X denote the number in the sample with no health insurance. What is the probability that 3 of them have insurance? ​

Answers

Answer:

0% probability that 3 of them have insurance

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they have insurance, or they do not. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Twenty-percent (20%) of Americans have no health insurance.

This means that 80% have insurance, so [tex]p = 0.8[/tex]

Randomly sample n = 15 Americans.

This means that [tex]n = 15[/tex]

What is the probability that 3 of them have insurance? ​

This is [tex]P(X = 3)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{15,3}.(0.8)^{3}.(0.2)^{12} = 0[/tex]

0% probability that 3 of them have insurance

can someone please prove that the expression (x-y)+(y-z)+(z-x) is equivalent to 0

Answers

Answer:

see below

Step-by-step explanation:

[tex](x-y)+(y-z)+(z-x)\\\\=x-y+y-z+z-x\\\\=(x-x)+(-y+y)+(-z+z)\\\\=0+0+0\\\\=0[/tex]

Determine if the pair of lines are parallel, perpendicular, or intersecting.
y=2/3x +4
y=2/3x -1

Answers

Answer:

They are parallel

Step-by-step explanation:

They both start with y=2/3x so you know the slope is the same. The +4 and -1 are just the intercepts

the product of two number is 42.they are two consecutive numbers. the two numbers are both less than 10. what is the answer?​

Answers

Answer:

6 and 7

Step-by-step explanation:

You first want to find the factors of 42. They are:

1,2,3,6,7,14,21,42

The factor pairs are:

1 & 422&213&146&7

The only factor pair with consecutive numbers is 6 and 7. They are both less than 10 as well, so 6 and 7 works.

Spencer has a bank account with a balance of $75.00. Spencer owes $30.00 to her credit card and she owes $50.00 for a LCD TV. What would Spencer’s bank balance be, if both debits were paid?

Answers

Answer:

-5.00 dollars

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

75-50-30=-5

The range of a function
y =2/3x + 1 is {3, 5, 17/3, 23/3
Identify the domain.
{1, 8, 15, 12)
{2, 5, 8, 12)
{3, 6, 7, 10)
{10, 16, 18, 22)

Answers

Answer:

{3,6,7,10}

Step-by-step explanation:

2/3(3)+1=3

2/3(6)+1=5

2/3(7)+1=17/3

2/3(10)+1=23/3

a 15 kg mass
moves with a
speed of 10
m/s. Calculate
the kinetic
energy.

Answers

Answer:

[tex]\boxed {\boxed {\sf 750 \ Joules}}[/tex]

Step-by-step explanation:

Kinetic energy can be found using the following formula.

[tex]E_k=\frac{1}{2}mv^2[/tex]

where m is the mass and v is the speed.

We know this is a15 kilogram mass moving with a speed of 10 meters per second. Therefore:

[tex]m= 15 \ kg \\v= 10 \ m/s[/tex]

Substitute the values into the formula.

[tex]E_k=\frac{1}{2}(15 \ kg)(10 \ m/s)^2[/tex]

Solve the exponent first.

(10 m/s)²= 10 m/s* 10 m/s= 100 m²/s²

[tex]E_k=\frac{1}{2}(15 \ kg)(100 \ m^2/s^2)[/tex]

Multiply 100 m²/s²and 15 kg.

[tex]E_k=\frac{1}{2}(1500 \ kg*m^2/s^2)[/tex]

Multiply by 1/2 or divide by 2.

[tex]E_k= 750 \ kg*m^2/s^2[/tex]

1 kilogram square meter per square second is equal to 1 Joule. Our answer of 750 kg*m²/s² is equal to 750 J

[tex]E_k= 750 \ J[/tex]

The kinetic energy is 750 Joules.

Describe all the x-values at a distance of 25 or less from the number 12. Enter your answer in interval notation.​

Answers

Answer:   [-13, 37]

======================================================

Explanation:

The smallest x value possible is 12-25 = -13

The largest x value possible is 12+25 = 37

It might help to draw out a number line to see this.

x is between -13 and 37, including both endpoints. We can write [tex]-13 \le x \le 37[/tex]

This converts to the interval notation [-13, 37] which is the answer.

The use of square brackets is to indicate "include this endpoint".

What best determines whether a borrower's interest rate on an adjustable rate loan goes up or down?
a fixed interest rate
O a bank's finances
a market's condition
O a person's finances
Nark this and retum
Save and Exit
Next
Submit

Answers

What best determines whether a borrower's interest rate on an adjustable rate loan goes up or down is: A market's condition.

Market condition

Market condition tend to have impact interest rate or determining whether borrower's interest rate on an adjustable rate loan goes up or down.

Reason being that market condition help to determine the current state of an economy at a specific period of time.

In order to determine if the interest rate will either increase or decrease the current market condition has to be put into consideration because it have great influence on interest rate.

Inconclusion What best determines whether a borrower's interest rate on an adjustable rate loan goes up or down is: A market's condition.

Learn more about market's condition here:https://brainly.com/question/15176320

Answer:

Option C: Markets Condition

This is here for the people who are too busy to read the other persons long answer :) So give him brainliest!

4 and 9/10 minus 2 and 2/5 = (in fractions)
5 and 1/2 minus 2 and 2/5 = (answer in fractions)
5 and 1/2 plus 2 and 3/5 =
4 and 5/6 minus 2 and 1/4 =

Answers

Answer:

3 mark me brainlest

Step-by-step explanation:

Answer:

It is the 3rd one I think

Step-by-step explanation:

Hope this helps have an amazing day!

You owe $300 on your credit card. For every month that you fail to make a payment, your balance increases by 1%. Find a formula for the balance B owed after t months with no payment.

Answers

Answer:

[tex]B(t) = 300(1.01)^{t}[/tex]

Step-by-step explanation:

The balance owed after t months can be given by an exponential function in the following format:

[tex]B(t) = B(0)(1+r)^{t}[/tex]

In which B(0) is the initial balance owed and r is the growth rate, as a decimal.

You owe $300 on your credit card. For every month that you fail to make a payment, your balance increases by 1%.

This means, respectively, that [tex]B(0) = 300, r = 0.01[/tex]

So

[tex]B(t) = 300(1+0.01)^{t}[/tex]

[tex]B(t) = 300(1.01)^{t}[/tex]

Help me please I hate Math

Answers

Answer:

112°

Step-by-step explanation:

Each of the interior angles that measure 34° and mentioned there are two of them will add up to 68°.  A triangle must equal 180°.  Subtract 68 from 180 to get 112° as your final answer.

Answer:

112

Step-by-step explanation:

180-(34+34)

180-68

112

1a
the length of notes na inante are till wudhof
1
Innly
llon
117 and Itank​

Answers

Answer:

can you please describe this more and what it is then i will answer it in the comments

Step-by-step explanation:

Which expression represents the fourth term in the binomial expansion of (e + 2f)10?
10C3(e7)(2f)3
10C3(e7)(f)3
10C4(e6)(2f)4
10C4(e6)(f)4

Answers

Answer:

first one

Step-by-step explanation:

Answer:

a on edge

Step-by-step explanation:

Let c = 10. Drag the expression into the box that makes the comparison true. H HIS C + 25 < De 30 - 3 4c-10 c2-63 10please help ​

Answers

Answer:

c2-63

Step-by-step explanation:

Solve the equation X-4/2=10
X=24
X=22
X=29
X=39

Answers

Well, the answer to this question is X = 24.
Glad I could help and have a fantastic day!
Also, can you please mark my answer as the brainliest answer?
Thanks.

what is different of the four shapes?​

Answers

Answer:

It has only 1 pair of parallel sides.

Step-by-step explanation:

Answer:

It has only 1 pair of parallel sides

Step-by-step explanation:

Henry is planning to create two rectangular gardens.
Part A
Henry has 96 feet of fencing to enclose the first rectangular garden. The garden will be x feet wide.
Which function, f(x), can Henry use to determine the area, in square feet, of the first garden?
a f(x) = 48x
f(x) = 48 - x
f(x) = 48 – x²
f(x) = 48x - x2

Answers

Answer:

Step-by-step explanation:

THANKS 4 POINTS!!!!!!!

2 1/3 - 1 2/5 please help

Answers

Answer:

14/15

Step-by-step explanation:

2 1/3 - 1 2/5

1 4/3 - 1 2/5

0+14/15

final answer is 14/15

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