Full explanation and answers on these 2 questions please. Also only answer if u know what ur doing.

Full Explanation And Answers On These 2 Questions Please. Also Only Answer If U Know What Ur Doing.

Answers

Answer 1

Step-by-step explanation:

Q3

25 - (x-8)²/4 = [100 - (x-8)²]/4

[100 - (x²- 16x + 64)]/4

(100 - x² + 16x - 64)/4 = (-x² + 16x + 36)/4

(36 + 16x - x²)/4 = (36 - 2x + 18x - x²)/4

[2(18 - x) + x(18 - x)]/4 = [(2 + x)(18 - x)]/4

....proved

Q4

3(ax + 7) - 2(x + b) = 4x + 29

expanding,

3ax + 21 - 2x - 2b = 4x + 29

3ax - 2x + 21 - 2b = 4x + 29

Comparing terms; x terms,

3ax - 2x = 4x

3a - 2 = 4

3a = 6

a = 6/3

a = 2

constant terms,

21 - 2b = 29

21 - 29 = 2b

2b = -8

b = -8/2

b = -4

.... proved


Related Questions

If I is parallel to m. Find x and y

Answers

Answer: make me brainlist

Step-by-step explanation: x=104

104 ————————————————————

the price of an article is Marked 25% above the cost price .if it is solid the profit of Rs.500 after allowing 15% discount .what will be it's selling price​

Answers

Answer:

  Rs 8500

Step-by-step explanation:

For a cost price of c, the marked price is ...

  marked = c +25%·c = 1.25c

After the 15% discount, the sale price will be ...

  s = marked -15%·marked = 0.85·marked = (0.85)(1.25c) = 1.0625c

The profit will be the difference between the sale price s and the cost c:

  p = s -c

  500 = (1.0625c) -c = 0.0625c

Then the cost is ...

  500/0.0625 = c = 8000

and the sale price is ...

  s = c +p = 8000 +500 = 8500 . . . rupees

The selling price will be Rs 8500.

This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Fill in the blank question.
Cassie wants to purchase a pair of binoculars that is on sale for $155.75. The sales tax rate in his county is 7%.



Calculate the amount of sales tax Cassie will pay on the purchase. Round to the nearest cent if necessary.



sales tax: $

Listen to the complete question
Part B
Fill in the blank question.
How much will Cassie pay in all for the pair of binoculars after sales tax is included? Round to the nearest cent if necessary.



total cost: $

Answers

Answer:

$10.12

Step-by-step explanation:

Step one:

given data

we are told that the cost of binoculars is $155.75

and also the sales tax is 7%

Step two:

We want to first solve for the sales tax which is 7% of  $155.75

=7/100* 155.75

=0.070*155.75

=10.12

Cassie will pay a tax of $10.12

Also Cassie will pay a total amount of

= 155.75+10.12

=$165.87

Solve the Inequality for x.
-5x + 20 < 5

A) x > 5

B) x < 3

C) x > 3

D) x < -5

Thanks!!! :D

Answers

Answer:

x>3

Step-by-step explanation:

-5x+20<5

-5x<5-20

-5x<-15

5x>15

x>15/5

x>3

Answer:

A) x > 3

Step-by-step explanation:

[tex]-5x + 20 < 5\\\rule{150}{0.5}\\-5x + 20 - 20 < 5 - 20 \\\\-5x < -15 \\\\\frac{-5x < -15}{-5}\\\\\boxed{x > 3}[/tex]

LAST ATTEMPT MARKING AS BRAINLIEST!! (Pythagorean theorem )

Answers

10 km is the answer
Your welcome

Order each set of rational numbers from least to greatest 2.1,-0.3,0.261,-2.5

Answers

Answer:

i think -2.5 -0.3 0.261 2.1

 the number of Significant Figures in 13410000 *​

Answers

Answer:

hhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

hhhhhhhhhhhh

Answer:

4

Step-by-step explanation:

13410000

Sig Figs4

13410000

Decimals0

Scientific Notation1.341 × 107

E-Notation1.341e+7

Words thirteen million four hundred ten thousand

Mary has 18 ounces of apple chips she evenly portions the apple chips between four containers how many ounces of apple chips are in one container

Answers

Answer:

4.5 ounces

Step-by-step explanation:

18/4=4.5

There will be 4.5 ounces in each container

4.5•4=18

When solving a quadratic in the form ax2 + bx + c = 0 we are really finding the x–intercepts. These x–intercepts are also called roots. What is another term for roots or x-intercepts? put it in a full sentence for me please

Answers

Answer:

  solutions

Step-by-step explanation:

Another term for the roots or x-intercepts of the standard-form quadratic equation is "solutions." These are the values of x that make the equation true.

( I will give brainliest! ) What is the simplified expression of

4x + 2(3x + 7) - 7x?

Answers

Answer:

[tex]3x + 14[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]4x + 2(3x + 7) - 7x[/tex]

[tex]4x + (2 * 3x) + (2 * 7) - 7x[/tex]

[tex]4x + 6x + 14 - 7x[/tex]

Step 2:  Combine like terms

[tex]4x + 6x + 14 - 7x[/tex]

[tex](4x + 6x - 7x) + 14[/tex]

[tex]3x + 14[/tex]

Answer:  [tex]3x + 14[/tex]


Four times a number, minus 4, is equal to three times the number, plus 6. Find the number

Answers

Answer:

42

Step-by-step explanation:

2 2/6 is equivalent to what?​

Answers

The answer is 2.3333333333

Which type of correlation does this scatterplot show?

Answers

Answer:

i think the answer to this question is positive correlation

Step-by-step explanation:

this image below may help u

Positive correlation. It is a positive correlation if y increases when x increases or y decreases when x decreases.

Change 3/4 to a decimal! Please explain step by step to get marked as brainliest

Answers

Answer:

The answer is 0.75

Step-by-step explanation:

The line in a fraction that separates the numerator and denominator can be rewritten using the division symbol. So, to convert a fraction to a decimal, divide the numerator by the denominator. If required, you can use a calculator to do this. This will give us our answer as a decimal.

Another method without a calculator is:

Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.

Step 2: Multiply both top and bottom by that number.

Step 3. Then write down just the top number, putting the decimal point in the correct spot (one space from the right hand side for every zero in the bottom number)

Example:

Convert 3/4 to a Decimal:

Step 1: We can multiply 4 by 25 to become 100

Step 2: Multiply top and bottom by 25. It gives us 75/100.

Step 3: Write down 75 with the decimal point 2 spaces from the right (because 100 has 2 zeros);

Answer = 0.75

Which quantity is proportional to 40/8?

Answers

Answer:

5/1

10/2

15/3

20/4

25/5

30/6

35/7

Step-by-step explanation:

The population of certain city is projected to grow at the rate of r(t) = 400 1+ people/ 24 +7 year in interval (Osts 5) t years from now. The current population is 60 000. What will be the population 5 years from now?​

Answers

The population 5 years from now would be 60482

The population growth rate is given as:

[tex]r(t) = 400(1 + \frac{2t}{24 + t^2})[/tex]

The value of t, 5 years from now is represented as:

t = 5

Substitute 5 for t in the function r(t).

So, we have:

[tex]r(5) = 400(1 + \frac{2 \times 5}{24 + 5^2})[/tex]

Evaluate the exponent

[tex]r(5) = 400(1 + \frac{2 \times 5}{24 + 25})[/tex]

Evaluate the products

[tex]r(5) = 400(1 + \frac{10}{24 + 25})[/tex]

So, we have:

[tex]r(5) = 400(1 + \frac{10}{49})[/tex]

Divide 10 by 49

[tex]r(5) = 400(1 + 0.204)[/tex]

This gives

[tex]r(5) = 400(1.204)[/tex]

Expand

[tex]r(5) = 481.6[/tex]

The current population is given as 60000.

So, the population (P) 5 years from now would be

[tex]P = 60000 + 481.6[/tex]

[tex]P = 60481.6[/tex]

Approximate

[tex]P = 60482[/tex]

Hence, the population (P) 5 years from now would be 60482

Read more about population functions at:

https://brainly.com/question/20115298

Três torneiras enchem uma piscina em 10 horas quantas horas levarão 10 torneiras para encher 2 piscinas

Answers

Answer:

Step-by-step explanation:

What is the answer to y=-2(-3/2)-9

Answers

Answer:

-6

Step-by-step explanation:

y = -2 x -3/2 - 9

3 - 9 = -6

Hey there!

y= -2 (-3/2) - 9

-2(-3/2) = [3]

y = 3 - 9

y = -6

Therefore, your answer is: y = -6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The table shows the final score of four golfers.
Golfer Final Score
Joe
-2
Allen
-5
Tara
-8
Violet
-4
Whose score was the lowest? Whose was the highest? Select your answers from the drop-down lists.
score was the lowest.
score was the highest.
Students, draw anywhere on this slide!
PER Deck eractive Skoe

Answers

highest is joe because it the most closest to 0
Lowest is Tara because it the most far from 0

Answer:

Joe score was the highest. Tara score was the lowest.

Step-by-step explanation:

Suppose theta is an angle in the standard position whose terminal side is in Quadrant II and tan0= -sqrt3 Find the exact values of the remaining five trigonometric functions of theta

Answers

The exact values of the remaining five trigonometric functions of theta are

sinθ = √3/2cosecθ = 2/√3cosθ = -1/2secθ = -2 cotθ = -1/√3

Since tanθ = -√3.

The remaining five trigonometric functions of theta are sinθ, cosecθ, cosθ, secθ and cotθ.

The next trigonometric function of θ is cotθ.

cotθ = 1/tanθ

= 1/-√3

= -1/√3.

Also, tan²θ + 1 = sec²θ

Substituting tanθ = -√3 into the equation, we have

(-√3)² + 1 = sec²θ

3 + 1 = sec²θ

sec²θ = 4

secθ = ±√4

secθ = ±2

Since θ is in the quadrant II,

secθ = -2

Also, cosθ = 1/secθ

= 1/-2

= -1/2

Also, cot²θ + 1 = cosec²θ

Substituting cotθ = -1/√3 into the equation, we have

(-1/√3)² + 1 = cosec²θ

1/3 + 1 = cosec²θ

cosec²θ = 4/3

cosecθ = ±√(4/3)

cosecθ = ±2/√3

Since θ is in the quadrant II,

cosecθ = +2/√3

Also, sinθ = 1/cosecθ

= 1/2/√3

= √3/2

So, the exact values of the remaining five trigonometric functions of theta are

sinθ = √3/2cosecθ = 2/√3 cosθ = -1/2secθ = -2cotθ = -1/√3.

Learn more about trigonometric functions here:

https://brainly.com/question/4515552

Set up an algebraic equation then solve. 1. When 3 is subtracted from the sum of a number and 10 the result is 2. The sum of 3 times a number and 12 is equal to 3. Find the number. 3. Three times the sum of a number and 6 is equal to 5 times the number. Find the number. 4. The width of a rectangle is 4 inches less than its length. If the perimeter measures 72 inches, find the dimensions of the rectangle. 5. The perimeter of a square is 48 inches. Find the length of each 2. Find the number. side.​

Answers

Answer:

( x+10)-3= 2

x+10= 5

x= -5

3x+12= 3

3x= -9

x= -3

3( x+6 )= 5x

3x+ 18 = 5x

2x= 18

x =9

w= l-4 y= x-4

perimeter= 2l+ 2w

2(2x) + 2( x-4)

4x+2x-8 = 72

6x= 72+8

6x= 80

x= 13.3 width = 9.3 length = 13.3

4x=48

x = 12

each 2= 24

Madie drove 200 miles at a speed of 50 miles per hour. Which equation will help you find the number of hours she was driving?
StartFraction 50 miles Over 1 hour EndFraction = StartFraction 200 miles Over question mark hours EndFraction
StartFraction 50 miles Over 1 hour EndFraction = StartFraction question mark hours Over 200 miles EndFraction
StartFraction 200 miles Over 1 hour EndFraction = StartFraction 50 miles Over question mark hours EndFraction
StartFraction 200 miles Over 1 hour EndFraction = StartFraction question mark hours Over 50 miles EndFraction

Answers

she drove for 4  hours

Answer:

the person above me is wrong its not an option for me ;-;

Step-by-step explanation:


Last week, the price of oranges at the farmers market was $1.75 per pound. This week, the price has decreased by 15%. What is the price of
oranges this week?

Answers

Answer:

 11.6 (6 is repeating)

Step-by-step explanation:

1.75 divided by 15% of 75

URGENNTTT PLEASE ILL GIVE 50

Take Triangle ABC, A(2,-1), B(1,4) and C(-2,2). Do
the series of mappings to find A'B'C'.
First translate
it 3 units to the right and 2 units up, next reflect
about the x-axis, and finally rotate 180 degrees.

Answers

Answer:

(3-2)

Step-by-step explanation:

DASH
Hollywood Academy of Arts & Sciences
Select the correct answer. Press the Submit button.
Use the image and information you have read to answer.
How is the object in this image similar to the AUV
developed by engineers at MIT?
A
They both cause damage to deep-sea coral reefs.
B
They both stay motionless at all times.
They both must remain on the bottom of the ocean.
D They both squirt jets of water to hold their position.
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Answers

Answer:

The answer is b

Step-by-step explanation:

Happy holidays ;)

The hypotenuse AB of the right triangle ABC is parallel to the axis of the abscess. Find the length of the hypotenuse if A (-1; 1) and C (3; -4)

Answers

Answer:

  10.25

Step-by-step explanation:

The slope of AC is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -1)/(3 -(-1)) = -5/4

Then the slope of CB is the opposite reciprocal, 4/5. The equation of line CB in point-slope form is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -(-4) = 4/5(x -3) . . . . line CB

When y = 1 (to match the y-value of A), then ...

  1 +4 = 4/5(x -3)

  5(5/4) = (x -3) . . . . . multiply by 5/4

  6.25 +3 = x = 9.25 . . . . add 3

Point B is (9.25, 1).

The length of the hypotenuse is ...

  9.25 -(-1) = 10.25

A company manufactures and sells personalized stationery. The weekly fixed cost is $3850 and it cost $3.00 to produce each package of stationery. The selling price is $6.50 per package. How many packages of stationery must be produced and sold each week for the company to generate a profit?

The company will generate a profit if;
more than or equal to
more than
less than or equal to
less than
|blank|packages of stationery are produced and sold each week.

(sorry forgot to add that part in last question, hope this one is better)


Answers

Answer:

  more than 1100

Step-by-step explanation:

The contribution margin for each package sold is ...

  $6.50 -3.00 = $3.50

The number of packages that must be sold to cover fixed costs is ...

  3.50n > 3850

  n > 1100 . . . . . . . divide by 3.50

The company will generate a profit if more than 1100 packages are produced and sold each week.

_____

Additional comment

If exactly 1100 packages are sold, then costs are covered, but profit is 0. In order for profit to be positive, more than 1100 packages must be sold.

Algebra 1
What is the greatest possible error for a measurement of 4 inches?
inches


Answers

3 inches is the answer I got

Choose the equation that has m = 5 as the solution.
m + 4 = 20
m – 3 = 8
22 + m = 25
12 = m + 7
HElP ASAP!

Answers

Answer:

12 = m + 7

Step-by-step explanation:

When you plug in 5 to the above equation, you get 12 = 5 + 7. This is a true statement, so the answer is 12 = m + 7. Hope this helps!

What is the sales tax on a jacket priced at $275 if the sales tax rate is 7%?

Answers

the answer is 19.25, because when you ..
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