Can a linear equation and a linear inequality be solved in the same way? Explain why. What makes them different?

Answers

Answer 1

Answer: There are some extra mathematical rules on an inequality, for example, when you multiply or divide both sides by a negative number the direction of the inequality must be switched. > to < or < to >, etc. Another difference is that in a linear equation you get a number as the result, in an inequality, you get an interval of numbers.

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The price of a plane ticket has increased from $150 to $200. By what percent has the price increased?A) 15%
B) 25%
C) 33%
D) 50%

Answers

It is 33% because that is a third. A third of 150 is 50 and it has increased by 50 to get to 200.

Maurice works at the circus and needs to clean the water tank for the dolphins. Tank A measuring 50 cm x 70 cm x 70 cm was 2 7 filled with water. Tank B having a base area of 5000 cm² was empty. Water from Tank A was poured into Tank B. What was the height of water in Tank B?

Answers

Answer:

14 cm

Step-by-step explanation:

1. First, we need to find the total volume of Tank A. Tank A is a rectangular prism, and the volume of a rectangular prism is given by the formula length x width x height. In this case, it's...

50 cm x 70 cm x 70 cm = 245,000 cubic cm

2. Tank A was 2/7 full, so we need to find out how much water was in Tank A.

To find this, we multiply the total volume by the fraction that's full:

245,000 cm³ * 2/7 = 70,000 cm³.

3. This 70,000 cm³ of water was then poured into Tank B. We want to find out how high the water is in Tank B, so we need to divide the volume of the water by the base area of Tank B.

4. The base area of Tank B is given as 5000 cm². So, the height of the water in Tank B is 70,000 cm³ / 5000 cm² = 14 cm.

So, the height of the water in Tank B is 14 cm.

Hope this helps! :)

Solve the equation by completing the square. Round to the nearest tenth.x^2 + 8x = 10

A. 1.1, 9.1
B. 1.1, -9.1
c. -1.1, 9.1
D. -1.1, -9.1

Answers

B.
1.1, -9.1

$x^(2) +8x=10$

Answer: The correct option is (B) 1.1, -9.1.

Step-by-step explanation: We are given to solve the following quadratic equation by the method of completing the square.

$x^2+8x=10~~~~~~~~~~~~~~~~(i)$

In completing the square method, we need to make left hand side of the above given equation as a perfect square trinomial.

From equation (i), we have

$x^2+8x=10\n\n\Rightarrow x^2+2* x* 4+4^2=10+4^2\n\n\Rightarrow (x+4)^2=10+16\n\n\Rightarrow (x+4)^2=26\n\n\Rightarrow x+4=\pm√(26)\n\n\Rightarrow x=-4\pm √(26)\n\n\Rightarrow x=-4\pm 5.09\n\n\Rightarrow x=-4+5.09,~~~~~x=-4-5.09\n\n\Rightarrow x=1.09,~~~~~~~~~\Rightarrow x=-9.09.$

Rounding to the nearest tenth, we get

$x=1.1,~~-9.1.$

Thus, the required solution is x = 1.1, -9.1.

Option (B) is CORRECT.

Receipt-of-goods discounts tend to be offered in cases where?

Answers

Answer:

Step-by-step explanation:

What is the slope of the line which passes through (−2, 0) and (0, 4)? (5 points) 2 Undefined −2 0

Answers

Answer:

Step-by-step explanation:

The formula you use to find the slope is

$(y_(2)-y_(1))/(x_(2)-x_(1))$

First, you want to substitute

$(4-0)/(0--2)$

Which simplifies to

$(4-0)/(0+2)$

Because two negatives equal a positive

The next step is to add and subtract

$(4)/(2)$

Which simplifies to

$(2)/(1)$

Which equals

Hope this helped, if you have any questions, feel free to ask.

Have a good day! :)

Answer:

The answer is option 1.

Step-by-step explanation:

You have to apply Gradient formula :

$m = (y2 - y1)/(x2 - x1)$

$let \: (x1 \: , \: y1) \: be \: ( - 2 \: , \: 0)$

$let \: (x2 \: , \: y2) \: be \: (0 \: , \: 4)$

$m = (4 - 0)/(0 - ( - 2))$

$m = (4)/(2)$

$m = 2$

An up-and-coming artist has 85 followers on Twitter and this number doubles every week. In what week will the artist first reach 1,000 followers? Use at least two different methods to come up with your answer.

Answers

It will take $6$ week to reach $1000$ followers.

First, we are using two step to find the answers.

Division
Addition

Division:

By given, A artist has $85$ followers.

Every week the no. of. followers is doubled .

Now, find how many week the artist reach $1000$ followers.

Since week followers is doubled,

So , $85*2$

Thus,

$1000/(85*2)\n\n=1000/170\n\n=5.883$

Which is not possible .

Then, it take $6$ week to reach the $1000$ followers.

Addition:

By given, A artist has $85$ followers.

Every week the no. of. followers is doubled .

To find how many week the artist reach $1000$ followers.

Now, the first week has $85$ followers.

$85$ followers doubled.

$85+85=170$ followers doubled in every week .

Then,

Second week has $85+85=170$ followers.

Third week has $170+170=340$ followers.

Fourth week has $340+170=680$ followers.

Fifth week has $680+170= 850$ followers.

Sixth week has $850+170= 1020$ followers.

Hence, the artist reach $1000$ followers in mid week of $5$ to $6$ week .

so, it approximately take $5.88$ week to reach $1000$ followers but which is impossible to take decimal in week .

Thus, the artist take $6$ week to reach the $1000$ followers.

For more information:

brainly.com/question/17367033

Answer:

5.8 , which approximately is 6 weeks.

Step-by-step explanation:

the first method is the short one since u just have to double the 85 then divide to 1000.

1000 ÷ ( 85 × 2)

1000 ÷ 170 = 5.882,,,,,. round off to whole number to get 6.

the second method is the addition method.

we start by 85 then keep doubling 85 for every week........inshort.......we add 170 to each weeks number to get the number of followers for the following week.

85 ⇒ 170 ⇒ 340 ⇒ 510 ⇒ 680 ⇒ 850 ⇒ 1020.

1st 2nd 3rd 4th 5th 6th week.

u notice that we add (85×2), 170, to get the following week's number of followers..

in 5 weeks..... the number of followers is yet to get to 1000.

when u divide, u get 5.8.....,and it is not logic to say 5.8823....weeks

since she reaches 1000 followers in the 6th week.......though there is an addition,,,, it is the most appropriate answer.

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