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Artemon [7]
3 years ago
10

I need help please and I will give u 30 points

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
8 0

Answer:

they are wrong because 3.59 is less than 3.6 . 3.6 is the same as 3.60 only add the 0 and it will not change the value . yes 59 is more than 6 but the student did not realize you can put a place holder to determine the comparison.

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Solve 5x-4<2x+5. Enter your answer as an inequality.(Need help ASAP pls!!!)
anzhelika [568]

Answer: x < 3

Step-by-step explanation:

      To solve this inequality, we will simplify and isolate the x variable.

   Given:

5x - 4 < 2x + 5

   Add 4 to both sides:

5x < 2x + 9

   Subtract 2 from both sides:

3x< + 9

   Divide both sides by 3:

x < 3

5 0
2 years ago
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Find the equation of the directrix of the parabola found in part A.
elena-s [515]

The specific equation of the parabola can be found by plugging the given

values of the variables of the general equation.

<h3>Correct Response;</h3>
  • \displaystyle The \ equation \ of \ the \ parabolic \ reflector \ is; \ \underline{ y = \frac{1}{12} \cdot x^2}
<h3>Method used to obtain the above equation;</h3><h3 /><h3>Given parameters;</h3>

The vertex of the parabola is at the origin with coordinates (0, 0)

The location of the focus = 3 cm from the vertex

<h3>Required:</h3>

The equation that models the parabola.

<h3>Solution:</h3>

The vertex form of the equation of a parabola is y = a·(x - h)² + k

The above equation can be expressed as (x - h)² = 4·p·(y - k)

Where in a vertical parabola;

(h + p, k) = The coordinates of the focus

(h, k) = The coordinates of the vertex = (0, 0)

p = 3 = The distance of the focus from the vertex

Therefore, the coordinates of the focus = (0 + 3, 0) = (3, 0)

The equation of the parabola is therefore;

(x - 0)² = 4×3 × (y - 0) = 12·y

x² = 12·y

  • \displaystyle The \ equation \ of \ the \ parabola \ that \ models \ the \ reflector \ is; \ \underline{ y = \frac{1}{12} \cdot x^2}

Learn more about the equation of a parabola here:

brainly.com/question/2131669

5 0
3 years ago
A new auditorium is begging built for a college the balcony has 200 seats the floor has 25 rows with x seats in each row the num
aliya0001 [1]

Question:

A new auditorium is being built for a college. The balcony has 200 seats. The floor has 25 rows with x seats in each row. The number of people in the auditorium must be under 750 to meet safety regulations. What is the solution of this inequality, and what is its meaning?​

Answer:

200 + 25x < 750

Number of seats in a row must be less than 22

Step-by-step explanation:

Given

Total = Less than 750

Current Seats = 200

Rows = 25

Seat per row = x

Required

Represent as an inequality

The scenario will be represented as:

Current\ Seats + Rows * x = Total

Substitute 200 for Current Seats

200 + Rows * x = Total

Substitute 25 for Rows

200 + 25* x = Total

200 + 25x = Total

Substitute <750 for Total.

The equation then becomes

200 + 25x < 750

Solving further:

25x < 750 - 200

25x < 550

x < \frac{550}{25}

x < 22

This means that:

Number of seats in a row must be less than 22

3 0
3 years ago
If you divide my number by two and subtract four you will get to
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What is your number ?
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4 years ago
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yaroslaw [1]

Answer:

(shown in attached picture)

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