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Umnica [9.8K]
3 years ago
15

ANSWER ASAP PLEASE!!!

Mathematics
1 answer:
Dmitrij [34]3 years ago
6 0
The answer is D. <span>No, it is not a valid inference because his classmates do not make up a random sample of the students in the school.</span>
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What is the solution of the system of equations?<br><br> {4x−3y=152x+2y=4
trasher [3.6K]
Start by solving one equation for x or y, this time I'm choosing x. 2x = 4 - 2y, then x = 2 - y. Now substitute in x in the other equation. 4(2-y) - 3y = 15. This simplifies to 8 - 4y - 3y = 15. This simplifies to -7y = 7. Divide both sides by -7, and y = -1. Now plug the y value into the other equation: 2x + 2(-1) = 4. This simplifies to 2x = 6, and x = 3. 
X = 3, Y = -1   or (3,-1)
8 0
3 years ago
What is 66/100 in simplest form
damaskus [11]
The answer to your question is 33/50 cause that is what I found on goggle
5 0
3 years ago
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An open top rectangular box is to be made from a rectangular piece of metal that is 3cm wide and 8cm long by cutting a square fr
Tanzania [10]

Answer:

x  = 0.67 cm

Step-by-step explanation:

Let call  " x " the length of the side of the square to cut from each corner

then the sides of the future box would be

L = 8 - 2x       and   D = 3 - 2x

The volume of the box is:

V = L*D*x

And such volume as function of x is

V(x)  = ( 8 - 2x ) * ( 3 - 2x ) * x     ⇒  V(x)  = ( 24 - 16x - 6x + 4x²) * x

V(x)  =  4x³ - 22x² + 24x

Taking derivatives on both sides of the equation we get:

V´(x) = 12x² - 44x + 24

Then    V´(x) = 0       ⇒   12x² - 44x + 24 = 0    ⇒  3x² -  11x + 6 = 0

We got a second degree equation solving for x

x₁,₂  = [11 ± √ 121 - 72 ] / 6

x₁  = ( 11 + 7 ) / 6         x₁  =  3   we dismiss this solution since according to problem statement  one side would become negative

Then

x₂  =  (  11 - 7 ) / 6    ⇒    x₂  =  4/6      ⇒   x₂  =  0.67 cm

As the second drivative is smaller than 0 then there is a maximun in that point

V´´(x)  = 12x - 44  < 0

Sides of the box

L = 8 - 2x    ⇒  L = 8 - 2*(0.67)   ⇒  L  = 8  - 1.34    ⇒  L = 6.66 cm

D = 3 - 2x   ⇒   D = 3 - 2* (0.67) ⇒  D = 3 - 1.34    ⇒   D = 1.66 cm

Heigh  =  x  = 0.67 cm

V(max) = 6.66*1.66*0.67

V(max) = 7.41 cm³

5 0
3 years ago
I really need help with this question. I have attached two screenshots, the first is the question and the second one is the opti
Sliva [168]

Using proportions, it is found that the coordinates of point B are given as follows:

A. (1.6, 0).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Point B is 3/4 of the way from AB to AC, hence:

B - A = \frac{3}{4}(C - A)

The points are:

  • A(-2,-3).
  • B(x,y).
  • C(3,1).


Then, to find the x-coordinate:

x + 2 = \frac{3}{4}(3 + 2)

x + 2 = 3.6.

x = 1.6.

For the y-coordinate:

y + 3 = \frac{3}{4}(1 + 3)

y + 3 = 3

y = 0.

Hence option A is correct.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

5 0
1 year ago
Jessie bought a 2-liter bottle of juice. Her sister drank 650 milliliters. How many milliliters were left in the bottle.
Alchen [17]
The best answer is ( 1350 milliliters Because Jessie bought a 2-liters which is 2000 milliliters and her sister drink 650 milliliters so now she have left ( 1350 milliliters
8 0
3 years ago
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