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Soloha48 [4]
3 years ago
6

Convert the expression 92/7 into a decimal number (divided out to the thousandths place).

Mathematics
1 answer:
scoundrel [369]3 years ago
3 0

Answer:

13.8571428571 or 13.857

Step-by-step explanation:

97/7 or 9 7/7 cuz if so its 10

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Identify the domain and range of the function f(x) = 2x2 − 6x − 9.
mash [69]
Range is the y values or ouputs
domain is inputs or x vvalues

we can use any x value
but at a certain y value, w can't go below that
find thatminimum
find the vertex
for
ax^2+bx+c
the x value of the vertex is
-b/2a
plug that in to the equaiton to get the y value

-b/2a=-(-6)/(2*2)=6/4=3/2

plug that in
2(3/2)^2-6(3/2)-9
2(9/4)-9-9
9/2-18
4.5-18
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domain=all real numbers
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4 0
3 years ago
(I NEED THIS ANSWERED SUPER SUPER FAST PLEASE IT'S IMPORTANT!!!!!!)<br><br> 6 7/8c =__ fl oz
Olegator [25]
1 cup = 8 fluid ounces.
6.875 cups = ? fluid ounces.
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8 0
3 years ago
Which postulate can be used to prove that two triangles are congruent
user100 [1]
Side-Side-Side Theorem, Side-Angle-Side, Angle-Angle-Side, Angle-Side-Angle, and Hypotenuse-Leg for right triangles. 

For example, for Side-Side-Side, if you prove all 3 sides of the triangle are congruent, then the triangle is congruent. 
3 0
3 years ago
A rectangular box is to have a square base and a volume of 40 ft3. If the material for the base costs $0.36/ft2, the material fo
blagie [28]

Answer:

  • length: 2 ft
  • width: 2 ft
  • height: 10 ft

Step-by-step explanation:

The total cost of the top and bottom is $0.36 + 0.14 = $0.50 per square foot.

The total cost of a pair of opposite sides is $0.05 +0.05 = $0.10 per square foot.

A minimum-cost box will have the cost of any pair of opposite sides be the same. Here, that means the box will have a side area that is 5 times the area of the top or bottom.

Since the base is square, that means the box is the shape of 5 cubes stacked one on the other. Each of those would be 8 ft³, so would have edge dimensions of ∛8 = 2 feet. The height is 5 times that, or 10 ft.

The box is 2 feet square by 10 feet high:

  • length: 2 ft
  • width: 2 ft
  • height: 10 ft

_____

If you feel the need to write an equation, you can let x represent the edge length of the base. Then the cost of the top and bottom will be ...

  top&bottom cost = 0.50·x²

The height of the box is 40/x², so the cost of the four sides will be ...

  side cost = (0.05)(4x)(40/x²) = 8/x

This is minimized when the derivative of the sum of these costs is zero:

  cost = top&bottom cost + side cost

  cost = 0.50x² + 8/x

  d(cost)/dx = 1.00x -8/x² = 0

Multiplying by x², we get ...

  x³ -8 = 0

  x = ∛8 = 2 . . . . . . as above

  height = 40/x² = 40/4 = 10 . . . . . as above

6 0
3 years ago
What is the intermediate step in the form (x + a)^2 = b as a result in completing the square for the following equation?
lions [1.4K]

For this case we have the following expression:

We follow the steps below:

We subtract 4x on both sides of the equation:

We subtract 10 from both sides of the equation:

Now, we must complete squares.

When we have an equation of the form:

, if we want to complete squares we must subtract c on both sides of the equation obtaining:

The square is completed by adding to both sides of the equation:  

So, we have left:

In the given expression we have:

And to complete the square we have:

Rewriting we have:

We factor the left side of the equation, that is, we look for two numbers that when added together result in -8 and when multiplied as a result 16. We have:

So, we have:

Answer:

The intermediate step is to complete squares

3 0
2 years ago
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