MATHEMATICS HIGH SCHOOL

Which of the two functions below has the smallest minimum y-value?f(x) = x4 - 2
g(x) = 3x3 + 2

Answers

Answer 1
Answer:

Answer:

out of the two functions g(x) attains the minimum y-value.

Step-by-step explanation:

We are given the function f(x)=x^4-2 and g(x)=3x^3+2.

now we have two check out of the two functions above which has the smallest minimum y-value.

Clearly from the graph attached to the solution of f(x) and g(x), we could see that for f(x) the minimum value of y is -2 while for g(x) the value of y goes on decreasing as x goes to minus infinity.

Hence g(x) attains the minimum value for y.

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What is the 5 number summary for 2,4,5,5,7,7,8,8,12

Answers

the most extreme values in the data set (the maximum and minimum values), the lower and upper quartiles, and the median.

Which quadrilaterals have perpendicular diagonals. A) Rhombus, Rectangle and Kite B) Rectangle, Square and Isosceles Trapezoid C) Square, Rhombus and Kite D) Isosceles Trapezoid, Rhombus and Square

Answers

Answer:

C) Square, Rhombus and Kite

Step-by-step explanation:

These are due to the fact that the square has all its equal sides and is 4 sides, so its diagonals will always be perpendicular.

The rhombus also has all its equal sides and are 4 sides so its diagonals will always be perpendicular.

The kite does not have its four equal sides, but its vertices are constructed from its diagonals that cross perpendicularly, so it also meets the perpendicular diagonals

The quadrilaterals have perpendicular diagonals are:

C) Square, Rhombus and Kite.

Here, we have,

These are due to the fact that the square has all its equal sides and is 4 sides, so its diagonals will always be perpendicular.

The rhombus also has all its equal sides and are 4 sides so its diagonals will always be perpendicular.

The kite does not have its four equal sides, but its vertices are constructed from its diagonals that cross perpendicularly, so it also meets the perpendicular diagonals.

Diagonals are the part of a shape, in geometry.

In Mathematics , a  diagonal is a line that connects two vertices of a polygon or a solid, whose vertices are not on the same edge. in general, a diagonal is defined as a sloping line or the slant line , that connects to the vertices of a shape. diagonals are defined as lateral shapes that have sides/ edges and corners.

Kite

Rhombus

Square

Hence, The quadrilaterals have perpendicular diagonals are:

C) Square, Rhombus and Kite.

To know more about diagonals

brainly.com/question/14735698

#SPJ6

Find th equation of the line below.If necessary, use a slash to indicate a division bar..(2,14) (1,7)

Answers

(2,14), \ \ (1,7)\n\n\n First \ find \ the \ slope \ of \ the \ line \ thru \ the \ points \: \n \n m= (y_(2)-y_(1))/(x_(2)-x_(1) ) \n \nm=( 7-14)/(1-2) = ( -7)/(-1)=7 \n \n Use \ point \ form \ of \ a \ line\ with \ one \ point: \n \n y-y_(1) =m(x-x _(1)) \n \nm=7, \ \ x_(1)=2, \ \ y_(1)=14\n\ny-14 =7(x-2)\n\ny = 7 x-14+14 \n\n y=7x
General equation for line:
y=ax+b
Putting those points to equation:
(2,14)
14=a*2+b
(1,7)
7=a+b
From substituting method:
a=7-b
14=(7-b)*2+b
14=14-2b+b
b=0
a=7
y=7x - result

(−2x0y3 )(4x2y4 )+(2y5 )(3xy)2

Answers

(-2*x^0*y^3)*(4x^2y^4)+(2y^5)*(3xy)^2

-2*y^3*4x^2*y^4+2y^5*9*x^2*y^2

-2*y^3*4*x^2*y^4+2*y^5*9x^2y^2

-8x^2y^7+18*x^2*y^7

therefore

\boxed{\boxed{10*x^2*y^7}}

Step-by-step explanation:

Answered

(-2*x^0*y^3)*(4x^2y^4)+(2y^5)*(3xy)^2

-2*y^3*4x^2*y^4+2y^5*9*x^2*y^2

-2*y^3*4*x^2*y^4+2*y^5*9x^2y^2

-8x^2y^7+18*x^2*y^7

therefore

\boxed{\boxed{10*x^2*y^7}}

How many times greater is 700,000 than 70,000

Answers


700,000 is x of 70,000
700,000=x times 70,000
divide both sides by 70,000
10=x

answer is 10 times
10 times greater, if u multiply 70,000 by 10, you 'insert a zero' at the end, making it 700,000, 10 moves the decimal left and right one, just depends on if u multiply or divide

What is P - 15 = 13 -
6p

Answers

It's a simple linear equation in 'P'.

There is only one number that 'P' can be that would make the equation
a true statement.  The number is called the"solution" of the equation. 
Here's one way to find it:

You said that                            P - 15  =  13 - 6P

Add  6P  to each side:          7P - 15  =  13

Add  15  to each side:          7P          =  28

Divide each side by  7 :         P           =  4          
p-15=13-6p
p=28-6p
7p=28
p=4
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