Which binomial is a factor of 9x2 – 64?
Answers
Answer:
Factor:
9x2 – 64
=(3x+8)(3x−8)
3x – 8
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Whats the total area of a covered box with a length of 4 ft, a width of 3 ft, and a height of 6 ft
Answers
you when you put a negative inside the square root signs, it is complex and undifined
find which values you can use
x+3
what values make it 0? (the boundary between negative and possivie)
x+3=0
x=-3
has to be more than or equal to 0 (because √0=0)
x>-3
2nd one
1-x=0
1-x>0
add x both sides
1>x
so
x>-3 and 1>x
1>x and x>-3
1>x>-3
-3<x<1
B is answer
A. Divide 8x^3 by 2x.
B. Divide 2x by 8x^3.
C. Divide 6x by 2x.
D. Divide 2x by 6x.
Answers
B. 8.9 in.
C. 10 in.
D. 9.1 in.
Answers
Answer:
x2 = 8.1 in (Option A)
Step-by-step explanation:
Given:-
- The extension of spring x1 = 9 in
- The weight hanged F1 = 100 lbs
Find:-
How far will it stretch with 90 pounds attached?
Solution:-
- The linear extension x of spring is proportional to the amount of force F applied to the spring.
F = k*x
Where, k = is the proportionality constant called stiffness of the spring.
- We will first determine the spring stiffness k using the given data as follows:
F1 = k*x1
100 = k*9
k = 100 / 9
- Now, we will determine the amount with which the spring stretches x2 when the hanged weight is changed to F2 = 90 lbs. Using the first relation we plug in the value of proportionality constant (stiffness) k.
F = (100 / 9)*x
F2 = (100 / 9)*x2
90 = (100 / 9)*x2
x2 = 810 / 100
x2 = 8.1 in
- The amount of spring stretches when the applied load of weight hanged is changed to F2 = 90 lbs is x2 = 8.1 in.
explanation
------------------------------------------------------------------------
! Inches ! Inches ! Pounds ! Pounds !
! 9 : 10 ! Sum ! ! sum !
-------------------------------------------------------------------------
! 0,9 ! 0,9*1 = 09 ! 10 ! 1*10 = 10 !
------------------------------------------------------------------------\
! 0,9 ! 0.9*2 = 1,8 ! 10 ! 2*10 = 2 0 !
! 0,9 ! ! 10 ! !
-----------------------------------------------------------------------
! 0,9 ! 0,9*3 = 2,7 ! 10 ! !
! 0,9 ! ! 10 ! 3*10 = 30 !
! 0,9 ! ! 10 ! !
-------------------------------------------------------------------------
for every pound falls 0.9 inches
derived unit of proportion :
Answers
The x-intercepts:
0 = x + 4
0 = x - 2
x = -4
x = 2
The vertex:
y = (x + 4)(x - 2)
y = x^2 + 2x - 8
x = -b/2a
If ax^2 + bx + c, then:
a = 1
b = 2
c - 8
x -2/2(1)
x = -1
y = (-1)^2 + 2(-1) - 8
y = -9
The vertex is (-1, -9)
The x-intercepts are -4 and 2
Answer: vertex: (1,-9); intercepts: x=4,-2
Step-by-step explanation:
Just got it wrong on ap3x so I could give y’all the right answer
A)4x^3
B)4x^5y
C)8x^5
D)112x^5y
Answers
With that said, we have to find the greatest common divisor of the coefficients and take the common letter with its minimum exponent.
Greatest common divisor of 16 and 28 is determined by facoring both numbers and taking the common factors raised to the minimum power.
16 = 2^4
28 = 2^2 * 7
So, the common factor with the minimum power is 2^2 =4
The common letter with its minimum power is x^3.
So the GCF is 4x^3, i.e. option A)
Answers
we see that the line intersects the circle in 2 places
2 solutions
A