The correct answer is:
[B]: "
" .
__________________________________________________________Consider choice [A]: 
;
=
;
= 2 ; "2 ≠ -2" ; so we can rule out: "Choice [A]" .
__________________________________________________________Consider choice [B]: ;
=
;
= "-2" ; Yes!
→ Let us proceed with the final answer choice ;
__________________________________________________________Consider choice [C]:
;
=
;
= 2 ; "2 ≠ -2" ; so we can rule out: "Choice [C]" .
__________________________________________________________The correct answer is:
[B]: "
" .
__________________________________________________________
Definition: A function is "even" when f(x) = f(−x) for all x.
Geometrically speaking, the graph face of an even function is symmetric with respect to the y-axis, meaning that its graph remains unchanged after reflection about the y-axis.
If point (6, 8) is one the points on the graph of f(x), then f(6)=8 and since function is even, you can state that f(-6)=f(6)=8. This means that point (-6,8) must also be a point on the graph. Geometrically it means that the output of a negative x-value and its opposite is the same.
Answer: correct choice is A.
The equation of a parabola that opens up and has the following x intercepts (-3,0) and (4,0) is 
<h3><u>Solution:</u></h3>
We have to find the equation of a parabola that opens up and has the following x intercepts (-3, 0) and (4, 0)
x-intercepts of the parabola are (−3, 0) and (4, 0)
So, we can form an equation:
Also x = 4
x – 4 = 0
x – 4 = 0 is another factor of quadratic equation.
The quadratic function is:
Hence, the equation of the parabola is
Answer: 48 sweets
Step-by-step explanation:
Let the total number of sweets be X
Thereforee, 5X/11 + 6X/11 = X.
When Sarah ate 16 sweets, the ratio of sweets left is 1 : 2.
[(5X/11) - 16] / [6X/11] = 1/2.
Cross multiply,
10X/11 - 32 = 6X/11
10X/11 - 6X/11 = 32
4X/11 = 32
4X = 32 × 11
4X = 352
X = 352/4
X = 88
therefore, sarah = 5X/11
= (5 × 88) ÷ 11 = 440/11 = 40
Henry = 6X/11
= (6 × 88) ÷ 11
= 48
Therefore, the original ratio was:
5 : 6 = 40 : 48
Sarah ate 16 sweets, her balance is:
40 – 16 = 24
Sarah : Henry = 24:48 = 1:2
Henry has 48 sweets.
Answer:
the ans:
Step-by-step explanation:
The percentage increase in the perimeter of the rectangle is 6.67 %.
Percentage :
A percentage is a number or ratio that can be expressed as a fraction of 100.
The length of the rectangle is increased by 10% ,
10%
If initial length of rectangle is 10 then new length of rectangle will be 11 unit.
5 %
If initial width of rectangle is 20 then new width of rectangle will be 21 unit.
Initial perimeter
New perimeter
the percentage increase in the perimeter of the rectangle is,
