Answer:16
Step-by-step explanation:
Let the number be X
Twice the sum of a number and 5
= 2X+5
Three times the difference of the number and 2
= 3(X - 2)
Since Twice the sum of X and 5 is equal to three times the difference of the X and 2, This means
2(X + 5 )= 3(X - 2)
2X +10 = 3X - 6
3X -2X = 10 + 6 = 16
X = 16
Check
2×(16+5) =3×(16-2)
2×21 = 3×14
42 = 42
Answer:
The correct answer should be 11
Step-by-step explanation:
Let me know if this is wrong and I will correct it if it is.
Answer:
z<2
Step-by-step explanation:
-2(z + 5) + 20 > 6
Subtract 20 from each side
-2(z + 5) + 20 -20 > 6-20
-2(z + 5) > -14
Divide each side by -2 remembering to flip the inequality
-2/ -2(z + 5) < -14/-2
z+5 < 7
Subtract 5 from each side
z+5-5 < 7-5
z<2
Answer:
The length of segment QM' = 6
Step-by-step explanation:
Given:
Q is the center of dilation
Pre-image (original image) = segment LM
New image = segment L'M'
The length of LQ = 4
The length of QM = 3
The length of LL' = 4
The original image was dilated with scale factor = 2
QM' = ?
To determine segment QM', first we would draw the diagram obtained from the given information.
Find attached the diagram
When a figure is dilated, we would have similar shape in thus cars similar triangles.
Segment L'M' = scale factor × length of LM
Let LM = x
L'M' = 2x
Using similar triangles theorem, ratio of their corresponding sides are equal.
QM/LM = QM'/L'M'
3/x = QM'/2x
6x = QM' × x
Q'M' = 6
The length of segment QM' = 6
Given:
The table of values for the function f(x).
To find:
The values
and
.
Solution:
From the given table, it is clear that the function f(x) is defined as:

We know that if (a,b) is in the function f(x), then (b,a) must be in the function
. So, the inverse function is defined as:

And,

...(i)
Using (i), we get

Now,


Therefore, the required values are
and
.