Q1: vertical shift of down 4: Indicated by the subtraction of 4 at the end of the function, and a horizontal shift of 2 unit left as indicated by the addition of 2 to the independent variable "x"
Q2: To stretch a function, you can just multiply it by the desired factor. Thus, the function g(x)=
Q3: g(x) =
Note that the initial point (2,0) has shifted down 1 and to the right 2. Subtracting 2 from x takes care of the horizontal shift of 2 to the right, and subtracting 1 at the end of the function produces a vertical shift of down 1.
That number would be -3.
For the purpose of solving this, let that number be x. Now write out the front side of the equation:
2x (twice a number) - 5 (five less than)
2x - 5
Now write out the other side
1/2 (one half of) (3x - 13) (The difference of 3 times the number and 13)
1/2(3x - 13)
Now set the two sides equal to each other and solve
2x - 5 = 1/2(3x - 13) ----> multiply both sides by 2
4x - 10 = 3x - 13 ----> subtract 3x from both sides
x - 10 = -13 -----> add 10 to both sides
x = -3
Answer:
7.405882353 years
Step-by-step explanation:
Simple interest is
A = P(1+rt)
Where A is the amount in the account
P is the principle invested
r is the rate and
t is the time
6593.75 = 5000( 1+ .0425*t)
Divide each side by 5000
6593.75/5000 = ( 1+ .0425*t)
1.31475 = ( 1+ .0425*t)
Subtract 1 from each side
.31475 = .0425t
Divide each side by.0425
.31475/.0425 = .0425t/.0425
7.405882353 = t
7.405882353 years
14.87
Step-by-step explanation:
use the Pythagorean theorem
a^2+b^2=c^2
C being the longest side of the triangle
14^2+5^2=C^2
196+25=C^2
221=C^
find the square root of 221
C=14.866
rounded to nearest tenth
C=14.87
Answer:
~109.3
Step-by-step explanation:
23 x 9.5 x 1/2 =
218.5 x 1/2 = 109.25
That rounds to 109.3 square yards
Hope that helps!