Answer:
1.017
Step-by-step explanation:
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B. The graph would shift down 5 units.
C. The graph would shift up 5 units.
D. The graph would shift 5 units to the left.
Consider the function y=x^2+5x-2 . What would happen to the graph if (x + 5) was substituted in place of the x?
A. The graph would shift 5 units to the right.
B. The graph would shift down 5 units.
C. The graph would shift up 5 units.
D. The graph would shift 5 units to the left.
Option: D is the correct answer.
D. The graph would shift 5 units to the left.
We know that the transformation of a function f(x) to f(x+a) is a shift of the function either to the left or to the right by a units depending on the sign of a i.e. if a>0 then the shift is a units to the left
and if a<0 then the shift is a units to the right.
Here we have:
is converted to:
Here we have a=5>0
Hence, the shift is 5 units to the left.
Answer:
x = 3.69 (3 significant figures)
Step-by-step explanation:
5(x - 6) + 3x = 3/4(2x - 8)
5x - 30 + 3x = 1.5x - 6
5x + 3x - 1.5x = 30 - 6
6.5x = 24
x = 3.6923 (5 significant figures)
x = 3.69 (3 significant figures)
The required Rob has 16 dimes and 24 quarters as he has a total of 40 coins.
The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let x be the number of dimes that Rob has, and y be the number of quarters.
We know that he has a total of 40 coins, so,
x + y = 40 ( 1)
We also know that the value of all his coins is $7.60. The value of x dimes is 10x cents, and the value of y quarters is 25y cents. So,
10x + 25y = 760 ( 2)
Now we can solve for x and y. Let's start by solving equation 1 for one of the variables:
x + y = 40
y = 40 - x
Substitute this expression for y into equation 2:
10x + 25y = 760
10x + 25(40-x) = 760
10x + 1000 - 25x = 760
-15x = -240
x = 16
So Rob has 16 dimes. We can use equation 1 to find the number of quarters:
x + y = 40
16 + y = 40
y = 24
So Rob has 24 quarters.
Therefore, Rob has 16 dimes and 24 quarters.
Learn more about models here:
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Answer:
The regular octagon has rotational symmetry. Since it is comprised of 8 "equal parts", divide 360º/8 to determine the smallest angle of rotation. 360º/8 = 45º.
Step-by-step explanation:
Step-by-step explanation:
Simply you replace X and Y by their values
Given: x=-1 y=-4
10 - (-X)^3 + y^2
=10 + X^3 + Y^2
Now replace X and Y
=10 + (-1)^3 + (-4)^2
=10 - 1 + 16
= 25
Marta borrowed $1,380 for 15 months at 13 percent APR. What will be Marta's monthly payment?
A. $101.17
B. $96.76
C. $117.56
D. $106.95
QUESTION 19
Use the table of interest.
Imported Asset
Andrea borrowed $2,240 at 15 percent APR for 18 months. How much interest will she pay?
A. $336
B. $504
C. $448
D. $490
QUESTION 2
Use this table to find the monthly payment.
Imported Asset
Mark borrowed $5,500 at 11.5 percent for five years. What is his monthly payment?
A. $131.50
B. $173.50
C. $120.95
D. $150.22
Answer:
1) (D)
2) (B)
3) (C)
Step-by-step explanation:
1) Amount borrowed = $1380 (P)
APR =13% or 0.13 (R)
Time = 15 months (T) = 15/12
Interest amount =
=
= $224.25
Total amount = 1380+224.25
= $1604.25
Monthly payment = 1604.25/15 = $106.95 (D)
2) Amount borrowed = $2240
APR = 15% or 0.15
Time = 18 months
Interest =
=
= $504 (B)
3) Amount borrowed = $5500
APR = 11.5% or 0.115
Time = 5 years
n= 12 (compounded monthly)
M =
=
= $120.95 (C)