Answer:
D, E
Step-by-step explanation:
(4x - 1) ^2 = 11 => (take square roots of both sides)
4x - 1 = +\- sqrt(11) => (Add 1 to both sides)
4x - 1 + 1 = 1 +\-sqrt(11) =>
4x + 0 = 1 +\- sqrt(11) => (Divide both sides by 4)
x = ( 1 +\- sqrt(11) ) /4
Which are choices D and E
ok, i will help you.
For the first equation, we have points
(-1, -4)
and
(1, -1)
we also know the y-intercept is
(0, -2)
we can make systems of equations to solve for the equation of this exponiental function
y=ab^x
-1=ab
-2=a*1
a=-2
-1=-2(b)
b=1/2
The exponiental fufnction here is y=(-2)(1/2)^x
2nd equation
(0, 6)
(1, 12)
12=ab
6=a*b^0=6
a=6
12=6(b)
b=2
2nd equation is
y=6(2)^x
Answer:
100% of the 2nd monthly payment go toward the repayment of principal.
Step-by-step explanation:
The loan taken is the Principal which is mentioned as $72,500 with interest at a nominal rate of 20%. Firstly, it is important to understand that nominal rate means <em>non-compounding </em>rate. Simply put will be a "<em>one-time charged" </em>rate on the loan. Since this is given as 20% of the Principal. It is calculated thus: 
× 
= $14,500. So the interest on the loan is $14,500. Added to the Principal the total amount to be paid back by the company becomes: $72,500 + $14,500 = $87,000. To pay back this amount at equal end-of-month installments in 1 year (12 months), we divide the total amount by 12. i.e 
= $7250. This means, the monthly payment will be $7,250. Since the monthly payment pays only 10% of the initial principal $72,500. By the second month only 20% of the Principal would have been paid. So all of the monthly payment will go towards repaying the principal
The awnser is 5(6) and 5(6)=30
Answer:
Question 6: 26 crowns plus 15 ribbons.
Question 7: 10 footballs plus 42 basketballs.
Step-by-step explanation:
Question 6 explanation: Since the expression is 22 crowns plus 13 ribbons plus 2 ribbons plus 4 crowns, you can think of the different items as variables in an equation. Picture crowns are the variable 
, and ribbons as the variable 
, this will help you solve the equation in an easier way that allows you to comprehend each step better. The equation will now be 
, in order to find how many (crowns) and (ribbons) you have, you need to combine like terms in the expression. In other words, add the terms with the variable together, and add the terms with the variable together. Simplified, the equation will be 
. Since the variables and were used to represent crowns and ribbons respectively, that means the correct answer is 26 crowns plus 15 ribbons.
Question 7 explanation: You can use the same method as you did in question 6, think of footballs and basketballs as the variables and respectively. The equation will be 
= 
. Since the variable was used to represent footballs and the variable was used to represent basketballs, that means the correct answer would be 10 footballs plus 42 basketballs.
