Answer:
x = 67°
Step-by-step explanation:
The 2 base angles x are congruent , then
x = = = 67°
Answer:
1 Hot dog = $2.50; 1 Nacho = $3.00
Step-by-step explanation:
Let x be the cost of 1 hotdog
let y be the cost of 1 nacho
6
x
+
3
y
=
24 (Equation 1)
8
x
+
1
y
=
23 (Equation 2)
Divide equation 1 by 3
2
x
+
y
=
8 (Equation 3)
Subtract Equation 3 from Equation 2
8
x
−
2
x
+y
−
y
=
23
−
8
Simplifying
6
x
=
15
1 Hot dog = $2.50
Substitute the value calculated above into Equation 1
15
+
3
y
=
24
3
y
=
9
1 Nacho = $3.00
Answer:
It seems your question is not complete, but i will asume it is like the one in the image.
Step-by-step explanation:
Answer at the image
Answer: The first and last options are correct
Explanation:
The recursive formula is written in terms of the previous term of the sequence. From the information given,
the Arnold's are going to save a nickel on the first day of the month and double the amount each day of the month. Thus, the recursive formula would be
where
an - 1 defines a previous term
To write the explicit formula, we would apply the formula for finding the nth term of an arithmetic sequence which is expressed as
An = ar^(n - 1)
where
a is the first term of the sequence
n is the number of terms
r is the common ratio between consecutive terms
Thus,
r = 2 because the amount is doubling each day
n = number of days
a = value of 1 nickel = $0.05
By substituting these values into the formula,
the explicit formula is
A(n) = 0.05(2)^n - 1
Answer: c) 3
<u>Step-by-step explanation:</u>
Plug in y = -9 and the given x-value to see if it makes a true statement.
a) -4.5 falls in the piecewise function x < -3 --> y = -x
y = -x
-9 = -(-4.5)
-9 = 4.5 FALSE
b) -3 falls in the piecewise function -3 ≤ x ≤ -2 --> y = 2x
y = 2x
-9 = 2(-3)
-9 = -6 FALSE
c) 3 falls in the piecewise function x > -2 --> y = -x²
y = -x²
-9 = -(-3)²
-9 = -9 TRUE
d) 9 falls in the piecewise function x > -2 --> y = -x²
y = -x²
-9 = -(9)²
-9 = -81 FALSE