<h3>
Answer: y - 1 = 3(x - 2)</h3>
Explanation:
The point-slope form is this general template
y - y1 = m(x - x1)
We replace m with the given slope 3, so we get to this
y - y1 = 3(x - x1)
Then replace the given point (x1, y1) with (2, 1) to end up with
y - 1 = 3(x - 2)
Answer:
La longitud = 7 metros
La anchor = 10.5 metros
Step-by-step explanation:
La fórmula para el perímetro de un rectángulo es
P = 2L + 2W
L = longitud
A = ancho
P = 35 metros
se sabe que el doble de su ancho es igual a 3 veces su largo.
2A = 3L
Ancho = 3L / 2 = 1.5L
Sustituimos 1.5L por W
35 = 2 L + 2 (1.5 L)
35 = 2L + 3L
35 = 5 litros
L = 35/5
L = 7 metros
Por lo tanto, la longitud = 7 metros
Recuerda
A = 1.5 L
A = 1.5 × 7
A = 10.5 metros
La anchor = 10.5 metros
Answer:
The relation is not a function
The domain is {1, 2, 3}
The range is {3, 4, 5}
Step-by-step explanation:
A relation of a set of ordered pairs x and y is a function if
- Every x has only one value of y
- x appears once in ordered pairs
<u><em>Examples:</em></u>
- The relation {(1, 2), (-2, 3), (4, 5)} is a function because every x has only one value of y (x = 1 has y = 2, x = -2 has y = 3, x = 4 has y = 5)
- The relation {(1, 2), (-2, 3), (1, 5)} is not a function because one x has two values of y (x = 1 has values of y = 2 and 5)
- The domain is the set of values of x
- The range is the set of values of y
Let us solve the question
∵ The relation = {(1, 3), (2, 3), (3, 4), (2, 5)}
∵ x = 1 has y = 3
∵ x = 2 has y = 3
∵ x = 3 has y = 4
∵ x = 2 has y = 5
→ One x appears twice in the ordered pairs
∵ x = 2 has y = 3 and 5
∴ The relation is not a function because one x has two values of y
∵ The domain is the set of values of x
∴ The domain = {1, 2, 3}
∵ The range is the set of values of y
∴ The range = {3, 4, 5}
Answer:
Please check the explanation.
Step-by-step explanation:
We know the equation
y = kx
k = y/x
where k is the proportionality constant
so,
First ratio can be calculated as
Miles = 45
Hours = 3/4
The ratio = 45 / (3/4)
= (45 × 4) / 3
= 180/3
= 60
Thus, the proportionality constant = 60
Thus, the remaining ratios can be calculated as:
The Pair (135, Hours)
135/Hours = 60
Hours = 135 / 60
= 27/12
= 9/4
= 2.25
Thus, the pair is (135, 2.25)
The Pair (Miles, 3)
Miles/3 = 60
Miles = 60×3
= 180
The Pair (90, Hours)
90/Hours = 60
Hours = 90 / 60
= 3/2
= 1.5
Thus, the complete table:
Miles 45 135 180 90
Hours 3/4 9/4 3 3/2
Verification:
Miles / Hour = 45/(3/4) = 60
Miles / Hour = 135 / 2.25 = 60
Miles / Hour = 180 / 3 = 60
Miles / Hour = 90 / 1.5 = 60
Answer:
D is the correct answer
Step-by-step explanation:
Given:
Unit base price: $435
Credit Card interest rate, i = 9.4% compounded monthly; i = 0.00783/month comp monthly
n = 1.5 years = 18 months
sales tax = 8.51%
First, determine the actual price of the unit by adding the sales tax to the base price of the unit:
$435 * (1 + 0.0851)
Actual price = $472.0185
So, the total amount paid by Brian should be higher than the actual price since he used his credit card. Use the formula from economics:
F = P (1+i)^n
F = $507.96
Therefore, the total amount paid by Brian is $507.96.
(Hope this helps can I pls have brainlist (crown) ☺️)