Answer:
The answer to your question is (1, -2)
Step-by-step explanation:
See the graph below, in the graph, the solution is circled (1, -2). The solution is the point where the lines cross.
To check the answer, let's solve the system using algebra.
y = 2x - 4
y = 1 - 3x
2x - 4 = 1 - 3x
2x + 3x = 1 + 4
5x = 5
x = 5/5
x = 1
Find y by substitution
y = 2(1) - 4
y = 2 - 4
y = -2
Solution
(1, -2)
Answer:
√97 ≈ 9.85 units
Step-by-step explanation:
The distance formula can answer this question.
d = √((x2 -x1)^2 +(y2 -y1)^2) = √((-3-6)^2 +(-2-2)^2) = √(81 +16) = √97
The distance between the points is √97 ≈ 9.85 units.
Answer:
g(x) = |x+3| - 5
Step-by-step explanation:
Let y = f(x)
⇒y = |x+3|
When y is replaced by Y + k, the graph of y = f(x) shifts k units down
⇒ y replaced by Y + 5 translates the graph of y = f(x) 5 units down
∴ Y = g(x) is represented by Y + 5 = |x+3|
⇒ Y = |x+3| - 5
or <u>g(x) = |x+3| - 5</u>
Answer:
Yes.
Step-by-step explanation:
A fraction is a part of a whole number, so yes a fraction is always less than a whole number, unless it's a mixed number. A mixed number is when there is a whole number before the fraction.
Plaz mark brainliest. I just need 2 more to raise my level.
Answer:
18 kilograms of drink A and 6 kilograms of drink B
Step-by-step explanation:
Let x equal the amount of Drink A
.04x + .08(24-x) = .05(24) Multiply through by 100 to clear the decimal
4x + 8(24-x) = 5(24)
4x + 192 - 8x = 120 Combine like terms
-4x + 192 = 120 Subtract 192 from both sides
-4x = -72 Divide both sides by -4
x = 18 This is the number of kilograms for drink A.
24-18= 6. This is the amount for Drink B
