Answer:
B
Step-by-step explanation:
3x + 5 = 29
3x = 24
x = 8
Answer:
5
Step-by-step explanation:
200% × x = 20. x = 10. 50% of a number = 50% × 10 = 50÷100×10 = 0.5 × 10 = 5.
Well, multiplying a negative and a positive together is just the same thing as multiplying normal numbers together however, the final product is a negative number.
4 * (-3) = -12
4 * (-2) = -8
4 * (-1) = -4
Answer:
1. 2w + 3p = 7.05
2. p = 1.35
w = 1.50
p = 1.35
- The solution means that a bottle of water costs $1.50 and a bag of pretzels costs $1.35
Explanation
1) Translate the verbal language to algegraic language to create the equations which you can solve.
w = cost of one bottle of water
p = cost of one bag of pretzels
the cost of 2 bottles of water: 2w
the cost of 3 bags of pretzels: 3p
the cost of 2 bottles of water and 3 bags of pretzels is $7.05:
2w + 3p = 7.05 Equation 1
the cost of a bag of pretzels is $ 1.35: p = 1.35 Equation 2
1. 2w + 3p = 7.05
2. p = 1.35
2) Solve the system using substitution method: substitute p with 1.35 in the first equation:
3) Steps to solve the equation:
- Simplify: 2w + 4.05 = 7.05
- Subtract 4.05 from both sides: 2w = 3
- Divide both sides by 2: w = 3/2 = 1.50
Answer: you have found the costs of both a bottle of water and a bag of pretzels, which, repectively, are $ 1.50 and $ 1.35
Answer:
Step-by-step explanation:
Let the exponential function given in the picture is,
f(x) = a(b)ˣ
Here, a = Initial value
b = Base value
x = Exponent
Since, the graph passes through the points (0, 1) and (1, 3)
For (0, 1),
1 = a(b)⁰
a = 1
For (1, 3),
3 = 1(b)¹
b = 3
Therefore, equation of the given function will be,
f(x) = (3)ˣ
Therefore, Initial value = 1
Base = 3
Asymptote (Horizontal) → y = 0
Vertical asymptote → None
Domain → (-∞, ∞) Or {x | x ∈ R}
Range → (0, ∞) Or {y | y > 0}
Therefore, answers given by Juan are incorrect.