The first one... 3^10/3^3
Answer:
B.) The graph of m(x) is wider.
Both graphs open upward.
Both have the axis of symmetry x = 0.
The vertex of m(x) is (0, 4); the vertex of n(x) is (0, 0).
Step-by-step explanation:
When the coefficient before x² is greater than 1, the curve of the graph is narrower. When the coefficient is less than 1, the curve of the graph is wider.
When the coefficient in front of x² is positive, the graph opens upwards. When the coefficient is negative, the graph opens downwards.
The axis of symmetry is the "x" value which divides the curve into two equal sections. Their axis of symmetry are both x = 0 because their vertexes (the lowest point of the curve) are both at x = 0.
The vertex can be found by plugging x = 0 into both of the equations and then solving. The resulting value is the "y" position of the vertex.
m(0) = 0.7(0)² + 4 n(0) = (0)²
m(0) = 0 + 4 n(0) = 0
m(0) = 4
Therefore, the vertexes are m(x) = (0,4) and n(x) = (0,0).
Answer:
x = 15
Step-by-step explanation:
The sum of the angles in a triangle is 180º
3x + 5x + 4x = 180
Combine like terms
12x = 180
Divide both sides by 12
x = 15
C = 5x
C = 5 * 15
C = 75º
Answer:
224ft^3
Step-by-step explanation:
l*w*h= volume
Answer:
Step-by-step explanation:
Lets break each problem down before we answer it so it help to understand what we are looking for.
Vocabulary:
Unit Rate: how many units of the first type of quantity corresponds to one unit of the second type of quantity. (12 inches to 1 foot)
Unit Rates:
Problem 1: Top left
A boy delivers 189 papers in 3 hours
Unit Rate: 63 papers delivered per hour
In simple terms, all we are doing is creating a fraction then simplifying it :)
Problem 2: Top right
It costs $8.40 for 12 cupcakes
Unit Rate: For every $0.70, it costs one cupcake
Problem 3: Bottom left
5 miles in 50 minutes
Unit Rate: For every one mile ran, it takes 10 minutes
Problem 4: Bottom right
375 passengers distributed between 5 cars
Unit Rate: For ever 75 passengers, there is one car
Hope this Helps!
