The domain is the x value of an equation or graph. Since the x is the amount of tomatoes sold, it would have to be any positive value because you can't sell a negative number of tomatoes. (x≥0)
F(g(x))=f(7x-3)=2(7x-3)-5=14x-6-5=14x-11
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:
b) It is a binomial with a degree of 3.
Step-by-step explanation:
We need to find about which is true about the polynomial –8m3 + 11m from the given choices.
There are two terms so it is binomial.
Highest exponent on variable m is 3 so degree is 3.
Correct matching choice is "It is a binomial with a degree of 3."
Hence final answer is choice "b) It is a binomial with a degree of 3."
First make the fractions into decimals so it's easier to compare them.
1/2 ⇒ 0.5
2/3 ⇒ 0.66
2/5 ⇒ 0.4
3/4 ⇒ 0.75
Now it's easy to order the numbers from least to greatest.
First order the decimals.
0.4, 0.5, 0.66, 0.75
Now order them with their corresponding fractions.
2/5, 1/2, 2/3, 3/4 is your answer.
