Answer:
see below
Step-by-step explanation: 5 20 15 28
3x + y = 23
3x – 2y = 8
O I should add, and the Xs will be eliminated. 3x + 3x = 6x NOT eliminated
O I should add, and the Ys will be eliminated. y + -2y = -y NOT eliminated
O I should subtract, and the Xs will be eliminated. 3x - 3x = 0x X is eliminated
O I should subtract, and the Ys will be eliminated. y - -2y = y NOT eliminated
Answer: Three Dollars
Step-by-step explanation: The factors and prime factorization of 12 and 15. The biggest common factor number is the Greatest Common Factor number. So the greatest common factor 12 and 15 is 3.
If you think about it it is just greatest common factor.
the factors of 12 are 1, 2, 3, 4, 6, 12
The factors of 15 are 1, 3, 5, 15
the highest number they have in common is 3
so the answer to your question is three.
Answer:
The integral symbol in the previous definition should look familiar. We have seen similar notation in the chapter on Applications of Derivatives, where we used the indefinite integral symbol (without the a and b above and below) to represent an antiderivative. Although the notation for indefinite integrals may look similar to the notation for a definite integral, they are not the same. A definite integral is a number. An indefinite integral is a family of functions. Later in this chapter we examine how these concepts are related. However, close attention should always be paid to notation so we know whether we’re working with a definite integral or an indefinite integral.
Integral notation goes back to the late seventeenth century and is one of the contributions of Gottfried Wilhelm Leibniz, who is often considered to be the codiscoverer of calculus, along with Isaac Newton. The integration symbol ∫ is an elongated S, suggesting sigma or summation. On a definite integral, above and below the summation symbol are the boundaries of the interval, \left[a,b\right]. The numbers a and b are x-values and are called the limits of integration; specifically, a is the lower limit and b is the upper limit. To clarify, we are using the word limit in two different ways in the context of the definite integral. First, we talk about the limit of a sum as n\to \infty . Second, the boundaries of the region are called the limits of integration.
We call the function f(x) the integrand, and the dx indicates that f(x) is a function with respect to x, called the variable of integration. Note that, like the index in a sum, the variable of integration is a dummy variable, and has no impact on the computation of the integral.
his leads to the following theorem, which we state without proof.
Step-by-step explanation:
36.08 = 8.8t
The distance is a positive because it shows the total distance traveled
36.08 = 8.8t
4.1=t
Answer:
a. (1,2), b. (1, 0)
Step-by-step explanation:
a.
b.
