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N76 [4]
3 years ago
12

In a third area, the number of species of wildflowers is expected to grow according to the following description. “The initial a

mount is 1,500 and for each decade moving forward the count will increase by 200.
Is this linear or exponential? Explain.
Mathematics
1 answer:
ikadub [295]3 years ago
7 0

Answer:

Linear

Step-by-step explanation:

If you graph this, you start at 1500 on the y-axis. Every time the x-axis increases by 1, the y-axis increases by 200. This forms a straight line, making it exponential since it increases by a constat amount.

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We want to multiply the monomial 2x by the monomial 2x^2.

Remember that to multiply monomials we need to use the laws of exponents; in this case, the law for multiplying powers with the same base. The rule says that, when you multiply powers of the same base, you just need to add the exponents: (a^m)(a^n)=a^{m+n}, (x^2)(x^4)=x^{2+4}=x^6. Also, is worth pointing out that the exponent of a variable with no exponent is 1: x=x^1.

Remember that we also need to multiply their coefficients , which are the numbers that multiply the variables; again, variables with no numbers have a coefficient of 1, so x=1x. Multiply coefficients is easy, you just need to multiply them as you usually do with everyday numbers.

Let's apply all of that to our multiplication:

(2x)(x^2)=(2x^1)(1x^2)=2*1x^{1+2}=2x^3

We can conclude that 2x times x squared is 2x cubed.



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