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Veronika [31]
3 years ago
9

Multiply.

Mathematics
1 answer:
Kamila [148]3 years ago
7 0
Expand the following:
(x - 6) (3 x^2 + 10 x - 1)
Hint: | Multiply out (x - 6) (3 x^2 + 10 x - 1).
 | | | | x | - | 6
 | | 3 x^2 | + | 10 x | - | 1
 | | | | -x | + | 6
 | | 10 x^2 | - | 60 x | + | 0
3 x^3 | - | 18 x^2 | + | 0 x | + | 0
3 x^3 | - | 8 x^2 | - | 61 x | + | 6:
Answer:  3 x^3 - 8 x^2 - 61 x + 6 Thus B:
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On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapid
adelina 88 [10]

Answer:

          L(t)=7600(5)^{t/2}

Explanation:

Amend the typos for better understanding:

<em />

  • <em>On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapidly increases as the trees blossom. The locust population increases by a factor of 5 every 2 days, and can be modeled by a function, L, which depends on the amount of time, t (in days). Before the first day of spring, there were 7600 locusts in the population. Write a function that models the locust population t days since the first day of spring.</em>

<em />

<h2>Solution</h2>

A function that grows with a constant factor is modeled by an exponential function of the kind:

                                      F(x)=A\cdot (B)^x

Where A is the initial value, B is the constant growing factor, and x is the number of times the growing factor applies.

Since the population increases by a factor of 5 every 2 days, the power x of the exponential function is t/2, and the factor B is 5.

The initial popultaion A is 7600.

Thus, the function that models the locust population t days since the first day of spring is:

             L(t)=7600(5)^{t/2}

6 0
3 years ago
Table show step by step how do you simplify the algebraic expression 3(x-5)+4x. <br>Justify step 4​
ale4655 [162]
<h3>Answer: Commutative Property (choice C)</h3>

===================================================

Explanation:

Here are all of the justifications for each step

  • Step 1. None needed. This is the original expression
  • Step 2. Distributive property
  • Step 3. Multiply  (the 3 and 5 multiply to 15)
  • Step 4. Commutative property. Specifically, this is the commutative property of addition which allows us to add any two numbers in any order we want. In this case, the  -15 and 4x terms swap places.
  • Step 5. Associative property. The parenthesis group the first two terms away from the third term.
  • Step 6. Combine like terms. Both 3x and 4x have an x only so they are like terms that combine to 7x. You can think of it as 3+4 = 7, then you just tack an x onto everything to get 3x+4x = 7x.
6 0
3 years ago
Plz help will give crown
lys-0071 [83]

Answer:

w < 7

Step-by-step explanation:

Since the inequality is an OPEN circle, that means the sign is < or >

Since the sign is going to the left that means it's < or ≤

The one that has both of these effects is <

Since the sign starts at 7, the inequality is w < 7

8 0
2 years ago
Read 2 more answers
What is the predecessor of 100000​
krok68 [10]

Answer:

99,999

Step-by-step explanation:

8 0
2 years ago
Which equation represents the partial sum of the geometric series?
user100 [1]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
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