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adelina 88 [10]
4 years ago
5

Write the polynomial function, in standard form, that has zeros -2, 5, and 0.

Mathematics
1 answer:
Semmy [17]4 years ago
8 0

Answer:

f(x) = x³ - 3x² - 10x

Step-by-step explanation:

Given that the zeros are x = - 2, x = 5 and x = 0 then the factors are

(x + 2), (x - 5) and (x - 0) = x

The polynomial is the product of it's factors, thus

f(x) = x(x + 2)(x - 5) ← expand factors using FOIL

     = x(x² - 3x - 10) ← distribute parenthesis by x

     = x³ - 3x² - 10x

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Solve for w.<br><br> 5w + 9z = 2z + 3w
DIA [1.3K]
When solving for a variable, you get the variable you're trying to solve for on one side and everything to the opposite of that variable.

We have the equation <span>5w + 9z = 2z + 3w.

Usually the variable we're solving for we want on the left. But it's fine to have it on the right side, too.

Let's subtract 9z from the left-hand side. That way, the 5w will be alone on the left-hand side.

And remember, anything we do on one side we do to the other side.

</span><span>5w + 9z - 9z = 2z + 3w - 9z
</span><span>5w = -7z + 3w

The 3w term on the right-hand side needs to be removed. So, subtract each side by 3w.

5w - 3w = -7z + 3w - 3w
2w = -7z

Now, we need to divide each side by 2 to see what the w variable is equal to.

2w / 2 = -7z / 2
w = -7z / 2 or w = -3.5z

So, w is equal to -3.5z.

</span>
7 0
3 years ago
Read 2 more answers
Jeffrey currently has an account balance of $1,565.00. His initial deposit on the account was $625 and it earned 4.7% simple int
hram777 [196]
A = P(1 + rt)

1565 = 625(1 + (0.047)(t))

2.504 = 1 + 0.047t

1.504 = 0.047t

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I hope this is correct! (Sorry I haven't done simple interest in a while.)
3 0
3 years ago
How much cashews at $1.58 per pound must be mixed with walnuts that cost 78 cents per pound to make a mixture of 40 pounds of nu
Likurg_2 [28]

Number of pounds of cashews is 36 pounds and number of pounds of walnuts is 4 pounds.

Step-by-step explanation:

  • Step 1: Given details are cost of cashews = $1.58, cost of walnuts = 78 cents = $0.78, total weight of nuts = 40 pounds, cost of nuts per pound = $1.50
  • Step 2: Let number of pounds of cashews to be mixed be C, then number of pounds of walnuts will 40 - C. Form equation with these variables.

⇒ 1.58 C + (40-C) 0.78 = 40 × 1.50

⇒ 1.58 C + 31.2 - 0.78 C = 60

⇒ 1.58 C - 0.78 C = 60 - 31.2

⇒ 0.8 C = 28.8

⇒ C = 36 pounds

  • Step 3: Calculate number of pounds of walnuts

⇒ Number of pounds of walnuts = 40 - C = 4 pounds

5 0
3 years ago
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Help im in k12 9th grade
dem82 [27]

When factoring find 2 numbers that when added together equal the middle value and when multiplied equal the last value.


min this problem the middle value is 7 and the last value is 10


5 + 2 = 7 and 5 x 2 = 10


The answer is: (x+2)(x+5)

4 0
2 years ago
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What is the product of -2x^3 + x -5 and x^3 – 3x?
lana66690 [7]
(-2x^3 +x -5) * (x^3 -3x)
= x^6*(-2*1) +x^4*(-2*-3 +1*1) +x^3*(-5) +x^2*(-3) +x(-5*-3)
= -2x^6 +7x^4 -5x^3 -3x^2 +15x
8 0
4 years ago
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