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vlada-n [284]
4 years ago
5

Use the distributive property to write an equivalent expression. 9(x + 10)

Mathematics
1 answer:
Ne4ueva [31]4 years ago
7 0

Answer:

9x + 90

Step-by-step explanation:

Given

9(x + 10) ← multiply each term in the parenthesis by 9 )

= 9x + 90

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The Mulder Farm has 600 acres of land allotted for raising corn and wheat. The cost to cultivate corn is $40 per acre. The cost
FrozenT [24]

Answer: Corn = 200 acres

Wheat= 400 acres

Step-by-step explanation:

Let the number of acres of corn = c

Let the number of acres of wheat = w

The Mulder Farm has 600 acres of land allotted for raising corn and wheat. This will be:

c + w = 600

c = 600 - w

Cultivation cost equals:

= 40c + 25w = 18000

Since c = 600 - w, we slot it into the equation

40c + 25w = 18000

40(600 - w) + 25w = 18000

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Collect like terms

24000 - 18000 = 40w - 25w

6000 = 15w

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w= 400

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c = 200

200 acres of corn should be planted

4 0
3 years ago
What is the answer please.... need help
mina [271]

Answer:

f\left(x\right)=x^3-6x^2+3x+10 is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.

Step-by-step explanation:

Given the function

f\left(x\right)=x^3-6x^2+3x+10

As the highest power of the x-variable is 3 with the leading coefficients of 1.

  • So, it is clear that the polynomial function of the least degree has the real coefficients and the leading coefficients of 1.

solving to get the zeros

f\left(x\right)=x^3-6x^2+3x+10

0=x^3-6x^2+3x+10              ∵  f(x)=0

as

Factor\:x^3-6x^2+3x+10\::\:\left(x+1\right)\left(x-2\right)\left(x-5\right)=0

so

\left(x+1\right)\left(x-2\right)\left(x-5\right)=0    

Using the zero factor principle

if  ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

x+1=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0

x=-1,\:x=2,\:x=5

Therefore, the zeros of the function are:

x=-1,\:x=2,\:x=5

f\left(x\right)=x^3-6x^2+3x+10 is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.

Therefore, the last option is true.    

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