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gizmo_the_mogwai [7]
3 years ago
12

Pick the expression that matches this description:

Mathematics
1 answer:
Katen [24]3 years ago
6 0

Option C is correct because it is a trinomial with a leading coefficient of 3 and a constant term of -5

Step-by-step explanation:

We need to pick the expression that matches this description:

A trinomial with a leading coefficient of 3 and a constant term of -5

First lets explain the terms:

Trinomial: a polynomial having 3 terms

Leading coefficient: The constant value of variable having highest power

Constant term: Having no variable and value cannot be changed.

Now using these definitions, we can choose the correct option

Option A is incorrect because the expression has 2 terms

Option B is incorrect because it is a trinomial but the leading coefficient is -5 and not 3 constant term is 3 and not -5.

Option C is correct because it is a trinomial with a leading coefficient of 3 and a constant term of -5

Option D is incorrect because it is a trinomial but the leading coefficient is 3 but constant term is 1 and not -5.

So, Option C is correct.

Keywords: Algebra

Learn more about Algebra at:

  • brainly.com/question/12700460
  • brainly.com/question/4934417

#learnwithBrainly

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For the inverse variation equation p = StartFraction 8 Over V EndFraction, what is the value of V when p = one-half?
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Answer:

V=16

Step-by-step explanation:

We are given that an inverse variation

p=\frac{8}{V}

We have to find the value of V when p=1/2

To find the value of V we will substitute the value of p

Substitute the value of p

Then, we get

\frac{1}{2}=\frac{8}{V}

\frac{V}{2}=8

Using multiplication property of equality

V=8\times 2

Using multiplication property of equality

V=16

Hence, the value of V=16

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In three hours, manufacturer z can make b ball bearings. manufacturer y can make b ball bearings in 4 hours. manufacturer x can
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A kangaroo hops 2 kilometers in 3 minutes. At this rate:
nikitadnepr [17]
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3 0
3 years ago
A company’s profit in dollars is modeled by the equation p(x) = –0.5x2 + 100x, where x represents the number of units sold.
serg [7]

Answers:

a. The company needs to sell 100 units to reach the maxmum profit.

b. The company's maximum profit is $5,000.

Solution:

a. How many unit does the company need to sell to reach the maximum profit?

p(x)=-0.5x^2+100x

This is a quadratic equation, and its graph is a parabola vertical (because the veriable "x" is square). Comparing with the general form:

p(x)=ax^2+bx+c; a=-0.5, b=100, c=0

a=-0.5<0 (negative), then the parabola opens downward, and it has a maximimun value (maximum profit) at its vertex.

We can find the abscissa of the vertex (units that the company needs to sell to reach the maximum profit using the following formula:

x=-b/(2a)

Replacing b by 100 and a by -0.5 in the formula above:

x=-100/[2(-0.5)]

x=-100/(-1)

x=100

The company needs to sell 100 units to reach the maximum profit.


b. What's the company's maximum profit?  

To determine the maximum profit we substitute the value of "x" obrained in part "a" in the quadratic equation:

x=100→p(100)=-0.5(100)^2+100(100)

p(100)=-0.5(10,000)+10,000

p(100)=-5,000+10,000

p(100)=5,000

The company's maximum profit is $5,000.

6 0
3 years ago
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