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Nimfa-mama [501]
2 years ago
8

A large cheese pizza costs 18 dollars.. Each topping you add on costs $1.50

Mathematics
2 answers:
Ilia_Sergeevich [38]2 years ago
7 0

Answer:

1.50c +18

Step-by-step explanation:

The constant price is 18 dollars, which never changes and for every topping you get, it costs $ 1.50. Since we don't know how many extra toppings are added we write 1.50c.  This shows that the price will be determined by the number of extra toppings added. If you got no toppings, sub in 0 for c to get $ 18 .

nydimaria [60]2 years ago
4 0

Answer:

1.50c+18

Step-by-step explanation:

The base price of the large cheese pizza is $18.  Since we don't know how many extra toppings are added we write 1.50c.  This shows that the price will be determined by the number of extra toppings added.  Since the question asked for an expression and not an equation, there is no equals sign.

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Determine whether the equation x^3 - 3x + 8 = 0 has any real root in the interval [0, 1]. Justify your answer.
nikdorinn [45]

Answer:

The equation does not have a real root in the interval \rm [0,1]

Step-by-step explanation:

We can make use of the intermediate value theorem.

The theorem states that if f is a continuous function whose domain is the interval [a, b], then it takes on any value between f(a) and f(b) at some point within the interval. There are two corollaries:

  1. If a continuous function has values of opposite sign inside an interval, then it has a root in that interval. This is also known as Bolzano's theorem.
  2. The image of a continuous function over an interval is itself an interval.

Of course, in our case, we will make use of the first one.

First, we need to proof that our function is continues in \rm [0,1], which it is since every polynomial is a continuous function on the entire line of real numbers. Then, we can apply the first corollary to the interval \rm [0,1], which means to evaluate the equation in 0 and 1:

f(x)=x^3-3x+8\\f(0)=8\\f(1)=6

Since both values have the same sign, positive in this case, we can say that by virtue of the first corollary of the intermediate value theorem the equation does not have a real root in the interval \rm [0,1]. I attached a plot of the equation in the interval \rm [-2,2] where you can clearly observe how the graph does not cross the x-axis in the interval.  

6 0
2 years ago
Select the correct answer.
gizmo_the_mogwai [7]

Answer:

Factors are (x-1), (x+1), and (x+2).

Step-by-step explanation:

g(x)=x^{3}+2x^{2} -x-2\\g(x)=(x - 1) (x + 1) (x + 2)

7 0
2 years ago
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Digiron [165]
The answer is 51 liters.

Since they have a direct relationship, set up a direct proportion.
17/476=x/1428
476x3 is 1428 so
17x3=51
3 0
3 years ago
The circumference of a circle is 3.14 inches.<br> What is the area of the circle?
SVETLANKA909090 [29]

Answer:

A = .785 inches ^2

Step-by-step explanation:

C = pi *d

We know the diameter = 2*r

C = pi*2*r

Substituting pi = 3.14 we can solve for r

3.14 = 2*pi*r

3.14 = 2*3.14 *r

Divide by 3.14 on each side

3.14/3.14 = 2*3.14 *r/3.14

1 = 2r

Divide by 2

1/2 =2r/2

1/2 =r

Now we can find the area

A = pi *r^2

A = 3.14 *(1/2)^2

A= 3.14 *1/4

A = .785 inches ^2

6 0
3 years ago
11p + 2(p + 3) and 1 + p(13) + 2
Zarrin [17]
Answer:
1) 13p+6
2) 13p+3
6 0
2 years ago
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