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olga nikolaevna [1]
3 years ago
10

All the prime numbers between 20 and 30

Mathematics
2 answers:
leva [86]3 years ago
8 0
All the prime numbers betwemn 20 and 30 are 23 and 29
Rudik [331]3 years ago
8 0
The answer is 23 and 29
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Which expression is equivalent to the given expression?
Rainbow [258]
C. Square root of 48
4 0
3 years ago
As a financial consultant, the CFO of a major television company has shared the profit function P(x) = −x4 - 2x3 + 21x2 + 22x −
drek231 [11]

Answer:

The company will break even at x=1 and x=4.

Step-by-step explanation:

The given profit function is

P(x)=-x^4-2x^3+21x^2+22x-40

Where, x is number of commercials.

Use synthetic division or long division to find the factors of the function.

P(x)=(x-1)(x^3+3x^2-18x-40)

P(x)=(x-1)(x+2)(x^2+x-20)

P(x) = -(x - 4) (x - 1) (x + 2) (x + 5)

Equate P(x)=0, to find the break even points.

-(x - 4) (x - 1) (x + 2) (x + 5)=0

Use zero product property and equate each factor equal to zero.

x=4,1,-2,-5

Therefore the zeros of the function P(x) are 4, 1, -2 and -5. Since x is number of commercials, therefore the value of x must be positive. Therefore the company will break even at x=1 and x=4.

The higher degree of the function is even and the leading coefficient is negative. So,

P(x)\rightarrow -\infty \text{ as }x\rightarrow \infty

P(x)\rightarrow -\infty \text{ as }x\rightarrow -\infty

Since the value of x must be positive, therefore the left end point is y-intercept of the graph, i.e., (0,-40).

Therefore the company faces huge loss when the number of commercials increases unboundly.

The graph of the function is given below.

7 0
3 years ago
In the inequality 2x + $15,000 is less then equal to $65,000, x represents the amount of a car loan. Which phrase most accuratel
snow_tiger [21]

Answer:

The maximum amount of loan should be $25000

Step-by-step explanation:

we are given

In the inequality 2x + $15,000 is less then equal to $65,000

where

x represents the amount of a car loan

so, we get inequality as

2x+15000\leq 65000

Firstly, we will solve for x

We will subtract both sides by 15000

2x+15000-15000\leq 65000-15000

2x\leq 50000

Divide both sides by 2

we get

x\leq 25000

So,

The maximum amount of loan should be $25000

7 0
3 years ago
Janet’s mother gave her $76 to go to the store. Janet bought 2 loaves of bread and 4 cartons of orange juice. Each loaf of bread
Hatshy [7]

Answer:

22

Step-by-step explanation:

2x5 =10 4x3 = 12 12=10 =22

5 0
3 years ago
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To the nearest hundredth, what is the distance between point (6,-1) and point (4,3)?
balu736 [363]
The answer is 10....
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