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nydimaria [60]
3 years ago
7

Evaluate the algebraic expressions, and put their values in order from least (1) to greatest (4), for a = 2 and b = 5 1. 50 − b2

+ a 2. a2(5 − b) 3. b2 − 10 4. a(b − 3)
ill give brainiest to first answer

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
5 0

Answer:

0

4

15

27

Step-by-step explanation:

a) The first expression is

50-b^2+a

When a=2 and b=5, we get

50 -  {(5)}^{2}  + 2 = 50 - 25 + 2 = 27

b) The second expression is

a^2(5-b)

We substitute a=2 and b=5;

{2}^{2} (5 - 5) = 4(5 - 5) = 4 \times 0 = 0

c) The next expression is

{b}^{2}  - 10

We substitute b=5 to get:

{5}^{2}  - 10 = 25 - 10 = 15

d) The fourth expression is

a(b-3)

When a=2 and b=5

2(5 - 3) = 2 \times 2 = 4

We know that:

0<4<15<27

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in a final exam you have four multliple choice questions left to do. each questions has five suggested answers and only one of t
kompoz [17]

Answer:

The probability that you get zero questions correct is 0.4096

The probability that you get one questions correct is 0.4096

The probability that you get three questions correct is 0.0256

Step-by-step explanation:

These probability can be describe with a Binomial Distribution. These distribution can be used when we have n identical and independent situations in which there is a probability p or probability of success and a probability q or probability of fail. Additionally q is equal to 1 - p. The probability of x for a situation in which we can apply binomial distribution is:

P( x,n,p) = n Cx * p^{x } * q^ {n-x}

Where x is the variable that says the number of success in the n situations

And nCx is calculate as:

nC x = \frac{ n!}{ x! (n-x)! }

From the question we can identify that:

  • n is equal to 4 multiple choice question
  • p is 1/5 or 0.2, the probability of get one question correct
  • q is 4/5 or 0.8, the probability of get one question incorrect

Then the probability of get zero questions correct of 4 questions is:

P( 0, 4, 0.2) = 4 C0 * p^{0 } * q^ {4-0}= 0.4096

The probability of get one question correct of 4 questions is:

P( 1, 4, 0.2) = 4 C1 * p^{1 } * q^ {4-1}= 0.4096

The probability of get three questions correct of 4 questions is:

P( 3, 4, 0.2) = 4 C3 * p^{3 } * q^ {4-3}= 0.0256

8 0
4 years ago
3. How is the Fundamental Theorem of Algebra true for quadratic polynomials?
myrzilka [38]

Answer:

Step-by-step explanation:

Theorm-The Fundamental Theorem of Algebra: If P(x) is a polynomial of degree n ≥ 1, then P(x) = 0 has exactly n roots, including multiple and complex roots.

Let's verify that the Fundamental Theorem of Algebra holds for quadratic polynomials.

A quadratic polynomial is a second degree polynomial. According to the Fundamental Theorem of Algebra, the quadratic set = 0 has exactly two roots.

As we have seen, factoring a quadratic equation will result in one of three possible situations.

graph 1

The quadratic may have 2 distinct  real roots. This graph crosses the

x-axis in two locations. These  graphs may open upward  or downward.

graph 2

It may appear that the quadratic  has only one real root. But, it  actually has one repeated root.  This graph is tangent to the x-axis  in one location (touching once).

graph 3

The quadratic may have two  non-real complex roots called  a conjugate pair. This graph will  not cross or touch the x-axis, but  it will have two roots.

6 0
3 years ago
T=3 and t=5 to determine if the expression 4(t+3) and 4 t+12 are equivalent
Mademuasel [1]
No they’re not equivalent because 4(t+12) =68 and 4t+12=32
7 0
3 years ago
What is the area of the figure?
Kipish [7]

Answer:

17.98 square meters

Step-by-step explanation:

find the area of rectangle

length x width

6.2x1.8= 11.16

find area of triangle

base x height x 1/2

base= 6.2

height= 4-1.8= 2.2

area=2.2 x 6.2 x 1/2 = 6.82

add both together to get area of figure

6.82 + 11.16 = 17.98

5 0
3 years ago
It cost $120 to buy the materials for crown molding in the completed office. (Crown molding is the decorative border where the w
scoundrel [369]

Answer:75

Step-by-step explanation:

4 0
2 years ago
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