Express the product (5/2x+1) and (1/2x+1/4) as a trinomial in simplest form

The x -intercept of f(x)=x³-x²-1 is x=1.46557.

So, to find the x-intercept of f(x)=x³-x²-1:
To find the x-intercept, substitute y = 0.

Using the long division method, we obtain:

Therefore, the x -intercept of f(x)=x³-x²-1 is x=1.46557.

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The correct question is given below:
What is the x-intercept of f(x)=x³-x²-1? Round the answer to the nearest hundredth.

Answer:

Angle 2: Acute, supplementary

Angle 5: Obtuse, congruent

Step-by-step explanation:

An acute angle is less than 90 degrees. An obtuse angle is more than 90 degrees. A supplementary angle is an angle equal to 180 degrees when added to another angle. (Angle 1 + angle 2 = 180 degrees.) Congruent angles are equal to each other in degrees. (Angle 5 = angle 8.)

Probability of having at least one boy and at least one girl is 0.75

There are two possibilities of a child, it could be a girl or a boy.

Since, the family plans to have 3 children.

∴ Total outcomes are = 2³

Total outcomes are = 8 outcomes

The total possible outcomes are: BBB, BBG, BGB, GBB, GBG, BGG, GGB, GGG

So, there are 8 possible outcomes.

Now, probability of having at least one boy and at least one girl= 1 - (Probability of having all girls, Probability of having all boys)

Probability of having all girls i.e., GGG = 1/8

Probability of having all boys i.e., BBB = 1/8

P(at least one boy and at least one girl) = 1 - (1/8 + 1/8)

= 1 - (2/8)

= 6/8

= 0.75

∴ P(at least one boy and at least one girl) = 0.75

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1) The converse of the function is; If not q, then p

2) The Inverse of the function is; If not p, then q.

3) The contrapositive of the function is; If q, then not p

Suppose we have a conditional statement, If it is raining, we will not play. Let, A: It is raining and B: we will not play. Then; If A is true, that is, it is raining and B is false, that is, we played, then the statement A implies B is false.

The conditional statement is given as;

If p, then not q.

1) The converse of the function is; If not q, then p

2) The Inverse of the function is; If not p, then q.

3) The contrapositive of the function is; If q, then not p

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The inequality that represents the given situation is 13x - 9 > 4.5x + 8

From the question, we are to determine the inequality that represents the given situation

From the given information, we have that

The length of the laptop is given by 13x - 9 units

and

The width of the laptop is given by 4.5x + 8 units

If the length is greater than the width, then we can write that

13x -9 > 4.5x + 8

Hence, the inequality is 13x - 9 > 4.5x + 8

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The absolute value equation representing all numbers x whose distance from 5 is 3 units.eiol be x = (-3, 8).

It should be noted that from the information, we are to write an absolute value equation representing all numbers x whose distance from 5 is 3 units.

Therefore, the absolute value equation representing all numbers x will be illustrated as:

x - 3 = 5.

It should be noted that we will solve for x

Therefore, x - 3 = 5

Collect like terms

x = 5 + 3.

x = 8

Therefore, the absolute value equation representing all numbers x whose distance from 5 is 3 units.eiol be x = (-3, 8).

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Answer:

g(x) = | x + 5 | + 2

Step-by-step explanation:

given f(x) then f(x ± h ) represents a horizontal translation of f(x)

• if x > 0 then a shift to the left of h units

• if x < 0 then a shift to the right of h units

here f(x) is shifted left by 5 units , then

g(x) = | x + 5 |

given f(x) then f(x) + k represents a vertical translation of f(x)

• if k > 0 then a shift up of k units

• if k < 0 then a shift down of k units

here f(x) is shifted up 2 units , then

g(x) = | x + 5 | + 2

In the area of the rectangle the value of the k is 6.

According to the statement

We have to find that the value of the k in the area of rectangle.

So, For this purpose, we know that the

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

From the given information:

Two rectangles have the exact same area.The measurements of the first rectangle is 3k by 3 and the measurements of the second rectangle is k+3 by 6.

Then

The area of the first rectangle = 3k*3

The area of the first rectangle = 9k

And

The area of the second rectangle = 6(k+3)

The area of the second rectangle = 6k+18

Then

Compare the both values of the area

6k+18 = 9k

9k - 6k = 18

3k = 18

k = 18/3

k = 6.

So, In the area of the rectangle the value of the k is 6.

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As A and B are vertical angles, the measures of angle A and B is 98° each.

When two lines collide, vertical angles are created. The angles that are directly opposite one another, out of the four that are generated, are vertical angles. Additionally, they are known as "vertically opposed angles." All of these angles are equal.

Vertical angles are created when two straight lines cross. Angles vertically are consistently congruent and equal. As the two sets of non-adjacent angles created by crossing two lines superimpose on one another, vertical angles are congruent.

As A and B are vertical angles,

6x - 16 = 4x + 22

⇒ 2x = 38

⇒ x = 19

Measure of Angle A is 98°

Measure of Angle B is 98°

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Answer:

z = Fn +s.

Step-by-step explanation:

F = (z - s)/n

z - s = Fn

z = Fn +s.

The total number of half-dollar coins are in $28 given to children who come into your store is 56.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

You have $28, and you want to get half-dollar from the bank to give to children who come into your store.

According to given question we have

Half-dollar from the bank= $28

1/2 =28

1=28*2

1=56

So, the total number of half-dollar coins given to children who come into

your store is 56.

Therefore, the total number of half-dollar coins are in $28 given to children who come into your store is 56.

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Based on the word problem, the number is 9

This refers to the type of number that is expressed as the ratio of two integers that has a non-zero denominator.

Let the numerator be x

Let the denominator be x+2

If 5 is subtracted from the numerator

x - 5

If 5 is added to the denominator

x +2 + 5

x-5/x+7= 1/4

Cross multiply the values

It becomes

4x- 20 = x+ 7

3x= 27

x= 9

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Answer:

0.41

Step-by-step explanation:

The probability that at least one ball of each color is chosen is 105/8568.

Given that:-

Number of red balls in the urn = 5

Number of white balls in the urn = 6

Number of blue balls in the urn = 7

We have to find the probability that at least one ball of each color is chosen.

Let us consider the that 1 ball of each color has been chosen.

Hence, we are left with 4 red balls, 5 white balls and 6 blue balls.

Now we have to choose 2 balls from them.

Hence,

Number of ways in which we can choose 2 balls from (4+5+6) that is 15 balls = [tex]^{15}C_2=105[/tex]

Total number of ways in which we can choose 5 balls from 18 balls =

[tex]^{18}C_5=8568[/tex]

Hence,

Probability that at least one ball of each color is chosen = 105/8568

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Answer:

#4:    7.5

#5:    28

Step-by-step explanation:

Polygon in #4

is a triangle
base = 1 - (-2)  = 1+2 = 3
height = 1-(-4) = 1 + 4 = 5

Area of a triangle with base b and height h = (1/2)b.h

So area of this triangle = (1/2) (3) (5) = 15/2 = 7.5

Polygon in #5
is a rectangle with length = 7 - (-7) = 7 +7 = 14

and width = 5-3 = 2

Area of a rectangle with length l and width w = lw

Area of this rectangle = 14 x 2 = 28

Hope that helps

The area of the polygon for exercise 4 is 7.5 square units and for exercise 5 the area is 28 square units.

The space occupied by the object in two-dimensional space is called as the area.

For a triangle, the area will be calculated as,

base = 1 - (-2)  = 1+2 = 3

height = 1-(-4) = 1 + 4 = 5

Area of a triangle with base b and height,

h = (1/2)b.h

Area of this triangle,

A = (1/2) (3) (5) = 15/2 = 7.5

Rectangle with length = 7 - (-7) = 7 +7 = 14

Rectangle width = 5-3 = 2

Area of a rectangle with length l and width w = lw

Area of this rectangle = 14 x 2 = 28 square units

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Answer:

d-(8,15)

Step-by-step explanation:

69497694646946464646463434644

Answer:

x=12

Step-by-step explanation:

Our equation: 3x + 4= 40

40-4=36. 36/3 = 12

The solution to the equation 3 - 1/2d = 3/2d + 4 - d is d = -7

The expression is given as

3 - 1/2d = 3/2d + 4 - d.

Multiply through the expression by 2

So, we have

6 - d = 3d + 8 - 2d

Evaluate the like terms

6 - d = d + 8

Evaluate the like terms

2d = -14

Divide by 2

d = -7

Hence, the solution to the equation 3 - 1/2d = 3/2d + 4 - d is d = -7

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Equation that describes the relationship between a and c is c = 750 / a

The domain of the function is - 5 ≤ a ≤ 50

The range of the function is - 50 ≤ c ≤ 150

Given,

Total money spent is = $750

Thus, our equation become,

ca = 750

solving for c,

c = 750 / a

The domain and range of function is -

a ≤ 5

Now, each award should be less than 50.

= 50 ≤ c

using equation, ac = 750

maximum value for a = 75.

we can say that domain is

5 ≤ a ≤ 50

Finally, by substituting a = 5 we can see that the maximum for c is 150.

This gives range for c as -

50 ≤ c ≤ 150

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The different possible outcomes are there if she spins a spinner with 5 equal-sized sections-

So, there are are total 10 outcomes of  flipping a coin

A coin has two faces head and tail . On flipping a coin there are total 2 outcomes i.e. a head and a tail.

There is  a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday.

On Spinning a spinner with 5 equal-sized sections there are total 5 outcomes . They are Monday, Tuesday, Wednesday, Thursday, Friday.

So there are two events flipping a coin and spinning a spinner.

possible outcomes are

(Head, Monday)   (Tail , Monday)     (Head, Tuesday)  (Tail, Tuesday)

(Head, Wednesday)    (Tail , Wednesday)  (Head, Thursday)  (Tail, Thursday)

(Head, Friday)  (Tail, Friday)

So, there are are total 10 outcomes.

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Since in the image above angle 3 is 79 degrees, angle 11 is also equal to 79 degrees based on the vertical angles theorem.

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

The vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are generally formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.

In Geometry, when two (2) parallel lines are cut by a transversal, the interior angles that are formed on the same side of the transversal are supplementary angles, which makes:

Angle 3 = Angle 14

Angle 14 = Angle 9

Angle 3 ≅ Angle 9 (Congruent angles or supplements of the same angle)

By applying the vertical angles theorem, we have:

Angle 9 ≅ Angle 11 = 79 degrees.

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Answer:

a) algebraic expression

b) equation

c) numerical expression

Step-by-step explanation:

Hope this helps......if not then sorry for wasting your time and may God bless you<3

The value of the expression xy + z is 26 when x = 6, y = 4, and z = 2

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

xy + z

The values are given as

x = 6, y = 4, and z = 2

The expression can then be represented as

xy + z = 6 * 4 + 2

Evaluate the product

So, we have

xy + z = 24 + 2

Evaluate the sum

So, we have

xy + z = 26

Hence, the value of the expression xy + z is 26 when x = 6, y = 4, and z = 2

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Answer:

3872

Step-by-step explanation:

10,000 - 6,128 = 3872

use calculator man

Using the uniform distribution, we have that:

a) The graph is given at the end of the answer.

b) Jayden waits more than 7 minutes 30% of the days.

c) The 38th percentile is of 3.8 minutes.

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

For this problem, the bounds are given as follows:

a = 0, b = 10.

As shown in the graph at the end of the answer.

The probability of waiting more than 7 minutes is:

[tex]P(X > 7) = \frac{10 - 7}{10 - 0} = 0.7[/tex]

Jayden waits more than 7 minutes 30% of the days.

The 38th percentile is x for which P(X < x) = 0.38, hence:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

0.38 = x/10

x = 3.8.

The 38th percentile is of 3.8 minutes.

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The mass ratio of the rocket is 10.8468 kg/C.

Given:

To find: Mass ratio (R) = ?

Finding:

On substituting the values of 'c', 't', 'v', we get:

6.9 = - 0.0098 (50) + 3.1 (ln (R) )

=> 6.9 + 0.49 = 3.1 (ln (R) )

=> 7.39 =  3.1 (ln (R) )

=> ln (R) = [tex]\frac{7.39}{3.1}[/tex]

=> R = [tex]e^{\frac{739}{310}}[/tex] ≈ 10.8468

Hence, the mass ratio of the rocket is 10.8468 kg/C.

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