Find the E(x) for the following function
f(x)=2x^2, 0

The linear factors of the given polynomial is (2x+1)(4x+3) and (3x-2).

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given function is f(x)=24x³+14x²-11x-6 and one of the factor is (2x+1).

Here, 24x³+14x²-11x-6 can be written as 24x³+12x²+2x²+1x-12x-6

12x²(2x+1)+1x(2x+1)-6(2x+1)

= (2x+1)(12x²+1x-6)

= (2x+1)(12x²+1x-6)

= (2x+1)(12x²+9x-8x-6)

= (2x+1)[3x(4x+3)-2(4x+3)]

= (2x+1)(4x+3)(3x-2)

Therefore, the linear factors of the given polynomial is (2x+1)(4x+3) and (3x-2).

To learn more about the factorization visit:

https://brainly.com/question/26923098.

#SPJ9

Based on the above, the width of the field is 62 meters.

Based on the question, Let's say that the width of the field is  denoted with 'w'.

Note that the formula for the perimeter (P) of a rectangle is:

P = 2(l + w)

where"

l = length

w =  width.

Fixing the values into the equation, it will be:

300 = 2(88 + w)

So, Divide both sides by 2:

150 = 88 + w

Subtract 88 from both sides:

w = 150 - 88

w = 62

Learn more about width from

https://brainly.com/question/25292087

#SPJ1

Se text below

The perimeter of a rectangular field is 300 m. If the length of the field is 88 , what is its width?

Answer:

7/2

Step-by-step explanation:

To find the reciprocal of a fraction we just flip it

2/7 =7/2

The reciprocal of 2/7 is 7/2, and it plays a significant role in various mathematical operations involving fractions.

The reciprocal of a fraction is obtained by interchanging the numerator and denominator. For the fraction 2/7, its reciprocal is 7/2. To understand why this is the case, let's break it down.

When we take the reciprocal of a fraction, we essentially flip it upside down. In the case of 2/7, we switch the positions of 2 (numerator) and 7 (denominator) to get 7/2. This reciprocal property holds true for any fraction.

The reciprocal of 2/7 is an essential concept in mathematics, especially when dealing with division of fractions. When you divide a fraction by another fraction, it is equivalent to multiplying the first fraction by the reciprocal of the second fraction. So, dividing by 2/7 is the same as multiplying by 7/2.

In conclusion, the reciprocal of 2/7 is 7/2, and it plays a significant role in various mathematical operations involving fractions.

To know more about reciprocal:

https://brainly.com/question/15590281

#SPJ6

The two relations to change the units of temperatueres are:

a) C = (5/9)*(F - 32°)

b) F = (9/5)*C + 32°

We start knowing that:

32°F = 0°C

212°F = 100°C

Taking the difference we can get the relation:

212°F - 32°F = 100°C - 0°C

180°F = 100°C

1.8°F = 1°C

(9/5)*F = 1°C

Then the relation to go from Farhenheit to Celcius is:

C = (5/9)*(F - 32°)

b) To get the other relation, we just need isolate F in the above one, so we get:

C = (5/9)*(F - 32°)

(9/5)*C = F - 32°

(9/5)*C + 32° = F

Then the other relation is:

F = (9/5)*C + 32°

If you want to learn more about temperature:

https://brainly.com/question/25677592

#SPJ1

Answer:

3x - 2

Step-by-step explanation:

3 times Kim's age (x), so 3x; minus 2 years (Sam's age).

Answer:

The answer is 3x - 2  :)

Step-by-step explanation: 3x = 3 times Kim's age (x) minus 2

The length of the base of the following pyramid when the height, angle of elevation is given so it is 158 meters.

Since

The height of the pyramid is 71 meters and the angle of elevation of the base of the pyramid is 42°.

So,

\(tan (42) = height \div base\\\\base = height \div tan (42)\\\\base = 71\div tan\ (42)\\\\\)

base = 78.85 m

Now

length of the base pyramid = 2× length of the base of the right triangle

= 2 ×78.85

= 157.7

≈ 158 m

Hence, The length of the base of the following pyramid when the height, angle of elevation is given so it is 158 meters.

Learn more about length here: https://brainly.com/question/1797077

Answer:

7/16, 21/48, 28/64

Step-by-step explanation:

Hope this helps

Answer:

60 miles prh because that is the amount of speed it takes to get there

Given that:

Solution

Recall that:

The right-angled triangle with the sides labelled is shown below:

The coupon rate of the bonds by King of Diamonds Industries would be 7 %.

The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:

= (Coupon payment  x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value /  (1  + rate )^ number of years

1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14

103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x  (1 - ( 1 + 0.07) ^ ( - 14) )

Using a calculator, C is $ 70.

This means that the coupon rate is:

= 70 / 1, 000

= 7 %

Find out more on the coupon rate at https://brainly.com/question/28528712

#SPJ1

₋2.3 < ₋8/3 is the correct answer.

Given, we need to compare the terms.

₋8/3 = ₋2.67

therefore, 2.3 is less than 2.667

hence we form it as ₋2.3 < ₋2.67

we form: ₋2.3 < ₋8/3

Learn more about decimals here:

brainly.com/question/703656

#SPJ9

Answer:

y=-5

Step-by-step explanation:

Equation of the line

Lines can be expressed in several forms. The slope-intercept form of the line is:

y = mx + b

Where m is the slope of the line and m is the y-intercept.

If the line is perpendicular to the y-axis, then it's a horizontal line. Horizontal lines have slope m=0, thus, the equation is:

y = b

To find the value of b, just substitute the given point:

-5=b

The equation of the line is:

y=-5

The amount of money predicted by the organizers is $3400.

In mathematics →

Given is that the Parktown Animal Shelter held a silent auction to raise money. The organizers predicted how much money they would raise. On the day of the silent auction, they raised $4,000. Their prediction had been 15% less than that.

Assume the money predicted by the organizers is $[x]. Then,  we can write -

{x} = 4000 - {15% of 4000}

{x} = 4000 - {15/100 x 4000}

{x} = 4000 - {15 x 40}

{x} = 4000 - 600

{x} = 3400

Therefore, the amount of money predicted by the organizers is $3400.

To solve more questions on percentage, visit the link below -

brainly.com/question/24159063

#SPJ1

Answer:

3x-10=x+4

Step-by-step explanation:

The value of R(A) = 4, N(AT ) = 3, R(AT ) = 4, and N (A) = 3.

Given that

Dimension of matrix  = 7×5

Rank of matrix = 4

The range space of A,

Which is a subspace of R, is known as R(A).

It is made up of all conceivable linear combinations of A's columns.

The dimension of R(A) =  rank of A,

Which is 4 in this case.

The null space of the transpose of A,

Which is also a subspace of R, is designated as N(AT).

All potential answers to the equation ATx = 0,

Where x is a R column vector, are included in it.

N(AT) has a dimension = nullity of A,

which in this case is 3 in this example.

The range space of the transposition of A, is designated as R(AT).

The rows of A are arranged in all conceivable linear configurations.

The rank of A = 4

Thus it equal to dimension of R(AT).

N(A) is the null space of A.

Axe = 0, where x is a column vector in R, are included in it.

The nullity of AT, which is three, is likewise equivalent to the dimension of N(A).

To learn more about matrix visit:

https://brainly.com/question/29132693

#SPJ1

If spring A has a spring constant which is 8 times spring B's spring constant then the ratio of their periods is = 9K and  \(\frac{9K}{8}\)

Spring stiffness is a characteristic that describes the relationship between load and deflection. If k is stiffness, P is load, and x is deflection, P = kx. The smaller the deflection at a constant load, the stiffer the spring, k.

Given that,

If spring A has a spring constant which is 8 times spring B's spring constant,

Let us assume,

A spring is cut into two parts of length La and Lb

Also given that La : Lb

La : Lb = 1 : 8

The total of spring constant is = 1 + 8 = 9

If the length of spring is L , then La

La = \(\frac{L}{9}\)

And length of B , Lb

Lb = \(\frac{8L}{9}\)

We know, for spring force , spring constant or stiffness of spring is inversely proportional to length of spring .

K ∝ 1 / L

If initial spring constant is k then,

kL= KaLa = KbLb

Then,

Ka = \(\frac{K}{\frac{1}{9} }\)

Ka = 9K

And Kb = \(\frac{K}{\frac{8}{9} }\)

Kb = \(\frac{9K}{8}\)

Hence, stiffness of A is given by, 9K

Stiffness of B is given by  \(\frac{9K}{8}\)

Therefore,

If spring A has a spring constant which is 8 times spring B's spring constant then the ratio of their periods is = 9K and  \(\frac{9K}{8}\)

To learn more about Stiffer spring ratio problems visit :

brainly.com/question/14944249

#SPJ4

Answer:

this is not a question...

Step-by-step explanation:

The annual interest rate is 7.5%.

What is Simple interest?

Simple interest is a type of interest that is calculated on the principal amount (or the initial amount) of a loan or investment, without taking into account any accumulated interest from previous periods.

The formula for simple interest is:

I = P × r × t

where I is the interest earned, P is the principal (initial amount), r is the annual interest rate as a decimal, and t is the time in years.

In this case, we know I = $562.50, P = $1500, and t = 5 years.

we ca substitute values into the formula,

562.50 = 1500× r ×5

Simplifying, we get:

r = 562.50 / (1500 ×5)

r = 0.075

r = 7.5%

Therefore, the annual interest rate is 7.5%.

To learn more about Simple interest , visit the link:

https://brainly.com/question/25793394

#SPJ1

Answer:

1728

Step-by-step explanation:

Answer:

54 kids per bus

Step-by-step explanation:

first take 7-331 and you get 324 divided by 6= 54

Answer:

x+2 domain: (-infiniy, +infinity) or -infinity<x<infinity

1/x +2 domain: (-infinity, 0) and (0, infinity) or 0<x<0

Answer:

5/7

Step-by-step explanation:

ratio of boys to girls---> 2:5

ratio sum: 2+5=7

girls ratio =5/7

OR

total of people in 7th grade choir=28

hence, no of girls in 7th grade choir=5/7 × 28

=20

proportion of girls in choir= 20/28 = 5/7

We have proved that the ray FE is parallel to the ray GC.

What is meant by parallel lines?

In geometry, parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet. Parallel curves are curves that do not touch each other or intersect and keep a fixed minimum distance.

Angle DEF intersects at B

which results in angle DEF corresponding to the angle  ACG.

As DEF = 45 so angle ACG = 45

So by the above discussion, we can say that the ray FE is parallel to the ray GC.

Hence, we have proved that the ray FE is parallel to the ray GC.

To learn more about parallel lines visit:

brainly.com/question/4954460

#SPJ1

Answer:

1:3

Step-by-step explanation:

:))

1:3

15 / 15 = 1

45 / 15 = 3

So its 1:3

Answer:

g(5) + h(3) = 5

Step-by-step explanation:

Step 1: solve each of the functions

g(x) =  4x - 3; g(5)

4x - 3          replace the x with 5

4(5) - 3        simplify the parenthesis

20 - 3          subtract

g(x) = 17

h(x) = -4x; h(3)

-4x              replace the x with 3

-4(3)             simplify

h(x) = -12

Step 2: add the results

g(x) = 17 + h(x) = -12

17 + (-12)

g(5) + h(3) = 5

Answer:

−3/2

Step-by-step explanation:

Hope this helps

:D

84percent of Senate incumbents win reelection in the United States.

In the United States, Senate incumbents have a high rate of re-election. This is due to a number of factors, such as name recognition, access to resources, and the advantages of incumbency. According to the Center for Responsive Politics, 84% of Senate incumbents have won re-election since 1982, with an average of 84.5% over that period. This figure is higher than the rate of re-election for House incumbents, which stands at around 90%. This indicates that while incumbency is an advantage in Senate races, it is not as strong as it is in House races.84% of Senate incumbents win reelection in the United States.

Learn more about percent here

https://brainly.com/question/16797504

#SPJ4

The Approximate percent of senate incumbents that have win the reelection is (d) 84% .

In the united States Of America , The Incumbents  have a very high rate of Re-election because of various factors which are access to resources , the name recognition and advantage of incumbency .

So , by the Center of Responsive Politics , the 84% of  senate incumbents have won the reelection since the year 1982 where the average percent of win is 84.5% .

Whereas , the rate of reelection in the house of incumbents is 90% which is higher that the Senate Incumbents .

Therefore , approximately 84% of the senate incumbents win the re-election .

Learn more about Senate Incumbents here

https://brainly.com/question/6989727

#SPJ4

The maximum value of the original data set is 109.

To determine the maximum value of the original data set from the given stemplot, we need to look at the rightmost digits in each stem and identify the highest value.

Looking at the stemplot:

O 10 | 0 0 8 9 8 9 0 0 0

0 20 | 5 4 7 9 6

0 30 | 1 4 6 7 7 9 7

0 40 | 0 0 2 5 5 7 7 9 9 8

0 50 | 1 2 2 2 3 4 5 5 7 8 9 9

0 60 | 0 0 0 3 3 3 3 6 8

The rightmost digits in each stem represent the original data values. We can see that the highest value occurs in the stem "10" with a rightmost digit of "9".

Therefore, the maximum value of the original data set is 109.

For such more question on value:

https://brainly.com/question/843074

#SPJ8