The expression (Ux²+x-T) (2x-1) can be written in the form (2x-1)²(x+S) where U, T and S are constant. Find the values of U, T and S....... Please help me solve this polynomial ​

Answers

Answer 1

Answer:

U=2, S=1, T=1

Step-by-step explanation:

(Ux²+x-T) (2x-1)=(2x-1)²(x+S)

(Ux²+x-T)=(2x-1)(x+S)=2x²+(2S-1)x-S

U=2

2S-1=1 --> S=1

T=S=1


Related Questions

what is the value of x in the figure Pls help​

Answers

Answer: x=18

im assuming that this is a right angle

so if it is then that means the total of the angle should be 90 degrees. so 2x+3x should be equal to 90. Just combine like terms to get that 5x=90 and then isolate the variable (divide by 5 on both sides) so x ends up equaling 18.

so x=18

I need help. Is this right????

Answers

Answer: (I can only see stage 1 and 2 fully) Stage 1: 2 Stage 2: 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

0 = 0

1 = 2

2 = 4

3 = 6

20 = 40

PLSSSS PLSSS HELPPPP MEEEEE ASAPPPPP I WILLLLL GIVE BRAINLIEST!!!!!!!

Answers

Answer:

40 ft

Step-by-step explanation:

Solve the given system using the method of Example 3.25. x1 − x2 = 1 3x1 + x2 = 3 x = 1 0 Correct: Your answer is correct.

Answers

Answer:

[tex]x_1 = 1[/tex]

[tex]x_2=0[/tex]

Step-by-step explanation:

The question is incomplete as the method is not given.

However, the question can still be solved.

Given

[tex]x_1 - x_2 = 1[/tex]

[tex]3x_1 + x_2 = 3[/tex]

Make xi the subject in the first equation

[tex]x_1 = 1 + x_2[/tex]

Substitute 1 + x2 for xi in the second equation

[tex]3(1+x_2)+x_2 = 3[/tex]

Open bracket

[tex]3+3x_2+x_2=3[/tex]

[tex]3+4x_2=3[/tex]

Collect Like Terms

[tex]4x_2 = 3-3[/tex]

[tex]4x_2 =0[/tex]

Solve for x2

[tex]x_2=0/4[/tex]

[tex]x_2=0[/tex]

Recall that:

[tex]x_1 = 1 + x_2[/tex]

[tex]x_1 = 1+0[/tex]

[tex]x_1 = 1[/tex]

If 1 liter = 1.057 quarts, about how many liters are in 1 gallon of milk? Round to the nearest liter.

Answers

Answer:

3.78541 liters (sorry I'm horrible at rounding)

Could you answer this please a lot of points to you

Answers

Answer:

Step-by-step explanation:

13/16 dived by 5/6 = 9/40

7 dived by 1/6 = 42

2 1/5 dived by 1 1/3 = 1 13/20

2 1/7 dived by 3/28 = 20

Bank tellers earn a weekly
salary of $200 plus $10 per
hour worked. Rebecca would
like to work at least 20 hours
each week. Use the graph to
model this scenario. How
much money will Rebecca
earn working at least 20
hours each week?

Answers

Answer:

2000 dollars

Step-by-step explanation:

Unnithan, Houser, and Fernhall (2006) were interested in whether playing the game Dance Dance Revolution (DDR) met the American College of Sports Medicine recommendations for exercise to improve cardiovascular health. Twenty-two adolescents, 10 of whom were classified as overweight and 12 of whom were not overweight, played DDR for 12 minutes. During the 12 minutes, the researchers measured each participant's heart rate. On average, the researchers found no difference between the heart rates of the two groups. Both groups' heart rates were above the minimum recommended for cardiovascular exercise. Which of these requires an inferential statistic?

Answers

Answer:

The conclusion that both groups of overweight and non - overweight got cardiovascular benefit from playing DDR games requires Inferential statistics.

Step-by-step explanation:

Inferential statistics is simply a type of research statistic whereby a generalized conclusion is made about a larger group based on representative observations

Now,in the given question, we see that both group hearts were above the minimum recommended for cardiovascular exercise. Now we can infer that the DDR games played by both groups gave them cardiovascular benefits. This conclusion is an example of Inferential statistics where we generalize about a large population based on observations from a small sample.

Thus the conclusion that both groups of overweight and non-overweight got cardiovascular benefit from playing DDR games requires Inferential statistics.

What are the features of the quadratic function ƒ(x) = (x – 3)(x + 7)?

Question 8 options:


A)


Vertex = (2,25), y-intercept = (0,21), x-intercepts = (7,0) and (–3,0), axis of symmetry is x = 2


B)


Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = 2


C)


Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = –2


D)


Vertex = (–2,25), y-intercept = (0,21), x-intercepts = (7,0) and (3,0), axis of symmetry is x = –2

Answers

Answer:

Option C:Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = –2

Step-by-step explanation:

We are given the function;

f(x) = (x - 3)(x + 7)

The axis of symmetry in a quadratic equation is given by the formula;

x = -b/2a

Expanding the function given, we have;

f(x) = x² + 4x - 21

a = 1

b = 4

c = - 21

Thus;

Axis of symmetry is:

x = -(4)/(2 × 1)

x = -2

Now, y-intercept is when x = 0

Thus;

f(0) = (0 - 3)(0 + 7)

f(0) = - 3 × 7 = - 21

y - intercept is (0, - 21)

x-intercept is when f(x) = 0

Thus;

(x - 3)(x + 7) = 0

Thus;

x - 3 = 0 or x + 7 = 0

x = 3 or x = - 7

x - intercept is (-7, 0) and (3,0)

The y-coordinate of vertex will be at the line of axis of symmetry.

Thus, we will put x = -2 into the function to get;

y = (-2 - 3)(-2 + 7)

y = -5 × 5 = - 25

Vertex is at (-2, -25)

Correct Answer is option C

Answer:

Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = –2

Step-by-step explanation:

Find the distance between the points (10,5) and (6,2)

Answers

The answer fam is........... 5 To find the distance between (10,5) and (6,2) use the "Distance formula"

See attachment the problem can be found in there

Answers

Answer:

[tex] \frac{ - 2 {x}^{2} + 19x + 3 }{3 {x} (4x^{2} - 9 )} [/tex]

Step-by-step explanation:

[tex] \frac{5}{6 {x}^{2} + 9x} + \frac{1}{2x - 3} - \frac{2}{3x} \\ \\ = \frac{5}{3x(2 {x} + 3)} + \frac{1}{2x - 3} - \frac{2}{3x} \\ \\ = \frac{5(2x - 3) + 1 \times 3x(2x + 3)}{3x(2 {x} + 3)(2x - 3)} - \frac{2}{3x} \\ \\ = \frac{10x - 15 + 6 {x}^{2} + 9x}{3x((2 {x} ) ^{2} - {3}^{2} )} - \frac{2}{3x} \\ \\ = \frac{6 {x}^{2} + 19x - 15}{3x(4x^{2} - 9 )} - \frac{2}{3x} \\ \\ = \frac{3x(6 {x}^{2} + 19x - 15) - 2 \times 3x(4x^{2} - 9 )}{3x(4x^{2} - 9 ) \times 3x} \\ \\ = \frac{18{x}^{3} + 57 {x}^{2} - 45x - 24x^{3} + 54x }{3x(4x^{2} - 9 ) \times 3x} \\ \\ = \frac{ - 6 {x}^{3} + 57 {x}^{2} + 9x }{9 {x}^{2} (4x^{2} - 9 )} \\ \\ = \frac{ 3x(- 2 {x}^{2} + 19x + 3) }{9 {x}^{2} (4x^{2} - 9 )} \\ \\ \huge \orange{ \boxed{= \frac{ - 2 {x}^{2} + 19x + 3 }{3 {x} (4x^{2} - 9 )} }}[/tex]

Find the square root of -90

Answers

Answer:

Negative numbers cannot have square roots.

Step-by-step explanation:

Anything multiplied by itself will always equal a positive number, not negative.

don’t look at graph... can someone answer

Answers

Answer:

Pretty much, it's just 46 times 7. So, you can do 322 jumping jacks in 7 minutes.

Please mark me as Brainliest, I need it to move onto the next level. =D

Analysing the Question:

We are given the function:

f(x) = 46x

where x is the number of minutes and f(x) is the number of jumping jacks in the given number of minutes

Number of jumping jacks in 7 minutes:

replacing x with number of minutes (i.e, 7). We get:

f(7) = 46*7

f(7) = 322 jumping jacks

If you can explain please do.
I will give brainliest

Answers

We know that:

h(x) = 2x - 1

g(x) = 3x + 1

We are trying to find h(x) / g(x)

(h/g) (x) = (2x - 1) / (3x + 1)

This is simplest form.

Please help me its 10 points!! I linked a photo too. I

Answers

your other numbers would be 27, 121, and 115. because these numbers cannot be broken down anymore then they already are.

In southern California, a growing number of individuals pursuing teaching credentials are choosing paid internships over traditional student teaching programs. A group of eight candidates for three local teaching positions consisted of five who had enrolled in paid internships and three who enrolled in traditional student teaching programs. All eight candidates appear to be equally qualified, so three are randomly selected to fill the open positions. Let Y be the number of internship trained candidates who are hired.
a. Does Y have a binomial or hypergeometric distribution? Why?
b. Find the probability that two or more internship trained candidated are hired.
c. Find the standard deviation and mean of Y.

Answers

Answer:

A) Hypergeometric

B) P( X ≥ 2) = 0.7143

C) Standard deviation: σ = 0.7087

Mean = 1.875

Step-by-step explanation:

A) Y has Hypergeometric distribution. This is because, the population is not definite and is largely a finite number of people that have one of the two characteristics. Also, a sample of 8 was selected from this population and a random variable of interest that contained the number of people with one of the characteristics.

B) We are told total candidates were 8.

Thus; N = 8

3 were for local teaching positions, thus; n = 3

5 were for paid internship, thus; r = 5

Now, the formula for Hypergeometric distribution is;

P(y) = {(rCy) × [(N-r)C(n-y)]}/(NCn)

Where C represents combination.

Thus, probability that two or more candidates were hired is;

P( X ≥ 2) = P(2) + P(3)

Now, N - r = 8 - 5 = 3

For P(2); n - y = 3 - 2 = 1

For P(3); n - y = 3 - 3 = 0

Thus;

P(2) = {(5C2) × (3C1}/(8C3)

P(2) = 30/56

P(2) = 0.5357

P(3) = {(5C3) × (3C0}/(8C3)

P(3) = 10/56

P(3) = 0.1786

Thus;

P( X ≥ 2) = 0.5357 + 0.1786

P( X ≥ 2) = 0.7143

C) Formula for standard deviation in Hypergeometric distribution is;

σ = √[(nr/N) × ((N - r)/n) × ((N - n)/(N - 1))]

nr/N = (3 × 5/8) = 15/8

((N - r)/N) = (8 - 5)/8 = 3/8

((N - n)/(N - 1)) = (8 - 3)/(8 - 1) = 5/7

σ = √((15/8) × (3/8) × (5/7))

σ =√0.5022

σ = 0.7087

Formula for mean in Hypergeometric distribution is;

E(Y) = nr/N = 3 × 5/8 = 1.875

Which of the following is a true statement?
6/9 = 1/3
1/4 > 1/3
13/15 > 4/5
5/6 > 10/12

Answers

Answer:

13/15 > 4/5 is a true stament.

Step-by-step explanation:

The left side is 0.86 repeating turned into a decimal. which means 0.86 is greater than the right which the right is 0.8 turned into a decimal. which in this case this means that the given stament is always true.

What is an equation of the line that passes through the points (-3,-5) and
(-3,-8)?

Answers

Answer:

x = -3

Step-by-step explanation:

The line just passes through x = -3 so, it's parallel to the Y-vector.

If product of two numbers=384HCF=8,2cm=?​

Answers

Answer:

96 and 288

Step-by-step explanation:

So, we need to find 2 numbers such that their sum is 8 and they do not have common factor (Relatively prime). Both these numbers will be divisible by 48 but there would be no other common divisor (after dividing by 48).

Such order independent pairs are (1,7) and (3,5).

Difference between them would be (7–1)*48=6*48 and (5–3)*48=2*48 respectively.

The differences are 6*48=288 and 2*48=96.

We have found difference without finding numbers.

Ans.: 96 and 288

p.s.: The number pairs (again order neutral) would be (48, 336) and (144, 240)

Difference for 48 and 336 add up to 384, their HCF is 48. These two numbers match the conditions. Their difference is 288.

Difference of 144 and 240 add up to 384, their HFC is 48 (the numbers are 48*3 and 48*5, common factor is 48 and no other common factor for 3 and 5; 48 is HCF). The difference is 96.


Hannah invested $35,000 in a mutual fund that earns 6% interest per year compounded annually. To the nearest dollar, how much was her investment worth after 3 years?

Answers

Answer:

the answer is 41,685.56 but rounded to the nearest dollar is 41,686

Step-by-step explanation:

hope this helps

Help me! What is the value of x in the matrix equation below?

Answers

Answer:

A. -3

Step-by-step explanation:

edge test

The value of x in the matrix equation comes to be 1.

What is a matrix?

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object.

The given matrix equation is:

[tex]-2\left[\begin{array}{cc}x&-1&3&5\\\end{array}\right] + \left[\begin{array}{cc}3&8&-1&6\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]

Multiply -2 with each element of the first matrix i.e. first matrix on the left side of the equation followed by the addition of matrices we get:

[tex]\left[\begin{array}{cc}-2x+3&2+8&-6-1&-10+6\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]

[tex]\left[\begin{array}{cc}-2x+3&10&-7&-4\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]

On comparing both matrices

-2x+3 = x

3x=3

x=1

Hence, the value of x in the matrix equation comes to be 1.

To get more about matrices visit:

https://brainly.com/question/1821869

what is the area in hectares of a triangular field whose base is 1310 m and height is 800 m ​

Answers

the answer should be A=5.24×105m²

the missing number in the series?
4, 18, ?, 100, 180, 294, 448
A) 48
B) 50
C) 58
D) 60

Answers

A)48

Explanation:

2^3 - 2^2 = 8 - 4 = 4
3^3 - 3^2 = 27 - 9 = 18
4^3 - 4^2 = 64 - 16 = 48
5^3 - 5^2 = 125 - 25 = 100
6^3 - 6^2 = 216 - 36 = 180
7^3 - 7^2 = 343 - 49 = 294
8^3 - 8^2 = 512 - 64 = 448

a number increased by 8 is equal to 48

Answers

Answer:

6

Step-by-step explanation:

if you do 48 divided by 8 it equals 6 so therefore the number that would increase it would be 6 because 6x8 equals 48.

hope this helps

Maddy made $22.50 for babysitting for 5 hours for her aunt. Maddy was paid $21.00 for 3.5 hours of babysitting for her neighbor. How much more per hour does Maddy’s neighbor pay than her aunt?
A. $1.00/hr
B. $1.50/hr
C. $2.00/hr
D. $2.50/hr

Answers

B. $1.50/hr
Hope this helps!!!!!

Answer: B.1.50

Step-by-step explanation:

22.50 divided by 5 = 4.5

21.00 divided by 3.5 = 6.0

           6 - 4.5 = 1.50

This will tell us the differences in

  how much money they made.

Which expression is equivalent to i233?

Answers

Answer:

radical sign of -233

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have to find the value of the expression i^{233}i

233

We know that the below values.

i

2

=−1

i

4

=1

Hence, in order to find the value of the given expression, we can first rewrite it in terms of i^4i

4

i^{233}=(i^4)^{58}

233

=(i

4

)

58

⋅i

Now, we know that i^4=1i

4

=1

Hence, we have

i^{233}=(1)^{58}

233

=(1)

58

⋅i

i^{233}=

233

=1⋅i

i^{233}=ii

233

=i

Which shows another way to write 9.54?
O 0.5 + 0.04
O 9+ 0.4 + 0.05
O (9 * 1) + (5 x 0.1) + (4 x 0.01)
O (9 x 0.1) + (5 x 0.01) + (4 x 0.001)

Answers

Answer:

It would be C

Step-by-step explanation:

Simplify: (8u^3−9u^2y)−(−4uy^2−8y^3)+(10u^2y+11uy^2).

Answers

Answer:

8u

3

+10u

2

y

˙

9u

2

y+11uy

2

+

˙

4uy

2

+8y

3

Answer:

[tex]8u^{3}+u^{2} y+15uy^{2}+8y^{3}[/tex]

Step-by-step explanation:

You must combine like terms:

[tex](8u^{2}-9u^{2}y)-(-4uy^{2}-8y^{3})+(10u^{2}y+11uy^{2})= \\8u^{3} -9u^{2} y+4uy^{2} +8y^{3}+10u^{2}y+11uy^{2}\\\\10u^{2}y-9u^{2} y= u^{2}y \\4uy^{2}+11uy^{2}= 15uy^{2} \\\\8u^{3} -9u^{2} y+10u^{2} y+4uy^{2} +11uy^{2} +8y^{3} =8u^{3} +u^{2} y+15uy^{2} +8y^{3}[/tex]

That was no help what is it

Answers

Answer:

I am confused in many ways

The equation of line g is y = -6/7x + 3 line h is parallel to line g what is the slope of line h

Answers

Answer:

It should be -6/7 because parallel lines have the same slope

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