Write a quadratic equation in STANDARD FORM given the roots:
1, 1/2

Answers

Answer 1

Answer:

f(x) = 2x^2 - 3x + 1

Step-by-step explanation:

The root 1 is associated with the factor (x - 1).

The root 1/2 is associated with the factor (x - 1/2), which in turn is equivalent to (2x -1)

The quadratic in question is f(x) = (x - 1)(2x - 1).  To write this in standard form, perform the indicated multiplication:

f(x) = 2x^2 - 2x - x + 1, or f(x) = 2x^2 - 3x + 1


Related Questions

Among all rectangles that have a perimeter of 202, find the dimensions of the one whose area is largest. Write your answers as fractions
reduced to lowest terms.

Answers

Answer:

How to write by fraction? 50 1/2 by 50 1/2

Step-by-step explanation:

the maximum area for a rectangle is a square.

To find a square with p = 202, divide it by 4,

202 / 4 = 50.5

Betsy's high school is putting on a production of a play as a fundraiser for the school's music programs. A local bank has agreed to
allow the school to use a line of credit from which they can withdraw money to pay for the play. Then, any deposits they make at the
bank will be applied to the negative balance of the credit account.
The play cost $2,500.00 to produce, and they intend to sell tickets for $7 each. After the play, Betsy will take the ticket proceeds and
deposit them with the bank. If 559 people attend the play's opening night, what will the balance of the bank account be?

Answers

What’s the answer? Bestie can someone tell me it

Subtract the following complex numbers:
(4 + 4i) - (13 + 17i)

Answers

Answer: -9 - 13i

Hope this helped!

Drag each capacity to match it to an equivalent capacity.
24 cups
1 gallon
16 fluid ounces
6 pints
Capacity
Equivalent Capacity
2 cups
96 ounces
12 pints
4 quarts



HELP ME

Answers

Answer:

2 cups         ⇔ 16 fluid ounces 96 ounces   ⇔ 6 pints 12 pints        ⇔ 24 cups 4 quarts       ⇔ 1 gallon

Also see attached

Answer:

Solution:

2 cups=16 fluid ounches

96 ounces=6pints

12 pints=24cups

4 quarts=1 gallon

Select all expressions that are equivalent to 7x + 4 - (2x - 5).
A: 7x + 4 - 2x -5
B: 7x + 4 - 2x + 5
C: 7x + 4 + (-2x) - (-5)
D: 9x + 9
E: 5x -1
F: 5x + 9

Answers

Answer:

B, C, F

Step-by-step explanation:

7x + 4 - (2x - 5) = 7x - 2x + 4 + 5 or 5x + 9

The solution is, B: 7x + 4 - 2x + 5, C: 7x + 4 + (-2x) - (-5), F: 5x + 9, are the expressions that are equivalent to 7x + 4 - (2x - 5).

What is  simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

the expression is :

7x + 4 - (2x - 5)

now, we have to simplify this to get the equivalent expressions.

so, we have,

7x + 4 - (2x - 5)

= 7x + 4 - 2x + 5

(Removing the brackets)

=7x + 4+ (-2x) - (-5)

= 7x + (-2x) +4 - (-5)

=5x +4 + 5

= 5x + 9

so, the equivalent expressions are, B,C,F.

Hence, The solution is, B: 7x + 4 - 2x + 5, C: 7x + 4 + (-2x) - (-5), F: 5x + 9, are the expressions that are equivalent to 7x + 4 - (2x - 5).

To learn more on simplification click:

brainly.com/question/28996879

#SPJ3

Help pleaseeeeeeeeeee

Answers

Answer:

d

Step-by-step explanation:

Answer:

km/hr

Hope that helps! :)

Step-by-step explanation:

A sociologist recorded the number of contacts entered in a cell phone and the number of texts sent in a week for 20 cell phone users. The resulting data were used to conduct a hypothesis test to investigate whether there is a linear relationship between the number of contacts and the number of texts sent. What are the correct hypotheses for the test?

a. H0:β1=0 Ha:β1≠0

b. H0:β1=0 Ha:β1>0

c. H0:β1=0 Ha:β1<0

d. H0:β1≠0 Ha:β1=0

e. H0:b1=0 Ha:b1≠0

Answers

The correct option for the hypotheses for the test is a. H0: β1 = 0 Ha: β1 ≠ 0

What is Statistic?

The statistic is the study of mathematics that deals with relations between comprehensive data.

Here,

The correct hypotheses for testing the linear relationship between two variables can be stated as:

H0: β1 = 0 (there is no linear relationship between the number of contacts and the number of texts sent)

Ha: β1 ≠ 0 (there is a linear relationship between the number of contacts and the number of texts sent)

Therefore, the correct option for the hypotheses for the test is a. H0: β1 = 0 Ha: β1 ≠ 0

Learn more about statistics here:

https://brainly.com/question/15236063

#SPJ2

Select the expression that represents the following statement: 3 times one fourth the difference of 26 and 10. (4 points)

one fourth x (26 + 10) x 3
one fourth x (26 − 10) x 3
3 x one fourth x 26 − 10
3 x one fourth x 26 x 10

Answers

3 x one fourth x 26 - 10

Which of the following is the graph of the function shown above?

Answers

it’s the second or either the forth graph

The volume of a rectangular prism is 50 5/8 cubic inches.

The dimensions are given below.

What is the missing value in the table?

--------------------------------------------------------------

Length Width Height

5 in. 214 in.

--------------------------------------------------------------

A) 79in.

B) 412in.

C) 134in.

D) 1018in.

Answers

mcyt mcyt mcyt mcyt mcyt

9+q<15 solve the inequalitie

Answers

Answer:

q < 6

Step-by-step explanation:

9 + q < 15                                                                                                                 subtract 9 from both sides        

FOR BRANLIEST PLEASE HELP!!

Answers

Answer:

55

Step-by-step explanation:

complementary angle means either of two angles whose sum is 90°.

we can use this to find that angle abc is 55 and since angle abc and ebf are opposite the measure the same

The question is on the ss btw

Answers

Answer:

The shop

Step-by-step explanation:

Given

Shop

[tex]Cost = E9[/tex]

[tex]Bag = 12.5kg[/tex]

Supermarket

[tex]Cost=E1.83[/tex]

[tex]Bag = 2.5kg[/tex]

Required

The better value

To do this, we simply calculate the unit price.

This is calculated as:

[tex]Unit = \frac{Price}{Bag}[/tex]

So, we have:

Shop

[tex]Unit = \frac{9}{12.5}[/tex]

[tex]Unit = 0.72[/tex]

Supermarket

[tex]Unit = \frac{1.83}{2.5}[/tex]

[tex]Unit = 0.732[/tex]

At the shop, the unit price is £0.72 per bag while at the supermarket, the unit price is £0.732

The best value is at the shop, because it is cheaper

i.e.

[tex]0.72 < 0.732[/tex]

What is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet? Be sure to convert so you are using like units.

Answers

Answer:

The height of the tank is 0.5 yards.

Step-by-step explanation:

To determine what is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet, knowing that the volume of a cylinder is equal to pi multiplied by the radius squared, multiplied by the height, the following calculation must be done:

1 foot = 0.3333 yards

R = Diameter / 2

R = 120/2 = 60

3.14 x 60 ^ 2 x H = 1,884

3.14 x 3,600 x H = 1,884

3.14 x 1,200 x H = 1,884

3.768 x H = 1.884

H = 1,884 / 3,768

H = 0.5

Therefore, the height of the tank is 0.5 yards.

Mrs.biillitti bought 3 pounds of red grapes and 2.5 all grapes cost $1.28 per pound how much money did she spend

Answers

Answer:

$9.60

Step-by-step explanation:

2.5 x 3=7.5

7.5 x 1.28=9.6

so the answer would be $9.60 I think.

The first sequence rule is add 5 starting from 20. The second sequence rule is subtract 7 starting from 56. What is the first number that appears in both sequences?

25
28
42
35

Answers

Answer:

35

Step-by-step explanation:

its the 4th step your welcome

20-25-30-35

56-49-42-35

Answer: 35 I got it correct on the quiz

Step-by-step explanation:

HELP ON BOTH HAVE 2 MINUTE'S LEFT. NO LINKS. I JUST NEED SIMPLE ANSWERS

Answers

Answer:

Q1: 48

Q2: 59

Step-by-step explanation:

Answer:

1. 48

2. 53

you can see that they are the same length as the one across from it so what the one across from it, is the answer

Pls help I will mark branliest

Answers

Answer:

Step-by-step explanation:

Point Z is the incenter of triangle RST. Point Z is the incenter of triangle S R T. Lines are drawn from the points of the triangle to point Z. Lines are drawn from point Z to the sides of the triangle to form right angles and line segments Z A, Z B, and Z C. Angle A S Z is (5 x minus 9) degrees and angle Z S B is 16 degrees. What is the value of x? x = 2 x = 3

Answers

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

SZ is the angle bisector of angle S, so ...

  ∠ASZ = ∠ZSB

  5x -9 = 16

  5x = 25 . . . . . . add 9

  x = 5 . . . . . . . . .divide by 5

Answer:

C

Step-by-step explanation:

mhm

Regina writes the expression y+9 ∙ 34. Which expression is equivalent to the one Regina writes?
None of these
(9 ∙ 3÷4)+y
(y+9)(3÷4)
9+y ∙(3÷4)

Answers

None 34 cannot turn into 3/4

0=12X²-64X+20 quie me puede hacer el favor de realizarmelo​

Answers

Answer:

x = 1/3 , 5

Step-by-step explanation:

Factoriza y establece cada factor igual a cero.

5) True or False: Absolute Value can never be negative * O True False​

Answers

Answer:

True

Step-by-step explanation:

Absolute value tells the distance a number is from 0.

[tex]|7|=7[/tex] because 7 is 7 units away from 0.

[tex]|-13|=13[/tex] because -13 is 13 units away from 0.

[tex]|0|=0[/tex] because 0 is 0 units away from 0

Absolute value always produces a number greater than or equal to 0, never negative.

What is the value of g(0)
a. 1
b. 0
c. 8
d. 4

Answers

Answer:

c. 8

Step-by-step explanation:

1)  [tex]g(x)=8(\frac{1}{2} )^{x}[/tex]

2)  [tex]g(0)=8(\frac{1}{2} )^{0}[/tex]

3)  [tex]g(0)=8*1[/tex]

4)  [tex]g(0)=8[/tex]

Find the area of each figure. Round to the nearest tenth if necessary

Answers

Answer:

c. 143.8 m³

Step-by-step explanation:

The figure can be decomposed into a semicircle and a trapezoid

Area = area of semicircle + area of trapezoid

= ½(πr²) + ½(a + b)h

Where,

r = ½(9) = 4.5 m

a = 9 m

b = 23 m

h = 7 m

Area of the figure = ½(π*4.5²) + ½(9 + 23)7

Area of the figure = 31.81 + 112

= 143.8 m³

ANSWER THIS PLEASE!!!!

Answers

Answer:

J

Step-by-step explanation:

Done.

If using the method of completing the square to solve the quadratic equation
x2 + 3x + 21 = 0, which number would have to be added to "complete the
square"?

Answers

Answer:

8

Step-by-step explanation:

Answer:-18.75

Step-by-step explanation:x^2+3x+21-18.75=x^2+3x+2.25=

(x+1.5)^2=-18.75

can someone please explain how to do this? ​

Answers

Answer:

14)

tan θ = BC/AC = 9/13θ = arctan (9/13)θ = 34.7°

15)

cos 45° = 14/xx = 14 / cos 45°x = 19.8

I WILL MARK BRAINLIEST IF CORRECT! Look at the image below.

Answers

Answer:

C 1/10 × 33

D 0.1 × 33

Hope that helps

which exprssion can we use to convert 40 ounces to pouds

Answers

Answer:

2.5

Step-by-step explanation:

40 ounces = 2 12 pounds

So, 40 ounces = 4016 = 2 12 or 2.5 pounds.

Hope this helps and sorry if it doesn't

Can I get brainliest

To covert any value in ounces to pounds, just multiply the value in ounces by the conversion factor.

Hope this helps :)

express(16^5)^1/4 in simplest radical form.

Answers

radical form: 4√16^5

Answer:

32

Step-by-step explanation:

Hello, in (16^5)^1/4, you would multiply the exponents together like this:

16^5 x 1/4= 16^5/4

The exponents multiplied make 5/4. Now you need to multiply 16 with 5/4 like this:

16 x 5/4= 80/4

80 divided by 4 is 32 so therefore, the answer is 32.

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