Mathematics High School

Give the values of a, b, and c from the standard form of the equation (2x + 1)(x - 2) = 0.
A. a = 3, b = 1, c = -1
B. a = 2, b = 5, c= -2
C. a = 2, b = -3,c = -2

Answers

Answer 1

Given:

The equation is:

[tex](2x+1)(x-2)=0[/tex]

To find:

The values of a, b and b from the standard form.

Solution:

The standard form of a quadratic equation is:

[tex]ax^2+bx+c=0[/tex]            ....(i)

We have,

[tex](2x+1)(x-2)=0[/tex]

In can be rewritten as

[tex]2x(x)+(2x)(-2)+(1)(x)+(1)(-2)=0[/tex]

[tex]2x^2-4x+x-2=0[/tex]

[tex]2x^2-3x-2=0[/tex]             ...(ii)

On comparing (i) and (ii), we get

[tex]a=2,b=-3,c=-2[/tex]

Therefore, the correct option is C.

Related Questions

What is the value of x?

Answers

Answer:

x = 64

Step-by-step explanation:

2x = 128

x = 64

Answer:

hi

Step-by-step explanation:

i think so

128⁰+2x⁰=180⁰

2x⁰=180⁰-128⁰

2x⁰=52⁰

x=52/2

x=26⁰

hope it helps

have a nice day

Which of these is an example of due process?

a search without good reason

a prejudiced jury

a cruel punishment

a fair trial

Answers

Answer:

A fair trial.

Answer:

Step-by-step explanation: a search without good reason

help help help help help
A=√18-√8+√50
Write A in the form m√2 where m is an integer​

Answers

Answer:

6√2

Step-by-step explanation:

A=3√2-2√2+5√2

A=6√2

Answer:

6√2

Step-by-step explanation:

A=√18-√8+√50 = √9√2 - √4√2 + √2√25, or A = (√2)(3 - 2 + 5) = 6√2

Multiply. Write your answer as a fraction in simplest form.
−1(45)=
asap

Answers

Answer:

-9/20

put 45 over 100, then divide them both by 5.

Please help me do this

Answers

Answer:

∠ U = 60°

Step-by-step explanation:

The tangent- tangent angle U is half the difference of its intercepted arcs

minor arc VT = 120° , then

major arc VT = 360° - 120° = 240°

Then

∠ U = [tex]\frac{1}{2}[/tex] (240 - 120)° = [tex]\frac{1}{2}[/tex] × 120° = 60°

The sophomore class needs a combined total of 216 medium and large t-shirts for field day. The number of medium t-shirts needed is three times the number of large t-shirts needed. Based on this information, would it be reasonable for the sophomore class to order 72 large t-shirts and 144 medium t-shirts? A. No, because the number of medium t-shirts is not 3 times the number of large t-shirts B. No, because the number of large t-shirts is not 3 times the number of medium t-shirts C. Yes, because the total number of t-shirts is 216 D. Yes, because the number of large t-shirts is of the total number of t-shirts​

Answers

It could be c as your answer

Find x. PQR = MNR ...............

Answers

Answer:

x = 55

Step-by-step explanation:

<QRP = <NRM because of vertical angles

To find <NRM:

x + 35 + 90 = 180

x + 125 = 180

x = 55

<NRM = 55

<QRP or x = 55

The cost of renting a car is represented by C=8.5h+25.5, where C is the cost in dollars and h is the number of hours rented.
If Peter rents a car and pays a cost of $85, how many hours did he rent it for?

Answers

he would have rented the car for 7 hours

1.-28 -20 help me plsss

Answers

If you mea. 1 . -28 - 20 then the answer is going to be

[tex]1. - 48[/tex]

but if you mean -28 -20 the the answer is going to be

[tex] - 48[/tex]

HELLO!! I NEED HELP! Please show full Solutions. I will mark brainliest for the best answer. Thank you and god bless.

Answers

((x+2)(x+2))-((x-5)(1))=A

x^2+4x+4-x+5=A

x^2+3x+9=A

find the missing side lenght of the triangle below

Answers

Answer:

12

Step-by-step explanation:

5^2 + x^2 = 13^2

x = 12

Answer:

12

Step-by-step explanation:

Use Pythagorean theorem

[tex]a^2 +b^2 =c^2[/tex]

c= always hypotenuse/ longest side/ side across from right angle = 13

a= 5

[tex]5^2+b^2=13^2[/tex]

[tex]25+b^2=169[/tex]

Subtract 25 from 169

[tex]b^2= 144[/tex]

Square root both sides

b= 12

--------

it's also a special triangle known as a 5, 12, 13 triangle

Ana spends 0.45 of her homework time reading. What is 0.45 as a percent? Explain.

Answers

Answer:

45%

Step-by-step explanation:

Can anyone help me on this question???

Answers

Answer:

Step-by-step explanation:

Answer is B , only you can decide how to spend your money.

please help me i don’t know te anser

Answers

A=b h................

Answer:

A = 20

Step-by-step explanation:

A = bh

b = 4

h = 5

4 × 5 = 20

-
Finding slope given two points on the line
Find the slope of the line passing through the points (-4, 6) and (3, -8).

Answers

slope(m) = -2 hope this helps

Answer:

The slope is -2

Step-by-step explanation:

Hi there!

We are given the points (-4, 6) and (3, -8)

We want to find the slope (m) of the line that passes through these points

We can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] to calculate the slope, where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes.

[tex]x_1=-4\\y_1=6\\x_2=3\\y_2=-8[/tex]

Now substitute into the formula

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-8-6}{3--4}[/tex]

Simplify:

m=[tex]\frac{-8-6}{3+4}[/tex]

m=[tex]\frac{-14}{7}[/tex]

Divide

m = -2

The slope of the line is -2

Hope this helps!


See more on calculating slope from 2 points here:  https://brainly.com/question/26738734

Which is a number that can be written as a fraction in the form ?

Answers

Rational Numbers: Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. An integer can be written as a fraction simply by giving it a denominator of one, so any integer is a rational number.

Hope this helps!

Mio calculated the volume in this way : V = 12 • 5

Explain what the 12 and 5 represent in the figure.

Answers

5 represents the height and the 12 is from 4×3

Solve for x. round your answer to the nearest tenth
Trigonometry ​

Answers

Answer:

[tex]\displaystyle x \approx 16.5[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Define

Angle θ = 70°

Opposite Leg = x

Adjacent Leg = 6

Step 2: Solve for x

Substitute in variables [tangent]:                                                                     [tex]\displaystyle tan70^\circ = \frac{x}{6}[/tex][Multiplication Property of Equality] Isolate x:                                                [tex]\displaystyle 6tan70^\circ = x[/tex]Rewrite:                                                                                                             [tex]\displaystyle x = 6tan70^\circ[/tex]Evaluate:                                                                                                           [tex]\displaystyle x = 16.4849[/tex]Round:                                                                                                               [tex]\displaystyle x \approx 16.5[/tex]

angle A and angle B are complementary angles. If m angle A = (6x – 8)° and m
angle B = (5x + 21)°, then find the measure of angle B.

Answers

Answer: B = 56 degrees

Step-by-step explanation: Complementary angles add up 90 degrees. So we will set both of the equations equal to 90 degrees and then solve from there.

6x+8+5x+21=90

1. Simplify 5x + 6x and 21 - 8

11x+13=90

 

2. Subtract 13 from both sides.

11x=90-13

 

3. Simplify 90-13 to 77.

11x=77  

4. Divide both sides by 11.

x = 77/11

​    

5. Simplify 77/11 to 7

 x=7

Now we have to take the value of x and substitute it back into B = (5x+21)

1. Substitute

B = (5(7)+21)

B = 35 +21

B = 56

HOPE THIS HELPS :)


someone please help me

Answers

Answer:

A. 20ft

Step-by-step explanation:

Answer:

d. 98.5

Step-by-step explanation:

Triangles:

5 x 4 = 20/2 = 10

Circle:

5² x 3.14 = 78.5

Add both of them 98.5

Jen collects stamps. The first month she added 25 stamps. Six months later, she doubled in number to a total of 98. How many stamps did she have to start her collection?

Answers

Answer:

49

Step-by-step explanation:

find the unit price to the nearest tenth of one cent. 12-ounce can of cola for 60 cents

Answers

Answer:

1 ounce is 0.05

Step-by-step explanation:

What is the height of the cylinder in the diagram? Round your answer to the nearest whole number.

Answers

Answer:

8 is the height

Step-by-step explanation:

please mark this answer as brainlest


Reese is selling lemonade at the parade. He gets to keep 50% of the money he collects. A large lemonade is
$5.00 and a small lemonade is $2.00.

The expression represents 50%
of the money he collects

.0.50(5l + 2s)

Use the Distributive Property to expand the expression.

Answers

Answer:

.5(5I)+.5(2s)

Step-by-step explanation:

if a x b = a/b - 1, then 7 x 28

Answers

Answer:

Do you have answer choices. guess

Step-by-step explanation:

For a beverage, Lisa mixes cups of lemonade to cups of iced tea in a ratio of 2:5. Which of the following best describes the amount of lemonade to iced tea?

For every 2 cups of lemonade, there are 3 cups of iced tea.
For every 2 cups of lemonade, there are 5 cups of iced tea.
For every 3 cups of lemonade, there are 2 cups of iced tea.
For every 5 cups of lemonade, there are 2 cups of iced tea.

Answers

Answer:

Answer 2 would be true.

Step-by-step explanation:

Because our ratio is 2:5 (or 2 to 5 for easier understanding) we know that every 2 cups we use of lemonade, we pair with 5 cups of tea.

Answer:

The answer is B

Step-by-step explanation:

For every 2 cups of lemonade, there are 5 cups of iced tea.

Divide.

389.5÷104
plz i need help

Answers

Answer:

The answer is 3.74519230769

Please answer this and my recent questions if you can

Answers

Answer:

x is 15

Step-by-step explanation:

b is 75 hope this helps you

............................

Answers

Answer:

Thaey are proportional

Step-by-step explanation:

PLZ HELP NEED BY TODAY!!

Answers

Step-by-step explanation:

Given 5x + 8 = 118 (vertically opposite angles)

[tex]5x + 8 = 118 \\ 5x = 118 - 8 \\ 5x = 110 \\ x = 110 \div 5 \\ = 22[/tex]

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