What are quadratic equations? What are some examples?

Answers

Answer 1

Answer:Examples of quadratic equations are: 6x² + 11x – 35 = 0, 2x² – 4x – 2 = 0, 2x² – 64 = 0, x² – 16 = 0, x² – 7x = 0, 2x² + 8x = 0 etc. From these examples, you can note that, some quadratic equations lack the term “c” and “bx.”

Step-by-step explanation:

Answer 2

A quadratic equation in the variable x is an equation of the form ax^2 + b x + c = 0, where a, b, c are real numbers, a ≠ 0.

What are quadratic equations?

Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations.

The standard form of a quadratic equation is;

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax^2 + bx + c where a, b, c, ∈ R and a ≠ 0.

These are the following examples of the quadratic equation;

x^2-2x

x^2+5x+6

x^2-5x

Any equation of the form p (x) = 0, where p (x) is a polynomial of degree 2, is a quadratic equation.

If we write the terms of p (x) in decreasing order of their degrees, then we get the standard form of the equation.

Learn more about quadratic equations here;

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Related Questions

Given \tan A=\frac{11}{60}tanA=
60
11

and that angle AA is in Quadrant I, find the exact value of \cos AcosA in simplest radical form using a rational denominator.

Answers

Answer: 60/61

Step-by-step explanation:

Show that the triangles are similar and write a similarity statement.
pls help...

Answers

Step-by-step explanation:

BC / EC = 21/14 = 3/2.

AC / CD = 27/18 = 3/2.

Angle ACB and ECD are congruent because they are vertical angles.

This means that triangle ABC is similar to triangle DEC by SAS.

If B = -6

What is b² - 5b - 7?

Answers

Answer:

59

Step-by-step explanation:

[tex](-6)^2-5(-6)-7[/tex]

[tex]36+30-7[/tex]

[tex]59[/tex]

What is the slope of the line containing the points (-1, -2) and (3, -5)? A. B. C. D.

Answers

Answer:

-7/4

Step-by-step explanation:

(-1,2) (3,-5)

x1 y1 x2 y2

-5-2=-7

3-(-1)=4

-7/4

A pair of pants has been marked down from $36 to $27.

Answers

Answer:

Step-by-step explanation:

The percentage decrease is 25% or 36 subtract 27 gives you 9

Write -4/5 as a decimal number

Answers

-0.8


explanation:
-0.8
-.8 is the answer

For some reason it’s making me write more words. Just ignore this, the answer is above

Hope this helped <3

Choose the student with the correct answer. Pls Help ;-;

Answers

Answer:

Frida

Step-by-step explanation:

y = 1000(2)^x

Mrs. Smith is saying that the number of termites will double each week, and Mr. Smith is saying that the number of termites will increase by 100% each week.

Let's just look at (2)^x. If we substitute numbers for x, we get:

x = 1 ⇒ 2x = 2 ⇒ 4 x = 3 ⇒ 8 x = 4 ⇒ 16x = 5 ⇒ 32x = 6 ⇒ 64x = 7 ⇒ 128

We can see that the output number doubles by 2, or in other words, increases by 100% of its value.

Therefore, Frida is correct in thinking that both Mr. and Mrs. Smith's interpretations are correct.

Can someone please help me? It's 1:16am and its due at 7:15am. I've got school.

Answers

Answer:

2 v 13, 2 Square root 13

Step-by-step explanation:

there's 2 right triangles

a)

10^2 = 6^ + a^2

100 - 36 = a^2

64 = a ^2

a = 8

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

now we know the base of the right triangle = 8

and also the base of the left one = 4

8 + 4 = 12

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

now find x

b)

x^2 = 6^2 + 4^2

x^2 = 36 + 16

x^2 = 52

x = (square root) 52

x = 2 v 13     <---- "v = square root"

Question :- Find the unknown side .

Instructions :- Simplify the answer if there is square root

Given :- Two triangles Total length of the base 12 First triangle dimensions10 as it's hypotenuse6 as it's perpendicular

Answer:- X = ✓ 52 = 7.2

Explanation:-

Formula :-

hypotenuse² = perpendicular²+base²

Solution:-

First triangle:-

[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ {10}^{2} = {6}^{2} + {b}^{2} \\ 100 = 36 + {b}^{2} \\ 100 - 36 = {b}^{2} \\ 64 = {b}^{2} \\ 8 = b[/tex]

Second triangle

perpendicular = 6 hypotenuse = X ( to Find )base = 12-b = 12-8= 4

[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ {x}^{2} = {6}^{2} + {4}^{2} \\ {x}^{2} = 36 + 16 \\ {x}^{2} = 52 \\ x = \sqrt{52} = 7.2 \\ x = 7 \: \: approx[/tex]

The radius of a semicircle is 4 miles. What is the semicircle's area?

Answers

Answer:

8[tex]\pi[/tex] miles or 25.133 miles

Step-by-step explanation:

your radius is 4 miles.

The area of a circle is A= [tex]\pi r^{2}[/tex]

Therefore, the area of this circle is [tex]4^{2} \pi[/tex], or 16[tex]\pi[/tex]

Half of this area, because what you're looking for is a semi-circle, is:

8[tex]\pi[/tex] (exact) or 25.133 (rounded) miles.

what steps are used to solve this equation x/2=7 complete each statement​

Answers

Answer:

x=14

Step-by-step explanation: Multiply all terms by the same value to remove denominators from fractions,Cancel the multiplied terms that are in the denominator, Multiplica los números

Consider the enlargement of the complex figure. 2 complex figures. a corresponds to 18 centimeters, b corresponds to 24 centimeters, and a side with length 14 meters corresponds to a side with length 42 feet. what can be concluded about the scale factor and missing measures? check all that apply. the scale factor is 3. the scale factor is one-third. add the scale factor to 18 and 24 to find a and b’s lengths. subtract the scale factor from 18 and 24 to find a and b’s lengths. multiply 18 and the scale factor to find a’s length. divide 24 by the scale factor to find b’s length.

Answers

Answer:

The scale factor is 3 and Divide by 24 to find b's length.

Step-by-step explanation:

I think this is the answer

(Im just a bored high schooler searching this up) :P

Answer:

it’s The first and the last

Step-by-step explanation:

What are the new coordinates of the figure above if it is dilated by a scale factor of 4, with the origin as the center of dilation ?

A. A’ (-1,-4), B’(-4,4), C’(2,-4)

B. A’(-4,-1), B’(-4,4),C’(8,-1)

C. A’(-5,-5), B’(-5,5),C’(6,-5)

D. A’(-4,-4), B’(-4,4)C’(8,-4)

Answers

Answer: D

Step-by-step explanation:

Skye plans to attend a 4-year public university. She will receive $4,300 in scholarships and grants each year, and she will earn $2,100 each year through a work study program.




Including her financial aid, what is Skye’s estimated cost per year? $


Skye’s family will contribute $7,000 each year. How much will Skye need to contribute? $


If Skye currently has $0 in savings, she will need to save $

each month.

If Skye currently has $1,000 in savings, she will need to save $

each month.

If Skye currently has $2,500 in savings, she will need to save $

each month

Answers

Answer:

1.95

Step-by-step explanation:

Carlos paid for 7 pallets of grass to be delivered.

Each pallet of grass cost $108.25.
Carlos paid $89.99 for delivery.
What is the total amount Carlos paid?

Answers

Answer:

$847.74

Explanation:

Each pallet → $108.257 pallets → $108.25 * 7 = $757.75

total cost:

7 pallets cost + delivery cost $757.75  + $89.99$847.74

Answer:

$847.74

Step-by-step explanation:

Given:

Cost of one pallet = $108.25Delivery charge = $89.99 Number of pallets in order = 7

Total amount paid = (cost of one pallet x number of pallets ordered) + delivery charge

⇒ total = (108.25 x 7) + 89.99

            = 757.75 + 89.99

            = 847.74

Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle? 82° 92° 102° 112°.

Answers

the sum of all interior angles in a polygon is

180( n - 2), n = number of sides

we know this one is a PENTAgon, so it has 5 sides, so the total for the interior angles will be

180( 5 - 2) = 540 degrees.

540° - 88° - 118° - 132° - 100° = 102° <- fifth angle.

The final interior angle of the pentagon measures 102°.

What is the measure of the fifth interior angle?

We know that for a figure of n sides, the sum of its interior angles is equal to:

S = (n - 2)*180°

Then for a pentagon, 5 sides, we have:

S = (5 - 2)*180° = 3*180° = 540°

Then if X is the missing interior angle, we must have:

88° + 118° + 132° + 100° + X = 540°

438° + X = 540°

X = 540° - 438° = 102°

So the measure of the last interior angle is 102°.

If you want to learn more about interior angles:

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Question
Find the slope of the line.

Answers

Answer:

  undefined

Step-by-step explanation:

The slope of a line is the ratio of the vertical change between two points to the horizontal change between those same two points. When the line is vertical, the horizontal change is zero. That means the slope is some (non-zero) value divided by zero. Division by 0 gives a result that is "undefined."

The slope of a vertical line is "undefined."

What is the solution to the inequality?
12 < 8 + x
O A. x < 20
O B. x>4
O c. x> 20
O D. x<4

Answers

Answer:

B. x > 4

Step-by-step explanation:

12 < 8 + x

12-8 < 8-8 +x

12-8 < x

4 <x

x > 4

Which measurement is more precise? 45 fluid ounces or 79 cups

Answers

Answer:

45 fluid ounces

Step-by-step explanation:

Weight will be more accurate and consistent

To think of it simply, you may not always fill a measuring cup completely to the top and never spill out of it, weight is a given, cup measurements turn into a very close measurement that isn't 100% exact

United States farms produced 2,460,000,000 bushels of soybeans
in 1994. How many quarts is this? (A bushel is 32 quarts.)
Pls u need this now

Answers

Answer: 78,720,000,000 quarts.

Step-by-step explanation:

32 x 2460000000 = 78,720,000,000

please help

i added a picture ​

Answers

Should be 51 miles when they started and 18 miles per day

A large grocery store chain pays all workers time and a half on Saturdays and double time on Sundays. If an employee's regular pay is $10.75 per hour, use the expression 10.75(1.5)(x) + 10.75(2)(y) to find their gross income if they worked 4.5 hours on Saturday and 5 hours on Sunday. (4 points)
$156.72
$177.38
$180.06
$257.44

Answers

Answer:

180.06

Step-by-step explanation:

We first need to sustitue x and y for the time workd on saturday and sunday :)

10.75(1.5)(4.5) + 10.75(2)(5)

Now we multpily in order!!

10.75(1.5)(4.5) + 10.75(2)(5)

72.56 + 10.75(2)(5)

72.56 + 107.50

Now we add!!

72.56 + 107.50

180.06

Your answer is 180.06 :)

Have an amazing day!!

Please rate and mark brainliest!!

Will give brainliest <333

On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 8 kg weighs 80 N. Calculate the mass of another object that weighs 100 N.

Answers

This isn't my work, though it's the answer to your question.

Answer:

The weight of an object when the mass is 10 kg will be 30 N.

Step-by-step explanation:
8/10 = 24/x

Cross multiply

8x = 24 × 10

8x = 240

x = 240/8

x = 30

Answer:

I’m just answering for him to get brainliest :)

Step-by-step explanation:

solve the equation f'(x) = 0:

Answers

Break it down gently

f(x) = 1 - sin⁴3x + cos6x/6

let's break ( - sin⁴3x) and (Cos6x/6) and 1 separately

the derivative of ( -sin⁴3x) = 12cos3xsin³3x

the derivative of (cos6x/6) = -sin6x

the derivative of (1) = 0

f'(x) = 0

12cos3xsin³3x - sin6x = 0

I NEED THE ANSWER |(-2+1)*3)|

Answers

Answer:

The answer is 3

Step-by-step explanation:

add -2+1 first equal -1 flip -1 to positive equal 1. Multiply 3*1 and that equals 3

Write an equation in point-slope form of the line that passes through the point (5,6) with slope 3/5

Answers

point-slope form:

y - y₁ = m(x-x₁)

slope intercept form:

y = mx + b

Equation:

[tex]\sf \hookrightarrow y-6 = \dfrac{3}{5} (x-5)[/tex]               [tex]\sf [ \ this \ is \ point \ slope \ form \ equation \ ][/tex]

[tex]\sf \hookrightarrow y-6 = \dfrac{3}{5} x-3[/tex]                               ----------------

[tex]\sf \hookrightarrow y= \dfrac{3}{5} x-3+6[/tex]                                        -------------------

[tex]\sf \hookrightarrow y= \dfrac{3}{5} x+3[/tex]                         [tex]\sf [ \ this \ is \ slope \ intercept \ form \ equation \ ][/tex]

Answer:

[tex]\boxed{y - 6 = \dfrac{3}{5} (x - 5)}[/tex]

Step-by-step explanation:

Given:

Line passes through: (5,6)Slope = 3/5 = 0.6

Formula:

[tex]y - y_{1} = m(x - x_{1} ) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{m = Slope}; \ (x_1},y_{1}) = \text{Coordinates of point}][/tex]

Substitute the values into point slope form to determine the equation of the line in point slope form.

[tex]\implies y - y_{1} = m(x - x_{1} )[/tex]

[tex]\implies \boxed{y - 6 = \dfrac{3}{5} (x - 5)}[/tex]

Find volume of rectangular prism shown here. 1.5 cm 2cm 8cm

Answers

Answer:

24 cm³

Step-by-step explanation:

The volume of a rectangular prism is found by multiplying the area of the base by the height.  V=lwh.  V=(1.5)(2)(8)=24 cm³

Answer:

the answer should be 24

Step-by-step explanation:

1.5 x 2 = 3

3 x 8 = 24

V = L x W x H

V = 1.5 x 2 x 8

complete the proof, word bank at the bottom HELP PLEASE LOL

Given: ∠VYZ≅∠YWX, m∠VZY+m∠ZYX=180°
Prove: △ZVY∼△XYW

Answers

Answer:

Step-by-step explanation:

3) Definition of supplementary angles

4) Consecutive interior angles converse

5) Alternate interior angles

6) AA similarity

Jennifer is looking to lease a car. bob’s auto has a car available with a money factor of 0.00344. aaa auto has the exact same car available with a money factor of 0.00313. which of the following statements is true? a. the lower money factor with bob’s auto will give jennifer the lowest monthly payment. b. the lower money factor with aaa auto will give jennifer the lowest monthly payment. c. the higher money factor with bob’s auto will give jennifer the lowest monthly payment. d. the higher money factor with aaa auto will give jennifer the lowest monthly payment.

Answers

Answer:

B. The lower money factor with AAA Auto will give Jennifer the lowest monthly payment

the drop down box numbers are 39, 90, 120, and 180

Answers

Answer:

Im thinking the answer is 90.

Step-by-step explanation:

There are 360 and that is a small section for 120 or 180 people to all take a break at.

-Hope this helps!

-Justin

Evaluate the expression 10 + (8 - 4)2 ÷ 2.

Answers

Answer:

10 + (8 - 4)2÷2

10 + (4)2 ÷2

10 + 8 ÷ 2

10 + 4

= 14

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