Can you solve x2-x-20=0 in algebra 1 explanation .

Answers

Answer 1

Answer:

x = 5, -4

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer 2

Answer:

x = 5, x = -4

Explanation:

Solve with the quadratic formula

[tex]x_{1,2} =\frac{-(-1)+-\sqrt{(-1)^2-4*1*(-20)} }{2*1}[/tex]  =  [tex]x_{1,2} = \frac{-(-1)+-(9)}{2*1}[/tex]

Separate the solutions

[tex]x_1 = \frac{-(-1)+9}{2*1} , x_2 = \frac{-(-1)-9}{2*1}[/tex]

[tex]x_1 = 5\\x_2 = -4[/tex]


Related Questions

Fencepost Problem: You need to build one side of a fence that is 12 yards long. This
fence will be built with fenceposts and rails that connect one fencepost to another. If
each fencepost is 1 yard away from the next fencepost, how many fenceposts will be
needed for this side of the fence? How many fenceposts will be needed for a side of
a fence that is N (where N > 0) yards long?

Answers

The fence needs to start with a post so if it is 12 yards long it will need 13 fenceposts.

In general, if the fence is N yards long it will need N + 1 fenceposts

Angie and Kenny play online video games. Angie buys 1 software package and 2 months of game play, Kenny buys 2 software packages and 5 months of game
play. Each software package costs $45. If their total cost is $205, what is the cost of one month of game play?

Answers

10 because 45x3=135 205-125=70 70 divided by 7 equals 10

a:b=2:3
b:c= 5:6
Show that a:c=5:9
please help

Answers

a/b = 2/3
= 10\15
b/c = 5/6 = 15/18
a/b/c/b = a/c = 10/15/18/15 = 10/18
=5/9
Hence proved

24÷2[70÷5{4+(12-(12-8÷6×3)}]​

Answers

Step-by-step explanation:

24÷2[70÷5{4+(12-(12-8÷6×3))}]

12[14{4+(12-(12-4))}]

12[14{4+(12-8)}]

12[14{4+4}]

12[14{8}]

12[112]

1344

total of y and five divided by x

Answers

Answer:

Do you mean y + 5 ÷ x? If so then the answer is [tex]y + \frac{5}{x}[/tex]

Elsa got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 7 cents per yard. If after that purchase there was $12.83 left on the card, how many yards of ribbon did Elsa buy?

Answers

Answer:

31 yards

Step-by-step explanation:

If she has $12.83 left, that means she spent $2.17 out of the $15

15 - 12.83 = 2.17

One cent is .01 of a dollar

So that would be $0.07 per yard

To find the number of yards, we need to divide the total amount she spent by the price per yard.

2.17 ÷ 0.07 = 31

x+-2= I need help with this

Answers

Answer: x=3

Step-by-step explanation:  Hope I helped trust me I am really good at math.

Rewrite in factored form, do not solve
X^2-x-56=0

Answers

Answer:

[tex] {x}^{2} - x - 56 = 0 \\ { \boxed{ (x - 8)(x + 7) = 0}}[/tex]

4x - y/2y +x
------- x=3 y=3

Answers

Answer:

B

Step-by-step explanation:

4x - y = 4*3 - 3 = 12 - 3 = 9

2y + x = 2*3 + 3 = 6 + 3 = 9

(4x - y) / (2y + x ) = 9/9 = 1

Solve the following equation:
X+m=p-n for p

Answers

Answer:

p = m + n + x

Step-by-step explanation:

x + m = p - n

x + m + n = p

p = m + n + x

Can someone please help? Thanks

Answers

6383 THATS the answerr! I just did it.

binary calculation additional 1101+101​

Answers

Answer:

¡Hello!

[tex]1101 + 101 = 1202[/tex]

Espero haberte ayudado :)


Use deductive reasoning to prove that x = 10 is the solution equation 3x – 7 = 23. Be sure to
justify each step in your proof.

Answers

Answer:

Step-by-step explanation:

3x-7=23

<=> 3x = 23 + 7

<=> 3x = 30

<=> X = 30 ÷ 3

<=> X = 10

Solve for x.
z=(7+x)k

Answers

Answer:

x=(z-7k)1/k

Step-by-step explanation:

z=(7+x)k

open the blanket

z=7k+kx

kx=z-7k

x=(z-7k)1/k


Write a function g whose graph represents a translation 3 units down followed by a vertical shrink by a factor of 1/3
of the graph of f(x) = x

Answers

  If a function 'f' is translated by 'k' units down, image function 'g' will be,

g(x) = h(x) - 3

If the function 'g' gets shrink by a factor 'm', the new function 'k' will be,

k(x) = [tex]m[g(x)][/tex]  where, 0 < m < 1

  Following these rules image of the function 'f' given in the question will be g(x) = [tex]\frac{1}{3}x-1[/tex]

Function given in the question is,

f(x) = x

  If the function f is translated by 3 units down, image function 'h' will be,

h(x) = f(x) -3

h(x) = x - 3

  If the image function is vertically shrink by a factor of k, equation of the image function will be,

g(x) = [tex]k[h(x)-3][/tex]

where, k = [tex]\frac{1}{3}[/tex],

g(x) = [tex]\frac{1}{3}}(x-3)[/tex]

      = [tex]\frac{1}{3}x-1[/tex]

    Therefore, image function will be [tex]g(x)=\frac{1}{3}x-1[/tex].

Learn more,

https://brainly.com/question/10222624

The temperature at 10 A.M. was -7°F.
By noon, the temperature had
dropped 12°F. By 2 P.M., it had
dropped another 5°F. What was the
temperature at 2 P.M.?
°F

Answers

Answer:

-24 degrees F

Step-by-step explanation:

12+7+5

if the temperature kept on dropping, then you would have just added them all up.

If each side of tangle is increased by 25 %, then find the percentage increase or decrease in area

Answers

Answer:

Step-by-step explanation:

Answer:

If each side of tangle is increased by 25 %, then find the percentage increase or decrease in area

Step-by-step explanation:

The midpoint of UV is (5, -11). The coordinates of one endpoint are U(3,5). Find the coordinates of endpoint V.

Answers

The coordinates of endpoint V is (7, -27) if one endpoint is U(3,5) and the midpoint of UV is (5, -11)

Midpoint of a line is a point that divides any line into two equal parts.

The midpoint of two coordinates (x1, y1) and (x2, y2) is expressed as:

[tex]M(X, Y)= (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]

Given the following

midpoint of UV = (5, -11)

U = (3, 5)

Get the other coordinate x2 and y2

Based on the formula above:

[tex]X = \frac{x_1+x_2}{2}\\5=\frac{3+x_2}{2}\\10 = 3 + x_2\\x_2 = 10-3\\x_2 = 7[/tex]

Get the other coordinate x2

[tex]Y = \frac{y_1+y_2}{2}\\-11=\frac{5+y_2}{2}\\-22 = 5 + y_2\\y_2 = -22-5\\y_2 = -27[/tex]

This shows that the coordinates of endpoint V is (7, -27)

Learn more here: https://brainly.com/question/17685913

Which is the function represented by the table? fon 0 5 6 2 O fx)= x+ 5 o Ax)= X-5 0 f(x)= x+ 1 ix)= X-1​

Answers

Answer:

The choose a. f(x) = x+5

Step-by-step explanation:

f(-1)= -1+5=4

f(0)=0+5=5

Answer:

f(x)=x+5

Step-by-step explanation:

According to the table, the y values are 5 more than the x values

what is -67- blank =0

Answers

i need more information

Answer:

67

Step-by-step explanation:

If you are looking for x, or blank in this case, you add 67 to -67.

this equals 0.

-67+67=0.

Elsa got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 7 cents per yard. If after that purchase there was $12.83 left on the card, how many yards of ribbon did Elsa buy?

Answers

We need to find the yards of ribbon that Elsa bought with her debit card.

The amount of ribbon that Elsa bought was 31 yards.

Initial amount which is present on the card is [tex]\$15[/tex]

Amount left after spending is [tex]\$12.83[/tex]

Amount spent on ribbon is [tex]15-12.3=\$2.17[/tex]

Converting to cents

[tex]2.17\times 100=217\ \text{cents}[/tex]

Cost of one yard of ribbon is [tex]7\ \text{cents}[/tex]

[tex]1\ \text{yd}=7\ \text{cents}\\\Rightarrow 1\ \text{cent}=\dfrac{1}{7}\ \text{yd}\\\Rightarrow 217\ \text{cents}=\dfrac{217}{7}=31\ \text{yd}[/tex]

The yards of ribbon that Elsa bought is [tex]31\ \text{yards}[/tex].

Learn more:

https://brainly.com/question/21850116

https://brainly.com/question/22209177

WILL GIVE BRAINLIEST

(3x – 14) (2x + 10)

Find the value of x.​

Answers

Answer:

(3x - 14) = (2x+ 10) { Because the angles are vertically opposite to each other}

3x-2x= 14+10

x=24

Donovan is measuring the angles of a triangle. He uses the first two angles and gets 10° and 120° what should be the measurement of the third angle

Answers

Answer:

50°

Step-by-step explanation:

The sum of a triangles' angles is 180°

Now set up an equation:

180 - (10 + 120) = ___

180 - 130 = 50°

A patch of six cans of coffee cost $12 how much would 19 cans of coffee cost

Answers

Answer:

$38

Step-by-step explanation:

6 cans is $12

1 can is 12/6 = $2

$2 x 19 = $38

Alternative way:

19/6 = 3 1/6

3 1/6 * 12 = 36 + 2 = 38

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Which of the following are the coordinates of the vertex of y = −x2 + 2x + 1? (2, 1) (1, –2) (1, 2) (–2, 1)

Answers

Answer:

C

Step-by-step explanation:

We want to determine the vertex of the quadratic equation:

[tex]\displaystyle y = -x^2 + 2x + 1[/tex]

Recall that the vertex is given by the formulas:

[tex]\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = -1, b = 2, and c = 1.

Determine the x-coordinate of the vertex:

[tex]\displaystyle x = -\frac{(2)}{2(-1)} = 1[/tex]

To determine the y-coordinate, evaluate the function at x = 1:

[tex]\displaystyle \begin{aligned} y(1)&= -(1)^2 + 2(1) + 1 \\ &= 2\end{aligned}[/tex]

In conclusion, the vertex of the quadratic equation is (1, 2).

Hence, our answer is C.

2(x+9)=38
is x=12 viable or non-viable

Answers

Answer:

x = 10, so non-viable.

Explanation:

[tex]2(12+9)=42[/tex]

[tex]2(10+9)=38[/tex]

Help (Geomotry)question3.

Answers

Answer:

8x+11=14x_1

14x_8x=11+1

6x=12

x=12/6

x=2

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Find the measure of JL.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Given, K is the midpoint of JL. So, JK = KL.

KL = 14x - 1JK = 8x + 11JL = ?

________

JL = JK + KL (given that K is the midpoint of JL)

JL = (8x + 11) + (14x - 1)

________

[tex] \large \boxed{\mathfrak{Steps} \downarrow}[/tex]

[tex] \sf( 8 x + 11 ) + ( 14 x - 1 )[/tex]

Combine 8x and 14x to get 22x.

[tex] \sf \: 22x+11-1 [/tex]

Subtract 1 from 11 to get 10.

[tex] \boxed{ \boxed{ \bf22x+10 }}[/tex]

________

Also given that, JK = KL.

So, (8x + 11) = (14x - 1)

⇨ (8x + 11) = (14x - 1)

⇨ 8x + 11 = 14x - 1

⇨ 11 + 1 = 14x - 8x

⇨ 12 = 6x

⇨ x = 12 / 6

⇨ [tex] \boxed{ \boxed{ \bf \: x= 2 }}[/tex]

________

Now, value of JL will be,

JL = 22x + 10

Substitute the value of x.

JL = 22(2) + 10

JL = 44 + 10

[tex] \boxed{ \boxed{ \bf\: JL = 50 }}[/tex]

So, the value of JL will be 50 units.

how would i write The difference of three times a number and 4 is -19 in a equation?

Answers

Hi! I'm happy to help!

To solve this, we first have to understand the terms and the way they arrange the equation.

First, we have the difference of ____and_____=. (the "is" after 4 refers to equals)

We will write this as:

_______-_______= ,because difference means subtraction.

For our first blank, we have 3 times a number. Because we do not know this number, we will use a variable.(n) 3 times a number is 3 multiplied by a number. We can just write 3n, because it represent multiplication.

3n-______=

Now, we see the part of the equation after the "and". We just see 4, so we can insert that here:

3n-4=

Now, we see what is shown after the "is".

We just have -19, so we can insert that here:

3n-4=-19

Now, let's solve (not sure if I need to):

To solve for n, we have to isolate it on one side of the equation. To do this, let's cancel out the -4 on the left side of the equation by adding 4 to both sides:

3n=-15

From here, we need to get rid of the 3 next to the n by dividing both sides by 3:

n=-5

So, we write it as 3n-4=-19, and n=-5.

I hope this was helpful, keep learning! :D

Worked example3 is = 21 ​

Answers

Answer:

hahahaha

Step-by-step explanation:

lol

lol

lol

lol

lol

okay

Can the sum of two irrational numbers ever be a rational number? Can the quotient of two irrational numbers ever be a rational number

Answers

Answer:

Yes and yes

Step-by-step explanation:

Example:

√2, 1 + √2 and 1 - √2 are all irrational.

(1 + √2) + (1 - √2) = 2

The irrational numbers cancel out, leaving you with 1 + 1 = 2, which is rational.

For quotients, we'll use √2 again.

√2/√2 = 1

1 is rational

Other Questions
If three circular metal discs of equal thickness whose radii are 5cm, 20cm and 40cm are melted down to form one circular disc of the same thickness, find its radius. Here is a room with two lasers. Your goal is to get to the opposite side of the room. However there is a catch; if you do not stay equidistant from each laser, you will be blasted. Describe in a Word document how you would find the straight-line path across the room. Be sure to use correct geometric terminology from what you have learned so far. Which phrases do not represent reasons for ungrammatical speech discussed in this lesson? Select all that apply.errors made by a speaker of English as a second languageerrors made by a young child overusing ruleserrors due to usage of nonstandard Englisherrors due to changes in grammatical structure of languageerrors made because of a lack of intelligence Question 5 of 10The invention of electric lights affected U.S. residents in the 1800s byextending the workday. Which best describes the historical theme that thisillustrates?A. Corruption in governmentB. Industrialization and laborC. Changes in transportationO D. The struggle for equal rights What is the key to economics? Explain. What factors do 18 and 30 have in common? 1. generalmente have la tate's por la manana2. el ve todas las peliculas que salen 3. el les dice sus problemas a sus amigos 91.) A car is traveling at 5 m/s. How far has it gone in 12 seconds? What is the focal point of this artwork? Why was Martin Luther King jr your favorite speech Write a 100/150-word essay about why I want bracesIf you do this, you're a serious lifesaver!!! Please do it by the end of the weekend, if u can. Dcrivez la place du marche de votre village Help meeeeeee on this math hw how did the French and Indian War end? . Restate What is a physical change in termsof particle arrangement? Which number line represents the solutions to the inequality 9x + 2 5 6x - 4? you buy a 2 liter sprite for your friends. one serving of sprite is 250 ml. calculate the number of servings in one bottle. URGENT!! What are some viable ways of lessening the effect that increased carbon has on global warming? The primary coil of a transformer has 2650 volts and a current of 66 A. What current is in the secondary coil if it has 4700volts?*12 =A*Round your answer to the nearest thousandth if necessary. what is the area of a semi circle when the diameter is 6