For what values of x is the trionomial 2x^2-x+55 equal to the square of bionomial x+5?

Answers

Answer 1

Answer:

[tex]x_1= 6, x_2=5[/tex]

Step-by-step explanation:

Well well well, let's write it down as an equation

[tex]2x^2-x+55 = (x+5)^2[/tex]

And then let's just do what's asking us to do

[tex]2x^2-x+55 = x^2+10x+25\\x^2-11x+30=0[/tex]At this point, it's quadratic formula time. Let's first calculate [tex]\Delta = b^2-4ac[/tex] to simplify the process

[tex]\Delta = 121-4(1)(30) = 121-120=1[/tex]

[tex]x= \frac{11\pm1}{2}; x_1= 6, x_2=5[/tex]


Related Questions

What is the slope of the function?
m=

What is the y-intercept of the function?
b=

Which equation represents the graph of the function?

Answers

slope of the function is 2x
y-intercept of the function is 1
the equation is f(x)=2x+1

Which equation has the solution x = 3?


Select each correct answer.

9−3x=0

2x + 4 = 10

9x−1=4

3x + 1 = 9

x3+5=6

5x−7=1

Answers

Answer:

First two equations

Step-by-step explanation:

9-3x=0

9=3x

3=x

x=3

2x+4=10

2x=6

x=3

9x-1=4

9x=5

x=5/9

3x+1=9

3x=8

x=8/3

x^3+5=6

x^3=1

x=1

5x-7=1

5x=8

x=8/5

can someone please help me!! this assignment is due at 11:59 I need this done

Answers

tan(40)= x/20 => x= tan(40).20= 16,78
Ok done. Thank to me:>

Answer:

x=16.782

Step-by-step explanation:

a=40*

b=20

c=90*

d=40* (corner in lower right corner, we know it equals 40* because all triangles equal 180*)

e=26.108 (bottom side)

Hope this helps! BH

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Mary Smith opened her interior design firm, KM Designs. Transactions made by KM Designs for the month of August are shown below.
1.
The owner invested $8,000 cash in the business.
2
The company purchased $3.200 of office equipment on credit
3.
The company received $2,400 cash in exchange for services performed.
4.
The company paid $320 for utilities in August.
5.
The owner withdrew $800 cash for personal use.
Your answer is partially correct.
Prepare a transaction analysis using T-accounts.
Assets

Answers

The first animal of the can of Stewart little was awarded awesome dissatisfaction based upon the cooking rewards the ants liked the food

Whats an easy way to focus and get my homework completed quickly?

Answers

Answer:

Have all devices that may distract you off or in another room. You should also work in a quiet place, such as a bedroom, library, etc.

Answer: set goals for the time you will be working. put away distractions and electronics. try to work in a quiet place. after working for a while, take a 5-10 minute break to walk around and drink water or eat a small snack. if it helps you, play non distracting music such as lofi or piano music. also stay hydrated while working. i like to write all of the things i have to do in order, and write the time i will be done by them. example

science 2 pm

history 2:45

art 3:15

hope this helps!

Type the missing digit below
6,387,_36 is divisible by 8.

Answers

The missing digit is: any odd number from 1-10. Only odd so: 1,3,5,7,9 would work! Hope this helps!! :)

Which situation can be represented by this inequality?

135 ≤ 10r + 15

Question 6 options:

A-Hugo has 10 songs in his music player. He will add 15 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at most 135 songs?


B-Hugo has 10 songs in his music player. He will add 15 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?


C-Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at most 135 songs?


D-Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?

Answers

The true option is: (d) Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?

The inequality is given as:

[tex]\mathbf{135 \le 10r + 15}[/tex]

Rewrite as:

[tex]\mathbf{10r + 15\ge 135 }[/tex]

From the options, we can see that the inequality represents songs in a music player.

Linear inequalities can be represented as:

[tex]\mathbf{mx + b \ge y}[/tex]

Where:

m represents the rate i.e. 10

b represents the y-intercept or base i.e. 15

>= represents at least

So, the inequality can be interpreted as:

10 songs are added every monthThe base number of songs is 15He wants to have at least 135 songs

Hence, the true option is (d)

Read more about linear inequalities at:

https://brainly.com/question/11897796

a rule in a relation in which each input is paired with, or assigned to, exactly one output.

Answers

Answer:

Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

Step-by-step explanation:

leslie weighs her marbles in a jar and the scale reads 474 grams. The empty jat weighs 439 grams. each marble weighs 5. How many marbles are in the jar

Answers

I’d say 8 marble are in the jar

Martin's class has 28 students in it 25 % of those students are homesick today. How many students are home sick

Answers

7 students are home sick

There were 3 full pizzas sitting on a counter. If Joe ate ¼ of a pie, Rhonda ate ⅜ of a pie, and Chris ate 4 slices, how many slices of pizza were left? (Assume each pie is cut into 8 slices.)

Answers

Answer:

15 slices

Step-by-step explanation:

Joe ate 2 slices (1/4 = 2/8), Rhoda ate 3 (3/8), Chris ate 4.

2+3+4= 9.

there are 3 pizzas divided into 8 slices per pizza.

3 x 8 = 24 ; 24 slices total

subtract 9 (that’s what was consumed) from 24.

24-9 = 15

I hope it helps.


[tex] \frac{8}{ax} - 5 = - 3[/tex]
Solve for x. Assume a doesn't equal 0.​

Answers

Answer:

x=4/a

Step-by-step explanation:

8/ax - 5= -3

          +5    +5

8/ax=2

* ax     *ax

    8=2ax

  /2a     /2a

8/2a=x

simplify

4/a=x

64091÷61=

PLZZ HELPPPPPPPPP

Answers

It’s 1050.672131

Round to how much your teacher prefers and that’s your answer

Answer:

1050.67213

Step-by-step explanation:

Is the system of equations consistent and independent,
consistent and dependent, or inconsistent?
y= -1/2x +3
y= 4x + 2
Select the correct answer from the drop-down menu.
Choose

Answers

Answer:

Consistent and independent

Step-by-step explanation:

If two lines intersect, then the following things are true.

1. they have different slopes.

2. one solution.

3. The system of equation is consistent and independent

Katrina is solving the equation -2(x+3)= 4(2x+3)-(x+4). Which equivalent equations might Katrina use? Check all that apply. Ox-2x-6=8x+12-x-4 O x-2x+6= 8x+ 12- X+4 Ox-2x-6-8x+12-X+4 O x-2x+3 = 8x+3 - X+4 0-x-6-7x+8 O-x+6=7x+16 0-x-6-7x+16 O-X+3 = 7x+7​

Answers

Step-by-step explanation:

-2x-6=8x+ 12-x-4

x-2x-6=8x+12-4

-2x - 6 = 7x + 8 or -9x - 6 = 8 are the equivalent equation.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

To solve the equation -2(x+3)= 4(2x+3)-(x+4), Katrina can use equivalent equations obtained by simplifying each side of the equation using the distributive property, combining like terms, and solving for x.

One possible equivalent equation is:

[tex]-2(x+3)= 4(2x+3)-(x+4)\\-2x - 6 = 8x + 12 - x - 4 \\-2x - 6 = 7x + 8[/tex]

Another possible equivalent equation is:

[tex]-2(x+3)= 4(2x+3)-(x+4)\\-2x - 6 = 8x + 12 - x - 4\\ -2x - 6 = 7x + 8\\-9x - 6 = 8\\-9x = 14 \\x = -14/9\\[/tex]

Therefore, the equivalent equations that Katrina can use to solve the original equation are:

-2x - 6 = 7x + 8 or -9x - 6 = 8

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ7

Write an equation of the parabola that passes through the point (62,-490) and has x-intercepts -8 and 72

Answers

Step-by-step explanation:

as x intercepts are -8 and 72 we realize that f(x)=a(x+8)(x-72)

we know that f(62)=-490 so a= -0.7

so f(x)= -0.7(x+8)(x-72)

Jon ate 1/3 of a bag of candies and Monica ate 1/4 of the bag. What fraction of the bag of candies did they eat?

Answers

Answer:

13 AND 14

Step-by-step explanation:

THERE IS NO PICTURE OR ANY ANSWERS

1/3+1/4=4/12+3/12
=7/12

Kathleen cycled a total of 18 kilometers by making 9 trips to work. After 21 trips to work, how many kilometers will Kathleen have cycled in total?

Answers

Answer:
42 kilometers

Find all of the rational zeros of the function. ​f(​x)=x ​4 −3x ​3 −6x ​2 +6x+8 ​

Answers

Answer:

The "possible" rational zeros are:

±

1

,

±

2

,

±

4

,

±

8

The actual zeros are:

1

,

4

,

±

2

Explanation:

f

(

x

)

=

x

4

3

x

3

6

x

2

+

6

x

+

8

By the rational root theorem, any rational zeros of

f

(

x

)

are expressible in the form

p

q

for integers

p

,

q

with

p

a divisor of the constant term

8

and

q

a divisor of the coefficient

1

of the leading term.

That means that the only possible rational zeros are:

±

1

,

±

2

,

±

4

,

±

8

We find:

f

(

1

)

=

1

+

3

6

6

+

8

=

0

So

x

=

1

is a zero and

(

x

+

1

)

a factor:

x

4

3

x

3

6

x

2

+

6

x

+

8

=

(

x

+

1

)

(

x

3

4

x

2

2

x

+

8

)

Notice that the ratio between the first and second terms of the remaining cubic is the same as that between the third and fourth terms. So this cubic will factor by grouping:

x

3

4

x

2

2

x

+

8

=

(

x

3

4

x

2

)

(

2

x

8

)

x

3

4

x

2

2

x

+

8

=

x

2

(

x

4

)

2

(

x

4

)

x

3

4

x

2

2

x

+

8

=

(

x

2

2

)

(

x

4

)

Finally we can factor the quadratic as a difference of squares:

x

2

2

=

x

2

(

2

)

2

=

(

x

2

)

(

x

+

2

)

So the zeros are:

1

,

4

,

±

2

30233088 in index form

Answers

Answer:

3.0233088 x 10 raise to power 7

1.) 7x-3=18
2.) 9x-4=32
3.) 5x-1=64
4.)12x-9=39
5.) 2x-1=2
6.) 4x-8=10
7.) 15x-2=3

Answers

1.) x=3
2.) x=4
3.) x=13
4.) x=4
5.) x=3/2
6.) 9/2
7.) 1/2

make x the subject of the formula
y=a √x

Answers

Answer:

Y^2/a = x

Step-by-step explanation:

Y = a sqr X

Square both sides

Y^2 = a * x

Divide a

Y^2/a = x

Answer:

[tex] x = \dfrac{y^2}{a^2} [/tex]

Step-by-step explanation:

[tex] y = a\sqrt{x} [/tex]

Square both sides.

[tex] (y)^2 = (a\sqrt{x})^2 [/tex]

[tex] y^2 = a^2(\sqrt{x})^2 [/tex]

[tex] y^2 = a^2x [/tex]

Divide both sides by a².

[tex] \dfrac{y^2}{a^2} = x [/tex]

Switch sides.

[tex] x = \dfrac{y^2}{a^2} [/tex]

Victoria is four years older than her neighbor the sum of their ages is no more than 14 years enter an inequality that can be used to represent the situation in the box where X represents Victoria’s neighbors age

Answers

Answer:

Victoria is 4 years older than her neighbor

Step-by-step explanation:

V = x + 4

x = neighbors age

x + x + 4 < = 14...here is the inequality

2x + 4 < = 14.....this is just a simplified form of the inequality

not sure which one u want to write, because they are both basically the same...one is just simplified a little

2x + 4 < = 14

2x < = 14 - 4

2x < = 10

x < = 10/2

x < = 5.....the oldest age of the neighbor is 5

(Hope this helps can I pls have brainlist (crown☺️)

Answer: 5

Step-by-step explanation:

Let x be the age of Victoria's neighbor.

Victoria's age is 4 years older than her neighbor, so her age can be represented as x + 4.

The sum of their ages is no more than 14 years, which can be written as:

x + (x + 4) ≤ 14

Simplifying the inequality:

2x + 4 ≤ 14

2x ≤ 10

x ≤ 5

Therefore, the inequality that represents this situation is x + (x + 4) ≤ 14, where x is less than or equal to 5.

Rewrite the following equation in slope-intercept form. 2x + 16y = 11 Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y=-1/8x+11/16

Step-by-step explanation:

The slope-intercept form is y=mx+b. You have to move over 2x to the other side. After that you have to divide both sides by 16 to get to the y intercept form, so it would end up as y=-1/8x+11/16, where -1/8=m and 11/16=b

a movie theater can seat 200 people. for one show 85 people are in the theater already. solve the inequality to find how many more people can attend this show

Answers

200-85=115 will be the answer.

1.
Identify the minimum value of the function y = 3x^2 − 12x + 10.

A. −2

B. 10

C. 46

D. 2

Answers

Answer:

-2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The minimum value is the y- coordinate of the vertex

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = 3x² - 12x + 10 ← is in standard form

with a = 3 and b = - 12 , then

x = - [tex]\frac{-12}{6}[/tex] = 2

Substitute x = 2 into the function for corresponding y- coordinate

y = 3(2)² - 12(2) + 10 = 3(4) - 24 + 10 = 12 - 24 + 10 = - 2

Then minimum value of the function is - 2

If a triangle is equilateral, then all the sides in the triangle are congruent.If all the sides in a triangle are congruent, then all the angles are congruent.

Answers

Answer:

Where's the question?

Step-by-step explanation:

Geometry- Copy and complete the statement.​

Answers

Answer:

X+y over y

Step-by-step explanation:

X+y over y

Hope it helps

what is 5x486??????????????????????????

Answers

486
x 5
___
2430

the answer is 2430

Answer:

the answer is 2,430

Step-by-step explanation:

5×486=N

=2,430

help for brianlies nad 5 stars with many points

Answers

Step-by-step explanation:

I hope you understand it. Thank you for 50 points

Refer to the attachment

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