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

Plz solve. I will give 50 points for whoever gets it right.

Answers

Answer:

This is like multiplication you solve this question and then you can solve the equation

order -9, -16, -13, 0 from least to greatest

Answers

Answer:

_16,-13,-9,0

Step-by-step explanation:

hope this helps u out!!

Which table is not a proportional relationship

Answers

Answer:

B and D

Step-by-step explanation

Answer:

D

Step-by-step explanation:

sequence in the earnings is unproportional difference between 27 and 54 is not 9

(ASAP) i also need help with this plss

Answers

Answer:

The right answer is 32

Step-by-step explanation:

3/4 × 32 = 24

Answer:

18

Step-by-step explanation:

divide 24 by 4 which gives you 6. Multiply 6 by 3 which gives you 18 or (3÷4) × 24 = 18

greatest from least 2lb., 891 g., 1 kg., 0.02 T.

Answers

Step-by-step explanation:

i think the greatest from is 0.02 T

Are repeating decimals like 34.79 rational numbers?

Answers

Answer:

Yes. 34.79 is a rational number because it can be written as a fraction.

Step-by-step explanation:

Hoped this helped.

Nicole was given a box of assorted chocolates for her birthday. Each night, Nicole
treated herself to some chocolates. There were originally 24 chocolates in the box and
Nicole ate 3 chocolates each night. Make a table of values and then write an equation
for C, in terms of t, representing the number of chocolates remaining in the box t
days after Nicole's birthday.
Number of Days After Nicole's
Birthday
Number of Chocolates Remaining in the
Box
0
1
2
3

Answers

Step-by-step explanation:

T  |  0   |   1    |  2   |  3   |

C  | 24  |  21  |  18  |  15  |

Rule:

To find a rule, we need to find 2 things- what T is multiplied by and what is added.

To find what it is multiplied, we need to see the increase or decrease in C for every T. In this equation, there is a decrease of 3, so we multiply T by -3.

To find what is added, we go to 0 T and find the corresponding number. When T is 0, C is 24 so we add 24.

We write a rule as:  y = mx + c, or in this case, c = mt + a

So the rule is c = -3x + 24

Find the monomial if the expression is a cube of that monomial (find the cube root)

-27/64a^9b^6
-0.0001a^3n+3
I can't figure this out and need helppppppppp

Answers

Answer:

first one is -3/4a^3b^2

Step-by-step explanation:

i dont know the second one and i need help on that one too im sorry

The monomial of the functions are;

1. - 3/4 a³b²

2. - 0.1 aⁿ⁺¹

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

the expression are;

1. - 27/64 a⁹b⁶

2. - 0.001 a³n³ⁿ⁺³

Now,

Solve the expression as;

1. - 27/64 a⁹b⁶

Take cube root, we get;

∛- 27/64 a⁹b⁶ = ∛ - 3 × - 3 × - 3/4×4×4 a³a³a³ b²b²b²

                     = - 3/4 a³b²

And,  - 0.001 a³n³ⁿ⁺³

∛ - 0.001 a³n³ⁿ⁺³ = ∛-0.1×0.1×0.1 aⁿ⁺¹ aⁿ⁺¹ aⁿ⁺¹

                         = - 0.1 aⁿ⁺¹

Thus, The monomial of the functions are;

1. - 3/4 a³b²

2. - 0.1 aⁿ⁺¹

Learn more about the monomial visit:

https://brainly.com/question/17822565

#SPJ2

-18<3(x+2)<12

⚠️Compound Inequality⚠️

Answers

Answer:

-8<x<2

Step-by-step explanation:

divide everything by 3 to get -6<x+2<4. next subtract 2 from everything to get -8<x<2

Explain why a step in solving the equation 4n= -36 is to divide both sides by 4. Then solve the equation

Answers

The correct value of ''n'' in this equation will be -9

Step-by-step explanation:

In order to find the value of ''n'' in this equation of the first degree, just isolate ''n'', and divide the right side into the left side of the equation:

Resolution:

[tex]\large \sf 4n= -36[/tex]

[tex]\large \sf n= -36\div4[/tex]

[tex]\large \sf n= \dfrac{-36}{4}[/tex]

[tex]\boxed{\boxed{{\large \sf n=-9}}}[/tex]

So we can conclude that the value of ''n'' in this equation will be -9

Celine is making a special gelatin dessert for the Constellation Club meeting. She plans to fill
a large moon-shaped mold with 8 ounces of gelatin. She wants to use the rest of the gelatin
to fill small star-shaped molds. Each star-shaped mold holds 2 ounces, and the package of
gelatin she bought makes 48 ounces in all. How many star-shaped molds can Celine fill?

Answers

Answer:

Celine can fill 20 stars i believe

Step-by-step explanation:

(48-8)÷2=20

The number of star-shaped molds that Celine can fill will be 20.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

For the Constellation Club meeting, Celine is preparing an exclusive gelatin dessert. She intends to use 8 ounces of gelatin to fill a large moon-shaped mold. She plans to fill little star-shaped molds with the remaining gelatin. The bag of gelatin she purchased yields 48 ounces in total, with each star-shaped mold holding 2 ounces.

⇒ (48 - 8) ÷ 2

⇒ 40 / 2

⇒ 20

Then the number of star-shaped molds that Celine can fill will be 20.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Given: p-q= pq/2.Express p in terms of q.​

Answers

Here is ur perfect answer

Answer:

p = [tex]\frac{2q}{2-q}[/tex]

Step-by-step explanation:

p - q = [tex]\frac{pq}{2}[/tex] ( multiply both sides by 2 to clear the fraction )

2(p - q) = pq ← distribute parenthesis on left side

2p - 2q = pq ( subtract pq from both sides )

2p - pq - 2q = 0 ( add 2q to both sides )

2p - pq = 2q ← factor out p from each term on left side

p(2 - q) = 2q ← divide both sides by (2 - q)

p = [tex]\frac{2q}{2-q}[/tex]

Josiah has a loyalty card good for a discount at his local grocery store. The item he wants to buy is priced at $33, before discount and tax. After the discount, and before tax, the price is $30.69. Find the percent discount.
Will mark BRAINLIEST I Promise.

Answers

30.69/33=0.93
Percentage multiplier 0.93
1-0.93= 0.07
0.07*100=7%
Therefore there is a discount of 7%

Please help! WILL MARK BRAINLIEST

Answers

Answer:

2nd option is correct

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

Answer:

1 1/9 ft^3

Step-by-step explanation:

5/3*1*2/3=10/9*1=10/9

10/9=1 1/9

If 2/15 is 40 then 1/15 is?

(Sorry I know this is a easy question but my brain isn't processing the question right now so I need help)

Answers

Answer:

20

Step-by-step explanation:

[tex]\frac{2}{15}[/tex] = 40

[tex]\frac{2}{15}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{1}{15}[/tex]

40 ÷ [tex]\frac{2}{1}[/tex] = 20

Which general rule should you follow as you collect variable terms on one side of an equation?

Answers

Answer:

You should always Use addition or subtraction to separate the variable on one side of a equation.

Step-by-step explanation:

What is an equation in point-slope form of the line shown in the graph, using the point (1, 5)?

Answers

Answer:

The point-slope form is  

y

+

6

=

1

5

(

x

4

)

or  

y

+

5

=

1

5

(

x

9

)

, depending on which point you use. If you solve for  

y

to get the slope-intercept form, both equations will convert to  

y

=

1

5

x

34

5

Step-by-step explanation:

y-5=[whatever slope is](x-1)

A Girl have 15 apples but she gave her friend 5 apples and ate 1 how many apples are left and show your work

Answers

Answer:

She has 9 left

Step-by-step explanation:

15 - 6 = 9

Hope this helps! Brainliest would be appreciated!

PLS HELP WILL MARK BRAINLIEST, PLS HURRY

Answers

Answer:

B

Step-by-step explanation:

What equation is graphed in this figure?

· y-4= -1/3(x+2)

· y-3= -1/3(x+1)

· y+2= -3(x-1)

· y-5=3(x-1)​

Answers

Answer:

y-5=3(x-1)

Step-by-step explanation:

I hope it helped

please help asap…………

Answers

Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

so, in our case, the slope is 2, the y-intercept is -3.

the y-intercept gives you the first point : (0, -3)

using the slope of 2 we know that for every unit x increases, y increases by 2.

so, you can pick a next point e.g. x = 2, which makes y = -3 + 2×2 = -3 + 4 = 1

that gives us (2, 1)

mark both points on the chart and then draw a straight line through both points.

Which would be the most appropriate way to estimate -6.1(0.22)? Check all that apply.
Use rounding to get -6(0.2), and then multiply.
Use compatible numbers, such as -6(0.5), and then multiply.
Use the benchmark numbers -6 and 1, and then multiply.
Use front-end estimation to get -6(0.2), and then multiply.
Round the factors to the nearest whole number, and then multiply.
Answers to choose Please help me.

Answers

Use rounding to get -6(0.2), and then multiply.

Use compatible numbers, such as -6(0.5), and then multiply.

Use front-end estimation to get -6(0.2), and then multiply.

Estimate -6.1(0.22)

Answer:

Use rounding to get -6(0.2), and then multiply.

Use front-end estimation to get -6(0.2), and then multiply.

Round the factors to the nearest whole number, and then multiply.

Step-by-step explanation:

Actual answer:

-6.1(0.22) = -1.342

Estimate answer:

-6 (.2) = 1.2

Answer:

A B D

Step-by-step explanation:

Solve (x-1)(x+5)=0 using zero product property

Answers

the answer is 1 im pretty sure

The value of the digit 8 in 1,857 is how many times the value of the digit 8 in 3,083?

Answers

Answer:

10 times

Step-by-step explanation:

The 8 in 1,857 is in the hundreds place and the 8 in 3,083 is in the tens place.

The Running Aces card team won $548 dollars playing in poker tournaments last year. The winnings were split evenly among the p players.
How much money did each player receive?
Write your answer as an expression.

Answers

Since the question doesnt give the amount of players on the team we can just say that each player was given 548/p dollars.

How do you know it is positive or negative in exponents.

Answers

When using exponents there will be a negative sign before the exponent. If the exponent is positive it will not have any sign it will just be the number

A 12-in. steel cable weighs 0.428 lb. How much does 12.8 ft. weigh?

Answers

Answer:

  5.48 lb

Step-by-step explanation:

12 inches is 1 foot.

12.8 times that length will have 12.8 times that weight:

  12.8 · 0.428 lb = 5.4784 lb ≈ 5.48 lb

__

The given values have 3 significant figures, so the answer needs to be rounded to 3 significant figures.

Help. 7 minutes left. Can’t find answer. Question in the picture, Thank you!

Answers

Step-by-step explanation:

Where's the picture?

Add this first

Answer:

wait we're is the picture?

given:3(x-5)+1=10 prove:x=8​

Answers

Answer:

x=8

Step-by-step explanation:

3x-15+1=10

3x=10+15-1

3x=24

x=24/3=8

easy

solve the simultaneous linear equations by using the elimination method​

a - b = -3
3a - 4b = -5

Answers

Answer:

3a -3b= -9

3a - 4b = -5

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

b=-4

4a- 4b= -12

3a - 4b = -5

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

a = -7

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