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

At a corner store, apples cost $1 and orange cost $2 victor has 18$ to spend buy fruits

Write an equation that relates the number of apples a, to the number of oranges,o, victor can buy while spend exactly $18

Answers

18 = 1a + 2b


That’s the equation for it

Please help! WILL MARK BRAINLIEST

Answers

Answer:

50

Step-by-step explanation:

I have to do the evens- I was out due to epilepsy and have no clue what I'm doing
Worth 50 points

Answers

Step-by-step explanation:

I'm assuming your solving for [tex]x[/tex]

Picture 2.

For this one since the two sides are equal

[tex]2x-12=12\\2x=24\\x=12[/tex]

Picture 4.

We can use the Pythagorean theorem for this one, which is [tex]a^2+b^2=\sqrt{c}[/tex]

[tex]4\cdot4=16\\3\cdot3=9\\16+9=25\\\sqrt{25}=5[/tex]

[tex]x=5[/tex]

Picture 6.

We can use the Pythagorean theorem for this one, which is [tex]a^2+b^2=\sqrt{c}[/tex]

[tex]6\cdot6=36\\9\cdot9=81\\36+81=117\\[/tex]

[tex]\sqrt{117}=approximately[/tex] [tex]10.81[/tex]

Picture 8.

[tex]EG=6[/tex]

Since half of [tex]EG[/tex] is [tex]3[/tex]

[tex]3\cdot2=6[/tex]

[tex]EG=6[/tex]

Brainliest, please :)

solve the equation please
142=10+4x+7x
x= what

Answers

Answer:

11

Step-by-step explanation:

142=10+12x

132=12x

11=x

Answer:

x=12

Step-by-step explanation:

What is the slope for this table?

Answers

Answer:

look at the picture ..........


????????????????????????????????

Answers

Answer:

Step-by-step explanation:

step by step explanation

Answer:

P = 9/25

Step-by-step explanation:

yeah-ya........ right?

What is it called when heat and pressure change one type of rock into another? (100 points)


a metamorphism

b erosion

c deposition

d crystallization

Answers

Answer:

A: metamorphic

Step-by-step explanation:

Answer:

it's a

Step-by-step explanation:

I read it in a textbook

when x is 8 what is 4x

Answers

The answer is 32 because you do 4x8
The answer would be 32! If x=8, then you plug it in for x in the formula which is 4x. 4(8) will equal 32!

what is 122°F in °C?
a.1 °C
b.10 °C
c.100 °C
d.110 °C​

Answers

Answer:

50° C

Step-by-step explanation:

By the Formula :-

= > (122°F − 32) × 5/9

= > 50°C...ans

Hope it Helps you!!

The value of 122°F in °C is 50°C

Temperature

Temperature is the degree of hotness or coldness in a place. There are different temperature scales such as Celsius, Fahrenheit etc.

To convert from Fahrenheit to Celsius, use:

C = (F - 32) * 5/9

Given that F = 122, hence:

C = (122 - 32) * 5/9 = 50°

The value of 122°F in °C is 50°C

Find out more on Temperature  at: https://brainly.com/question/18130122

Answer asap, please!!!

Answers

Answer:

4s²

Step-by-step explanation:

The area is made up of four squares each of side s . The area of one square will be s*s = s² .

Hence the area of 4 such squares will be 4*s² = 4s²

Your choice is correct .

What will be the total amount of money in the account at the end of that year

Answers

Answer

How much there is at the end of the year, I cant answer the question seriously if you do not include the whole question bub next time put the whole question, best of luck.

Step-by-step explanation:

How would you write 32 as a Roman numeral?

Answers

Answer:

XXXII

Step-by-step explanation:

The number 30 as a roman is XXX and the number 2 as a roman is ll. So the answer is XXXII

- Your welcome ;)

Claim: Fewer than 95​% of adults have a cell phone. In a reputable poll of 1170 ​adults, 90​% said that they have a cell phone. Find the value of the test statistic.

Answers

Answer:

From the information given, it is found that the value of the test statistic is z = -11.97.

At the null hypothesis, it is tested if the proportion is of at least 95%, that is:

At the alternative hypothesis, it is tested if the proportion is of less than 95%< that is:

The test statistic is given by:

In which:

is the sample proportion.

p is the value tested at the null hypothesis.

n is the sample size.

In this problem, we have that the parameters are:

.

Thus, the value of the test statistic is:

The value of the test statistic is z = -11.97.

Step-by-step explanation:

hope it helps

please mark brainliest

27. A prime factor of 2310 is chosen at random. What is the
probability that the chosen factor will be greater than 7?

Answers

Step-by-step explanation:

The prime factorization of 2,310 is 2 × 3 × 5 × 7 × 11. Since it has a total of 5 prime factors, 2,310 is a composite number.

The probability of chosen factor will be greater than 7 will be ( 1 / 5 ).

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that a prime factor of 2310 is chosen at random. The probability will be calculated as:-

The prime factorization of 2,310 is 2 × 3 × 5 × 7 × 11.

Favourable outcome = 11 = 1

Total outcomes = ( 2,3,5,7,11) = 5

Probability = ( 1 / 5 )

Therefore, the probability of chosen factor will be greater than 7 will be ( 1 / 5 ).

To know more about probability follow

https://brainly.com/question/24756209

#SPJ5

What is the value of x in the equation 4(2x – 8) = 8(4x + 2)?

Answers

Answer:

x=-2

Step-by-step explanation:

4(2x – 8) = 8(4x + 2)

Distribute

8x -32 = 32x+16

Subtract 8x from each side

8x-32 -8x = 32x+16-8x

-32 = 24x+16

Subtract 16 from each side

-32-16 = 24x+16-16

-48 = 24x

Divide by 24

-48/24 = 24x/24

-2 =x

Which of the following triangles could lie on the graph with the same rise over run in Question # 3?
A. A triangle with a rise of 10 and a run of 30
B. A triangle with a rise of 30 and a run of 10
C. A triangle with a rise of 10 and a run of 40
D. A triangle with a rise of 2 and a run of 5

Answers

Answer:

B.

Step-by-step explanation:

B: A triangle with a rise of 30 and a run of 10

Which graph best represents a function with zeros of -2, -1 and 2

Answers

Answer:

D

Step-by-step explanation:

Because if you see the x-intercept you will see function with zeros of -2, -1 and 2

Given the following graph what is the slope?

Answers

Answer:

slope = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 1) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = [tex]\frac{2-1}{0-(-4)}[/tex] = [tex]\frac{1}{0+4}[/tex] = [tex]\frac{1}{4}[/tex]

A t-shirt increased in price by 1/4. After the increase it was £20. What was the original price of the t-shirt?

Answers

Answer:

£16

the t-shirt increased by 0.25. let's convert that to percentage

therefore it increased by 25%

By using cross multiplication we can write as follows:

125%=£20

100%=£ x

(100×20)/125= £16

In the figure given, what is the (numerical) value of x?
(5a)
(4a)

Answers

Do you mean the value of a?

A house on the market was valued at $478,000. After several years, the value increased by 8%. By how much did the house's value increase in dollars? What is
the current value of the house?

Answers

Answer:

$38240 increase$516240 current value

Step-by-step explanation:

Initial value of house is $478000

Change in value is 8% greater:

478000 + 8% = 478000 + 8*478000/100 = 478000 + 38240 =516240

We need 8% of Value

[tex]\\ \sf\longmapsto 8\%\:of\;478000[/tex]

[tex]\\ \sf\longmapsto 0.08(478000)[/tex]

[tex]\\ \sf\longmapsto 38240\$[/tex]

Current value:-

[tex]\\ \sf\longmapsto 478000+38240=516240[/tex]

Complete the ordered pair for the equation y=-3x - 5.

(__,4)

Answers

Answer:

[tex](-3,4)[/tex]

Reasoning:

This problem is telling you that if y equal 4, what does x equal?

You can easily insert the y value to find the constant x.

[tex]4=-3x-5[/tex]

[tex]9=-3x[/tex]

[tex]\frac{9}{-3} =\frac{-3x}{-3}[/tex]

[tex]-3=x[/tex]

what is the common denominator of 5/8 and 1/6? need answers ASAP ​

Answers

Answer:

48 & 24

Step-by-step explanation:

6×8 and 8×6 will get you 48

6×4 and 8×3 will get you 24

A tech store offered a 40% discount off the regular price of a Nintendo Switch. The amount of the discount is $160. What is the regular price of the Switch?

Answers

Answer:

96

Step-by-step explanation: 40 percent is 64 so just subtract that from 160

51 samples were analyzed, and the sample mean was 9.7 ounces. Can you determine the standard deviation of the sample

Answers

Using the Central Limit Theorem, it is found that the standard deviation for the sampling distribution of sample means is given by:

[tex]s = \frac{\sigma}{\sqrt{51}}[/tex].

In which [tex]\sigma[/tex] is the population standard deviation.

The Central Limit Theorem states that, the sampling distribution of sample means of size n, from a population with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], has mean [tex]\mu[/tex] and standard deviation, which is also called standard error, [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this question, 51 samples, hence, [tex]n = 51[/tex]

Hence, applying the Central Limit Theorem, the standard deviation for the sampling distribution of sample means is given by:

[tex]s = \frac{\sigma}{\sqrt{51}}[/tex].

In which [tex]\sigma[/tex] is the population standard deviation.

A similar problem, which also involves the Central Limit Theorem, is given at https://brainly.com/question/24663213

Olivia has blue, pink and orange counters in a bag.
The ratio of blue to pink to orange counters is 4:5:2
(a) What fraction of the counters are blue?
(b) What fraction of the counters are orange?

Answers

Answer:

A. 4/11

B. 2/11

Step-by-step explanation:

Use the given values to find the fractions (4+5+2=11)

what is the answer to this problem its too hard -36= - w/8

Answers

Answer:

w=288

Step-by-step explanation:

-36=-w/8

-36•8=-w

-288=-w

w=288

Miko filled two tanks with water. The ratio of the amount of water in Tank A to Tank B is 3 : 2. The total amount of water in both tanks is 210 ℓ. How much water must Miko pour from Tank A into Tank B so that both tanks have the same amount of water?

Answers

Step-by-step explanation:

Answer is in above picture

Solve this equation by elimination method...

2x+7y=-17
3x+10y=-24
Please show work
I will give Brainliest :)

Answers

Answer:

x=2,y=-3

Step-by-step explanation:

detailed explanation showed in the image above

Last year, prices increased due to inflation. This year inflation caused prices to go up again. After the second increase, the price for a certain item became 6 times the original. What was the percent increase of the second increase if the first increase was 50%?

Answers

The second percentage increase in price is 300%.

Inflation is when there is a persistent rise in the general price levels in an economy. Inflation leads to an increase in the prices of goods and services.

Let's assume that the price of an item is $100.

This year prices are 6 times the original price. This means that prices are $600 ($100 x6).

Increase in prices after the 50% increase = (1.5 x 100) = $150.

Percentage increase in price so that price is now $600 = $600 / $150 - 1 = 3 = 300%

A similar question was answered here:  https://brainly.com/question/11839495

Answer:

300%

Step-by-step explanation:

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