Factorize x squared - 1x +10 =0

Answers

Answer 1

Answer:

no solution exists:

Step-by-step explanation:

x²−1x+10=0

Step 1: Simplify both sides of the equation.

x²−x+10=0

Step 2: Subtract 10 from both sides.

x²−x+10−10=0−10

x²−x=−10

Step 3: The coefficient of -x is -1. Let b=-1.

Then we need to add (b/2)^2=1/4 to both sides to complete the square.

Add 1/4 to both sides.

x²−x+ 1/4=−10+ 1/4

x²−x+ 1/4=−39 /4

Step 4: Factor left side.

(x  -1/2)² = −39 /4

Step 5: Take square root.

x  −1 /2 =±√ −39 /4

Step 6: Add 1/2 to both sides.

x  =−1/2  + 1/2 = 1/2 ±√ -39/4

x = 1/2 ±√ -39/4

No real solutions.


Related Questions

I don’t know if this is correct !!!! Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

1 correct

Step-by-step explanation:

switch 2nd and 3rd

2nd is positive and negative interval Jada needs to sell more than 3 kg in order to make a profit

3rd increasing and decreasing interval the more paprika Jada sells the more profit she makes

if a man walks for 6 miles at a steady speed of 3 mph how long will it take him

Answers

Answer:

It will take 2 hours

Step-by-step explanation:

6/3 = 2

Answer:

2 hours

Step-by-step explanation:

3 miles + 3 miles = 6 miles

1 hour + 1 hour = 2 hours

someone pls help me with this :nth term of 3 4.5 6 7.5 I need the answer asap

Answers

Answer:

9.5

Step-by-step explanation:

the numbers go up by 1.5

so, 7.5 + 1.5 = 9

8 divided by 4106 long division

Answers

Answer:

513.25  or 0.001

How i got the answer:

As we  that 06 + 4 = 10. 10 is not divisible by 8. It means that 4106 is also not divisible by 8. The correct answer will be 4106 divided by 8 is 513.25.

If you asking only 8 divided by 4106 the answer is 0.00194836824. In short form it is 0.001.

If you asking if 8 is divisible by 4106 the answer is 513.25. Steps are added above.

Answer: 513.25  or 0.001

Please mark me brainliest

Hope this helps.

answer is 8/4106 or 0.002

Just follow the rules for multiplication and keep going till the end


1) 2x – y = 1
2x +2y = 10


2) 5x – y =15

x + y = -3


please do both of these with explanation!!

Answers

Answer:

1) (2, 3)

2) (2, -5).

Step-by-step explanation:

2x – y = 1

2x +2y = 10   Subtract to eliminate  the 2x:

2x - 2x - y - 2y = 1  - 10

-3y = -9

y = 3.

Plug this into the first equation:

2x - 3 = 1

2x = 4

x = 2.

2)

5x – y =15

x + y = -3     Adding to eliminate y:

5x + x - y + y = 15 + -3

6x = 12

x = 2

Plug this into the first equation:

5(2) - y = 15

-y = 15 - 10 = 5

y = -5.

I want help! Please

Pocket allowance of 5 students respectively are:
125, 75, 150, 175, 200
Find out arithmetic mean.​

Answers

Answer:

145

Step-by-step explanation:

125+75+150+175+200= 725

725÷5=145

Answer:

145

Step-by-step explanation:

(125+75+150+175+200)÷5

725÷5= 145

Select the correct answer.
For which value of b can the expression x2 + bx + 18 be factored?

Answers

Answer:

11x

Step-by-step explanation:

(x + 2)(x + 9)

x2 + 9x + 2x + 18

x2 + 11x + 18

This is one possibility :)

A grocer wants to mix two kinds of candy. One kind sells for $1.80 per pound, and the other sells for $3.00 per pound. He wants to mix a total of 15 pounds and sell it for $1.95 per pound. How many pounds of each kind should he use in the new mix? (Round off the answers to the nearest hundredth.)

Answers

Answer: 13.12 pounds of the candy that sells for $1.80 per pound 1.88 pounds of the candy that sells for $3 per pound should be in the mixture.

Step-by-step explanation:

Let x represent the number of pounds of the candy that sells for $1.80 per pound that should be in the mixture.

Let y represent the number of pounds of the candy that sells for $3.00 per pound that should be in the mixture.

The total pounds of both candies in the mixture is 15. It means that

x + y = 15

Since he wants to sell the mixture for $1.95 per pound, the cost of the mixture per pound would be 1.95(x + y)

The equation would be

1.8x + 3y = 1.95(x + y)- - - - - - - - - - 1

Substituting x = 15 - y into equation 1, it becomes

1.8(15 - y) + 3y = 1.95(15 - y + y)

27 - 1.8y + 3y = 29.25

- 1.8y + 3y = 29.25 + 27

1.2y = 2.25

y = 2.25/1.2

y = 1.88

x = 15 - y = 15 - 1.88

x = 15 - 1.88 = 13.12

Answer:

the grocer should mix approximately 13.12  pounds of 1st candy.

the grocer should mix approximately 1.88 pounds of 2nd candy.

Step-by-step explanation:

From the given information.

let x represent the pounds of the first candy and y represent the pound of the second candy

We are being told that the grocer wants to sell a total of 15 pounds,

so;

[tex]x+y = 15 \\ \\x= 15-y[/tex]     -----  (1)

also; we are being informed that one kind sells for $1.80  per pound, and the other sells for $3.00 per pound. and he wants to mix a total of 15 pounds and sell it for $1.95 per pound.

So;

[tex]1.80 x + 3y = 15(1.95)[/tex]

[tex]1.80x + 3y = 29.25[/tex]      ------(2)

Replacing equation (1) into 2 ; we have :

1.8(15 - y) + 3y = 29.25

27 - 1.8y + 3y = 29.25

- 1.8y + 3y = 29.25 - 27

1.2y = 2.25

y = 2.25/1.2

y = 1.88

Therefore, the grocer should mix approximately 1.88 pounds of 2nd candy.

Replacing the value of y into equation (1)

x = 15 - y

x= 15 - 1.88

x  = 13.12

Therefore, the grocer should mix approximately 13.12  pounds of 1st candy.

This graph shows how the length of time a bicycle is rented is related to the rental cost. What is the rate of change shown in the graph?

A. 2 hours/dollar
B. 4 hours/dollar
C. $4/hour
D. $2/hour​

Answers

Answer:

$4/ hour

Step-by-step explanation:

every hour you go you add 4 dollars

example: 1 hour is $2

                2 hours is $6

What is the solution to the linear system y=-5x-21 and y=7x+15

Answers

Answer:

(-3,-6)

Step-by-step explanation:

Compair, then solve for x=-3

then solve you should get y=-6

Answer:

(-3, -6).

Step-by-step explanation:

Since both expressions in x are equal to y:

-5x - 21 = 7x + 15

-12x = 36

x = -3.

Plug x = -3 into the first equation:

y = -5*-3 -21  

= 15 - 21

y = -6.

y =

Factor the polynomial: x(6x - 1) – 3(6x - 1)
O A. -3x(6x - 1)
O B. 3x(6x - 1)
O C. (6x - 1)(x - 3)
O D. (6x - 1)(x + 3)

Answers

Answer:

C.

Step-by-step explanation:

x(6x - 1) – 3(6x - 1) = (6x - 1)(x - 3)

The factor of the polynomial x(6x - 1) – 3(6x - 1) is (6x -1) (x - 3).

The correct option is C.

To factor the polynomial x(6x - 1) - 3(6x - 1), we can observe that both terms have a common factor of (6x - 1). We can factor out this common factor using the distributive property.

The given expression can be rewritten as:

x(6x - 1) - 3(6x - 1)

Now, we can factor out the common factor (6x - 1):

(6x - 1)(x) - (6x - 1)(3)

Notice that we have (6x - 1) as a common factor in both terms. We can combine the two terms using this common factor:

(6x - 1)(x - 3)

Therefore, the factored form of the polynomial x(6x - 1) - 3(6x - 1) is (6x - 1)(x - 3).

Option C: (6x - 1)(x - 3) is the correct answer.

To learn more about Polynomials;

brainly.com/question/11536910

#SPJ6

In a sale all prices are reduced by 10% .What is the sale price of an article marked AED 75.

Answers

Answer:

67.5

Step-by-step explanation:

When you calculate the 10% of AED75, it is equal to AED7.5Then you subtract AED7.5 from AED75 which is AED67.5

Use factoring to solve. *

x^2-4x-12=0

please only give me the right answer I really need it

Answers

Answer:
x = 6, -2

Explanation:
x^2 - 4x - 12 = 0
(x - 6)(x + 2) = 0

Answer:

(6, -2)

Step-by-step explanation:

x^2-4x-12=0. 1 from 1x. -4 from -4x

(x - 6)(x + 2) = 0 1 * -12 = -12. -4

x - 6 = 0 -6 * 2 = -12. -6 + 2 = -4

+ 6 +6

x = 6

x + 2 = 0

-2. -2

x = -2

HELPP I don’t get this at all. I originally got c but my teacher said it was incorrect. This is about volume and cylinders. Explanation needed

Answers

Answer:

B

Step-by-step explanation:

The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], where r is the radius of the base and h is the height of the cylinder.

[tex]\pi \cdot 3.25^2 \cdot 10=105.625\pi \text{ cm}^3[/tex]

Therefore, the correct answer is choice B. Hope this helps!

Answer:

I believe it is b

LAST QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS

2. All of the following constructions start with a line segment except what?
A) constructing a line perpendicular to a point on a line
B) constructing equilateral triangles

Answers

I think it’s a because it sounds right idk

Answer:

A) Constructing a line perpendicular to a point on a line

Evaluate the trigonometric expression. Round your answer to four decimal places.
10 tan 20º =
a0

Answers

Answer:

3.6397

Step-by-step explanation:

10 tan (20°) = 3.6397

If cot x=v3, calculate (sin x)(cos x)-cos²x

Answers

Answer:

[tex]sin(x)\,cos(x)-cos^2(x)=\frac{\sqrt{3} -3}{4}[/tex]

Step-by-step explanation:

Recall the Pythagorean identity for cotangent:

[tex]1+cot^2(x)=csc^2(x)[/tex]

where the cosecant is the reciprocal of the sine function. So, since we know the value of the cotangent of the angle, we can derive the value of the square of the sine:

[tex]1+cot^2(x)=csc^2(x)\\1+(\sqrt{3})^2=\frac{1}{sin^2(x)} \\1+3=\frac{1}{sin^2(x)} \\4=\frac{1}{sin^2(x)}\\sin^2(x)=\frac{1}{4}\\ sin(x)=+/-\frac{1}{2}[/tex]

We can also use the Pythagorean identity for sin and cos, to find the value of [tex]cos^2(x)[/tex] and of cos(x):

[tex]cos^2(x)=1-sin^2(x)\\cos^2(x)=1-\frac{1}{4} \\cos^2(x)=\frac{3}{4}\\cos(x)=+/-\frac{\sqrt{3}}{2}[/tex]

We also notice that since the cotangent is positive, the angle "x" must be located in either the firs or the third quadrant, where both sine and cosine have the same sign (both positive in the first quadrant, and both negative in the third quadrant.

Then the requested quantity can be written as:

[tex]sin(x)\,cos(x)-cos^2(x)=(\frac{1}{2}) \,\frac{\sqrt{3} }{2} -\frac{3}{4} =\frac{\sqrt{3} }{4} -\frac{3}{4}=\frac{\sqrt{3}-3 }{4}[/tex]

I need A and B. Thanks

Answers

Answer:

A: its 13 cm

B:15cm

Step-by-step explanation:

A: its because its on a slight incline

B:again its on a big incline

The proof that TriangleMNG ≅ TriangleKJG is shown.


Given: AngleN and AngleJ are right angles; NG ≅ JG

Prove: TriangleMNG ≅ TriangleKJG

What is the missing reason in the proof?


a) the reflexive property

b) ASA

c) AAS

d) the third angle theorem

Answers

Answer:

b) ASA

Step-by-step explanation:

If you were to look at both triangles the marked angles are rothe other same for the side and also the angle of G which connects both triangles together.

The missing reason in the question is option B which is ASA that is ANGLE SIDE ANGLE.

What are congruent triangles?

Triangles are congruent when they have  three corresponding sides and exactly the corresponding  three angles are equal to other.

What are similar triangles?

If two triangles can be superimposed on each other then it is said to be similar triangles.

How to check similarity between triangles?

Two triangles are said to be similar if two angle and a side, one angle and two sides are equal to other.

If we look at the figure we found that both triangles the marked angles are same for the side and also the angle of G which connects both triangles together.

Hence the correct option for the problem is ASA (Angle Side Angle)

Learn more about congruent triangles at https://brainly.com/question/2938476

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Miss penny inherits £450 she decides to save some of the money and spend the rest. The ratio of savings to spending money is 9:6 How much does she save and how much does she spend?

Answers

Answer:

she spent £270.

Step-by-step explanation:

First, let us define what a ratio of 9:6 means.

when you have a ratio such as this, you have to add both ratios first:

9+6 = 15

This means that out of every 15 parts, the ratio of the sharing is 9 parts to 6 parts.

Now let us solve the problem

Savings to spending = 9:6

if total amount = m

ratio saved = 9/15 × m

ratio spent = 6/15 × m

Now total amount (m) = £450

∴ ratio saved = 9/15 × 450 = 4050/15 = £270

Therefore she spent £270.

To calculate the amount saved, we simply subtract 270 from 450, or we use (6/15 × 450). You can try it out to see if you get the same answer, which is she spent £180

josue earned $56.25 fixing a coding issue with a popular website.it took him a total of 4.5 hours to fix the issue.The equation 4.5x=56.25 can be used to find Josue hourly rate.What is Josue hourly rate?

Answers

In your calculator
Divide 56.25 by 4.5










That should equal 12.50
To double check you can
12.50 x 4.5 = 56.25

Tanya has ten bills in her wallet. If she has one more $5 bill than $10 bills, and two more $1 bills than $5 bills, how many of each does she have?

Please tell me the steps will choose brainliest

Answers

Answer:

5 Ones dollar bills

3 five dollar bills

2 ten dollar bills

Step-by-step explanation:

Help me ASAP
Estimate the measure of ∠DBC.

Answers

Answer:

135°

Step-by-step explanation:

Considering it's estimation, there isn't too much of an explanation, but here you go anyways.

A straight angle is equal to 180°. DBE is a straight angle.

DBC and CBE added together appear to be 180° (supplementary).

We are trying to find DBC. An obtuse angle has to be over 90°, which in this case DBC clearly is over 90°. From that you can conclude it isn't any of the first 3, so it's D. 135°

hope this helps and give brainliest if I am epic blah blah blah ;)

One circle has a diameter of 10 inches. A second circle has a diameter that is twice the diameter of the first circle. What is the ratio of the area of the smaller circle to the larger circle?

Answers

Answer:

[tex]78.54:314.16[/tex]

Step-by-step explanation:

First circle area with diameter 10 inches =

[tex]\pi r^2[/tex]

[tex]\pi \times 5^2[/tex]

[tex]=78.53981[/tex]

Second circle area with diameter 20 inches =

[tex]\pi r^2[/tex]

[tex]\pi \times 10^2[/tex]

[tex]=314.159265[/tex]

[tex]78.53981:314.159265[/tex]

Answer:

78.5 : 314.2

Step-by-step explanation:

Diameter of the first Circle = 10 inches

Diameter of the second Circle = 2(10) [TWICE] = 20 inches

So,

Area of the first circle:

Radius = 5 inches

Area = πr²

A = (3.14)(5)²

A = 78.5 inches²

Area of the second circle:

Radius = 10 inches

Area = πr²

Area = (3.14)(10)²

Area = 314. 2 inches

Now the ratio of the area of smaller circle to the larger circle is

78.5 : 314.2

Stephen and Bridget are marking exam papers. Each set takes Stephen 71 minutes and Bridget 2 hours. Express the times Stephen and Bridget take as a ratio in its simplest form.

Answers

Answer: 1:1.69014084507

Step-by-step explanation:

On Monday, 230 students were supposed to go on a trip to the zoo but 22 did not have permission slips. 5 buses were filled and 8 students had to travel in cars. How many students were in each bus

Answers

Answer:

40 kids traveled in each bus

hope this helped

Step-by-step explanation:

230- 22= 208

208-8= 200

200÷5 =40

Answer:

40 students road on each bus

Step-by-step explanation:

230-22=208

208-8=200

200÷5=40

Which of the following is a representation of a function?
A.8x^2+4x
B. 4x+3=y^2
C. 3y= 5x^2+y
D. x = y2

Answers

Answer:

A

Step-by-step explanation:

A 200 pound person weighs 33 pounds on the moon.​ Type the answers in the boxes below. 1. How much did the person's weight decrease?By what percentage did the person's weight decrease? Round the answer to the nearest percent.

Answers

Answer:

83.5%

Step-by-step explanation:

200-33= 167

167/200=x/100

167/2= 83.5

about 83.5%

Plss brainliest

The total weight of the person decrease is 167 pounds and the percentage by which person's weight decrease is 84%.

What is percentage decrease?

Percentage decrease is the value which is deducted or reduced from the initial value in the percentage part.

The weight of the person is 200 pound. The person's weighs on the  moon is 33.​

The person's weight decrease-

The change in the weight of the person is the difference of weight of the person and weight of the person on moon. Thus the change in weight of the person is,

[tex]\Delta W=200-33\\\Delta W=167[/tex]

The percentage did the person's weight decrease-

The change in person's weight is 167 pounds and the original weight of the person is 200 pounds. Thus the percentage change is,

[tex]\Delta W=\dfrac{167}{200}\times100\\\Delta W=83.5\%\\\Delta W\approx84\%[/tex]

Thus, the total weight of the person decrease is 167 pounds and the percentage by which person's weight decrease is 84%.

Learn more about the percentage decrease here;

https://brainly.com/question/11360390

What is the simplified expression for 5 a b + 9 a b minus a b?

Answers

Answer:

13ab

Step-by-step explanation:

5ab+9ab-ab=ab(5+9-1)=13ab


Help me ASAP please.

If two lines intersect and one angle measures 25°, what are the measures of the other angles?


25
75
155
125

Answers

Answer:

Two Lines that intersect from TWO angles.  The sum of the Two Angles is always 180 degrees.

180  Minus 25 =  155.

Step-by-step explanation:

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