13. Find the roots of the quadratic equation by using the quadratic formula and factorization method (i) x 2 – + 10 = 0

Answers

Answer 1

Answer:

x = 5 or -2

Step-by-step explanation:

The general quadratic formula is expressed as;

ax²+bx+c = 0

Given

x² - 3x -10 = 0

a = 1, b = -3 and c = -10

x = -(-3)±√(-3)²-4(1)(-10)/2(1)

x = 3±√9+40/2

x = 3±√49/2

x = 3±7/2

x = 3+7/2 or 3-7/2

x = 10/2 or -4/2

x = 5 or -2

By Factorization

x² - 3x -10 = 0

x² - 5x+2x -10 = 0

x(x-5)+2(x-5) = 0

(x-5)(x+2) =0

x - 5 =0 and x+2 = 0

x = 5 or -2


Related Questions

what are the steps to this problem?

Answers

angles b and the angle that measures 68° are complimentary angles so they add up to 180°. angle b would be 112°.

I need help on this one

Answers

Answer:

just look at the constant terms...

A: 5

B: 7

C: -5

1) 11-6 = 5 thus answer A

2) -3 -2 = -5 thus answer C

3) -5 - (12) = -5 + 12 = 7 thus answer B

Step-by-step explanation:

how many ways can a person toss a coin 14 times so that tge number of tails is between 7 and 12 inclusive​

Answers

Answer:

8 tails I think so If the answer is correct plz mark me the brainliest

In the figure, .

∠AEB and ∠CED are congruent
.

∠AEC and ∠
are congruent by the Vertical Angles Theorem.

Answers

Answer:

∠AEC ≅ ∠BED by vertical angles theorem

Answer:

Answer:

∠AEC ≅ ∠BED by vertical angles theorem

Step-by-step explanation:

in an isosceles triangle KLM, ∠K is congruent to ∠M and m ∠M=55°. find the m ∠L

Answers

Answer:

70°

Step-by-step explanation:

m ∠L = 180-(55+55)

= 180-110

=70°

The doll was considered a "feminine" toy. Do these data provide convincing evidence that the mean percentage of the time spent playing with the doll is greater for female monkeys than for male monkeys?

Answers

Answer:

yes it does because men comes before women

Can somebody help plz help me with this?

Answers

Answer:

N-8

Step-by-step explanation:

1011+1111=in binary answer, anyone that answer me first I will follow u​

Answers

Answer:

Step-by-step explanation:

answer is   [tex](11010)_{2}[/tex]

Multiply the polynomials.
(8x2 + 6x + 8)(6x-5)
A. 48x3 - 4x2 + 18x + 40
B. 48x3 - 76x2 + 18% - 40
C. 48x3 - 4x2 + 78x - 40
D. 48x3 - 4x2 + 18x- 40

Answers

I’m pretty sure that the answer is D

Please help I wanna pass

Answers

Answer:

Everything is correct except for the second one and the ones you checkmarked.

Step-by-step explanation:

Which weights are within 2 standard deviations of the mean? Select three options.

Answers

Answer:

8.9 lbs

9.5 lbs

10.4 lbs

are correct three options for this

Step-by-step explanation:

but u should give options too

It took me a long time to find the answer from book..

so If you had given options, I would not have spent so much time to find the ans..

From the next time you have to take care of it okay

seeya !! (◕ᴗ◕✿)

I need help in this zzzzzzz

Answers

Answer:

[tex]7[/tex]

Solution:

This is a linear function. This means means that r is our rate of change.

To find r recal following formula

[tex]r=\frac{\Delta y}{\Delta x} = \frac{y_2-y_1}{x_2-x_1}[/tex]

Since this is a linear function we can choose any two points. I will choose the first two for simplicity

[tex]\Displaystyle \therefore r = \frac{42-14}{6-2}=\frac{28}{4}=7[/tex]

f(x)=x^2-5 find f(7)

Answers

Answer:

44

Step-by-step explanation:

substitute the 7 into the equation for x

f(x) = [tex]x^{2}[/tex] - 5

f(7)  = [tex]7^{2}[/tex] - 5

f(7) = 49 - 5

f(7) = 44

Answer:

f(7) = 44

Step-by-step explanation:

To evaluate the function f(x)=x^2-5 at x = 7, replace each instance of 'x' in this function by 7:

f(7) = 7^2 - 5 = 49 - 5 = 44

So:  f(7) = 44

What is the range of the given function?

{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

A {x | x = –5, –4, –2, 0, 2}
B {y | y = –9, –3, 0, 5, 7}
C {x | x = –9, –5, –4, –3, –2, 0, 2, 5, 7}
D {y | y = –9, –5, –4, –3, –2, 0, 2, 5, 7}

Answers

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]

What is the range of the given function?(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)

[tex]\huge\underline{\sf{\red{Choices:}}}[/tex]

A {x | x = –5, –4, –2, 0, 2}

B {y | y = –9, –3, 0, 5, 7}

C {x | x = –9,–5,–4,–3,–2,0,2,5,7}

D {y | y = –9,–5,–4,–3,–2,0,2,5,7}

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex] \quad \quad \underline{ \boxed{\sf{ \red{ B.)\: {y | y = –9, –3, 0, 5, 7} }} }}[/tex]

What is range of a function?The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

The definition means:

The range is the resulting y-values we get after substituting all the possible x-values.

How to find the range?

The range of a function is the spread of possible y-values (minimum y-value to maximum y-value)Substitute different x-values into the expression for y to see what is happening. (Ask yourself: Is y always positive? Always negative? Or maybe not equal to certain values?)Make sure you look for minimum and maximum values of y.

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

#CarryOnLearning

[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]

In this addition problem, each letter stands for a different digit.
A
A
+ B B
-------------------
C C C

Find the value of A + B + C?

Answers

The answer is a+b+c equals abc

the question is on the image​

Answers

Answer:

70

Step-by-step explanation:

the fraction 7/10 turns into 70% which means 70 out of 100 tickets were sold.

Answer:

70 tickets sold

Step-by-step explanation:

Multiply the number of tickets by the fraction of tickets sold

100 *7/10

Rewriting

100/10 * 7

10*7

70

can someone help me with this please

Answers

Answer:

(3) is the right answer because 360° - 308° = 52°

Can someone help I don’t understand the question

Answers

Answer:

36x

Step-by-step explanation:

OF= 6x (given radius of circle)

OB=OF+FB

= 6x +6x(given OF=FB)

= 12x

Angle D= angle B and angle O= 60°( given arc EF is 60°)

D + B + O= 180° ( sum of angles in a triangle)

x + x + 60= 180° ( let the value of remaining angles be x and D= B)

2x= 180 -60

x = 120/2

x= 60°

now, triangle DOB is a equilateral triangle because all angles are equal.

so, OB=DB=OD= 12x ( all sides are equal in equilateral triangle)

so,

perimeter of DOB= OB+DB+OD

= 12x+12x+12x

= 36x

follow me if this was helpful

If P is the incenter of JKL, find m Please show the work, that would be really helpful, thank you!

Answers

Answer:

[tex]34^{\circ}[/tex]

Step-by-step explanation:

The incenter of a triangle can be defined as the intersection of three angle bisectors that bisect all angles of the triangle.

By definition, an angle bisector divides an angle into two equal smaller angles.

Therefore:

[tex]\angle KJN=\angle LJN,\\\angle KLM=\angle JLM, \\\angle JKP=\angke LKP[/tex]

What we're given:

[tex]\angle KJN=\angle LJN=30^{\circ}[/tex] [tex]\angle KLM=\angle JLM=26^{\circ}[/tex]

The sum of the interior angles of a triangle always add up to be 180 degrees. Since these six angles make up the total sum of the interior angles, we have the following equation:

[tex]\angle KJN+\angle LJN+\angle KLM +\angle KLM +\angle JKP+ \angle LKP=180^{\circ}[/tex]

Substituting given values:

[tex]30+30+26+26+\angle JKP+\angle LKP=180[/tex]

Since [tex]\angle JKP=\angle LKP[/tex],

[tex]30+30+26+26+2(\angle JKP)=180,\\112+2(\angle JKP)=180,\\2(\angle JKP)=180-112,\\2(\angle JKP)=68,\\\angle JKP=\frac{68}{2}=\boxed{34^{\circ}}[/tex]

x/3 -6 =y

Solve for x

Answers

Answer:

x= 3(y+6) or x = 3y + 18

Step-by-step explanation:

get the "x" by itself.

so first +6 on both sides of the equation to make it x/3=y+6

then multiply both sides by 3 to make it x=(y+6)*3

Given the following information, determine which lines are parallel and what justifies them being parallel.

Answers

Answers:

Blank 1 = p and r

Blank 2 = corresponding angles converse

==========================================================

Explanation:

Refer to the diagram below. I've marked lines p and r in red, and the angles 3 and 22 in blue. They are corresponding angles because they are both in the same southeast corner of their four-corner configuration.

If the corresponding angles are congruent, then the lines p and r are parallel by the aptly named corresponding angles converse

Pls help. It’s quite late <3

Answers

Answer:

a) 120

Step-by-step explanation:

B is twice the size of A

Pls help will mark brainliest and 30 points

Answers

1. Answer is option 3

2. Answer is option 3

Answer:

for #1 it's the 3rd one and for #2 it's the 4th one (2.8 meters)

Find the value of x in the triangle .Please show work

Answers

Answer:

x=4

Step-by-step explanation:

So basically first we see the angles of this triangle, and we learn that all the angles are congruent. Only a equilateral triangle can have all angles congruent, so this must be equilateral triangle. In equilateral triangles all the sides are congruent. So we just put 5x-12=3x-4. We then solve for x and get 4.

What number set does 20 belong to

Answers

i dont understand ur question pls make it more clear!

i have no idea what to do can someone pls help me quick

Answers

The correct answer is D. I found this by plugging in zero for X into each equation until I got 1/4 for a Y
The correct answer is d

Hi can anyone help me with this Q ? It’s for my final. I would appreciate it a lot !!
-
The angle of elevation from a boat to the top of a 125ft hotel is 22°
How far is the boat from the base of the hotel ? ( round to the nearest TENTH )

Answers

Answer: B

Step-by-step explanation:

Bc said so

Please help don’t understand at all.

Answers

Answer:

tringlae mixed witha football goal take the fool goal out and go from there

Step-by-step explanation:

Which verbal expression shows 4 ÷ n?

Your answer:

n divided by 4


the quotient of 4 and n


the product of 4 and n


4 decreased by n

Answers

Answer:

'the quotient of 4 and n ' is the correct answer

I really, REALLY need help. I will give brainliest to whoever figures it out.

Answers

Answer:

79.5 + 5.5x = Y

Step-by-step explanation:

Sumo wrestler gained 5.5 kg per month

After 11 month, he weighed 140 kg.

Let x be his current weight.

Then x + 11(5.5) = 140

  x = 140 - 60.5

  x = 79.5

If Y is the weight of the wrestler after t months, then the linear equation would be:

 79.5 + 5.5t = Y

Other Questions
ba kiu truyn tn hiu ca t ba 2. Which of the following statements about accurate writing is true?O A. It considers all viewpoints as equally valid and gives equal space to each.O B. It contains emotional language to support the writer's claims.C. It considers only one viewpoint and explains it thoroughly.O D. It mentions other points of view and shows how they're incorrect. the length of a rope is 5y meters.from one end of the rope, 2y meters have been cut and from the other end x meters have been cut will mark brainlest oh! is a which part of speech? What is the y-intercept of function f? Kirsten is attending a university several hundred miles away from home. When she returns home for a visit during holiday break, her parents are astonished about how up-to-date she is about the experiences of her siblings and friends. She seemed to have maintained stable relationships with her significant others. Kirsten was able to keep informed due to ____________. Which of the following best defines nobles? *1.people from rich and powerful families2.powerful artists of the kingdom3.powerful farmers of the kingdom4.people from neighboring countries Ari drew a diagram to show organisms in an ecosystem. A flowchart. Cycle 1: 1, Grass. 2, Grasshopper. 3, Shrew or Mouse. 4, Fox. Cycle 2: 1, Grass. 2, Mouse. 3, Fox or Snake. Cycle 3: 1, Grass. 2, Rabbit. 3, Fox.What did Ari draw?a food chaina trophic chaina food weban energy web 4. Find the perimeter of quadrilateral PQRS A principal purpose of the Securities Exchange Act of 1934 is generally considered to be:[A] To establish specific statutory standards for contractual agreements between those corporations issuing bonds and the representatives of investors who own the bonds. [B] To protect the public against unfair and inequitable practices in the over-the-counter market and on stock exchanges. [C] To reimburse customers of failed broker/dealers. [D] To establish standards to govern activities of those organizations which engage in the business of providing securities investment advice. The slope at point A of the graph given below is:WILL MARK BRAINLIEST TO CORRECT ANSWER How do tragedy and comedy differ? Translate Shakespeare please!"God has given you one face, and you make yourself another." Apply the distributive property to factor out the greatest common factor.6+30=6+30=6, plus, 30, equals Congress passed a statute requiring that all full-time employees, including state and municipal employees, be paid overtime for any work over 40 hours per week, or be otherwise compensated through time off or vacation time. A small town located in a very warm climate employs only three refuse collectors and cannot afford to hire more. During the warmest times of the year, extra refuse collections are routine because of fear that rotting garbage in the hot climate could contribute to the spread of disease. During the hottest months, the three refuse collectors in the town regularly worked well beyond the 40 hours per week standard. Because of normal vacation time and the normally heavy garbage collection schedule, it would not be possible to give the refuse collectors additional time off during the cooler months without hiring additional refuse collectors. The town brings an action in federal district court, asserting that the federal statute requiring overtime pay to municipal works is unconstitutional.The court should hold the statute:A.Constitutional, as a reasonable application of the Necessary and Proper Clause.B.Constitutional, because regulation of state and local employees is within the ambit of federal power over interstate commerce.C.Unconstitutional, because regulation of state and local employees is an issue reserved to the states.D.Unconstitutional, because the state police power to promote health and safety precludes federal action in this case. A 2 kg stone is dropped from a height of 100 m. How far does it travel in the third second? take g = 9.8 m/s2 Increase 14187.13 by 14.5 Helppp me please asapppp How did geography contribute to the start of the Renaissance in Italy PLEASE I NEED HELP!!!!