find the roots of the following quadratic equtions by factorisation ;


[tex] { x}^{2} - 3x - 10 = 0[/tex]

Answers

Answer 1

Answer:

[tex] {x}^{2} - 3x - 10 = 0 \\ (x - 5)(x + 2) = 0 \\ \\ x - 5 = 0 \: - > x = 5 \\ \\ x + 2 = 0 \: - > x = - 2[/tex]


Related Questions

Help…!!!!!pls…!!!! It’s really urgent

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Answer:

Step-by-step explanation:

which of the following expression represents the perimeter of the figure below

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Answer:

No picture is displayed

What is the completely factored form of f(x) = 6x3 – 13x2 – 4x 15? (x 1)(6x2 – 19x 15) (x 1)2(2x – 3) (x 1)(3x – 2)(5x – 3) (x 1)(2x – 3)(3x – 5)

Answers

The completely factored form of f(x) = 6x³ - 13x² - 4x + 15 is f(x) = (x + 1)(2x - 3)(3x - 5)

How to factor the expression?

The expression is given as:

f(x) = 6x³ - 13x² - 4x + 15

Expand the expression

f(x) = 6x³ - 19x² + 6x² + 15x - 19x + 15

Rewrite as:

f(x) = 6x³ + 6x² + 15x- 19x²   - 19x + 15

Factorize the equation

f(x) = (x + 1)(6x²- 19x + 15)

Expand (6x² - 19x + 15)

f(x) = (x + 1)(6x² - 10x - 9x + 15)

Factorize the expression

f(x) = (x + 1)(2x - 3)(3x - 5)

Hence, the completely factored form of f(x) = 6x³ - 13x² - 4x + 15 is f(x) = (x + 1)(2x - 3)(3x - 5)

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Answer: D

Step-by-step explanation:

The results of a survey of 200 adults are shown in the table?

Answers

Answer:

A. [tex]\frac{14}{200}[/tex]

Step-by-step explanation:

There are 200 people in total to choose from, and only 14 of them are 6' and male.

pls help me with this question​

Answers

All that apply are answers A and C because the domain is referring to the min and max x values and at the height of 13 feet would be at 3 seconds

When y is 4, p is 0. 5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equation models the situation?
x p m y = 8
StartFraction x y Over p m EndFraction = 8
StartFraction x p m Over y EndFraction = 0. 5
StartFraction x Over p m y EndFraction = 0. 5

Answers

Answer:

  [tex]\dfrac{xy}{pm}=8[/tex]

Step-by-step explanation:

If x varies directly as the product of p and m, and inversely with y, the relation can be written ...

  x = k(pm)/y . . . . where k is the constant of proportionality

__

This can be solved for k:

  k = xy/pm

For the given values, the value of k is ...

  k = (2)(4)/((0.5)(2)) = 8

Then the relation between the variables can be written ...

  (xy)/(pm) = 8

Answer:

B

Step-by-step explanation:

Question is in photo below. ​

Answers

Answer:

ordered the numbers below from least to greatest

Ascending Order: -√100 , 9 4/11 , 9.46 , 9.5

hope that helped...

helppppppppppppppppppppp

Answers

Answer:70,470 dollars

Step-by-step explanation:

Answer:

$3 per square foot

Step-by-step explanation:

Find the area of all the surfaces around the rectangle, by multiplying length times width of each side.

Then add all of the answers together and divide by how much the wallpaper cost by square foot, which would be 522/174 which equals 3.

HELPP FOR BRIANLEST!!!

Answers

Answer:

Your answer Exterior C is 160°

Interior C is 20°

Step-by-step explanation:

<A + <B + <C = 180°

<Left C + <Right C = 180°

<A + <B = <Right C

(5x - 10)° + 12x° = 16x

17x - 10 = 16x

x = 10

<A = 5x - 10

<A = 5*10 - 10

<A = 50 - 10 = 40°


<B = 12x

<B = 12*10

<B = 120°

<A + <B = <Right C.

40° + 120° = 160°

What is the scale factor from Figure AAA to Figure BBB? please 3

Answers

Answer:

1:3

Step-by-step explanation:

9:3=3

3.6:1.2=3

A is 3 times greater than B. It means that the scale factor from A to B is 1:3

Juliana bought 3 bags of chips for 0.85 each and 3 sodas for herself and two friends and spent exactly $6 (before tax.) write an equation to find the price of each can of soda.

Answers

Answer: Cost of 1 soda = (Amount Juliana had- Cost of 3chips)/3

Step-by-step explanation: Cost of 3chips =$0.85×3= $2.55

Cost of 3 soda will be $6-$2.55
Cost of 1soda will be ($6-$2.55)/3

consuela is displaying a cylindrical case on a pedestal. she wants it to be placed so that there is an even amount of space on either side of the case. if the volume of cylinder shown is 1,130.97 cubic inches, how much space will be on either side if its placed on a pedestal that is 18 inches across? round to the nearest inch

Answers

The space that will be on either side if its placed on the pedestal of the cylinder that is 18 inches across will be 4.47 inches.

How to compute the dimension?

It should be noted that the volume of a cylinder is given as:

= πr²h

We'll then slot the values given into the formula. This will be:

Volume = πr²h

1130.97 = (3.14 × r² × 18)

1130.97 = 56.52r²

r² = 1130.97/56.52

r² = 20

r = ✓20

r = 4.47

In conclusion, the space will be 4.47 inches.

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Which statement(s) are true based on the pythagorean identities? sine squared (theta) = 1 cosine squared theta 1 = secant squared theta minus tangent squared theta cotangent squared theta = cosecant squared theta minus 1 1 minus tangent squared theta = negative secant squared theta negative cosine squared theta = sine squared theta minus 1

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The statement that is true based on the Pythagorean identities is  cotangent-squared of theta - cosecant-squared of theta = -1.

Why is the equation  above true?

Note that cotangent-squared of theta - cosecant-squared of theta = -1. is tru because it is the only equation that is correct.

So therefore,  cotangent-squared of theta - cosecant-squared of theta = -1.

Learn more about Pythagorean from

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Answer:

BCE

Step-by-step explanation:

edg

SOMEONE HELP THIS IS THE LAST QUSETION I NEED IT FAST QUICK PLS

Answers

Answer:

18

Step-by-step explanation:

to solve this we need to find how frequent pink is landed on. to find the frequency we add all the total

12+6+9+13=40

then we divide 6 (frequency of pink) by 40 to fing how frequent 6 is in percentage

6÷40=.15=15%

then we multiply 15% by 120

120×.15= 18

Find the value of x for each of the special parallelograms.
5. rhombus

Answers

The two angles given are supplementary angles so when added together need to equal 180 degrees.

2x-1 + 4x+28 = 180

Simplify:

6x +27 = 180

Subtract 27 from both sides:

6x = 153

Divide both sides by 6:

x = 25.5

i got x=25.5
because it looks like those added together equals 180 degrees so set that up as an equation than combined like terms and solve it algebraically

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

1 3/5 miles

Step-by-step explanation:

7 4/5 - 6 1/5

= 7 - 16+ (4/5 - 1/5)

= 1 + 3/5

= 1 3/5

is either x=5 or x=6 a solution to 4x>21

Answers

Answer:

x=6

Step-by-step explanation:

The inequality is saying that 4×x is more than 21

4×5 = 20 which is not more than 21

4×6 = 24 which is more than 21

Therefore the lowest integer solution to this is that x = 6

Answer:

[tex]4x > 21[/tex]

[tex]\cfrac{4x}{4} > \cfrac{21}{4}[/tex]

[tex]x > \cfrac{21}{4}[/tex]

I'd say no!

need help with question 16

Answers

Answer:

C)

Step-by-step explanation:

u =  x + 1

u - 1 = x

[tex]\int\limits {\dfrac{x}{\sqrt{x+1}}} \, dx = \int\limits {\dfrac{u-1}{\sqrt{u}}} \, du \\\\[/tex]

                   [tex]=\int {\left(\dfrac{u}{u^{\frac{1}{2}}}-\dfrac{1}{u^{\frac{1}{2}}} \right )\, du \\\\ = \int {u^{1-\frac{1}{2}}-1*u^{\frac{-1}{2}}} \, du\\\\ =\int {(u^{\frac{1}{2}}-u^{\frac{-1}{2}})} \, du[/tex]

At a carnival game, you may win an inflatable crayon, you may win a small stuffed animal, or you may win nothing at all. If the probability of winning nothing is 0.71 and the probability of winning a small stuffed animal is 0.17, what is the probability of winning an inflatable crayon? Express your answer as a decimal.

0.83
0.88
0.29
0.12

Answers

Answer:

I got 0.12 edited*

Step-by-step explanation:

Answer:  

D) 0.12

Step-by-step explanation:

The max value is 100%.

Add .71 + .17 = .88

Lets change .88 to 88.

100 - 88 = 12

make 12 a decimal.

0.12

f(x) = (x + 1)(x - 3)(x - 4)

Answers

Step-by-step explanation:

[tex]f(x) = {x}^{3} + 6 {x}^{2} + 5x + 12[/tex]

x intercept = -1, 3 and 4

y intercept = 12

PLEASE HELP ASAP!! WILL GIVE BRAINLIEST
what is the exact value of tanC

Answers

Answer:

tan C = 5/√39

Step-by-step explanation:

tan C = opp/adj

For angle C, the opposite leg is AB, 5.

The adjacent leg is BC, √39.

tan C = 5/√39

PLEASE HELP AND FAST

Answers

Answer:

It would be A because the probability is above 0 percent however it is below 50 percent which is 0 and 0.5 in the question.

Step-by-step explanation:

3. Select all the sectors which have an area of 3pi square units.
a)a sector with a radius of 6 units and a central angle of 30 degrees
b)a sector with a radius of 6 units and a central angle of 45 degrees
c)a sector with a radius of 3 units and a central angle of 60 degrees
d)a sector with a radius of 3 units and a central angle of 120 degrees
e)a sector with a radius of 3 units and a central angle of 180 degrees

Answers

Answer:

Sector A sector C sector D correct answers

Answer: A, C, D

Step-by-step explanation:

The reason for this is because you plug it in as a fraction to simplify.

Example: 9π/3 simplify to 3π/1 because both divide by 3

Which piecewise function represents the graph?

Answers

Answer:

D

Step-by-step explanation:

If you look at the right side of each piecewise function, you will see the x-values. That is what we will be focusing on in this explanation. All four equations have x > 4, and we know that to be true. If you look at the equation on the graph going South West, you will see that the endpoint is at x=1. Only 1 equation, D, has this in the piecewise function. To confirm it is D, you can see that 1<x<4 is also in the piecewise function, and all the values line up with their corresponding y-values.

Hope this helps! :)

If f(x) = 2x − 9 and g(x) = x2 + 3, what is (f + g)(4)? (1 point)

Group of answer choices

a. 18

b. 20

c. −19

d. −20

Answers

Answer:

a. 18

Step-by-step explanation:

(f+g)(4) = f(4) + g(4)

           = 2(4) - 9 + 4² + 3

           = 8 - 9 + 16 + 3

           = -1 + 16 + 3

           = 15 + 3

           = 18

mayonaise on a escatlater going so fast so i will see you later

Answers

Ummm….ok lol that sounds…interesting?

Glen surveyed 60 people at a coffee shop. He found that 27 individuals selected iced coffee as their favorite beverage. What is the experimental probability that the next person will select iced coffee as their favorite?

Answers

Answer:

45%, 9/20, etc.

Step-by-step explanation:

Well, if it is 27 out of the 60, then you can divide each by 3 to get 9/20. Then, you multiply both by 5, and get 45/100. Therefore, the probability is 45% or 9/20, however you put it.

Write the quotient as a mixed number. 91 ÷ 8 = 11 R3

Answers

Answer:

[tex]11\frac{3}{8}[/tex]

The height of a single car on a Ferris wheel is modeled by a cosine function.

The car completes 4 whole rotations in a time period of 27 minutes.

Write a function rule that could model this situation?

Answers

The cosine function that can model this real-world scenario is:
f(x) = -106cos (4x) + 106. See how the same is derived below. The full question is also attached.

What is a Cosine Function?

A Cosine Function is a periodic function that is denoted as Cos x. See the attached image.

The above function is derived as follows:

T = 2π/4 = π/2 = 2π/ω

Therefore, ω = 2π/π/2 = 4

This means f(x)= -106 cos (4x) + 106

Learn more about Cosine Functions at:
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Please help. Thank you!

Answers

Answer:

B

Step-by-step explanation:

When you think about it, turn all the answers upside down and see if any of them look just like the figure you are given

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