How to solve X²-X-42uing
using Fertoning Polynomials

Answers

Answer 1

Answer:

x = - 6, x = 7

Step-by-step explanation:

Begin by equating to zero

x² - x - 42 = 0

Consider the factors of the constant term (- 42) which sum to give the coefficient of the x- term (- 1)

The factors are - 7 and + 6 , since

- 7 × + 6 = - 42 and - 7 + 6 = - 1 , then

(x - 7)(x + 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x - 7 = 0 ⇒ x = 7


Related Questions

Need help real quick lol pls

Answers

Answer:

A

Step-by-step explanation:

let me know if this was right or wrong

if ?/100 = 0.2 then ? =

Answers

Answer:

20

Step-by-step explanation:

x / 100 = 0.2

Multiply both sides by 100 to isolate x. 100 x 0.2 = 20

In the given expression the missing term is 20.

Use the concept of fraction defined as:

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.

The given expression is:

?/100 = 0.2

Then we have to find out the missing term.

Let the missing term is x

Therefore, we can write,

x/100 = 0.2

Multiply 100 on both sides we get,

x = 0.2 x 100

x = 20

Hence,

The missing term is 20.

To learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

pls help help help help​

Answers

So you plug in 7 wherever you see a T so it would be 2(7)-3 you simplify it and you’re answer is 11

Find the nth term of this quadratic sequence 3,8,15,24,35...

Answers

Answer:

n^2 + 2n.

Step-by-step explanation:

n       =       1     2     3     4     5

term t =     3    8     15   24   35

Diffs  =          5    7      9     11

                        2     2     2             - so the nth term contains n^2.

n^2   =       1     4      9    16    25

t - n^2 =    2    4      6     8     10

This is an arithmetic sequence with nth term = 2 + (n-1)2 = 2n

So the nth term of the quadratic sequence = n^2 + 2n.

Ernie is . All of these points on the same line because the slope between (0, 0) and (3, 3) equal to -4.

Answers

Answer:

Ernie is incorrect.

Step-by-step explanation:

I suppose that we want to see if Ernie statement is correct or not.

Suppose that we have a line that passes through the points (x₁, y₁) and (x₂, y₂)

The slope of that line can be calculated as:

slope = (y₂ - y₁)/(x₂ - x₁)

In this case, we know that the line passes through (0, 0) and (3, 3), then the slope of this line is:

slope = (3 - 0)/(3 - 0) = 3/3 = 1

Then Ernie got the slope wrong, which means that he is wrong.

Liz can paint a house in 13 hours. Carlos can paint the same house in 11 hours. How long would it take to work together?

5 hours and 40 min
5 hours and 13 min
5 hours and 22 min
5 hours and 58 min

Answers

Answer:

5.9 hours

Step-by-step explanation:

1/13+1/11=1/x

looking for x

x= 5.9

are you clear?

How many solutions does the following system of equations have?

One Solution
O No Solutions
Infinitely Many Solutions

Answers

Answer:

I think its two eqautions

Answer:

b

[tex]\int\limits^a_b {x} \, dx[/tex]

Step-by-step explanation:

Can the sides of a triangle have lengths of 3, 8, and 3
Explain??

Answers

Answer:

no

Step-by-step explanation:

the triangle rule is the sum of any two sides of a triangle MUST be larger than the third, in this case 3+8 > 3, but 3+3 < 8 so it cannot be a triangle

Answer:

An isosceles triangle has two side lengths that are the same and one side length that is different. Soo... basically to sum it up in a word, yep.

Step-by-step explanation:

Triangle DAN is graphed on the set of axes below.
The vertices of ADAN have coordinates D(-6,-1),
A(6,3), and N(-3,10).

Answers

The area of the triangle DAN is 60 square units if the vertices of ΔDAN have coordinates D(-6,-1), A(6,3), and N(-3,10) option first is correct.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have triangle DAN which is graphed on the set of axes.

The vertices of ΔADN have coordinates:

D(-6, -1), A(6, 3), and N(-3, 10)

We can find the area of the triangle using the coordinates of the triangle such as:

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]

Let's denote the coordinates N(-3, 10), D(-6, -1), andA(6, 3), and with

[tex]\rm (x_1, y_1), (x_2, y_2), \ and \ (x_3,y_3)[/tex] respectively.

Put these points in the above expression, we get:

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [-3(-1-3)-6(3-10)+6(10-(-1))][/tex]

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [-3(-4)-6(-7)+6(11)][/tex]

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [12+42+66][/tex]

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [120][/tex]

Area of the triangle = 60square units

Thus, the area of the triangle DAN is 60 square units if the vertices of ΔDAN have coordinates D(-6,-1), A(6,3), and N(-3,10) option first is correct.

Learn more about the triangle here:

brainly.com/question/25813512

A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t^2+90t gives the height h of the ball after t seconds.

a. Find the maximum height of the ball.

b. How many seconds will it take for the ball to reach the ground?

Answers

The ball reaches a height of 126.58 ft after 2.8125 seconds

Step-by-step explanation:

The maximum height of a parabola can always be found by looking for the vertex. You can find the x value (or in this case the t value) of a vertex by using -b/2a in which a is the coefficient of x^2 and b is the coefficient of x.

-b/2a

-(90)/2(-16)

-90/-32

2.8125 seconds

Now to find the height, we input that value in for t

h = -16t^2 + 90t

h = -16(2.8125)^2 + 90(2.8125)

126.58 feet

so is not 30 so what is it? I’ll mark brainliest

Answers

Answer:

15

Step-by-step explanation:

in a triangle

base (b) = 5 cm

height (h) = 6 cm

Area of the triangle

= 1/2 * b * h

= 1/2 * 5 * 6

= 5 * 3

= 15 cm²

hope it helps :)

For the function g(x) = -3x - 8, find the value of x when g(x) = 10.

Answers

Answer:

-6

Step-by-step explanation:

substitute -6 for x in the equation g(x)=-3x-8

= -3(-6) -8

=18-8

=10

hope this helped!

Two numbers have a sum of - 6 and a product of 9.
Use the quadratic equation n^2 - 6n + 9 = 0 to determine the two numbers.
n2 - 6n + 9 = 0

Answers

Answer:

3, 3

Step-by-step explanation:

[tex]n^2 - 6n + 9 = 0 \\ n^2 - 3n - 3n+ 9 = 0 \\ n(n - 3) - 3(n - 3) = 0 \\ (n - 3)(n - 3) = 0 \\ n - 3 = 0, \: \: n - 3 = 0 \\ n = 3, \: \: n = 3[/tex]

Thus, the two numbers are 3, 3

A company’s board of directors took a random sample of 10% of the company’s employees and surveyed them about their happiness at work. What would most likely happen if they decided to randomly sample 15% of the company’s employees instead?
A. The sample mean would more closely model the population mean.
B. The sample mean would not be affected.
C. There is not enough information to determine how the sample mean would be affected.
D. The sample mean would less closely model the population mean.

Answers

Answer:

The sample mean would more closely model the population mean.

Step-by-step explanation:

- 16 – - 22,what is the difference

Answers

the answer is 6 ..........

Answer is 6.

Explaination:

When subtracting a negative number, the number becomes positive and the minus sign to a plus sign.

GIVING BRAINLIEST AND THE REST OF MY POINTS! PLS HELP :((

Answers

1. Rhombus
2 trapezoid
3 rhombus
4 square
5 rectangle

Two trains are traveling toward each other, on parallel tracks. Train A is moving at a constant speed of 70 miles per hour. Train B is moving at a constant speed of 50 miles per hour. The trains are initially 320 miles apart. How long will it take them to meet?

Answers

Ummm I don’t know what it is

What's the surface area if the radius of a cylinder is 6 and the height is 10 in ?

Answers

Answer:

A≈603.19in²

Step-by-step explanation:

sorry if it's wrong

Answer:

603.19

Step-by-step explanation:

The frequency,f kilohertz of a radio wave is inversely proportional to its wavelength, Ym. The frequency of a radio wave that has a wavelength of 3000m is 100 kHz. Find (i) The frequency of a radio wave that has a length of 500m (ii) The wavelength of a radio wave that has a frequency of 800kHz

Answers

Step-by-step explanation:

The frequency of a radio wave that has a wavelength of 3000m is 100 kHz

(a) Wavelength = 500 m

We know that,

[tex]f=\dfrac{c}{\lambda}\\\\f=\dfrac{3\times 10^8}{500}\\\\f=600\ kHz[/tex]

(b) Frequency, f = 800 kHz

[tex]\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{800\times 10^3}\\\\\lambda=375\ m[/tex]

Hence, this is the required solution.

7. James earned $13 on Monday and doubled his pay each day thereafter for a week. How
much did he earn on Saturday?

Answers

Answer:

416$

Step-by-step explanation:

number 7 pls im dead I need help

Answers

Answer:

c

Step-by-step explanation:

divide the two numbers.

HELPPP ASAP 10 POINTS

Answers

99 i think cuz 11 times 9

3x-5>-41
Solving inequality

Answers

Answer:

x [tex]\geq 11[/tex]

Step-by-step explanation:

x can equal anything -11 and above

Sherry and Karl both started their hike with a small bottle filled with water. Tia started her hike with a larger that was 1/2 full. At the end of the hike, Sherry and Tia’s bottles were each half filled with water. Karl’s bottle was filled 1/3 filled with water. Who has the most water left? Construct a math argument to support your answer.

Answers

Answer:

The person with the most water left is;

Tia

Step-by-step explanation:

The parameters given in the question are;

The volume of water Sherry and Karl both started their hike with = 1 small bottle each

The volume of water Tia started her hike with = 1/2 of a larger bottle of water

The volume of water Sherry had at the end of the hike = 1/2 of the small bottle of water

The volume of water Tia had at the end of the hike = 1/2 of the large bottle of water

The volume of water Karl had at the end of the hike = 1/3 of the small bottle of water

Let 'x' and 'y' represent the sizes of the bottles of water with Sherry and Karl  respectively and let 'Z' represent the size of the bottle of water Tia started the hike with, we have;

The volume water with Tia at the end of the hike = 1/2·x

The volume water with Karl at the end of the hike = 1/2·y

The volume water with Tia at the end of the hike = 1/2·Z

Given;

Z > x

Z > y

∴ 1/2·Z > 1/2·x

1/2·Z > 1/3·y

Therefore, Tia with half of the larger bottle of water at the end of the hike, 1/2·Z has the most water left.

i need help with this​

Answers

Answer:

1) 0.04, 3.6

2) 0.35, 49

Step-by-step explanation:

Answer:

1. 90x0.04= 3.6

2. 140x0.35=49

Step-by-step explanation:

convert to decimal to calculate the percent.

A rectangular blanket is 4 times as long as it is wide. Its width is 8 yards. What is the area of the blanket?​

Answers

Answer:

The area is 256

Step-by-step explanation:

you deposit $1050 into an account that pays 7.25% interest per year. find the amount after six year given the following:
a) compounded semiannually b) compounded monthly

Answers

Uhhh this is ap Reese end die die I don’t yuuuu

NO FILES OR LINK PLSSS HELP

a.14ft/yr
b.3ft/yr
c.7ft/yr
d.10ft/yr

Answers

Answer:c.7ft/yr

Step-by-step explanation:

How many anime have you watched and name 10 of them if you can :D

Answers

Answer:

the best anime is death note.

Step-by-step explanation:

Answer:

My hero Achadamia is my fav. um Attack of the titan Black Clover and Fruits basket thats all i can name lol

Step-by-step explanation:

PLEASE HELP MEEEEEE I WILL MARK BRAINLIEST

Answers

Answer:

hahahahahaha idfk

Step-by-step explanation:

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