x^2+ 5x – 6.

A.)(x-1)(x+6)
B.)(x+1)(x-6)
C.)(X-2)(x-3)
D.)(x-2)(x*3)

Answer:

90°

45°

45°

90°

Step-by-step explanation:

this is a square all the sides and angles are equal .

all angles being 90°.

and all diagonals of a square are also 90°

Answer:

x=24ft.............

Answer:

x = 24 ft.

Step-by-step explanation:

The 13 and the 5 and both multiplied by 2 to find the lengths of the second triangle. So, the 12 should also be multiplied by 2 to find the value of x:

12 * 2 = 24

x is 24 ft.

Answer:

It can help by solving out 12x50 because it is easier to solve without a calculator

Step-by-step explanation

Answer:

12x50=600

12x49=588

600-12=588!

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a linear relationship which means that it follows the equation;

y = mx + c

y will be the total after some months so will be $800

m will be the number of months

x is the amount the account increases by every month which is $50 here

c is the amount in the account before the $50 started being added which is $250.

800 = 50m + 250

50m = 800 - 250

m = (800 - 250) / 50

m = 11 months

Un objeto cae accidentalmente de un vehículo con una velocidad de

50 km / hy recorra 20 m antes de detenerse.

Calcular:

a) La aceleración:

b) El tiempo que tarda en detenerse:

Responder:

1.439 s

-9,645 m / s²

Explicación paso a paso:

Dado que:

Velocidad en m / s = (50 * 1000) / 3600 = 13.899 m / s

Distancia (d) = 20

Tiempo = distancia / velocidad

Tiempo = 20 / 13.889

Tiempo = 1.439 s

Aceleración (a):

Cambio de velocidad / tiempo empleado

= (0 - 13,889) / 1,439

- 13.889 / 1.439

= -9,645 m / s²

Answer:

It's been a while since I've done stuff like that but I think the y intercept is the flat fee and the slope is the amount added.

Answer:

Ich habe keine Ahnung, aber danke für die Punkte!

Step-by-step explanation:

Answer:

b = -152

Step-by-step explanation:

I hope this helps!

Answer: 267,306

Step-by-step explanation:

Answer:

the answer is W i think

Step-by-step explanation:

Step-by-step explanation:

That's what I got.

Hope that was helpful

Answer:

[tex]\boxed{x^4 + x^2 + x}[/tex]

Step-by-step explanation:

[tex]\frac{x^5 - x^4 + x^3 -x^2 + x - 1}{x - 1}[/tex]

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

[tex]= x^4 + x^2 + x[/tex]

.

Happy to help :)

Answer:

y = 5

x = 10

Step-by-step explanation:

-4(2y) + 11y

-8y + 11y = 15

3y = 15

/ 3 /3

y = 5

x = 10

Answer:x=0,5

Step-by-step explanation:

6x -1/2=1

6x-1=1.2

6x-1=2

6x=2+1

6x=3

x=3/6

x=0,5

Answer:

Step-by-step explanation:

-6x+5y=11

If x= -1 replace x with -1

-6(-1)+5y=11

6+5y=11  subtract 6 from both sides

5y=5  divide by 5

y=1

Answer:

Sub in the value, 6mutiplied by -1 is 6 so 6+5y=11. Subtract 6 from both sides. 5y=5

Y=1

X=-1

(-1,1)

Answer:

the answer is -2/5

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

[tex]slope = \frac{4 - 1}{8 - 0} = \frac{3}{8} \\ [/tex]

Answer:

0.375

Step-by-step explanation:

slope = Y2-Y1/X2-X1

slope = 4-1/8-0

slope = 3/8

slope = 0.375

Hope that helps!

Answer:

The equation to solve the problem is

306 = 249 + x

x = 306 - 249

Hence:

57 students went outside

Step-by-step explanation:

Let the number of students outside be represented by x

Hence:

Number of students in the cafeteria = Number of students inside - Number of students who went outside

We are told:

There were 306 students in the cafeteria. After some went outside, there were 249 students left in the cafeteria.

The equation to solve the problem is given as:

306 = 249 + x

x = 306 - 249

Hence:

x = 57

57 students went outside

Answer:

3y

Step-by-step explanation:

A term is a mathematical expression, in this case a number multiplied by a variable.

Like terms would mean anything that is equal to 3x.

Because 3 is a constant number, any like terms have to have the number 3 in it, so we can eliminate 5x, -2x, 7y, and x because they don't have a 3.

y is a variable which is a stand-in for an unknown number, and it can be switched out with any one variable. That means the only possible answer is 3y

Answer:

The equivalent equation solved for x is x = (y-b)/m

Step-by-step explanation:

Here is the complete question:

The slope-intercept form of a linear equation is y = mx + b, where x and y are coordinates of an ordered pair, m is the slope of the line, and b is where the line crosses the y-axis.

Which is an equivalent equation solved for x?

x = y-bmx = y-b over m

x= my + b

m=y−bxm is equal to the fraction with numerator y minus b and denominator x

x=y−bm

Step-by-step explanation:

To determine the equivalent equation solved for x, we will make x the subject of the formula.

From the given equation,

y = mx + b

To make x the subject of the equation,

First, add -b to both sides of the equation, so that we get

y +(-b) = mx +b +(-b)

Then, we will get

y-b = mx +b -b

y-b = mx

Finally, to make x the subject of the equation, we will divide both sides by the coefficient of x ( that is, m)

(y-b) / m = mx / m

Then,

(y-b)/m = x

∴ x = (y-b)/m

Hence, the equivalent equation solved for x is x = (y-b)/m.

The first option is correct

x = (y-b)/m = y-b over m

Given :

As a plane takes off it ascends at a 20 degree angle of elevation.

If the plane has been travelling at an average rate of 290 ft/s and continues to ascend at the same angle.

To Find :

How high is the plane after 10 seconds.

Solution :

Distance travelled by plane, D = 2900 ft.

Angle of elevation, Ф = 20°.

Height gained is given by :

[tex]H = Dsin\ \phi[/tex]

H = 2900 × sin 20°

H = 991.86 ft.

Therefore, height of plane after 10 seconds is 991.86 ft.

Hence, this is the required solution.

Answer:

a

  [tex]P(X = 2) =  0.2547[/tex]  

b

  [tex]P(X > 2) =  0.5623 [/tex]  

c

   [tex]P(2 \le X  \le 5 ) = 0.7817 [/tex]

Step-by-step explanation:

From the question we are told that

   The  proportion of US adults who say that they are likely to make purchase during a sale tax holiday is  

         [tex]p = 0.28[/tex]

  The  sample size is  n  =  10  

Generally the distribution of US adults who say that they are likely to make purchase during a sale tax holiday, follows a binomial distribution  

i.e  

         [tex]X  \~ \ \ \  B(n , p)[/tex]

and the probability distribution function for binomial  distribution is  

      [tex]P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}[/tex]

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the probability number of adult is exactly 2 is mathematically represented as

     [tex]P(X = 2) =  ^{10}C_2 *  (0.28)^2 *  (1- 0.28)^{10-2}[/tex]  

=>  [tex]P(X = 2) =  45 *  0.0784 * 0.0722[/tex]  

=>  [tex]P(X = 2) =  0.2547[/tex]  

Generally the probability number of adult is more than 2 is mathematically represented as

    [tex]P(X > 2) =  1- [P(X \le  2) ][/tex]  

    [tex]P(X > 2) =  1- [[P(X = 0)] +[P(X = 1) ] + [P(X = 2)] ][/tex]  

=>  [tex]P(X > 2) =  1- [^{10}C_0 *  (0.28)^0 *  (1- 0.28)^{10-0}] +[^{10}C_1 *  (0.28)^1 *  (1- 0.28)^{10-1}] + [^{10}C_2 *  0.28^2 *  (1- 0.28)^{10-2}] ][/tex]  

=>  [tex]P(X > 2) =  1- [0.0374 + 0.1456 + 0.2547 [/tex]  

=>  [tex]P(X > 2) =  0.5623 [/tex]  

Generally the probability number of adult is between two and​ five, inclusive is mathematically represented as

    [tex]P(2 \le X  \le 5 ) =  [P(X = 2 ) + P(X = 3 ) +P(X = 4) + P(X= 5 )] [/tex]

=>  [tex]P(2 \le X  \le 5 ) =  [[^{10}C_32 *  0.28^2 *  (1- 0.28)^{10-2}] + [^{10}C_3*  0.28^3 *  (1- 0.28)^{10-3}] +[^{10}C_4 *  0.28^4 *  (1- 0.82)^{10-4}] + [^{10}C_5 *  0.28^5 *  (1- 0.28)^{10-5}]] [/tex]

=>  [tex]P(2 \le X  \le 5 ) =  [[0.2547] + [120*  0.02195 *  0.1003] +[210 *  0.00615 *  0.1393] + [252 *  0.0017 *  0.1935]] [/tex]

=>  [tex]P(2 \le X  \le 5 ) =  [[0.2547] + [0.2642] +[0.1799] + [0.0829] [/tex]

=>  [tex]P(2 \le X  \le 5 ) = 0.7817 [/tex]

Answer:

107°

73°

Step-by-step explanation:

Let the two supplementary angles be x° and y°.

x + y = 180....(1)

Since, supplementary angles differ by 34.

Therefore,

x - y = 34....(2)

Adding equations (1) & (2)

x + y = 180

x - y = 34

_________

2x = 214

x = 214/2

x = 107°

Plug x = 107 in equation (1)

107 + y = 180

y = 180- 107

y = 73°

Answer:

Pls See the photo

Step-by-step explanation:

Hope u like it

Answer:

His son is 10 and his father is 30.

Step-by-step explanation:

Let the age of his son be x and his father's age be 3x.

5(x-5) = 3x-5

5x-25 = 3x-5

5x-3x = 25-5

2x = 20

x = 10

3x = 10 × 3

    = 30

Answer:Yes

Step-by-step explanation:

Carmela:3/4/3=1/4 per mile

Hari:1/2/2=1/4 per mile

Answer:

Step-by-step explanation:

Combined, it is option C.  {x | x < -4 or x > 4}

Answer:

8 chocolate cookies

Step-by-step explanation:

2+3 = 5

20/5=4

4x2

8

Answer:

Please check the explanation

Step-by-step explanation:

Given the sequence

[tex]3,-9,27,-81,...[/tex]

A geometric sequence has a constant ratio and is defined by

[tex]a_n=a_0\cdot r^{n-1}[/tex]

Computing the ratios of all the adjacent terms

[tex]r=\frac{a_n+1}{a_n}[/tex]

[tex]\frac{-9}{3}=-3,\:\quad \frac{27}{-9}=-3,\:\quad \frac{-81}{27}=-3[/tex]

The ratio of all the adjacent terms is the same and equal to

[tex]r=-3[/tex]

Therefore, the common ratio is:

Determining the sum of 1st five terms

As the first element is

[tex]a_1=3[/tex]

[tex]r=-3[/tex]

Geometric sequence sum formula is given by

[tex]a_1\frac{1-r^n}{1-r}[/tex]

Plugin the values

[tex]n=5,\:\spacea_1=3,\:\spacer=-3[/tex]

[tex]a_1\frac{1-r^n}{1-r}=3\cdot \:\frac{1-\left(-3\right)^5}{1-\left(-3\right)}[/tex]

            [tex]=3\cdot \frac{1-\left(-3\right)^5}{1+3}[/tex]

             [tex]=\frac{\left(1-\left(-3\right)^5\right)\cdot \:3}{1+3}[/tex]

             [tex]=\frac{732}{1+3}[/tex]       ∵

             [tex]=\frac{732}{4}[/tex]

              [tex]=183[/tex]

Therefore, the sum of the first five terms of the sequence is: 183        

Answer:

1, 2, 3, 6, 9, 18. Factors of 21: 1, 3, 7. The highest number that both sets contain is 3, so the GCF will be 3.

Step-by-step explanation:

The easiest way to do this is to start with the power of 5 that is just under 219.

125 would be the closest power of  5

Now subtract 125 from 219 = 94

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

The highest power of 5 closest to 94 is 25. You have to multiply 25 * 3 to get a number close enough to 94 that leaves a remainder under 25

94 - 75 = 19

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

19 - 3 * 5 = 4 Same argument as above.

219_10 = 1334_5

Answer:

$0.75

Step-by-step explanation:

To find the answer multiply the amount of money earned by the percentage $14.98 and 5%

turn the percentage into a decimal. divide the number of the percentage by 100 5/100=0.05

multiply this by the amount of money to get 0.05*14.98=0.749. then round answer to two decimal places to get $0.75

Answer:

$0.75

Step-by-step explanation: