Can somebody explain how to do this quickly. Already know how to solve it but it takes me a long time

Answer:

(x + 6)(x + 13)

Step-by-step explanation:

Given

x² + 19x + 78

Consider the factors of the constant term (+ 78) whuch sum to give the coefficient of the x- term (+ 19)

The factors are + 6 and + 13 , since

6 ×13 = + 78 and 6 + 13 = + 19 , then

x² + 19x + 78 = (x + 6)(x + 13) ← in factored form

[tex]\bold{ x^2+19x+78 }[/tex]

[tex]\bold{ x^2+13x+6x+78 }[/tex]

[tex]\bold{ x(x+13)+6(x+13) }[/tex]

[tex]\bold{(x+6)(x+13) }[/tex]

Answer:

Step-by-step explanation:

Determine the number of solutions for each of the equations below. Be sure to

justify your conclusions. *

(z – 8)2 = -1

A. one solution

B. infinitely many solutions

C.no solution

D. x = 9

Given the expression;

(z – 8)^2 = -1

we are to find the nature of the solution;

Take the square root of both sides

(z – 8)^2 = -1

√(z – 8)^2 = √-1

z- 8 = √-1

Note that √-1 will give a complex number i to have;

z = 8 ± i

This therefore shows that the equation has no real solution.

Answer:

x = - 1

Step-by-step explanation:

Given

- 5x - 16 = 9x + x - 1, that is

- 5x - 16 = 10x - 1 ( subtract 10x from both sides )

- 15x - 16 = - 1 ( add 16 to both sides )

- 15x = 15 ( divide both sides by - 15 )

x = - 1

Answer:

y= -9

Step-by-step explanation:

Answer:

y = -9

Step-by-step explanation:

Algebra:

3y + 11 = -16

-11 -11

3y = -27

÷ 3 ÷ 3

y = -9

Answer:

Question 2: √x

Question 5: B and D

Step-by-step explanation:

If you move a factor from the denominator to the numberator (or vice versa) its exponent must flip sign.

I.e., [tex]\frac{1}{x^{-1}}[/tex] will become [tex]\frac{x^1}{1}}[/tex] which is x

Multiplying the same number x you must add the exponents. (1/3)+(1/3)+(1/3) is 1, so D is also x¹.

Therefore B and D are equivalent.

Answer:

The answer is 79.5

Step-by-step explanation:

Answer:

i cant really see but i think it is b

Step-by-step explanation:

Step-by-step explanation:

Angle EGF = 0.5(180° - 50°) = 65°.

Angle CGF = 180° - Angle EGF = 115°.

Answer:

y = sqrt x-2

or c on edge

Step-by-step explanation:

Answer:

I got x = 0

Step-by-step explanation:

y = (47/2)x Substitute y =0

0 = (47/2) x Multiply both side

0 = x Swap the sides

x = 0

Answer:

It costs 19 cents or 0.19 dollars per fluid ounce.

Step-by-step explanation:

4.75 divided by 25 is 0.19. 0.19 is 19 cents.

Answer:

19

Step-by-step explanation:

Step-by-step explanation:

For the left end of the function, it moves up towards positive infinity.

For the right end of the function, it movea down towarda negative infinity.

Therefore as x approaches -infinity, y approaches +infinity and as x approaches +infinity, y approaches negative infinity. (2nd option)

Answer:

128 deg

Step-by-step explanation:

The sum of the measures of the angles of a polygon of n sides is

(n - 2)180

A trapezium has 4 sides, so the sum of the measures of the angles is

(4 - 2)180 = 2(180) = 360

m<CBE + m<C + m<D + m<DEB = 360

Angles ABC and CBE are a linear pair so the sum of their measures is 180 deg.

m<ABC + m<CBE = 180

115 + m<CBE = 180

m<CBE = 65

m<C = x

m<D = 90

Angles DEB and DEF are a linear pair so the sum of their measures is 180 deg.

m<DEB + m<DEF = 180

m<DEB + m<103 = 180

m<DEB = 77

m<CBE + m<C + m<D + m<DEB = 360

65 + x + 90 + 77 = 360

x + 232 = 360

x = 128

Answer: 128 deg

so we will get a lot of teiangles here.

90°+x+CED=180°

also CED+DEF=180°(half circle, 360/2)

CED+103°=180°

CED=180-103=77°

77°+90°+X/2=180°

x/2=180-167=13°

Complete Question

In order to test the null hypothesis of equal means (alternative hypothesis says they are unequal), two simple random samples are obtained.In sample 1, the mean and standard deviation are 10 and 6 respectively.In sample 2, the mean and standard deviation are 16 and 4 respectively.Each sample is of size 6.The data are normally distributed.The true standard deviations of the two populations may be assumed to be equal.What can you say about the P-value for the test of equal means? -->

It must be that the resulting P-value must be

A) Greater than 0.2

B) Between 0.19 and 0.10

C) Between 0.09 and .05

D) Between .049 and .02

E) Less than 0.02

Answer:

The correct option is B

Step-by-step explanation:

From the question we are told that

   The mean of sample 1 is  [tex]\= x_1 = 10[/tex]

   The standard deviation is  [tex]s_1 = 6[/tex]

   The mean of sample two is  [tex]\= x_2 = 16[/tex]

   The standard deviation is  [tex]s_2= 4[/tex]

   The sample size for both samples is  [tex]n_1 = n_2 = n = 6[/tex]

  The null hypothesis is  [tex]H_o : \mu_1 = \mu_2[/tex]

  The alternative hypothesis is  [tex]H_a : \mu_1 \ne \mu_2[/tex]

Generally the test statistics is mathematically represented as

          [tex]z = \frac{ \= x_1 - \= x_2 }{ \sqrt{ \frac{s^2_1}{n_1} +\frac{s^2_1}{n_2} } }[/tex]

=>       [tex]z = \frac{ 10 - 16 }{ \sqrt{ \frac{6^2}{6} +\frac{4^2}{6} } }[/tex]

=>       [tex]z = -1.3646[/tex]

From the z table  the area under the normal curve to the left corresponding to  -1.3646   is

    [tex]P(Z < -1.3646) = 0.086189[/tex]

Generally the p-value is mathematically represented as

     [tex]p-value = 2 P(Z < -1.3646)[/tex]

=>  [tex]p-value = 0.086189 * 2[/tex]

=>  [tex]p-value = 0.1724[/tex]

So the p-value is  Between 0.19 and 0.10

Answer:

0.0649350649350649

Step-by-step explanation:

Answer: 0.06493506493

Step-by-step explanation:

Answer:

We have two 6-sided dice.

Each one of them has 6 possible outcomes.

The total number of outcomes for the pair, will be equal to the product between the numbers of outcomes for each one of them

Then the total number of outcomes is:

C = 6*6 = 36.

The number of outcomes where the sum of the dice are 7 are:

1 and 6

6 and 1

2 and 5

5 and 2

3 and 4

4 and 3

So we have 6 outcomes where the sum of both numbers is equal to 7.

The probability of rolling a pair such that the sum is equal to 7, is equal to the quotient between the number of outcomes that meet this condition (6) and the total number of outcomes (36)

The probability is:

P = 6/36 = 1/6

Now let's do the same for 11.

The outcomes where the sum is 11 are:

5 and 6

6 and 5

So we have two outcomes.

In this case, the probability will be:

P = 2/36 = 1/18

Answer:

A. 28

Step-by-step explanation:

x = 28

Value of x in the rhombus is  [tex]28^{0}[/tex].

A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square.

According to the question

DB, CA are diagonal line

So, <CAB + <DBA = [tex]90^{0}[/tex]

⇒ x + 6 + 2x =   [tex]90^{0}[/tex]

⇒ 3x = 90 - 6

⇒ 3x = 84

⇒ x = [tex]\frac{84}{3}[/tex]

⇒ x = [tex]28^{0}[/tex]

Hence, value of x in the rhombus is  [tex]28^{0}[/tex].

Find out more information about rhombus is [tex]28^{0}[/tex].

https://brainly.com/question/27870968

#SPJ3

Step-by-step explanation:

For every 3 squares across, the line drops by 1 square.

Therefore the slope of the lina is -1/3.

The y-intercept of the line is -8 (when x = 0)

The equation of the line is y = -1/3 x - 8.

Answer:

Step-by-step explanation:

abc=80, abm= 100

acb= 40, acn= 140

angle a = 60

x=80, y=40

Answer:

x = 80° y = 40°

Step-by-step explanation:

ABC = 80°  ACB = 40°

ABC+ACB+A = 180° (sum of angles in a triangle = 180°)

80+40+A = 180°

A = 60°  (sum of angles in a triangle = 180°)

X = 80° (ALTERNATE ANGLES, angles x is alternate to angle ABC = 80° )

y = 40°  (alternate angles, angle y is alternate to angle ACB = 40°)

to cross-check : sum of angles on a straight line = 180°  

x+ y + A = 180sum of angles on a straight line = 180°

80+40+60 = 180°

ABM = 100°  = (sum of angles on a straight line = 180°)

80° + 100°  = 180°

ACN = 140° (sum of angles on a straight line = 180°)

40° + 140° = 180°

Answer:

the amount of calories depends on the minutes of exercise so c is the dependent variable and m is the independent variable

Proportional equations are of the form y = kx, for some fixed constant k. The k value is the constant of proportionality.

The +100 at the end is why we don't have a proportional equation.

Visually all proportional equations go through the origin, meaning the lines have y intercept of 0. For y = 230x+100, the y intercept is 100.

Answer:

35x + 60y = 690

Why:

We need to correct number to represent X (which is 35) and Y (which is 60).

And 35x + 60y = 690, 690 being the total, fits what we need to answer.

All of the other options display an incorrect number for the X and Y values.

Answer:

35x + 60y = 690

Step-by-step explanation:

Answer:

Aaron rolled a fair six-sided number cube, numbered 1 through 6 is explained below in details.

Step-by-step explanation:

a. FALSE

Trial possibility of rolling a 6 =1/20 = 0.05

Logical possibility of rolling a 6 = 1/6 = 0.17(approximately.)

So the trial possibility of rolling a 6 is not equal to the logical possibility of rolling a 6.

b. FALSE

Trial possibility of rolling an even number = Trial possibility of rolling number 2,4 or 6 = 4/20+2/20+1/20= 7/20 = 0.35

Logical possibility of rolling an even number = 3/6 = 1/2=0.5

Therefore the Test possibility of rolling an even number is shorter than the logical possibility of the same.

c. TRUE

Trial possibility of rolling a 1= 6/20= 0.3

Logical possibility of rolling a 1= 1/6 = 0.17 (approx.)

So the Trial possibility of rolling a 1 is greater than the logical possibility of rolling a 1.

d. FALSE.

Trial possibility of rolling a 4= 2/20= 0.1

Logical possibility of rolling a 4 = 1/6 = 0.17 (approx.)

So the Trial possibility of rolling a 4 is less than the logical possibility of rolling a 4.

Answer: y = 0.5x - 4

Step-by-step explanation:

Answer:

y=8

Step-by-step explanation:

In functions, you should know that f(x)=y. In this problem, y is replaced by 4(0.5)^-1. So all you need to do is solve what 4(0.5)^-1 is, which is 8. This means that f(x)=8, but y is also equal to f(x). The answer is then y=8.

Hope you understand and that this helps with your question! :)

Answer: I’ll try my best, I believe the ansr is B

Step-by-step explanation:

IF THIS ISNT RIGHT IM SO VERY SRRY!

Answer:

The answer is either C or B. I really tried my best and I hope you get it right! :)

Have a nice day!  :) :)

Answer:

9(4a+1)=

10(4+5d)=

7(4-f)=

Step-By-Step Solution:

The greatest common factor is the largest number that both numbers can be divided by. For example, in #1, 36 and 9 can both be divided by 9 to become 4 and 1.

Answer:

The score on the remaining test is x = 61

Hence, option D is correct.      

Step-by-step explanation:

Let 'x' be the score of the remaining test

The average score of Nadine's six tests = 77

so

Average score = (88+65+75+83+90+x) / 6

substituting average score = 77 in the equation to find 'x'

                  77   = (401 + x) / 6

              401 + x = 77 × 6

                        x = 462 - 401

                        x = 61

Therefore, the score on the remaining test is x = 61

Hence, option D is correct.                              

Answer:

B. 9+b

Step-by-step explanation:

if b represents the number of buttons more than 9, then you just have to add 9 to that and you get your equation.

This explanation made better sense in my head...