What is the justification for step 1 in the solution process? 15x − 8 = 14x + 13 Step 1: 15x = 14x + 21

Answer:

2k⋅(3k−7)⋅(k+4)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 ((6 • (k3)) +  (2•5k2)) -  56k

STEP

2

:

Equation at the end of step

2

:

 ((2•3k3) +  (2•5k2)) -  56k

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  6k3 + 10k2 - 56k  =   2k • (3k2 + 5k - 28)

Trying to factor by splitting the middle term

4.2     Factoring  3k2 + 5k - 28

The first term is,  3k2  its coefficient is  3 .

The middle term is,  +5k  its coefficient is  5 .

The last term, "the constant", is  -28

Step-1 : Multiply the coefficient of the first term by the constant   3 • -28 = -84

Step-2 : Find two factors of  -84  whose sum equals the coefficient of the middle term, which is   5 .

     -84    +    1    =    -83

     -42    +    2    =    -40

     -28    +    3    =    -25

     -21    +    4    =    -17

     -14    +    6    =    -8

     -12    +    7    =    -5

     -7    +    12    =    5    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  12

                    3k2 - 7k + 12k - 28

Step-4 : Add up the first 2 terms, pulling out like factors :

                   k • (3k-7)

             Add up the last 2 terms, pulling out common factors :

                   4 • (3k-7)

Step-5 : Add up the four terms of step 4 :

                   (k+4)  •  (3k-7)

            Which is the desired factorization

Final result :

 2k • (3k - 7) • (k + 4)

Answer:

4

Step-by-step explanation:

Answer:

It's either 4 or fish

LM(face)OOO

Answer:

B

Step-by-step explanation:

Answer:

The answer is d.60 degrees

Step-by-step explanation:

When you add up all the angles in a triangle, you get the sum of 180°.

Since this is an equilateral triangle, all of the angles will be 60° because 180/3=60

Answer: -11s & -14t

Step-by-step explanation:

Answer:

-11s - 14t

Step-by-step explanation:

-6s - 11t - 5s - 3t

= -11s - 14t

Answer:

didg

Step-by-step explanation:

its -6

Answer:

This question is already solve in x,

No need to solve more, sir/maam

Is this the question,

Answer:

y= -1/2x+5

Step-by-step explanation:

u just have to use the y=mx+b form and youll be good

Given:

Y-intercept of exponential function is 8.

It contains the point (3,64).

To find:

The exponential function that describes the graph.

Solution:

The general form of an exponential function is

[tex]y=ab^x[/tex]      ...(i)

where, a is initial value or y-intercept and b is growth factor.

Since, y-intercept is 8, therefore, a=8.

Put a=8 in (i).

[tex]y=8b^x[/tex]         ...(ii)

It contains the point (3,64). Put x=3 and y=64.

[tex]64=8b^3[/tex]

Divide both sides by 8.

[tex]\dfrac{64}{8}=b^3[/tex]

[tex]8=b^3[/tex]

[tex]2^3=b^3[/tex]

On comparing both sides, we get

[tex]b=2[/tex]

Put b=2 in (ii).

[tex]y=8(2)^x[/tex]

The functions form of this equation is

[tex]f(x)=8(2)^x[/tex]

Therefore, the required function is [tex]f(x)=8(2)^x[/tex].

Answer: Do you have a picture

Step-by-step explanation:

Answer:

A relation between two sets is a collection of ordered pairs containing one object from each set.

Answer:

QR

Step-by-step explanation:

Answer:

Domain

Step-by-step explanation:

The set of input values is called the domain of the function.

Hope I helped! Please mark Brainliest!

Answer: the domain is the set of inputs for a function

so domain.

Answer:

WX = 24

Step-by-step explanation:

Centroid of a triangle divides the medians of the triangle in the ratio 2 : 1

Therefore,

WM/ MX = 2/1

16/MX = 2/1

2MX = 16

MX = 16/2

MX = 8

WX = WM + MX

WX = 16 + 8

WX = 24

The value of the side WX  is equal to 24. The correct option is B.

The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together.

A line connecting a side's midpoint and the triangle's opposite vertex is called the median. Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

The centroid of a triangle divides the medians of the triangle in the ratio of 2: 1.

Here, the ratio of the two sides will be given as:-

WM/ MX = 2/1

Calculate the value of MX to get the value of WX.

16/MX = 2/1

2MX = 16

MX = 16/2

MX = 8

The value of WX will be:-

WX = WM + MX

WX = 16 + 8

WX = 24

Therefore, the value of the side WX  is equal to 24.

To know more about triangles follow

https://brainly.com/question/7644338

#SPJ5

Answer:

y=x+4

Step-by-step explanation:

HTH :)

Answer:

y = x +4

Step-by-step explanation:

You know the y intecept because its on the y axis, and slop is rise over run

Answer:

1/4

Step-by-step explanation:

y2-y1/x2-x1

6-5/ 0 - -4.... since it's two subtract signs facing each other you turn it into a +..... 1 /4

Answer:

1/4

Step-by-step explanation:

y2-y1/x2-x1

6-5/ 0 - -4.... since it's two subtract signs facing each other you turn it into a +..... 1 /4

Answer:

Step-by-step explanation:

Question 17

y-y1 = m (x-x1 )

so basically you plug in the (x,y) to y1 and x1 place

Remeber always times it by -1

so answer would be

y-2 = -1/3 (x+4)

Question 18

Pretend its 3x+2y =8

you need to find x or y first im going to find y first

so

- 2y = -3x +8

divide by 2 to isolate y

y = -3/2x - 4

plug it back into the equation

3x + 2(-3/2x) - 4

the x will cancel

so y= -4

Then

plug in the -4 in place of y

SO the Answer is YES because y is horizontal there is -4 = there will be (-3, -4)!

Answer:

I believe it d I'm sorry if it wrong but if I'm right mark brainlyest please

Answer:

7f

Step-by-step explanation:

Just add them all together keeping the f on

Then subtract keeping the f on

Answer:

7f

Step-by-step explanation:

To simplify you will need to do it the same way as in adding natural numbers the variable doesn't change the number

So it's going to be;

9f+10f-12f

(Nine plus Ten is equal to 19)

•The variable remains the same

19f-12f

•So you subtract 12 from 19 which is going to be;

7f

Answer:

[tex]A\approx1608.7\text{ yards}^2[/tex]

Step-by-step explanation:

We can use the alternate formula for the area of a triangle:

[tex]A=\frac{1}{2}ab\sin(C)[/tex]

Where a and b are the side lengths, and C is the angle between the side lengths.

We know that one side length is 60 and the other is 70.

The angle between them is 50°.

So, substitute 60 for a, 70 for b, and 50° for C. This yields:

[tex]A=\frac{1}{2}(60)(70)\sin(50)[/tex]

Evaluate using a calculator. Make sure you’re in Degrees Mode.

Therefore, the approximate area is:

[tex]A\approx1608.7\text{ yards}^2[/tex]

Answer:

-26

Step-by-step explanation:

I hope this helps!

Answer:

The probability that Kyle will pick a girl who likes football is 12.5%.

Step-by-step explanation:

The data provided is as follows:

                         Boys        Girls       Total

Basketball          10             8             18

 Football           25             7             32

  Soccer             9             19             28

 Baseball           18            22            40

   Total               62           56            118

Compute the probability that Kyle will pick a girl who likes football as follows:

[tex]P(F|G)=\frac{n(G\cap F)}{n(G)}[/tex]

            [tex]=\frac{7}{56}\\\\=0.125\\\\=12.5\%[/tex]

Thus, the probability that Kyle will pick a girl who likes football is 12.5%.

Answer:

length 28, width 22

Step-by-step explanation:

28 - 22 = 6, 28 x 22 = 616

Answer:

(1, 4 )

Step-by-step explanation:

Given the 2 equations

y = x + 3 → (1)

y = 4x → (2)

Substitute y = 4x into (1)

4x = x + 3 ( subtract x from both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into either of the 2 equations and evaluate for y

Substituting into (2)

y = 4x = 4 × 1 = 4

Solution is (1, 4 )

Answer:

Neither.

Step-by-step explanation:

The slope for the first one is 1/4 and the slope for the second one is 4. These are reciprocals, but not opposite reciprocals, meaning they are not perpendicular. An opposite reciprocal means the fraction is flipped (ex. 3/1 to 1/3) and the sign is changed. The line parallel to y=1/4x would be y= -4x.

Answer:

Neither

Step-by-step explanation:

Answer:

y=45x+25

y = total cost and x = number of months.

Answer:

41.6666666667m ( round to nearest whole number if you need to) -> 42m

Step-by-step explanation:

To find the volume

You multiply the length, width, and height. ( V= LxWxH)

So, divide 125 by 3 and you get 41.6666666667.

To check your answer: 41.6666666667 times 3 and you get 125.

I HOPE THIS HELPS YOU!!  :)

Answer:

B

Step-by-step explanation:

Equation for a line is y = mx + b where m is the slope and b is the y intercept.

First, we see that the y intercept is 60.

Second, we see that for every 10 units y decreases, x increases by 5. This gives us a slope of -2 because (-10/5)=-2

If we plug our values into the equation of a line we get

y=-2x+60

Answer:

109 degrees is the answer

Step-by-step explanation:

m<a+m<b+m<c=180 degrees

x+48+23=71

180-21=109 degrees for x.

Answer:

109

Step-by-step explanation:

So you do 48+23 which is 71 and then you do 180-71 which equals 109.