what is the equation shown on this graph?​

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:

The angle of CAD is 100°.

Step-by-step explanation:

Given that total angles in a triangle is 180° so you will have to find the angle of CAB :

∠CAB + ∠ACB + ∠ABC = 180°

∠CAB + 80° + 20° = 180°

∠CAB + 100° = 180°

∠CAB = 180° - 100°

∠CAB = 80°

Next, you have to subtract it from 180° because straight line have a degree of 180°

∠CAD = 180° - 80°

∠CAD = 100°

Answer:

Name: alternate exterior angles

Relationship: they are congruent. (15x + 5)° = (14x + 11)

Value of x: 6

Missing angle measures: 95°

Answer:

cool

Step-by-step explanation:

is this a question?

Answer:

The interest earned in 9 months is $25.45284

Step-by-step explanation:

The interest rate given by the bank = 4%

The rate at which the interest is applied = Quarterly

The amount of money deposited = $840

The formula for compound interest is given as follows;

[tex]Compound \ interest = P \times \left [ \left(1 + \dfrac{r}{n} \right )^{t \times n} - 1\right ][/tex]

Where;

P = The principal = $840

r = The rate = 4% = 0.04

n = The number of times the interest is compounded per period  = quarterly = 4

t = The time duration in period = 9 months = 3/4 × 1 year

Substituting the values gives the Compound interest C.I. as follows;

[tex]C.I. = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{\dfrac{3}{4} \times 3} - 1\right ] = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{ 3} - 1\right ] = \$ 25.45284[/tex]

The interest earned in 9 months = $25.45284.

Answer:

i think yes the order pair of (8,48) satisfy the direct equation y=6x

Step-by-step explanation:

Answer: Please provide statements.

Step-by-step explanation:

Answer:

The maximum is (-1, 6).

The line of symmetry is x = -1.

Step-by-step explanation:

those two

Answer:

When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.

Step-by-step explanation:

i did it

Answer: [tex]-4 * (n+3) \geq 28[/tex]

Step-by-step explanation:

Negative four -> [tex]-4[/tex]

Times the sum of a number and 3 -> [tex]-4 * (n + 3)[/tex]

Is at least 28 -> [tex]-4 * (n+3) \geq 28[/tex]

Answer:

c

Step-by-step explanation:

10+12=22

=22^2

=484

Answer:

I believe the answer is C or D.

Step-by-step explanation:

Answer:

1. false

2.true

3.false

4. true

Step-by-step explanation:

Answer:

C)  y = 10/3x - 5

Step-by-step explanation:

Slope intercept equation is y = mx + b:

    m is the slope

    b is y-intercept

When you read slope you can also read it as rise over run. Rise is move up or down on the y axis depending if number is negative or positive. Run is move left or right on x axis depending if number is negative or positive.

Example: y = [tex]\frac{10}{3} x - 5[/tex]

Start at the y-intercept which is -5. On graph you can see the line crosses the y axis at (0, -5). From this point rise 10 then run 3 you'll end up at point (3, 5). Connect the dots of the two points and you'll see a line like the one in the problem.

Answer:

It's the bottom one.

Step-by-step explanation:

number one makes no snese because inside of you there is no light

number two, heat and thermal are the same thing

number three, there isn't really potential energy inside you, not in the process of the energy transformation of food.

The bottom one makes the most sense because if you think about all of the steps, it goes chemical (stomach acid), there is also some heat in there, and then mechanical when the food moves from place to place

Answer:

The answer is D

Step-by-step explanation:

Answer: -1/2 and 1/3

Step-by-step explanation:

Answer: 12 red 9 blue

Step-by-step explanation:

Answer:

(x, y, z) = (2, -1, 3)

Step-by-step explanation:

I solved it using the elimination method

Answer:

18

Step-by-step explanation:

Answer:

What is the question from both?

Answer:

(4,2) for the first one

(2,-1) for the second one

to get the answers I got, equate Both

Answer: The length of JF = 16 units.

Step-by-step explanation:

Given: In triangle DEF, segment DJ is a perpendicular bisector of side EF.

i.e. DJ is perpendicular to EF and DJ divides EF into two equal parts EJ and JF. [The perpendicular bisector is a line that is perpendicular to a line segment and splits it into two congruent segments.]

If  EJ is 3y-8 and JF is 7y-40.

Then, [tex]3y-8=7y-40[/tex]

[tex]\Rightarrow\ 7y-3y=40-8\\\\\Rightarrow\ 4y=32\\\\\Rightarrow\ y=8 \text{ [Divide both sides by 4]}[/tex]

JF= 7(8)-40 =56-40= 16 units

Hence, the length of JF = 16 units.

Answer:

plz giv brainlist

Step-by-step explanation:

Answer:

Its B.

Step-by-step explanation:

Emath.com- Parabola calculator

Answer:

There are 30 questions

Step-by-step explanation:

70%=21

70%÷7=10%

21÷7=3

10%=3

10%×10=100%

3×10=30

Hope this helped :)

Answer:

1.5

Step-by-step explanation:

Lmk if i need to explain!

Let the width of the rectangle be 'w'

According to the question length of the rectangle (l) is three feet more than twice it's width;

[tex] \longrightarrow [/tex] l = (2w + 3) ft

Perimeter of rectangle = 78 ft

Formula of perimeter of rectangle = 2(Length + Width)

So,

[tex] \rm \implies 2(Length + Width) = 78 \\ \\ \rm \implies 2(2w + 3 + w) = 78 \\ \\ \rm \implies 2(3w + 3) = 78 \\ \\ \rm \implies 2 \times 3(w + 1) = 78 \\ \\ \rm \implies 6(w + 1) = 78 \\ \\ \rm \implies w + 1 = \dfrac{78}{6} \\ \\ \rm \implies w + 1 = 13 \\ \\ \rm \implies w = 13 - 1 \\ \\ \rm \implies w = 12 \: ft[/tex]

[tex] \therefore [/tex] Width of the rectangle (w) = 12 ft

Answer:

C. 2 and 5

Step-by-step explanation:

Step-by-step explanation:

(X+3)(2x_9)

3x+12_12=90_12

3x=90_12

3x=78

X=26°

Answer:

It would be r= 0.9974.

The closer the r value is to 1 or -1 the stronger it is.

Positive and negative are just determining what "side" its on.

Let me know if this helps!