Translate the product of a counting number and the next highest counting number into an open sentence.

Answers

Answer 1
Answer: so lets say you have a number, x

to get to the next counting number, you add one so
x+1 is the next counting number

product means the result of multiplying os

(x)(x+1)=
distribute [a(b+c)=(ab)+(ac)]
(x^2)+(1x)=x^2+x

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Find the oth term of the arithmetic sequence 16, 21, 26, ...

Answers

Answer:

31

Step-by-step explanation:

16+5=21

21+5=26

26+5=31

What is the root of the polynomial equation x(x-2)(x+3)=18 ? Use a graphing calculator and a system of equations.–3
0
2

Answers

Answer:

3 is the root of the equation.

Step-by-step explanation:

We have to find the root of the polynomial equation x(x-2)(x+3)=18.

We can find the same by using a graphing utility and the system of equations.

We can make two equations which are given by

y=x(x-2)(x+3)....................(1)\n\ny=18

Now, we plot the graph of these equations and the x-coordinate of the intersection point will be the root of the equation.

the graph has been shown in the attached file.

The intersection point is (3, 18) and the x-coordinate is 3.

Therefore,  3 is the root of the equation.

It has four choses and you didn't show the right one, answer is 3.

3(3-2)(3+3)=18

3(1)(6)=18

3*6=18

X^2+6x+c=13+c what is c

Answers

I believe you factor it then solve using quadratic and get -3+ *Insert Square root* 22 and -3 - *Insert Square root* 22

Factor 2x^3-12x^2+16x

Answers

Answer:

2x ( x-4) (x-2)

Step-by-step explanation:

18 (m + 4/9) - 16 = 118

Answers

18 (m + 4/9) - 16 = 118 Get rid of the parentheses by multiplying 18 * M + 4/9

18M + 8 - 16 = 118 Subtract 8 - 16

18M - 8 = 118 Add 8 to both sides

18M = 118 + 8 Add 118 + 8

18M = 126 Divide 126/18

M = 7 
18(m+4/9)-16=118
18m+18*(4/9) -16 = 118 (i used distributive property)
18m+8 -16 = 118
18m-8 = 118
18m = 126 ( i added 8 to both sides)
m = 126/18
m = 7

The equation of line k is y=-1/5x -1/8. What is the equation of the line that is perpendicular to line k and passes through (0,0)?

Answers

y=-1/5 x-1/8
Gradient, m= -1/5
A line perpendicular will be;
m=15
y=mx+c
Replacing for x and y;
0=5(0)+c
c=0
y=5x