MATHEMATICS MIDDLE SCHOOL

The values in the table represent a linear function. what is the common difference of the associated arithmetic sequence?x: 1, 2, ,3 ,4 ,5
y: 6, 22, 38, 54, 70.

A) 1
B) 20
C) 16
D) 5

Answers

Answer 1
Answer:

Answer:  The correct opion is

(C) 16.

Step-by-step explanation:  Given that the values in the following table represent a linear function.

x:       1,     2,    3,     4,    5

y:       6,    22,  38,  54,  70.  

We are to find the common difference of the associated arithmetic sequence.

If y = f(x) is the given function, then we see that

f(1) = 6,  f(2) = 22,  f(3) = 38,  f(4) = 54 and f(5) = 70.

So, the common difference of the associated arithmetic sequence is given by

f(2)-f(1)=22-6=16,\n\nf(3)-f(2)=38-22=16,\n\nf(4)-f(3)=54-38=16,\n\nf(5)-f(4)=70-54=16,~~~\cdots.

Thus, the required common difference of the associated arithmetic sequence is 16.

Option (C) is CORRECT.
Answer 2
Answer:

Answer:

c

Step-by-step explanation:

You can find that 22-6=38-22=54-38=70-54=16

so the answer is c 16

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For the graph shown, select the statement that best represents the given system of equations. 3y – x = 2 9y – 3x = 6Help Please Thank You

Answers

You can find that out by first putting two equations in slope-intercept form y=mx+b by solving for y.
3y - x = 2
3y = x+2
y = (1/3)x + 2/3

9y = 3x + 6
y = (3/9)x + 6/9
y = (1/3)x + 2/3

They are the same line as you can see in the final step.
Since the two lines are the same line, (they "coincide") they are coincident.
Coincident means there are an infinite number of solutions, and since they are the same line, there are an infinite number of solutions.

Which statements are true about the polynomial 4x3 – 6x2 + 8x – 12? Check all that apply.
1.The terms 4x3 and 8x have a common factor.
2.The terms 4x3 and – 6x2 have a common factor.
3.The polynomial is prime. The factored polynomial is (2x2 – 3)(2x + 4).
4. The polynomial can be grouped in different ways to factor by grouping.

Answers

1. correct- factor: 4

2. correct- factor: 4

3. Incorrect- The polynomial is not prime, and the factored polynomial is 4(2x-3)

4. Incorrect

Jon's weight loss for each week of the month is 4 lbs., 3.5 lbs. and 2 lbs. He gained 4.5 lbs. the last week. If Jon originally weighted 153 lbs., how much does he weigh now?

Answers

Answer:

148 lbs

Step-by-step explanation:

Given: Jon's weight loss for each week of the month is 4 lbs., 3.5 lbs. and 2 lbs. He gained 4.5 lbs. the last week.

To Find:  If Jon originally weighted 153 lbs., how much does he weigh now

Solution:

Jon's original weight =153\text{lbs}

Jon's weight loss in three successive weeks are = 4\text{lbs}

                                                                        = 3.5\text{lbs}

                                                                        = 2\text{lbs}

Total weight loss in three weeks is =4+3.5+2\text{lbs}

                                                          =9.5\text{lbs}

Jon's weight after three weeks =153-\text{weigth loss}

                                                    =153-9.5

                                                    143.5\text{lbs}

Gain in Jon's weight      = 4.5\text{lbs}

Jon's weight after 4 weeks =143.5+\text{weight gain}

                                             143.5+4.5

                                             148\text{lbs}

Jon weighs 148\text{lbs} now.

You have to add the weight he loss then subtract it from 153

Quadrilaterals find m

Answers

The value of angle B is 121degree and Angle C is 59 degree, and Angle D has the same measure as the angle B

What is quadrilateral?

It is defined as the four-sided polygon in geometry having four edges and four corners and twopairs of congruent sides. It has one pair of opposite congruent angles.

We have a quadrilateral in which angle B and angle D are given.

As we know the opposite angles in the quadrilateral are same in measure.

10x - 19 = 7x + 23

3x = 42

x = 14

Angle B =  10x - 19 = 10(14) - 19 = 121 degree

Angle C =  7x + 23 = 7(14) + 23 = 121 degree

Angle A + Angle C = 360 - 121 -121 = 118

Angle C = 118/2 = 59

Thus, the value of angle B is 121degree and Angle C is 59 degree, and Angle D has the same measure as the angle B

Learn more about the quadrilateral here:

brainly.com/question/6321910

#SPJ2

Answer:

Measure B= 121

Measure C=59

Step-by-step explanation:

10x-19=7x+23

3x=42

x=14

plug in x to the problem and you'll find Measure B is 121 so to find Measure C you'll have to subtract 180 and 121 to get 59.

SystemK,
Use the information provided in the table to
determine the ko for acetate ion, the conjugate
base of acetic acid.
1.8 x 10-19
5.6 x 10-10
28 x 10-9
1.8 1010
Acetic
acid/acetate ion
1.8 x 10-5

Answers

Answer:B

5.6x10 -10

Step-by-step explanation:

A rectangular prism has a volume of 1,200 cubic units. The area of the base is 80 square units.What is the height of the prism?
(Show work)

Answers

Answer:

v= whl

1200= h X 80

1200/ 80 = h

so the height is 15 unit

Step-by-step explanation:
ANSWER : 15 units

v = h * l * w OR v = h * a

a = l * w

1,200 = h * 80

1200/80 = 15 units
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