For each given sequence: write down term to term rule and position to term rules 2,5,8,11,14

Step-by-step explanation:

A linear equation in two variables can be described as a linear relationship between x and y, that is, two variables in which the value of one of them (usually y) depends on the value of the other one (usually x). In this case, x is the independent variable, and y depends on it, so y is called the dependent variable

Answer: [tex]3\times \dfrac{P}{3}=P[/tex]

Step-by-step explanation:

Given

The perimeter of one equilateral triangle is P

The lengths of the equilateral triangle are equal

Suppose x is the length of each side

[tex]\therefore 3\times x=P\\\\\Rightarrow x=\dfrac{P}{3}[/tex]

i.e.

[tex]\Rightarrow 3\times \dfrac{P}{3}=P[/tex]

Answer:

Hello! answer: 45 and 45 is a complementary angle and 60 and 30 is a complementary angle

Step-by-step explanation:

Complementary angles are just angles that add up to 90 degrees so... 45 + 45 = 90 60 + 30 = 90 so that is how those are complementary angles.

Hope that helps!

Answer:

angle QRT/angle VRT  and angle SRW/angle WRV

Step-by-step explanation:

QRT and VRT: Both angles are 45 degrees, adding those degrees together gets you 90 degree angles meaning that they are complementary.

SRW and WRV: 60 plus 30 is equal to 90 making them complementary angles as right angles are 90 degrees

Answer:

B.) -9

Step-by-step explanation:

The value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9

The standard equation of a function in vertex form is given as:

f(x) = (a + x)^2 + h

Given the function f(x)=3x^2+bx+4 with an axis of symmetry of 3/2, the vertex is expressed as:

3/2= -b/2a

-b/2(3)=3/2

-b/6=3/2

Cross multiply

-2b = 18

-b=9

Hence the value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9

Learn more on axis of symmetry here: https://brainly.com/question/21191648

Answer:

$0.42

Step-by-step explanation:

Given data

Dimension

Length=4m

Width=2m

Cost=  $1.75

Area= 4*2= 8m^2

Cost per area=1.75/8

Cost per area=$0.21 per m^2

The new poster's dimension

Lenght =2m

Width= 1m

Area= 2*1= 2m^2

Hence if a square meter cost $0.21

Then 2 square meter  will cost x

cross multiply

2*0.21=x

x=$0.42

Hence the new poster will cost $0.42

Answer:

[tex]\frac{14}{30} = 7/15[/tex]

The probability that a randomly selected student has a brother given they have a sister is 11/30.

We have given that,

Of 30 students in a class, 17 have a brother, 20 have a sister, and 11 have a brother and a sister.

The Probability of an event is the ratio of the number of favorable events divided by the total number of outcome in the sample space.

Since there are 30 students in total, and 11 of them have both a brother and a sister,

Then 11/30 (11 out of the 30 students) would be the probability of a student having a brother given that they have a sister.

To learn more about the probability visit:

https://brainly.com/question/24756209

#SPJ2

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes

Step-by-step explanation:

2y=a

y=a/2

putting value of y

y=3x+12

Step-by-step explanation:

a) Let y = f(x) = 3x - 2x^2

f(-2) = 3(-2) - 2(-2)^2 = p

= -6 - 8

= -14

= p

f(2.5) = 3(2.5) - 2(2.5)^2 = q

= 7.5 - 12.5

= -5

= q

b) graphing

c) From the graph, you should be able to verify the following:

i) f(0.5) = 3(0.5) - 2(0.5)^2 = 1

ii) 0.5 = 3x - 2x^2 or x = 1.3, 0.2

iii) the maximum occurs at

f(0.75) = 1.125

d) the equation for the line of symmetry is x = 0.75

Answer:

Triangle A and B

Step-by-step explanation:

Both triangles have two same angles.

If Triangle A is rotated like Triangle B, they would be the same.

Vice versa, if Triangle B is rotated like Triangle A, it would be the same.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Length will be 173

Step-by-step explanation:

Answer: 17

Step-by-step explanation:

Answer:

B) 17

Step-by-step explanation:

Prime numbers are numbers that are not products of two smaller natural numbers. Everything except 17 is not prime cuz they can be derived from multiplying other numbers but 17 cannot be.

Answer:

The answer is C.

Step-by-step explanation:

Had this on a quiz.

Answer:You can do this two ways:  Either use the slope intercept form

y = mx + b   with slope m=-2 so y = -2x +b

From that use x=5, y = -3 to solve for b

-3 = -2(5) + b

-3 = -10 + b

10-3 = b

7 = b

Your equation is:  y = -2x + 7

OR

Use the point slope formula:  y - y1 = m(x-x1)

with m = -2,  (x1, y1) = (5,-3)

y-(-3) = -2(x-5)

y + 3 = -2x + 10

y = -2x + 10 - 3

y = -2x + 7

Step-by-step explanation:

Answer:

the answer is 456,976,000

Answer:

⬇️ i got it right

Answer:

2

Step-by-step explanation:

Answer:

10 ft

Step-by-step explanation:

The length of the slide can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

6² + 8² =

36 + 64 = 100

c = √100

c = 10

Answer:

z will be11

11z = 121

z = 121/11

z= 11

Answer:

1=121= 11

Step-by-step explanation:

Answer:

Bag B which is $150 for one orange

Step-by-step explanation:

In ,bag A 12 oranges cost 2400

The price of one orange in bag A is

= 2400/12

= $200

In bag B 20 oranges cost $3000

The cost of one orange in bag B is

= 3000/20

= $150

Hence the better buy is bag B which goes for $150 for one orange

Using the order of the letters in the triangles find the corresponding sides:

BL is similar to JF

LT is similar to KF

BT is similar to JK

Find the scale between LT and KF

9/12 = 3/4

The smaller triangle is 3/4 the size of the lager one.

This means BT = 3/4(JK) = 3/4(4) = 3

So x = 3, so side BL = 2x = 2(3) = 6

Now to solve for y:

BL is 3/4(JF)

6 = 3/4(y)

Solve for y by dividing both sides by 3/4

Y = 6/(3/4)

Y = 8

X = 3, y = 8

Answer:

y = -5x + 3.

Step-by-step explanation:

We can find the point of intersection by solving the system:

y = 2x + 3  ....  1

x + y = 3   ......  2          from this:

y = 3 - x   ....... .3

Equating equations 1 and 3:

2x + 3 = 3 - x

3x = 0

x = 0 so y = 2(0) + 3 = 3.

So the point of intersection is (0, 3).

So the required equation has slope -5 and passes through (0, 3) and,  using the point-slope form of a straight line, we have:

y - 3 = -5(x - 0)

y - 3 = -5x

y = -5x + 3.

Answer:

y = -2/3x - 5

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

.....................

Answer:

20%

Step-by-step explanation:

21/ 105

= 0.2 x 100

20%

Answer:

simple - 1/21 chance

Step-by-step explanation:

since its asking for the probability of "a" marble, and not all the green marbles, you add everything up and slap what outcome (1 in this case) on top of the 21

here is cat

Answer:

3 is for green marbles

21 is the total of all marbles

Step-by-step explanation:

you only have 1 event so I think we don't need some formula or something

the formula is this if the event A and B has no intersection P( A U B)= P(A)+P(B)

and if it has intersection, the formula is like this P( A ∩ B)=P(A)+P(B)-P( A ∩ B)

Answer:123

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

0.315 times

Step-by-step explanation:

156÷495 ≈ 0.315

Have a good day :)

Answer:

x = 20

y = 30

Step-by-step explanation:

Answer:

x = 20

y = 30

Step-by-step explanation:

y = 3x - 30

2x + 2y = 100

2x + 2(3x - 30) = 100

2x + 6x - 60 = 100

8x - 60 = 100

8x = 160

x = 20

y = 3(20) - 30

y = 60 - 30

y = 30

Answer:

y = 2/3x + 3 2/3

Step-by-step explanation:

slope intercept form: y = mx + b

isolate the y => y = 2/3(x - 2) + 5 => y = 2/3x - 4/3 + 5 => y = 2/3x + 3 2/3