what is the explicit formula for this sequence? -8, -3, 2, 7

Answer:

y - 2 = [tex]\frac{1}{3}[/tex] (x - 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = [tex]\frac{1}{3}[/tex] and (a, b) = (3, 2) , thus

y - 2 = [tex]\frac{1}{3}[/tex](x - 3)

Given : A line passes through a point ( 3 , -2 ) and the slope of the line is ⅓ .

To Find : The equation of that line .

Solution : Here we are provided with a point ( 3 , -2 ) and slope of the line which is ⅓ . So clearly here to represent the line we will use point - slope form , which is ;

[tex]\large\underline{\boxed{\red{\bf y - b = m ( x - a ) }}}[/tex]

Where ,

Here ,

Now , put the respective values ;

[tex]\boxed{\purple{\sf y - 2 = \dfrac{1}{3}(x-3)}}[/tex]

Answer:

144 dollars

Step-by-step explanation:

We are told that:

Lewis and his sister both begin with a balance of zero dollars.

Now, for every 4 dollars that Lewis saves in his account, his sister saves 9 dollar.

Now, if Lewis has 64 dollars in his account, it means he saved 4 dollars for 64/4 times or 16 times.

Therefore his sister saved 9 dollars for 16 times too.

Thus, his sister saved: 16 × 9 = 144 dollars

Answer:

The correct calculation is 180 - 56

Step-by-step explanation:

From the question, we have DCG and DCF

looking at the diagram, we can see that both lie on a straight line and are a linear pair

So the addition of both will give 180

But DCG is 56

So;

DCF + 56 = 180

So;

DCF = 180 - 56

Answer:

135

Step-by-step explanation:

this is the formula:

to find the sum of the interor angles of any polygon

180(n-2)

n= the number of sides a polygon has

you can find each indivual angle value or measure by dividing that sum you get by n

Answer:

135 degrees :)

Step-by-step explanation:

Answer:

A reflection is the same just on the opposite side a dilation enlarges or enhances it along with flipping it thats what makes them different please give me brainliest.

Answer:

b

Step-by-step explanation:

if you mean squared and not square root, then it would be b because if you factor it back out, you will get the original expression back because of the subtraction of perfect squares.

Answer:

Step-by-step explanation:

[tex](7+2u) (7-2u)=(7)(7)+(7)(-2u)+(2u)(7)+(2u)(-2u)=\\\\=49-14u+14u-4u^2=\ \underline{49-4u^2}[/tex]

Answer: Not always the same

Step-by-step explanation:because as its shown every amountof tuna is not the same.

Answer: the price is not always the same/9 pounds

Step-by-step explanation: the price goes up by 10 then by 8 next it will be 6

Algebra 1 Notes A.11 Quadratic Regression Mrs. Grieser

Name: ________________________________________ Date: ______________ Block: _________

Linear Regression Review

Suppose we have the following points:

1) Draw a scatter plot of the data:

2) What is the line of best fit?

Use the calculator:

 Turn on diagnostics (Catalogue: DiagnosticsOn) to view correlation coefficient. The

closer |r| = 1, the better the data fit

 <STAT PLOT> Turn plot 1 on, and choose scatter plot, L1, L2

 Enter x values in L1

 Enter y values in L2

 <STAT><CALC><4:LinReg>L1, L2, <VARS><Y-VARS><1:Function><1:Y1> <enter>

 Y = ax + b = equation of line of best fit. Equation: ________________________________

 Press <ZOOM>< 9:ZoomStat>

Questions: What would we expect the y-value to be for x value 59? 64? 67?

Use the equation or TABLE feature of the calculator to find out…

x = 59, y = ____________, x = 64, y = ___________, x = 67, y = ________

What would we expect the x-value to be for a y value of 2? _________

 The line of best fit allows us to make predictions for data that is almost linear.

 What if data is not linear but is more like another curve?

Algebra 1 Notes A.11 Quadratic Regression Mrs. Grieser Page 2

Quadratic Curve of Best Fit (Quadratic Regression)

 Plot the data (same as linear regression)

 Use calculator QUADREG function to find curve equation and predict values.

 Calculator regression functions: <STAT><CALC>…

o 5: QuadReg: quadratic regression – finds a quadratic of best fit (y=ax2+bx+c)

Example 1:

The table shows the monthly sales (thousands) for a new hair salon since its grand opening

in March.

Month 0 1 2 3 4 5

Sales 5.6 5.8 6.2 6.9 7.9 9.0

1) Find the best fitting quadratic model. ________________________________

2) What is the prediction for total sales in September? ___________________

3) How do you know that the better model to use a quadratic fit rather than a linear fit?

Example 2:

Mrs. Grieser's class did an experiment by rolling a marble down different length slanted

boards and timing how long it took. The results are shown below:

sec. 0 4.5 11 13.4 10 8.9 14.1 9.5 12.6

cm. 0 10 60 90 50 40 100 45 80

1) Plot the data:

2) What is the quadratic curve of best fit?

3) Based on the graph, how long would it take for the

marble to roll 15 cm?

4) Approximately how far will the marble travel in 3

seconds?

5) How do we know that a quadratic model is better than a linear model for this example?

Answer:

Yes it does exist

Step-by-step explanation:

You must be able to add any two sides and get a number greater than the third side in order to be considered a triangle.

In this case that is possible.

Hope this helps!

Answer:40 miles

Step-by-step explanation:

5*4=20

20*2=40

Answer:

40 miles

Step by Step Explanation:

Each 1/4 of an hour is 15 minutes. 2 hours is 120 minutes, so you divide 120 by 15, which gives you 8. You multiply 8 times the 5 miles , and you get 40 miles. :)

Answer:

60

Step-by-step explanation:

10 × 6 is 60. if it asks the % of a number, you multiply the number by %

Answer:

60

Step-by-step explanation:

hope this helps

Answer: 1380

Step-by-step explanation:

We have been given that population density is the number of people per unit of area.

Therefore, the population of the region would be 1380 people.

Answer:

v = 1.444

Step-by-step explanation:

v = 26/18

v = 1.444

Answer:

26 = 18v

=> 26 / 18 = v (By the law of transposition)

=> 13/9 = v

=> 1.44444 repeating = v (After solving)

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Step-by-step explanation:

1) Option II (1)

2) Option III (-5)

3) IV (None of these)

4) III (-4)

Answer:

1. The numerical coefficient of x^2y^2 is 1

2. -5

3. Monomial

4. -4(I know its x squared)

Step-by-step explanation:

1. We know if we multiply any number or variable with 1 it remains same.

here there is no number before (x^2)(y^2) so we assume it as 1.

Hence the answer is 1.

2. numerical coefficient is a constant multiplier of the variables in a term. In the term -5x2y, the numerical coefficient is -5. In the expression ax2 + bx + c, the numerical coefficient of the x2 term is "a" and the numerical coefficient of the x term is "b". "c" is properly referred to as the constant term.

3. in monomial there is only one term and pqr is only one term. binomial requires two terms like abc, pqr. and trinomial requires three terms like abc, pqr, mno.

4. -1^2 - 5 = -1 - 5 = -4 I know in rules of subtracting integer it equals to -4

To subtract integers, change the sign on the integer that is to be subtracted.

If both signs are positive, the answer will be positive.

If both signs are negative, the answer will be negative.

If the signs are different subtract the smaller absolute value from the larger absolute value.

Answer:

y < -11/20

Step-by-step explanation:

4y+8 < -16y -3

Add 16y to each side

4y+16y+8 < -16y+16y -3

20y +8< -3

Subtract 8 from each side

20y+8-8 < -3-8

20y < -11

Divide each side by 20

20y/20 < -11/20

y < -11/20

Answer:

B

Step-by-step explanation:\

The answer must be a negative to transform the answer in parenthesis to a positive (negative times negative = positive) and for B anything less than -11/20 works such as -1, or -4

Answer:

PLSS HELP I NEED TO AWNSER HOW DO I?

Step-by-step explanation:

Answer:

Im sorry if this is wrong.

a quarter is 1/4. 1/4 is .25 so 360-25=335. so she only did 335 degree spin and was 25 degrees short

Step-by-step explanation:

The degree of spin Sarah wants to = 360 degrees

Hence, 1 turn = 360 degrees

Sarah does a quarter turn

A quarter is equivalent to : [tex]\frac{1}{4}[/tex]

So, [tex]\frac{1}{4}[/tex] turn = [tex]\frac{1}{4}[/tex] x 360 degrees

= 90 degrees.

The number of degrees short of her goal that Sarah was of her first attempt is  calculated as :

360 degrees - 90 degrees

= 270 degrees.

Therefore, Sarah was 270 degrees short of her goal at her first attempt.

To learn more, visit the link below:

brainly.com/question/19695338

Answer:

The y-intercept is 7

Step-by-step explanation:

y = slope(x) + y-intercept

Answer:

X= 13/6

and in decimal form:  x=2.16repeated

9514 1404 393

Answer:

  y = 39/2 = 19.5

Step-by-step explanation:

When x is multiplied by 2 from 13 to 26, y will be multiplied by the inverse of that:

  y = (1/2)(39) = 39/2 = 19.5

Answer:

x = -2 or x = -1/2

Step-by-step explanation:

We can just set up an equation where the quadratic is equal to -10, and then solve the equation:

[tex]2x^2+5x-8=-10\\2x^2+5x+2=0\\\\[/tex]

Now, factor:

[tex](2x+1)(x+2) = 0\\x=-2 \text{ or } x=-1/2[/tex]

Answer:

The account balance will be $10,866 after 14 years

Step-by-step explanation:

Compound continuous interest can be calculated using the formula:

[tex]A=Pe^{rt}[/tex]

Let us use this rule to solve the question

∵ Ali invests $4,078 in a retirement account

∴ P = 4,078

∵ The account with a fixed annual interest rate of 7% compounded

   continuously

∴ r = 7% = [tex]\frac{7}{100}[/tex] = 0.07

∵ The time is 14 years

∴ t = 14

Substitute these values in the rule above to find A

∵ [tex]A=4,078(e)^{0.07(14)}[/tex]

→ Use the calculator to find the value of A

∴ A = 10,865.65255

→ Round it to the nearest dollar

∴ A = $10,866

∴ The account balance will be $10,866 after 14 years

Answer:

360

Step-by-step explanation:

the intirior angles equals 180 so ttthe outside have to equal 360

Answer:

5 7th Graders

Step-by-step explanation:

Multiply 5 to 3 and 4 and add them up and you get 35. Then subtract 20-15=5 7th Graders

A Venn diagram is helpful because it allows who ever using it easily compare and contrast and find what they have in common easily.