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alexgriva [62]
3 years ago
13

Which choice shows y=2x+2 and y=2^x correctly paired with their graphs?

Mathematics
1 answer:
diamong [38]3 years ago
6 0

Answer:

The second option.

Step-by-step explanation:

Hope this helps!

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The recursive rule for a sequence is shown.an=an−1+9a1=21 what is the explicit rule for this sequence?
bixtya [17]

Answer:

Meaning of Explicit rule , is the general rule for a sequence.

The given sequence is defined as,

a_{n}=a_{n-1}+9a_{1}-21----(1)

Common Difference(d) of an airthmetic Sequence= N th term - (N-1) th term

                                 =a_{n}-a_{n-1}\\\\=a_{n-1}-a_{n-2}                                            

Equation 1 can be written as,

a_{n}-a_{n-1}=9 a_{1}-21\\\\ d =9a_{1}-21

General rule or explicit rule for this sequence is given as:

a_{n}=a_{1} +(n-1)d\\\\a_{n}=a_{1}+(n-1)(9a_{1}-21)\\\\a_{n}=a_{1}+9na_{1}-21 n-9a_{1}+21\\\\a_{n}=-8a_{1}+21+n(9a_{1}-21)

6 0
3 years ago
The x intercept of the line x=3.5 is?
ladessa [460]
In this problem, the x intercept is 3.5 because the line crosses through the x axis at the point (3.5,0)
4 0
3 years ago
A rectangle is 12 feet long and 5 feet wide. If the length of the rectangle is increased by 25% and the width is decreased by 20
lisabon 2012 [21]

Answer:

30 square feet.

Step-by-step explanation:

We have to find the main area of the rectangle to determine the changes.

We know, Area of a rectangle = Length × Width

Given,

Length = 12 feet

Width = 5 feet

Therefore, the area of the rectangle = (12 × 5) Square feet.

The area of the rectangle = 60 square feet.

Now, if the length of the rectangle increased by 25%, the new length would be = 12 feet (12 feet × 25%) = 12 feet + 3 feet = 15 feet.

If the width increased by 20%, the latest width would be = 5 feet + (5 feet × 20%) = 5 feet + 1 foot = 6 feet.

The new area of that rectangle = (15 × 6) square feet = 90 square feet.

The changes of area from the previous rectangle is = (90 - 60) square feet = 30 square feet.

5 0
3 years ago
Plz help ill give you brainlist
kirill [66]
9x - 37 = - 118

add 37 to both sides
9x - 37 + 37 = -118 + 37
simplify
9x = -81
divide both sides by 9
9x/9 = -81/9
simplify
x = - 9

answer
x = -9
5 0
3 years ago
Read 2 more answers
For simple linear regression, y = β0 + β1x + u, which one of the following statements is true?
RSB [31]

Answer:

Option a) u is called the "error term". It is the error we make in prediction

Option d) x is called the independent variable because x is independent from y and u.

Step-by-step explanation:

We are given the following information in the question:

y = \beta_0 + \beta_1x + u

where y is the dependent variable, x is the independent variable.

\beta_0: It is the value of y when x is zero, that is y-intercept.

\beta_1: It is the coefficient of x in predicting the dependent variable y.

u is the error term.

  • An error term represents the margin of error.
  • It refers to the sum of the deviations within the regression line, that is the difference between the predicted value and the observed value of y.

Thus, Option A) u is the error term and Option D)  x is called the independent variable because x is independent from y and u are the correct answer.

6 0
3 years ago
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