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3 years ago

The nth term of a sequence is 5n + 1.

Mathematics

1 answer:

nignag [31]3 years ago

4 0

Answer:

2nd option

Step-by-step explanation:

note that

5n ← generates multiples of 5, that is

5 × 1 = 5

5 × 2 = 10

5 × 3 = 15

5 × 4 = 20 , etc

5, 10, 15, 20, ....... are multiples of 5

but 5n + 1 does not generate multiples of 5 as

5 + 1 = 6

10 + 1 = 11

15 + 1 = 16

20 + 1 = 21

6, 11, 16, 21 are not multiples of 5

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Jada Elena and Lin walked a total of 37 miles last week. jada walked 4 more miles that elena, and Lin walked 2 more miles than j

MA_775_DIABLO [31]

Answer:

Jada walked $13\ miles$

Elena walked $9\ miles$

Lin walked $15\ miles$

Step-by-step explanation:

Let

x----> total miles walked by Jada

y----> total miles walked by Elena

z----> total miles walked by Lin

we know that

$x+y+z=37$ -----> equation A

$x=y+4$ -----> $y=x-4$ ------> equation B

$z=x+2$ ------> equation C

Substitute equation C and equation B in equation A and solve for x

$x+(x-4)+(x+2)=37$

$3x=37+2$

$3x=39$

$x=13\ mi$

Find the value of y

$y=13-4=9\ mi$

Find the value of z

$z=13+2=15\ mi$

therefore

Jada walked $13\ miles$

Elena walked $9\ miles$

Lin walked $15\ miles$

3 0

3 years ago

4. The red graph (1) is the graph of f(x) = log(x). Describe the transformation of the blue function (2) and write the equation

sergey [27]

Answer:

Function $f(x)$ is shifted 1 unit left and 1 unit up.

$f(x)\rightarrow f(x+1)+1$

Transformed function $f(x+1)+1=\log(x+1)+1$

Step-by-step explanation:

Given:

Red graph (Parent function):

$f(x)=\log(x)$

Blue graph (Transformed function)

From the graph we can see that the red graph is shifted 1 units left and 1 units up.

Translation Rules:

$f(x)\rightarrow f(x+c)$

If $c>0$ the function shifts $c$ units to the left.

If $c$ the function shifts $c$ units to the right.

$f(x)\rightarrow f(x)+c$

If $c>0$ the function shifts $c$ units to the up.

If $c$ the function shifts $c$ units to the down.

Applying the rules to $f(x)$

The transformation statement is thus given by:

$f(x)\rightarrow f(x+1)+1$

As function $f(x)$ is shifted 1 unit left and 1 unit up.

Transformed function is given by:

$f(x+1)+1=\log(x+1)+1$

5 0

3 years ago

What is the equation of the line in standard form

aivan3 [116]

your answer is d because the formula is Ax+By=C

6 0

3 years ago

What are the values a, b, and c in the following quadratic equation?<br><br> −6x = −8x2 − 13

lesya692 [45]

Answer:

Quadratic equation follows form: ax^2 + bx + c = 0

a = 8

b = - 6

c = 13

4 0

3 years ago

Triangle X Y Z is shown. Angle X Z Y is 90 degrees and angle X Y Z is 41 degrees. The length of Z X is 22.

skad [1K]

The equation that could be used to solve for the length of XY is XY = 22/sin(41)

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Sine rule is used to show the relationship between the sides and angles of a trinagles.

Using sine rule on triangle XYZ:

XY / sin(Z) = XZ / sin(Y)

XY / sin(90) = 22/sin(41)

XY = 22/sin(41)

The equation that could be used to solve for the length of XY is XY = 22/sin(41)

Find out more on equation at: brainly.com/question/2972832

#SPJ1

8 0

2 years ago