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3 years ago

What is the seventh term of an arithmetic sequence represented by the rule A(n) = 9+ (n 1)(-5)?

Mathematics

1 answer:

mr Goodwill [35]3 years ago

6 0

A linear equation in slope intercept form that passes through the points (-11 -5) and (1 -2) is:

$y=\frac{1}{4}x-\frac{9}{4}$

Step-by-step explanation:

Given:

Explicit formula for sequence

$A(n)=9+(n-1)(-5)$

To find the 7th term we have to put n=7

So,

$A(7)=9+(7-1)(-5)\\=9+(6)(-5)\\=9-30\\=-21$

A linear equation in slope intercept form that passes through the points (-11 -5) and (1 -2) is:

$y=\frac{1}{4}x-\frac{9}{4}$

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

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Can you Help me please lol

AVprozaik [17]

Answer:

Slope is 4/5

Step-by-step explanation:

The two points are (3,3) and (-2,-1)

The slope formula is Y2-y1 / x2-x1

So substituting in

-1-3/ -2 -3

-4/-5 = 4/5

You can check it by "walking" up 5 and over to the right 4 on the graph and see that it works.

5 0

2 years ago

The Schuller family has five members. Dad is 6ft 2in tall. Mom is 3 inches shorter than Dad, but 2 inches taller than Ivan. Marc

qwelly [4]

Answer:

Mean = 5 feet 2 inches.

Step-by-step explanation:

1 feet = 12 inches

Height of Dad = 6 feet 2 inches = {(6 × 12)+2} = 74 inches

Mom is 3 inches shorter than dad = 74 - 3 = 71 inches (5 ft 11 in)

Since mom is 2 inches taller than Ivan,

Height of Ivan = 71 - 2 = 69 inches (5 ft 9 in)

Marica is 5 inches shorter than Ivan,

Height of Marica = 69 - 5 = 64 inches (5 ft 4 in)

Marica is twice as tall as Sally-Jo.

Height of Sally-Jo = 64 ÷ 2 = 32 inches (2 ft 8 in)

Hence the mean height of the Schuller family

= $\frac{74+71+69+64+32}{5}$

= 62 inches

converting 62 inches to feet = $\frac{62}{12}$ = 5 feet 2 inches

Mean height of the Schuller family is 5 feet 2 inches.

3 0

3 years ago

How

Alecsey [184]

Answer:

A one solution

Step-by-step explanation:

4(x - 5) = 3x + 7

Distribute

4x - 20 = 3x+7

Subtract 3x from each side

4x-3x-20 = 3x+7-3x

x -20 = 7

Add 20 to each side

x -20+20 = 7+20

x = 27

There is one solution

5 0

3 years ago

Read 2 more answers

0.8) 498 what is the answer

Lina20 [59]

Step 1: We make the assumption that 498 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x.

Step 3: From step 1, it follows that $100\%=498$100%=498.

Step 4: In the same vein, $x\%=4$x%=4.

Step 5: This gives us a pair of simple equations:

$100\%=498(1)$100%=498(1).

$x\%=4(2)$x%=4(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{498}{4}$

100%

x%=

498

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{4}{498}$

100%=

498

$\Rightarrow x=0.8\%$⇒x=0.8%

Therefore, $4$4 is $0.8\%$0.8% of $498$498.

7 0

2 years ago

In the equation y=mx+b, what does the x stand for? And, in the equation y=3x+6 how would I solve for y?

ladessa [460]

Answer:

x stays x in both equations so x stands for x

Step-by-step explanation:

y=3x+6

you can put this into a graphing caculator or draw it yourself.

6 is the y value when x equals 0. and the 3 represents the slope so then it is solved for any y value

7 0

2 years ago