All categories

3 years ago

9a-3d=31 -3d+1d=-1 Solve by elimination

Mathematics

1 answer:

larisa86 [58]3 years ago

4 0

Answer:

a = 65/18 , d = 1/2

Step-by-step explanation by elimination:

Solve the following system:

{9 a - 3 d = 31 | (equation 1)

-2 d = -1 | (equation 2)

Multiply equation 2 by -1:

{9 a - 3 d = 31 | (equation 1)

0 a+2 d = 1 | (equation 2)

Divide equation 2 by 2:

{9 a - 3 d = 31 | (equation 1)

0 a+d = 1/2 | (equation 2)

Add 3 × (equation 2) to equation 1:

{9 a+0 d = 65/2 | (equation 1)

0 a+d = 1/2 | (equation 2)

Divide equation 1 by 9:

{a+0 d = 65/18 | (equation 1)

0 a+d = 1/2 | (equation 2)

Collect results:

Answer: {a = 65/18 , d = 1/2

You might be interested in

Identify the TRUE statement relating to a property of the function y = sin x

svlad2 [7]

The true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B

<h3>Properties of the function</h3>

The following are the properties of the sin trigonometric ratio of the function;

The sine graph rises till +1 and then falls back till -1 from where it rises again.

The function y = sin x is an odd function
The domain of y = sin x is the set of all real numbers

The range of sine function is the closed interval [-1, 1]
The amplitude of the function is half its range value
One cycle of the function is 6. 28

From the above listed deductions, we can see that the true statement about the function y = sin x is that the range which is always known as the maximum and minimum values of the function are 1 and - 1 respectively.

Thus, the true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B

Learn more about the sine function here:

brainly.com/question/9565966

#SPJ1

6 0

2 years ago

8:2 in its simplest form

VMariaS [17]

Answer:

4:1

Step-by-step explanation:

just divide by 2

4 0

3 years ago

4. A safe slope for a ladder is 1 ft of run for every 4 ft of rise. Vincent needs to use a

Ivan

Answer:

5.5 ft

Step-by-step explanation:

because its 4ft for every 1ft there's a ratio of 1:4 so 22 represents the 4 part of the ratio, hence 22 divided by 4 gives us 5.5 on the base

7 0

2 years ago

given the recursive formula for a geometric sequence find the common ratio the 8th term and the explicit formula.did I set these

lesya [120]

Answer:

Step-by-step explanation:

1)Since we know that recursive formula of the geometric sequence is

$a_{n}=a_{n-1}*r$

so comparing it with the given recursive formula $a_{n}=a_{n-1}*-4$

we get common ratio =-4

8th term= $a_{1}*(r)^{n-1}=-2*(-4)^{7} =32768.$

Explicit Formula = $-2*(-4)^{n-1}$

2) Comparing the given recursive formula $a_{n}=a_{n-1}*-2$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-2

8th term= $a_{1}*(r)^{n-1}=-4*(-2)^{7} =512.$

Explicit Formula = $-4*(-2)^{n-1}$

3)Comparing the given recursive formula $a_{n}=a_{n-1}*3$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =3

8th term= $a_{1}*(r)^{n-1}=-1*(3)^{7} =-2187.$

Explicit Formula = $-1*(3)^{n-1}$

4)Comparing the given recursive formula $a_{n}=a_{n-1}*-4$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-4

8th term= $a_{1}*(r)^{n-1}=3*(-4)^{7} =-49152.$

Explicit Formula = $3*(-4)^{n-1}$

5)Comparing the given recursive formula $a_{n}=a_{n-1}*-4$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-4

8th term= $a_{1}*(r)^{n-1}=-4*(-4)^{7} =65536.$

Explicit Formula = $-4*(-4)^{n-1}$

6)Comparing the given recursive formula $a_{n}=a_{n-1}*-2$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-2

8th term= $a_{1}*(r)^{n-1}=3*(-2)^{7} =-384.$

Explicit Formula = $3*(-2)^{n-1}$

7)Comparing the given recursive formula $a_{n}=a_{n-1}*-5$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-5

8th term= $a_{1}*(r)^{n-1}=4*(-5)^{7} =-312500.$

Explicit Formula = $4*(-5)^{n-1}$

8)Comparing the given recursive formula $a_{n}=a_{n-1}*-5$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-5

8th term= $a_{1}*(r)^{n-1}=2*(-5)^{7} =-156250.$

Explicit Formula = $2*(-5)^{n-1}$

6 0

3 years ago

The bar graph below displays students’ responses to the question "What caffeinated drinks do you consume?”

alekssr [168]

Answer:

I don't know see the bar graph BUT i do know some caffeinated drinks students would consume. Coffee, Soda, Tea, & Energy Drinks.

Step-by-step explanation:

8 0

2 years ago