What is the solution for m >7/12

Slope intercepts No links, Will mark BRAINLIEST

Sergeeva-Olga [200]

Answer:

Lines are perpendicular to each other .

Step-by-step explanation:

Standard equation of line is : y = mx + c, Where m represents the slope

Given Equations :

$y = -5x + 1\\\\Slope , m_1 = -5$

$y = \frac{1}{5}x +1\\\\Slope, m_2 = \frac{1}{5}$

Two lines are parallel if the slope of the lines are same.

Two line are perpendicular if the product of the slope = - 1

Clearly slopes are not equal , therefore the lines are not parallel.

product of the slope is - 1, therefore the lines are perpendicular.

$m_1 \times m_2 = -5 \times \frac{1}{5} = - 1$

8 0

2 years ago

Question 2 of 5

AlekseyPX

Given:

The different recursive formulae.

To find:

The explicit formulae for the given recursive formulae.

Solution:

The recursive formula of an arithmetic sequence is $f(n)=f(n-1)+d, f(1)=a,n\geq 2$ and the explicit formula is $f(n)=a+(n-1)d$ , where a is the first term and d is the common difference.

The recursive formula of a geometric sequence is $f(n)=rf(n-1), f(1)=a,n\geq 2$ and the explicit formula is $f(n)=ar^{n-1}$ , where a is the first term and r is the common ratio.

The first recursive formula is:

$f(1)=5$

$f(n)=f(n-1)+5$ for $n\geq 2$ .

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 5. So, the explicit formula for this recursive formula is:

$f(n)=5+(n-1)(5)$

$f(n)=5+5(n-1)$

Therefore, the correct option is A, i.e., $f(n)=5+5(n-1)$ .

The second recursive formula is:

$f(1)=5$

$f(n)=3f(n-1)$ for $n\geq 2$ .

It is the recursive formula of a geometric sequence with first term 5 and common ratio 3. So, the explicit formula for this recursive formula is:

$f(n)=5(3)^{n-1}$

Therefore, the correct option is F, i.e., $f(n)=5(3)^{n-1}$ .

The third recursive formula is:

$f(1)=5$

$f(n)=f(n-1)+3$ for $n\geq 2$ .

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 3. So, the explicit formula for this recursive formula is:

$f(n)=5+(n-1)(3)$

$f(n)=5+3(n-1)$

Therefore, the correct option is D, i.e., $f(n)=5+3(n-1)$ .

6 0

3 years ago

Read 2 more answers

What is the place value of 6,064,325 and 3,974,381

Andreas93 [3]

Millions. Btw if there's 2 commas and 1 digit before the first comma it's million

4 0

3 years ago

What is the solution to StartFraction 5 over 6 EndFraction x minus one-third greater-than 1 and one-third?

Vikentia [17]

Answer:

The correct answer is x > 2.

Step-by-step explanation:

$\dfrac{5}{6} x - \dfrac{1}{3} > 1\dfrac{1}{3}$

An inequality compares two quantities unlike an equality. An inequality is written with either a greater than ( > ) or lower than ( < ) or greater than equal to ( $\geq$ ) or less than equal to ( $\leq$ ) signs. We solve the above given inequality to find the solutions of the unknown x.

$\dfrac{5}{6} x - \dfrac{1}{3} > 1\dfrac{1}{3} \\\dfrac{5}{6} x - \dfrac{1}{3} > \dfrac{4}{3} \\\dfrac{5}{6} x > \dfrac{1}{3} + \dfrac{4}{3} \\\dfrac{5}{6} x > \dfrac{5}{3}\\x > 2$

Firstly we change the right hand side quantity to fraction.

We then transfer the - $\frac{1}{3}$ to the right hand side and add them. The inequality sign does not change as we are simply adding or subtracting terms from both the ends.

Finally we divide both sides with $\frac{6}{5}$ to get the required solution. The inequality sign does not change as we are multiplying both the ends with a positive quantity.

This gives us the answer as x > 2.

6 0

2 years ago

Read 2 more answers

Samantha wants to put a fence around her backyard. She buys the fence in 6-foot sections and needs 12 sections. She spends a tot

Allisa [31]

Legnth of 1 section times number of sections=number of feet needed=6*12=72

72ft=850
divie both sides by 72
1ft=11.8055555

1 ft=$11.81

6 0

3 years ago