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andreyandreev [35.5K]

3 years ago

9

A scientist created a scatterplot to display the height of a plant over a 12 day period. Which is the equation of the trend line

that is shown?
A. y=1/7×+4/7
B. y=1/7×+16/7
C. y=4/7×-1/7
D. y=4/7×+1/7

2 answers:

mixas84 [53]3 years ago

8 0

D. y = 4/7x + 1/7

EG.2020

Papessa [141]3 years ago

5 0

Answer:

a

Step-by-step explanation:

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What is the value of the letter n?

sleet_krkn [62]

Answer:

The value of n depends on the questin. N would be a variable in an equation.

Step-by-step explanation:

For example. 2*n=6

n is the variable in the equation. Therefore, the value of n is 3. Because 2*3=6.

8 0

3 years ago

Which inequality represents all the solutions of -5x+5 > 160 - 10x?

Tcecarenko [31]

Answer:

x > 31

Step-by-step explanation:

Given

- 5x + 5 > 160 - 10x ( add 10x to both sides )

5x + 5 > 160 ( subtract 5 from both sides )

5x > 155 ( divide both sides by 5 )

x > 31

6 0

4 years ago

Read 2 more answers

Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false:

kondaur [170]

$\text{Proof by induction:}$
$\text{Test that the statement holds or n = 1}$

$LHS = (3 - 2)^{2} = 1$
$RHS = \frac{6 - 4}{2} = \frac{2}{2} = 1 = LHS$
$\text{Thus, the statement holds for the base case.}$

$\text{Assume the statement holds for some arbitrary term, n= k}$
$1^{2} + 4^{2} + 7^{2} + ... + (3k - 2)^{2} = \frac{k(6k^{2} - 3k - 1)}{2}$

$\text{Prove it is true for n = k + 1}$
$RTP: 1^{2} + 4^{2} + 7^{2} + ... + [3(k + 1) - 2]^{2} = \frac{(k + 1)[6(k + 1)^{2} - 3(k + 1) - 1]}{2} = \frac{(k + 1)[6k^{2} + 9k + 2]}{2}$

$LHS = \underbrace{1^{2} + 4^{2} + 7^{2} + ... + (3k - 2)^{2}}_{\frac{k(6k^{2} - 3k - 1)}{2}} + [3(k + 1) - 2]^{2}$
$= \frac{k(6k^{2} - 3k - 1)}{2} + [3(k + 1) - 2]^{2}$
$= \frac{k(6k^{2} - 3k - 1) + 2[3(k + 1) - 2]^{2}}{2}$
$= \frac{k(6k^{2} - 3k - 1) + 2(3k + 1)^{2}}{2}$
$= \frac{k(6k^{2} - 3k - 1) + 18k^{2} + 12k + 2}{2}$
$= \frac{k(6k^{2} - 3k - 1 + 18k + 12) + 2}{2}$
$= \frac{k(6k^{2} + 15k + 11) + 2}{}$
$= \frac{(k + 1)[6k^{2} + 9k + 2]}{2}$
$= \frac{(k + 1)[6(k + 1)^{2} - 3(k + 1) - 1]}{2}$
$= RHS$

Since it is true for n = 1, n = k, and n = k + 1, by the principles of mathematical induction, it is true for all positive values of n.

3 0

4 years ago

the sum of two numbers is 9. if one number is subtracted from the other, the result is 3. find the numbers

irakobra [83]

X, y - the numbers

The sum of the two numbers is 9.
$x+y=9$

If one number is subtracted from the other, the result is 3.
$x-y=3$

Solve the system of equations:
$x+y=9 \\
\underline{x-y=3} \\
x+x=9+3 \\
2x=12 \ \ \ |\div 2 \\
x=6 \\ \\
x+y=9 \\
6+y=9 \ \ \ |-6 \\
y=3$

The numbers are 6 and 3.

6 0

3 years ago

Read 2 more answers

If one gallon of milk costs 3.35, how much would 12 quarts of milk cost

aksik [14]

Answer:

10.05 for 12 quarts

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers