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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​

Mathematics
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
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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
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