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3 years ago

For what values of k will he graph of y=kx+3 be a descending line

2 answers:

8 0

Y = mx + b
if m < 0 then graph is a descending
if m > 0 then graph is an increasing

y = kx + 3

The graph is a descending if k < 0.

liraira [26]3 years ago

3 0

K has to be negative.

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Find an equation for the nth term in the following sequence:<br> 2, 8, 32, 128, 512...

seraphim [82]

Answer:

$a_n = 2(4) ^{n-1}$

Step-by-step explanation:

The sequence shown matches that of a geometric sequence of radius 4. To prove it, divide the term $\frac{a_{n + 1}}{a_n}$ and check that $\frac{a_{n + 1}}{a_n}=4$

Then the formula that represents this sequence is:

$a_n = a_1(r)^{n-1}$

Where $a_1$ is the first term of the series = 2 and $r$ is the radius of convergence = 4.

Then the equation is:

$a_n = 2(4) ^{n-1}$

8 0

3 years ago

Read 2 more answers

In The autumn 40% of the leaves on a tree are yellow and 24% of them are green the remaining 72 leaves are half yellow how many

Charra [1.4K]

Percentage of yellow leaves on a tree during Autumn = 40%

Percentage of green leaves on a tree during Autumn = 24%

Percentage of half yellow leaves on the tree during Autumn :

$= \tt100 - 40 + 24$

$= \tt 100 - 64$

$= \tt 36 \%$ Thus, the percentage of half yellow leaves on the tree during Autumn = 36%

Number of half yellow leaves on the tree = 36%

Let the total number of leaves on the tree be x.

Which means :

$= \tt36 \% \: of \: x = 72$

$= \tt \frac{36}{100} \times x = 72$

$= \tt \frac{36 \times x}{100} = 72$

$= \tt \frac{36x}{100} = 72$

$= \tt 36x = 72 \times 100$

$= \tt36x = 7200$

$= \tt x = \frac{7200}{36}$

$\color{plum} = \tt \: x = 200$

Thus, total number of leaves on the tree = 200

Number of yellow leaves on the tree :

$= \tt40 \% \: \: of \: \: 200$

$= \tt \frac{40}{100} \times 200$

$= \tt \frac{40 \times 200}{100}$

$= \tt \frac{8000}{100}$

$\color{plum} \tt = 80 \: yellow \: \: leaves$

Thus, total number of yellow leaves on the tree = 80

Number of green trees on the tree :

$= \tt24 \% \: \: of \: \: 200$

$= \tt \frac{24}{100} \times 200$

$= \tt \frac{24 \times 200}{100}$

$= \tt \frac{4800}{100}$

$\color{plum} = \tt 48 \: green \: \: leaves$

Thus, the total number of green leaves on the tree = 48

Since the sum of all types of leaves form 200[80+48+72=200], we can conclude that we have found out the correct number of each type of leaf.

▪︎Therefore, <em>the total number of leaves on the tree = 200</em>

3 0

3 years ago

* The nth term of sequence A is 3n − 2 The nth term of sequence B is 10 − 2n Sally says there is only one number that is in both

Nina [5.8K]

Answer:

Sally is not right

Step-by-step explanation:

Given the two sequences which have their respective $n^{th}$ terms as following:

Sequence A. $3n - 2$

Sequence B. $10 - 2n$

As per Sally, there exists only one number which is in both the sequences.

To find:

Whether Sally is correct or not.

Solution:

For Sally to be correct, we need to put the $n^{th}$ terms of the respective sequences as equal and let us verify that.

$3n-2=10-2n\\\Rightarrow 3n+2n=10+2\\\Rightarrow 5n=12\\\Rightarrow n = \dfrac{12}{5}$

When we talk about $n^{th}$ terms, $n$ here is a whole number not a fractional number.

But as per the statement as stated by Sally $n$ is a fractional number, only then the two sequences can have a number which is in the both sequences.

Therefore, no number can be in both the sequences A and B.

Hence, Sally is not right.

7 0

2 years ago

Can someone help me solve this matrix

liraira [26]

Answer:

You cant add a negative number.

Step-by-step explanation:

If you add a negative number you will not have a full answer.

6 0

2 years ago

Maria borrowed $120,000 from a bank when she bought her co-op for $156,000.

ANTONII [103]

Answer:

hello there im sam and im going to help you with your answer.

Step-by-step explanation:

so you take the 156,000 and subtract it to 120,000 and you will get 36,000 and thats how much she owes the bank.

6 0

2 years ago