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Lostsunrise [7]
3 years ago
6

Identify the slopes and y intercept?

Mathematics
1 answer:
Vikki [24]3 years ago
6 0

Answer:

answer for number 9 : slope is 3/7 and the y intercept is (0, -2/7 )

answer for number 10 : slope is 4/7 and the y intercept is (0,10)

Step-by-step explanation:

here i hope this helped you

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Find the value of n for which the vectors a⃗ =(3,2)a→=(3,2) and b⃗ =(9,n)b→=(9,n) are collinear.​
Makovka662 [10]

Answer:

For n=6, the given vectors will be collinear.

Step-by-step explanation:

Collinear vectors are the vectors which lie on the same line or parallel lines. In order to find if two vectors are collinear, their ratio is found. If the ratio is same for all unit vectors then the vectors are collinear.

Given

a = (a_1, a_2) = (3,2)\\b = (b_1, b_2) = (9,n)

The ratio of first unit vectors is:

\frac{a_1}{b_1} = \frac{3}{9} = \frac{1}{3}

In order for the vectors to be collinear the other ratio should also be 1/3

\frac{a_2}{b_2} = \frac{1}{3}

Writing it mathematically

\frac{2}{n} = \frac{1}{3}\\2*3 = n\\n = 6

Hence,

For n=6, the given vectors will be collinear.

8 0
3 years ago
Please can someone help me with this !!!!!!!
Anvisha [2.4K]

Answer: 1 : 20%

2 : 80%

3 : -90% (negative 90%), if no negatives are allowed, than it is a 90% decrease.

4 : $90

5: $31.50

Step-by-step explanation:

4 0
4 years ago
Write a recursive formula for a n a n , the n th n th term of the sequence 6 , − 12 , 24 , . . .
Anton [14]

Answer:

See below ↓↓

Step-by-step explanation:

a₁ refers to the first term of the sequence.

That is clearly : a₁ = <u>6</u>

<u></u>

The formula for the nth term is :

  • aₙ = a₁rⁿ⁻¹
  • Common ratio (r) = quotient of consecutive terms
  • r = -12/6 = -2

Therefore, the nth term is :

  • aₙ = <u>6(-2)ⁿ⁻¹</u>
4 0
2 years ago
Rewrite the following phrase as a mathematical expression.
kompoz [17]

Answer:

3n+15

Step-by-step explanation:

three (3) times (*\\) a number (n) added (+) to fifteen (15)

3n+15 is your answer

Hope this helps!

5 0
3 years ago
A straight-line graph
Verdich [7]

Given:

A straight-line graph  has gradient 4  and crosses the y axis at (0, −3).

To find:

The equation of the given graph.

Solution:

The slope intercept form of a line is:

y=mx+b            ...(i)

Where, m is the slope of the line and b is the y-intercept.

A straight-line graph  has gradient 4. It means the slope of the line is 4.

m=4

Line crosses the y axis at (0, −3). So, y-intercept is -3.

b=-3

Putting m=4 and b=-3 in (i), we get

y=(4)x+(-3)

y=4x-3

Therefore, the equation of the given line graph is y=4x-3.

3 0
3 years ago
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