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3 years ago

Write an equation of a line that goes.through point (0,1) and has.a.slope of 0

Mathematics

1 answer:

expeople1 [14]3 years ago

7 0

Answer:

y=1

Step-by-step explanation:

If the slope of a line is 0, then the line is horizontal.

From there, all you have to do is find y.

This is easy because all you have to do is write down the y-coordinate that's listed.

So, the equation would be y=0x+1 which is y=1.

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Gregory has agreed to donate $100 to Spring Valley High School for its library. In addition, he will donate $15 for every book a

sladkih [1.3K]

Answer:

$a_n=15n+100$ where $n =1, 2, 3, .....$

Step-by-step explanation:

Given that:

Amount of money to be donated by Gregory = $100

Amount of money to be donated for every book that a student will read = $15

The series becomes:

100, 115, 130, 145, 160, .....

To find:

The explicit formula to represent this problem situation.

Solution:

First of all, let us have a look at the difference of each term from its previous term.

Second term - First term = 115 - 100 = 15

Third term - Second term = 130 - 115 = 15

Fourth term - Third term = 145 - 130 = 15

The difference is same, therefore the given series is an Arithmetic Progression (AP).

We have to find the $n^{th}$ term of the given AP.

Formula for $n^{th}$ term:

$a_n=a+(n-1)d$

$a$ is the first term and

$d$ is the common difference.

Here, $a$ = 115 (because $100 is the fixed amount so first term is taken as 115 when one book is read)

$d = 15$

Putting the values, we get:

$a_n=115+(n-1)15\\\Rightarrow a_n=115+15n-15\\\Rightarrow a_n=15n+100$

Therefore, formula to represent the situation is:

$a_n=15n+100$ where $n =1, 2, 3, .....$

5 0

3 years ago

What is the slope-intercept form of the equation of the line that passes through the point (-6, 1) and is perpendicular to the g

lilavasa [31]

Answer:

3y=2x-5

Step-by-step explanation:

well y=mx+b

so you do the following

2x+3y=-5

-2x . -2x

3y=2x-5

is this what you need

6 0

4 years ago

Need help please. Thanks so much.

Bingel [31]

Answer:

$(-1,\frac{17}{6})$

$(3,\frac{3}{2})$

$(-5,\frac{25}{6})$

Step-by-step explanation:

The given equation is $2x+6y=15$

We substitute the ordered pairs to see which ones satisfies the equation.

For (-1,-8), we put x=-1 and y=-8 to get:

$2(-1)+6(-8)=^?15$

$-2+-48=^?15\\-50=^?15$

This is not true.

For $(-1,\frac{17}{6}))$ we put x=-1 and $y=\frac{17}{6}$ to get

$2(-1)+6*\frac{17}{6})=15\\ -2+17=15\\15=15$

This is true

For (3,3/2) we have 2(3)+6(3/2)=15

This implies 6+9=15

15=15

This is also True

For (-5,25/6), we have 2(-5)+6(25/6)=-10+25=15

This is also true.

8 0

3 years ago

How does the graph y=3^x compare to the graph y=3^-x

LUCKY_DIMON [66]

Answer:

Y = 3x^x is a graph that has exponential growth while y = 3^-x has exponential decay.

Y = 3x^x (-∞, 0) and (∞, ∞).

Y = 3x^-x (-∞, ∞) and (∞, 0).

Step-by-step explanation:

The infinity symbols were being used to represent the x and y values of each graph. I will call y = 3^x "graph 1" and y = 3^-x "graph 2".

When graph 1 had positive ∞ for its x value, its y value was reaching towards positive ∞. When its x was reaching for negative ∞, its y was going for 0.

For graph 2, however, when its x was reaching for positive ∞, its x was reaching for 0. When its x was reaching for negative ∞, its y was going for positive ∞.

Here's an image of the graphs:

5 0

3 years ago

6. Keaton needs to fill juice cups for her little sister's birthday party. There are 22 juice cups and each juice cup holds 12 f

lianna [129]

Answer: she will need about 2 gallons of juice

Step-by-step explanation:

3 0

2 years ago