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andrezito [222]
3 years ago
10

The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?

Mathematics
1 answer:
Nat2105 [25]3 years ago
8 0

Answer:

y=x-1

Step-by-step explanation:

since the slope is just one up and one over and it's positive it would just be x

and since the intercept is just -1 it would be y=x-1

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The sum of an infinite geometric series is 450, while the common ratio of the series is 4/ 5 . What is the first term of the ser
pogonyaev

Answer:

answer is 90 for first term

Step-by-step explanation:

Let the terms be  

First term x

We will use the formula s∞=x/1−r to find the sum of an infinite geometric series, where −1<r<1.  

We know the sum and the common ratio, so we'll be solving for x where r =4/5

s∞=x/1−r

450=x/1−4/5

450=x/1/5

450=5x

x=90

this is the first term x1 = 90

we know that common ratio is 4/5, so multiplying the first term by factor 4/5 to get the second term  

90 x 4/5=   72 second term  

7 0
3 years ago
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A rectangle garden has a width that is 8 feet less than twice the length. Find the dimensions if the perimeter is 20 feet
Lana71 [14]

Width = 4ft

Length = 6ft

<u>Explanation: </u>

Let length = l ,

So, width = 2l-8

Perimeter of rectangle = 2x(length + width)

According to the question,

20ft = 2X(l + 2l-8)\\20ft = 2X(3l -8)\\ 10ft = 3l-8\\18ft = 3l \\ l = 6ft

Hence,

Width = 4ft

Length = 6ft

6 0
3 years ago
Please solve and show work! Thanks!
notsponge [240]

Answer:

1) x < 1, x > 9

2) 2 < x ≤ 6, -4 ≤ x < 0

Step-by-step explanation:

1) lx - 5l > 4

x - 5 = 4

x = 9

-(x - 5) = 4

x = -4 + 5 = 1

x < 1, x > 9

3) 1 < lx-1l ≤ 5

1 < x-1 ≤ 5

2 < x ≤ 6

1 < -(x-1) ≤ 5

-5 ≤ x-1 < -1

-4 ≤ x < 0

6 0
3 years ago
Read 2 more answers
I need help! I can't figure out how to do this! So, can you help me?​
Tanzania [10]

Answer:

5 - x=90°

6- angle c= 75°

7- angle a = 90°

8 0
3 years ago
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What is the first term of the quotient of the following division problem?
Naddika [18.5K]

Answer:

x²

Step-by-step explanation:

x³ - 1 ÷ x + 2

the first term of the quotient is x³ ÷ x = x²

4 0
3 years ago
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