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Eva8 [605]
3 years ago
6

What is the equation of the line with an x-intercept of -1 and a y-intercept of 2?

Mathematics
1 answer:
svlad2 [7]3 years ago
3 0

Answer:

y = 2x + 2

Step-by-step explanation:

<em>(a) Slope </em>

The point-slope formula for a straight line is

y₂ - y₁ = m(x₂ - x₁)

The line goes through the points  (-1, 0) and (0, 2).

2 – 0 = m[0 – (-1)]

     2 = m

(b) y-intercept

y = mx + b

Use the point (0, 2)

     2 = 2× 0+ b

     2 = 0 + b

     b = 2

∴  y = 2x + 2

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2121.8

Step-by-step explanation:

The principal is 2000

Rate is 3%

Time is 2 years

Therefore the amount that will be present in the account after 2 years can be calculated as follows

= 2000 × (1+0.03)^2

= 2000 × 1.03^2

= 2000 × 1.0609

= 2121.8

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2 years ago
How do you find percent of a number mentally
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It isn't easy really but you can always divide the number out. For example 50% of 200 is 100 by dividing 200 by 2 or 25% of 100 is 25 by dividing 100 by 4 since 25% is equivalent to 1/4
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Fifteen sprinters ran the 50-yard dash in an average of 9.5 seconds. Of those runners,3 ran the dash in 11.5 seconds. Find the a
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There might be a variety of averages for the 12 boys.
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write the restrictions that should be imposed on the variable for each of the following function. then find, explicitly, the dom
matrenka [14]

By using the rules that the value inside square root can’t be negative and the denominator value can’t be zero, the domain for the given function is a) x<-1 and x>1  b) p≤1/2  c) s>-1.

I found the complete question on Chegg, here is the full question:

Write the restrictions that should be imposed on the variable for each of the following function. Then find, explicitly, the domain for each function and write it in the interval notation a) f(x)=(x-2)/(x-1)  b) g(p)=√(1-2p)  c) m(s)= (s^2+4s+4)/√(s+1)

Ans. We know that a number is not divisible by zero and number inside a square root can not be negative. In both the cases the outcome will be imaginary.

a) For this case the denominator x-1 can not be zero. So, x ≠1 and the domain is x<-1 and x>1.

b) For this case the value inside square root can’t be negative. So, p can’t be greater than 1/2 the domain is p≤1/2.

c) For this case also the value inside square root can’t be negative and the denominator value can’t be zero. So, s can’t equal or less than -1 and domain is s>-1.

Learn more about square root here:

brainly.com/question/3120622

#SPJ4

3 0
2 years ago
Find slope<br><br> A.1/2<br> B.-1/2<br> C.-2<br> D.2
fomenos

Answer:

Option B, -1/2

Step-by-step explanation:

<u>The slope is change in y over change in x.</u>

<u />

<em>Since this line is facing downward, we already know that the slope is negative.</em>

<em />

<u>To find the ratio, find the change in y and divide the change in x.</u>

<em>Change in y = -1</em>

<em>Change in x = 2</em>

<em />

<u>Change in y over change in x:</u>  <em>-1/2</em>

Answer:  Option B, -1/2

6 0
3 years ago
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