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Reptile [31]
3 years ago
9

Write an equation in slope-intercept form for the line that passes through (0, 1) and is perpendicular to the line whose equatio

n is y = 2x? Ay= -2x + 1 B y = 2x + 1 C y = x + 1 Dy=-%2x + 1​
Mathematics
1 answer:
loris [4]3 years ago
8 0

Answer:

y= -1/2 x + 1

Step-by-step explanation:

The line passes through point (0, 1) and is perpendicular to line with equation :

y=2x

Perpendicular lines are those that give -1 when the product of their slopes is calculated.

This means m₁ *m₂= -1

In this case, m₁=2, finding m₂ as;

m₁ * m₂ = -1

2  * m₂ = -1

      m₂ = -1/2

Using point  (0, 1),m₂ = -1/2, and imaginary line (x, y) then the equation of the line in slope-intercept form y= mx + b will be;

-1/2 = y-1/x-0

-1/2 x = y-1

1-1/2x = y

The equation will be ;

y= -1/2 x + 1

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Lance and Brandon purchased items at the sporting goods store and spent the same amount of money. Lance bought 18 shirts for his
Shtirlitz [24]

Answer:

$12.50

Step-by-step explanation:

18 - 12 = 6

Brandon bought 6 less than Lance and payed $75 dollars shoes.

That means that 6 shirts cost $75.

We need to divide 6 from 75

75/6 = 12.5

So each shirt costs $12.50.

Hope this helped

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4 years ago
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Lena [83]

Answer:

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identify the initial amount,a,and the growth factor,b,in each exponential function.Break b into (1+r)where r is the rate of grow
Alla [95]

Given function : y=1.05(1.46)^x

We need to identify a " initial amount", b "growth factor", r " rate of growth".

We know, exponential growth formula

y=a(b)^x, where a is initial amount, b is growth factor. On comparing with given function let us find values of a and b.

y=1.05(1.46)^x ⇔ y=a(b)^x.

We can see a= 1.05 and b = 1.46.

Now, b=1+r.

Therefore, 1+r =1.46.

Subtracting 1 from both sides, we get

1+r-1 =1.46-1

r = 0.46.

On converting 0.46 into percentage, we get

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Therefore, intial amount a = a= 1.05 , growth factor b = 1.46, and the rate of growth r= 46%.

5 0
3 years ago
21. The parent function of the following graph is f(x) = 2^x. What is the equation of the following graph?
Scorpion4ik [409]

Answer:

5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Can you help me please?! :)
UkoKoshka [18]
The answer is A
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