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bonufazy [111]
3 years ago
5

Write an equation in slope intercept form of the line has a slope of 2/5 and a Y intercept of -7

Mathematics
1 answer:
inessss [21]3 years ago
6 0

Step-by-step explanation:

Slope (m) = 2/ 5

Y-intercept (c) = - 7

writing in slope intercept form

y = mx + c

y = 2/5 x - 7

Hope it will help :)

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Someone help me out please
uysha [10]

1 step (B): raise both sides of the equation to the power of 2.

(\sqrt{x+3}-\sqrt{2x-1})^2=(-2)^2,\\   (x+3)-2\sqrt{x+3}\cdot \sqrt{2x-1}+(2x-1)=4,\\ 3x+2-2\sqrt{x+3}\cdot \sqrt{2x-1}=4.

2 step (A): simplify to obtain the final radical term on one side of the equation.

-2\sqrt{x+3}\cdot \sqrt{2x-1}=4-3x-2,\\ -2\sqrt{x+3}\cdot \sqrt{2x-1}=2-3x,\\ 2\sqrt{x+3}\cdot \sqrt{2x-1}=3x-2.

3 step (F): raise both sides of the equation to the power of 2 again.

(2\sqrt{x+3}\cdot \sqrt{2x-1})^2=(3x-2)^2,\\ 4(x+3)(2x-1)=(3x-2)^2.

4 step (E): simplify to get a quadratic equation.

4(2x^2-x+6x-3)=(3x)^2-2\cdot 3x\cdot 2+2^2,\\ 8x^2+20x-12=9x^2-12x+4,\\ x^2-32x+16=0.

5 step (D): use the quadratic formula to find the values of x.

D=(-32)^2-4\cdot 16=1024-64=960, \\ \sqrt{D} =8\sqrt{5} ,\\ x_{1,2}=\dfrac{32\pm 8\sqrt{5}}{2} =16\pm 4\sqrt{5}.

6 step (C): apply the zero product rule.

x^2-32x+16=(x-16-4\sqrt{5}) (x-16+4\sqrt{5}) ,\\ (x-16-4\sqrt{5}) (x-16+4\sqrt{5}) =0,\\ x_1=16+4\sqrt{5} ,x_2=16-4\sqrt{5}.

Additional 7 step: check these solutions, substituting into the initial equation.

3 0
3 years ago
in 4.5 hours, 11.25 inches of snow fell suppose the same amount of snow fell each hour how much snow fell each hour
Julli [10]
If 11.25 inches snow fell in 4.5hrs,
Then for each hr how much snow fell?

So,
4.5 : 11.25
To find how many inches that fell per hour who would need to divide the number of inches by the numbers of hours

11.25 divided by 4.5 = 2.5

So the answer would be 2.5 inch was of snow per hour
6 0
3 years ago
Which of the following rational numbers is equal to 3 point 1 with bar over 1?
Alecsey [184]

Answer:

28/9

Step-by-step explanation:

22/9 = 2.444444...

24/9 = 2.66666...

26/9 = 2.88888...

28/9 = 3.1111111...

8 0
3 years ago
Read 2 more answers
Ashley deposits $500 into an account that earns 2% interest compounded 3 times per year. How much money will Ashley have in her
Vadim26 [7]
A=p (1+r/k)^kt
A=500×(1+0.02÷3)^(3×4)
A=541.50
5 0
3 years ago
Given the function f(x) square root x+1 -6choose the correct transformation.
Ahat [919]
Down 6
Left 1
I think hope it helps tho
5 0
3 years ago
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