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yan [13]
3 years ago
8

Find the equation of the line

Mathematics
1 answer:
Bad White [126]3 years ago
3 0

Answer:

y = -2x + 9

Step-by-step explanation:

The slope of the line can be found from 2 points.

(y2-y1)/(x2-x1)

7-3/1-3

4/-2

= -2

-2 is the slope.

The y-intercept is 9.

The equation of a line is y=mx+b.

m is the slope, and b is the y-intercept.

y = -2x + 9

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What is 2x -5y=9x+2x
sp2606 [1]
-5y=9x +2x -2x

-5y=9x

X= -5y/9
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3 years ago
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Derek kicks a soccer ball off the ground and in the air with an initial velocity of 31 feet per second. Using the formula H(t) =
Gekata [30.6K]
Given v=31 and s=0

<span>H(t) = -16t2 + vt + s
</span>
H(t) = -16t^2 + 31t

dH/dt = -32t + 31

<span>At the maximum height, dH/dt = 0

-32t + 31 =0

t = 31/32 = .96875

substitute back to H(t)
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H( .96875) = 15.0 ft

ans is C

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3 years ago
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What is the y-intercept of function f?
Nana76 [90]

Answer:

B

Step-by-step explanation:

When x=1, we will use the second equation

-(1)+1 = 0

8 0
3 years ago
a wildlife manager determines that the function y=200x1.07* represents the deer population at a state park x years after the pop
Kobotan [32]

Answer:

Table:

0,200

4, 262

8,344

12, 450

Population after 12 years is 450 deer

Initial population is 200 deer.

Step-by-step explanation:

You take the x in the table and plug it in as an exponent so you will need a calculator or multiple the 1.07 by that many times so 1.07 12 times multipled by itself. and the initial is 0 years so anything to the exponent of 0 is 1 so that show i got 200 for the x=0

8 0
3 years ago
Nathan invested $3,500 in an account paying an interest rate of 3.5% compounded
Gnom [1K]

Answer:

\text{Compounded Quarterly:}

Compounded Quarterly:

A=P\left(1+\frac{r}{n}\right)^{nt}

A=P(1+  

n

r

​  

)  

nt

 

Compound interest formula

P=3500\hspace{35px}r=0.035\hspace{35px}t=19\hspace{35px}n=4

P=3500r=0.035t=19n=4

Given values

A=3500\left(1+\frac{0.035}{4}\right)^{4(19)}

A=3500(1+  

4

0.035

​  

)  

4(19)

 

Plug in values

A=3500(1.00875)^{76}

A=3500(1.00875)  

76

 

Simplify

A=6786.05963486

A=6786.05963486

Use calculator

A\approx 6800

<h2>A≈6800</h2>

Step-by-step explanation:

3 0
4 years ago
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