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IgorLugansk [536]
3 years ago
10

Rewrite the equation in vertex form. Name the vertex and y-intercept. y=3/5x^2+30x+382

Mathematics
2 answers:
professor190 [17]3 years ago
8 0

Answer:

answers for completing squares

Step-by-step explanation:

1)d:-5/3,5/3

2)d:12.7

3)c:-1,-11

4)d:3/2+-sqrt69/6

5)a:y=3/5(x+5)2+21/5 vertex: (-5,21/5) y intercept (0,382)

Serga [27]3 years ago
7 0
<span>(y-7) = 3/5 (x+25)^2 so the y intercept is -7 and the vertex is 35

</span>
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If f(x) = 5 + 4(x - 4)?,<br> what is f(7)?
grigory [225]

Answer:

Let's solve for f.

x=5+4(x−4)f(7)

Step 1: Flip the equation.

28fx−112f+5=x

Step 2: Add -5 to both sides.

28fx−112f+5+−5=x+−5

28fx−112f=x−5

Step 3: Factor out variable f.

f(28x−112)=x−5

Step 4: Divide both sides by 28x-112.

f(28x−112)28x−112=x−528x−112

f=x−528x−112

Answer:

f=x−528x−112

3 0
3 years ago
A circular hedge surrounds a sculpture on a square base. The radius of the hedge is 6x. The side length of the square sculpture
andrey2020 [161]
Hi, thank you for posting your question here at Brainly.

Since the hedge is surrounding the square base, the area of the base can be determined by subtracting the area of the base from the hedge.

A = pi*r^2 - (4x)^2
A = pi*(6x)^2 - (4x)^2
A = 2x^2*(3pi - 2)

I hope I was able to answer your question. Have a good day.
6 0
3 years ago
Find the amount in an account if 7,650 is invested at 9.15 percent compounded quarterly for 8 years and 6 months
storchak [24]

We have been given that in an account an amount of 7,650 is invested at 9.15 percent compounded quarterly for 8 years and 6 months.

We will use compound interest formula to find our answer.

A=Pcdot(1+\frac{r}{n}) ^{nT},

Where, P= principle amount, A= amount after T years, n= period of compounding and r = interest rate (decimal).

Let us substitute our given values in our formula.

A=7650(1+\frac{0.0915}{4} )^{(8.5\times4)}  

A=7650(1+0.022875)^{34}

A=7650(1.022875)^{34}  

A=7650\cdot 2.15758136398

A=16505.4974    

Therefore, after 8 years and 6 months our amount will be 16505.497.


7 0
3 years ago
PppppppppppppppppHELPppppppp
zalisa [80]

Step-by-step explanation:

please mark me as brainlest

3 0
2 years ago
Read 2 more answers
The value of a $3000 computer decreases about 30% each year. write a function for the computers value V(t)
den301095 [7]

Answer:

Function for given situation is : V(t)=3000(0.70)^t

Value of computer after 4 years = $720.3.

Step-by-step explanation:

Given that the value of a $3000 computer decreases about 30% each year. Now we need to write a function for the computers value V(t). then we need to find about how much will the computer be worth in 4 years.

It clearly says that value decreases so that means function represents decay.

For decay we use formula:

A=P(1-r)^t

where P=initial value = $3000,

r= rate of decrease =30% = 0.30

t= number of years

A=V(t) = future value

so the required function is V(t)=3000(1-0.30)^t

or V(t)=3000(0.70)^t

Now plug t=4 years to get the value of computer after 4 years.

V(4)=3000(0.70)^4

V(4)=720.3

Hence final answer is $720.3.

7 0
3 years ago
Read 2 more answers
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