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kiruha [24]
3 years ago
5

Write the equation of the quadratic function in standard form represented by the graph

Mathematics
1 answer:
Nutka1998 [239]3 years ago
3 0
Hello : 
f(x) = <span>a(x-k)²+k....... the point vertex is (h , k )
in this exercice : h = -3 and k = -1    s0 f(x) = a(x+3)²-1
find : a 
but f(0)=8
a(0+3)² -1 = 8
9a-1=8
9a =9
a=1
f(x) =(x+3)²-1 =x²+6x+9-1
f(x) = x²+6x+8    .... (</span><span>the quadratic function in standard form )</span>

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a buret is a tool designed to transfer precise amounts of liquid .A buret initially contains 70.00 millimeters of a solution and
katrin [286]

Let:

Vbu= Volume of the buret

Vbk= Volume of the beaker

A buret initially contains 70.00 millimeters of a solution and a beaker initially contains 20.00 ml of the solution the buret drips solution into the Beaker. each drip contains 0.05 mL of solution, therefore:

x = Number of drips

a = volume of each drip

\begin{gathered} Vbu=70-ax \\ Vbk=20+ax \\ \text{where:} \\ a=0.05 \\ Vbu=70-0.05x \\ Vbk=20+0.05x \end{gathered}

after how many drips will the volume of the solution in the buret and beaker be equal ?​ Vbu = Vbk:

\begin{gathered} Vbu=Vbk \\ 70-0.05x=20+0.05x \\ \text{Solve for x:} \\ 0.1x=70-20 \\ 0.1x=50 \\ x=\frac{50}{0.1} \\ x=500 \end{gathered}

5 0
1 year ago
Elena made 10 ounces of apple chips. She puts the same amount of apple chips into each of 4 containers. How many ounces of apple
KiRa [710]

Answer:

2.5 ounces

Step-by-step explanation:

10 divided by 4 is 2.5

7 0
3 years ago
Simplify: √27 A. 3√3 B. 9√3 C. 3√9 D. 5√3
blagie [28]
To simplify square root 27, find two numbers that equal 27. But also, one of the numbers should be a perfect square (such as 4, 9, 36...). 

9*3=27. The square root of 9 is 3, which makes it a perfect square. So, the answer is A.
5 0
3 years ago
PLEASE HELP!!!!!!!!!!
kobusy [5.1K]
73 feet per second

Steps-
Miles to cover- 50 miles = 50*5280 feet = 264,000 feet
Time it takes- 1 hour = 1*60*60 seconds = 3,600 seconds

So speed is- 264,000 feet per 3,600 seconds = 264,000 / 3,600 = 73.33 ft per second
4 0
3 years ago
Trigonometry question! find the vaule of x. round to the nearest tenth!​
atroni [7]

Answer:

<h2>x = 88.2</h2>

Step-by-step explanation:

Look at the picture.

Use tangent:

tangent=\dfrac{opposite}{adjacent}

We have a measure of the angle and length of the adjacent:

\alpha=10^o,\ adjacent=500

\tan10^o\approx0.17633

Substitute:

\dfrac{x}{500}=0.17633             <em>multiply both sides by 500</em>

x=88.165\to x=88.2

8 0
3 years ago
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