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3 years ago

Which point is the vertex of the quadratic function f(x)=x2−6x+8?

Mathematics

2 answers:

olya-2409 [2.1K]3 years ago

4 0

(3,-1)
It needs to be written in standard form before you try to solve it.

jarptica [38.1K]3 years ago

4 0

Another method!

Pvertex→(x,y)→(4,9)

Explanation:

Given: y=x2−8x+7

This is already in the form y=a(x2+ba)+c as a=1

So we can do this 'trick'

Applying x vertex=(−12)(ba)→(−12)(−8)=+4

To determine yvertex

Substitute for x=(−4) in the original equation giving:

yvertex=(4)2−8(4)+7

y vertex=+16−32+7=−9

You might be interested in

How many different ways can teams of four members be formed from a class of 20?

guapka [62]

Assuming you want to choose 4 people from the class of 20;

Begin by using the combinations formula;

20C4=4845 possibilities

Hope I helped :)

4 0

3 years ago

There is actually 2 questions

Zanzabum

Answer:

not sure but i need points

Step-by-step explanation:

6 0

3 years ago

A positive real number is 5 more than another. When - 10 times the smaller is added to the square of the larger, the result is 5

salantis [7]

Answer:

4√2 and 5+4√2

Step-by-step explanation:

Let the two numbers be x ad y

Smaller = y

Bigger = x

If a positive real number is 5 more than another, then;

x = 5 + y ... 1

When - 10 times the smaller is added to the square of the larger, the result is 57, then;

-10y + x² = 57 ...2

Substitute 1 into 2;

-10y + (5+y)² = 57

-10y + 25+10y+y² = 57

y²+25 = 57

y² = 57 - 25

y² = 32

y = √32

y = 4√2

Since x = 5 + y

x = 5 + 4√2

Hence rhe numbers are 4√2 and 5+4√2

8 0

2 years ago

Help me please!!!!!!!

Cerrena [4.2K]

Answer:

I have no idea.

Step-by-step explanation:

I failed geometry.

3 0

2 years ago

22. One kilometer is approximately 0.62 mile. What fraction represents this length?

bixtya [17]

Answer:

One kilometer is $\frac{31}{50}$ miles

Explanation:

To convert a decimal to a fraction:

1- Write the decimal as a fraction whose denominator is 1

2- Multiply both numerator and denominator by multiples of 10 to eliminate the decimal point

3- Simplify the fraction you have

Now, for the given problem:

The given decimal is 0.62, following the above steps:

Step 1:

$0.62 = \frac{0.62}{1}$

Step 2:

We have two digits after the decimal point, so to eliminate the decimal point, we will multiply the numerator and the denominator by 100

$0.62 = \frac{0.62}{1} * \frac{100}{100} = \frac{62}{100}$

Step 3:

We can note that, in the fraction obtained from step 2, both the numerator and the denominator are divisible by 2, so we simplify as follows:

$\frac{62}{100} = \frac{62/2}{100/2} =\frac{31}{50}$

Hope this helps :)

6 0

3 years ago