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2 years ago

What is the vertex of the quadratic function f(x)=(x-6)(x+2)

Mathematics

1 answer:

Neporo4naja [7]2 years ago

5 0

Answer: ( 2, -6 )

Step-by-step explanation:

rewrite y= (x-6)(x+2) in the form y=ax^2+bx+c

Y=(x-6)(x+2)

(x-6)(x+2): x^2-4x-12

y=x^2-4x-12

the parabola params are :

a=1, b= -4, c=-12

x^v=-(-4)/ 2*1

x^v=2

y^v=-16

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You are dealt one card from a standard 52-card deck find the probability of being dealt an ace or an 8

Firdavs [7]

there are 4 Aces and 4 8's for a total of 8 cards

52 cards in a deck

so probability of picking an Ace or 8 = 8/52

6 0

3 years ago

An angle measures 43°. Find the measure of its supplement and the measure of its complement

Varvara68 [4.7K]

Answer:

supplement: 137

complement: 47

Step-by-step explanation:

Supplement is two angles that equal 180, so just subtract 43 from 180.

complement is two angles that equal 90, so 90-43=47

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2 years ago

if £2000 is placed into a bank account the pays 3percent compound interest per year, how much will be in the account after 2 yea

Nastasia [14]

Answer:

£2,120.00

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year.

Solving our equation:

A = 2000(1 + (0.03 × 2)) = 2120

A = $2,120.00

The total amount accrued, principal plus interest, from simple interest on a principal of £2,000.00 at a rate of 3% per year for 2 years is £2,120.00.

8 0

3 years ago

Which of the following shows the division problem??

elena-14-01-66 [18.8K]

we are given

$\frac{3x^2-4x+9}{x-2}$

we can see that

numerator is

$3x^2-4x+9$

and denominator is

$x-2$

We always put coefficient of numerator inside box

we can see that coefficient of numerators are 3 , -4 and 9

and in the left side , we put value of x after putting denominator =0

$x-2=0$

$x=2$

so, left side will be 2

so, option-D..................Answer

7 0

3 years ago

Please help and show work

sweet-ann [11.9K]

Answer:

the tree is 8.8 m tall

I can't draw it but it will be two similar acute triangles. The one that represents the man will have a 2m height and a 5m base. The one that represents the tree will have an 8.8m height and a 22 m base.

Step-by-step explanation:

it's a proportional relationship

5/22=2/height

5(height)=2(22)

5(height)=44

divide both sides by 5

5(height)/5=44/5

height=8.8 m

3 0

3 years ago