All categories

3 years ago

Determine the vertex of the function f(x) = 2(x-4)^2+5

Mathematics

1 answer:

spayn [35]3 years ago

5 0

Answer:

(4,5)

Step-by-step explanation:

The vertex is written in vertex form.

y = a(x - b)^2 + c

Vertex: (b,c) Notice the sign change on b.

So for your equation, you get (4,5) No sign change on the 5.

You might be interested in

Write an expression from the description. Then

vodka [1.7K]

(-36 ÷ -4) + 9

The expression equals 18.

4 0

3 years ago

Find the value of this expression if x = -9.<br> x2 + 3<br> x +6

iren [92.7K]

Answer:

Step-by-step explanation:

x² + 3 = (-9)² + 3 { (-9)² = -9 *-9 = 81}

= 81 + 3

= 84

x + 6 = -9 + 6 = -3

7 0

3 years ago

Round this number to the nearest tenth 4.9675

MatroZZZ [7]

Add half a tenth.
.. 4.9675 +0.05 = 5.0175
Throw away all the digits to the right of the tenths digit.
.. 5.0

Your rounded number is 5.0

8 0

3 years ago

Item 21

Pavlova-9 [17]

Answer:

1st: 5x

2nd: 6ft

Step-by-step explanation:

I really don't know how just got the answer right.

5 0

3 years ago

Since 2003 median home prices in Midvale, UT have been growing exponentially at roughly 4.7 % per year. If you had purchased a h

Kipish [7]

Answer:

The home would be worth $249000 during the year of 2012.

Step-by-step explanation:

The price of the home in t years after 2004 can be modeled by the following equation:

$P(t) = P(0)(1+r)^{t}$

In which P(0) is the price of the house in 2004 and r is the growth rate.

Since 2003 median home prices in Midvale, UT have been growing exponentially at roughly 4.7 % per year.

This means that $r = 0.047$

$172000 in 2004

This means that $P(0) = 172000$

What year would the home be worth $ 249000 ?

t years after 2004.

t is found when P(t) = 249000. So

$P(t) = P(0)(1+r)^{t}$

$249000 = 172000(1.047)^{t}$

$(1.047)^{t} = \frac{249000}{172000}$

$\log{(1.047)^{t}} = \log{\frac{249000}{172000}}$

$t\log(1.047) = \log{\frac{249000}{172000}}$

$t = \frac{\log{\frac{249000}{172000}}}{\log(1.047)}$

$t = 8.05$

2004 + 8.05 = 2012

The home would be worth $249000 during the year of 2012.

8 0

3 years ago