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Tanya [424]
2 years ago
14

The graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k: a parabola with a vertex of 4, negative 2 What is the

value of k?
Mathematics
1 answer:
katrin [286]2 years ago
7 0

Answer:

k = -2

Step-by-step explanation:

f(x) = (x − h)² + k

(h, k) is the (x, y) coordinate of the vertex

For a vertex of (4, -2)

h = 4

k = -2

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True or False?In Exercise,determine whether the statement is true or false given that f(x) = In x.if it is false,explain why or
kompoz [17]

Answer:

The given statement is false.

Step-by-step explanation:

We are given the following in the question:

f(x) = \text{In } x

The given statement is

f(x - 2) = f(x) - f(2), x > 2

Putting the values on the right side of the given statement

f(x-2)\\=\text{ln }(x-2) \neq \text{ln }x - \text{ln }2

Thus, the given statement is false.

This can be explained with the help of an example:

For x = 3

f(x-2) = f(3-2) = f(1)\\=\text{ln }1 = 0\\f(x)-f(2)\\=\text{ln }3-\text{ln }2 \\=0.4054

6 0
3 years ago
Which ratio is equivalent to 8/32?<br><br> A. 2/4<br> B. 3/16<br> C. 1/4<br> D. 1/25
marusya05 [52]
The answer is C.1/4 I'm sure of it!

I hope that this helps you.

Have a great day. :)
5 0
3 years ago
Read 2 more answers
A rectangular building has a perimeter of 208 meters. It’s area is 2415 square meters. What are the dimensions of the building?
Zepler [3.9K]

Answer:

Step-by-step explanation:

Perimeter of rectangle = 208 m

2*(l + w) = 208  {divide both sides by 2}

l +w = 208/2

l +w = 104

l = 104 - w

Area of rectangle = 2415 square meters

l*w = 2415

Substitute l = 104 - w in the above equation,

(104 - w ) *w = 2415

104w - w² = 2415

0 = 2415 - 104w + w²

w² - 104w + 2415 = 0

Sum = -104

Product  = 2415

Factors = (-69) , (-35)

w² - 35w - 69w + (-69)*(-35) = 0

w(w - 35) - 69(w - 35) = 0

(w -35)(w -69)

w - 35 = 0    ; w  -69 = 0

w = 35    ; w = 69

The dimensions of the building: 35 , 69

7 0
3 years ago
How do i find x with this diagram
12345 [234]

Answer:

x=32

Step-by-step explanation:

that is an isosceles triangle, meaning 2 sides are the same and 2 anlges are the same.

each traingle = 180 degrees

3x+2(x+10)=180

3x+2x+20=180

5x=160

x=32

8 0
3 years ago
Jean-Pierre’s weekly restaurant bill dropped from $44.29 last weekly to $37.17 this week. Find the percent decrease. Round to th
RideAnS [48]

Answer:

16%

Step-by-step explanation:

Percent decrease means

Amount of change ÷ original amount, then × 100 to make it a percent.

44.29 is original $

37.17 is new$amount

44.29 - 37.17

= 7.12

The amount that it went down is 7.12

Percent decrease:

7.12/44.29 × 100

=0.159677 × 100

=15.9%

Round to nearest percent:

=16%

4 0
2 years ago
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