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3 years ago

Determine the vertex and axis of symmetry for f (x) = 2(x+4) to the power of 2 + 1

Mathematics

1 answer:

RSB [31]3 years ago

4 0

Answer:

The vertex of the graph is at (-4,1) and thus leading the axis of symmetry be at x=-4.

Step-by-step explanation:

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The base of the triangle decreases by 30% and the height increases by 20%.

sergeinik [125]

Answer:

Area decreases by 16%

Step-by-step explanation:

Use formula for the area of the triangle

$A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}$

<u>Initial triangle:</u>

The base is 18 cm

The height is 5 cm

The area is

$A_{initial}=\dfrac{1}{2}\cdot 18\cdot 5=45\ cm^2$

<u>New triangle:</u>

The base is $(1-0.3)\cdot 18=0.7\cdot 18=12.6\ cm$

The height is $(1+0.2)\cdot 5=1.2\cdot 5=6\ cm$

The area is

$A_{new}=\dfrac{1}{2}\cdot 12.6\cdot 6=37.8\ cm^2$

Area decreases by

$100\%-\dfrac{37.8}{45}\cdot 100\%=100\%-84\%=16\%$

5 0

3 years ago

List all the factors of the number 48.

Anni [7]

The answer would be 1,2,3,4,6,8,12,16,24,48

hope this helps!

4 0

2 years ago

A proportional relationship betweeof potatoes (x) and the price in dollars (y) is graphed, and the ordered pair (4, 3) is on the

CaHeK987 [17]

4/3 = 1/x.....4 lbs potatoes to $3 = 1 lb of potatoes to $x
cross multiply
(4)(x) = (3)(1)
4x = 3
x = 3/4
x = 0.75....so 1 lb of potatoes cost 75 cents

(8,6)...this means 8 lbs of potatoes cost $6

7 0

3 years ago

A tennis club charges a monthly membership fee of $150 and charges it members $10 per hour to use a court. There\'s also $500 fe

Sophie [7]

The question is "What's Stella's opportunity cost of working on her serve for an hour?" The rest of the info looks like it's meant to confuse you. They charge $10 an hour. She values an hour of her time at $20. I believe that means she would pay $20. Hope this helps!

8 0

3 years ago

Please answer this for me

forsale [732]

Answer:

possibly z2-6 so try the third one

Step-by-step explanation:

8 0

3 years ago