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Natali [406]
3 years ago
9

Given the function, g(x) = 2x2 − 16x + 15 ,how do i find the axis of symmetry?

Mathematics
1 answer:
hichkok12 [17]3 years ago
6 0
You can factorise the function to get 2 (x^2 - 8x + 7.5) and then complete the square to get 2(x - 4)^2 - 17. Because this shows that the graph has been moved 4 units to the right, the axis of symmetry is x=4.
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A club swimming pool is 21ft wide and 41ft long. The club members want a uniform width border around the pool. They have enough
oksano4ka [1.4K]

<u>Answer-</u>

<em>Strip with </em><em>2.13 ft </em><em>width can be used. </em>

<u>Solution-</u>

A club swimming pool is 21 ft wide and 41 ft long.

Hence, the perimeter of the swimming pool is

P=2(\text{Length}+\text{Width})=2(41+21)=2(62)=124\ ft

The club members want a uniform width border around the pool.

They have enough material for 264 ft²

As they will cover the perimeter of the rectangular pool, so the length of the total used strip is equal to the perimeter of the swimming pool.

Let the width of the strip is x ft

So, the total area of the used strip is,

A=\text{Length}\times \text{Width}

Putting the values,

\Rightarrow 264=124\times x

\Rightarrow x=\dfrac{264}{124}

\Rightarrow x=2.13\ ft

Therefore, strip with 2.13 ft width can be used.

4 0
3 years ago
Create a report about saving money to assist with the cost of the first year of college
andrew-mc [135]

we should save money to help others in need. i believe this because there are smart homeless kids out there who want and need an education. honestly do you want to be the person who gets a homeless person hooked on drugs because they don't have an education. and there are people with houses but they don't have the kind of money for college and if they do not get that scholarship. their life can take a turn for the worst. as for research 82% of people get hooked up on drugs because they lose their education an can not get a job. this can also lead to depression. that is one of strongest inside damage. it is worse than anxiety thats pretty bad.  And it is also how people end up on the streets. And also giving money means study supplies and if thy study their education will most likely get better!!

5 0
3 years ago
Find the length of the third side. If necessary, round to the nearest tenth
Lilit [14]

\huge\bold{Given:}

Length of the base = 8

Length of the hypotenuse = 17

\huge\bold{To\:find:}

The length of the third side ''x".

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

\longrightarrow{\purple{x\:=\: 15}} 

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

Using Pythagoras theorem, we have

(Perpendicular)² + (Base)² = (Hypotenuse)²

\longrightarrow{\blue{}} {x}^{2} + (8)² = (17)²

\longrightarrow{\blue{}} {x}^{2} + 64 = 289

\longrightarrow{\blue{}}  {x}^{2} = 289 - 64

\longrightarrow{\blue{}}  {x}^{2} = 225

\longrightarrow{\blue{}}  x = \sqrt{225}

\longrightarrow{\blue{}}  x = 15

Therefore, the length of the missing side x is 15.

\huge\bold{To\:verify :}

\longrightarrow{\green{}} (15)² + (8)² = (17)²

\longrightarrow{\green{}} 225 + 64 = 289

\longrightarrow{\green{}} 289 = 289

\longrightarrow{\green{}} L.H.S. = R. H. S.

Hence verified.

\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}

3 0
2 years ago
A pizza parlor sold 38 1/8 pizzas during a dinner hour. If each pizza contained 8 slices, how many slices of pizza were sold?
____ [38]
There were 312 slices of pizza sold
3 0
3 years ago
Read 2 more answers
A jar contains five red marbles and three green marbles. A marble is drawn at random and not
Alex787 [66]
5+3=8
Every time you draw, its minus one from denominator

1st marble red: 5/8

2nd marble green: 3/7
5 0
3 years ago
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