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3 years ago

Abigail has 16 apples she eats 2 apples per day.let y be the apples remaining as a function of the number of week,x

Mathematics

1 answer:

Greeley [361]3 years ago

3 0

Answer:

Let X be the number of weeks.

2x - 16 = 14

we add 16 on both sides.

2x = 30

now we divide 2 on both sides to get rid of the 2 to the x, we want to get x on its own.

X = 15

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Which side lengths below DO NOT produce a right triangle?

tresset_1 [31]

C 3*3 = 9 6*6=36 and 36 plus 9 is 45 and 9*9 = 81 so it’s not equal and not right.

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3 years ago

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Karen measured a hotel and made a scale drawing. A room in the hotel, which is 10 feet wide in real life, is 2 inches wide in th

xz_007 [3.2K]

10 feet is 120 inches. If 2 inches represents 120 inches, then the scale is 120/20 or 1inch scale = 60 inches = 5 feet

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3 years ago

Write y = x2 + 24x + 144 as a square of binomial.

irina1246 [14]

Answer:

$y=(x+12)^2\\$

Step-by-step explanation:

To write a quadratic equation into binomial form we can compare the equation into the completing square form of a quadratic equation like this ,

$y=a(x-h)^2+k$

now since,

$y=x^2+24x+144$

we can equate both the equations from left hand side to right hand side like this,

$x^2+24x+144=a(x-h)^2+k\\$

now we solve,

$x^2+24x+144=a(x-h)^2+k\\x^2+24x+144=a((x)^2-2(x)(h)+(h)^2)+k\\x^2+24x+144=a(x^2-2hx+h^2)+k\\x^2+24x+144=ax^2-2ahx+ah^2+k\\$

now we compare the coefficients of x^2:

$1 = a\\$

now we compare the coefficients of x :

$24=-2ah\\24=-2(1)h\\24=-2h\\\frac{24}{-2}=h\\-12=h\\$

now we compare the constants , (constants are the letters which are not associated with any variable in this case the variable is x)

$144 = ah^2+k\\144=(1)(-12)^2+k\\144=(1)(144)+k\\144=144+k\\144-144=k\\0=k\\$

so now the value we got all the values for the completing square form we plug those in , a = 1 , h = -12 , k = 0 ,

$y=a(x-h)^2+k\\y=1(x-(-12))^2+0\\y=(x+12)^2\\$

this is the square of a binomial, if you want to verify if we expands this formula by the formula of (a + b)^2 we would get the same result. Thus this is the correct answer.

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2 years ago

Caitlin has cut out a square piece of graph paper that contains a total of 81 blocks.How many blocks are there along one side of

FinnZ [79.3K]

Answer:

9 squares on each side of the square.

Step-by-step explanation:

$\sqrt{81}=\sqrt{9\times 9}=\sqrt{9^2}=9$

There are 9 equally sized blocks on one side of square piece of graph paper.

Best Regards!

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2 years ago

Camila had a large collection of basketball cards. She gave half of them to her friend Erin and a sixth of them to her brother.

Nookie1986 [14]

<span>450 Camila started with 450 cards. She gave Erin half of them (225) and her brother a sixth of them (75). She was left with 150 cards (450 - 225 - 75 = 150). If x = number of cards Camila started with, then x/2 = half the cards and x/6 = one sixth of the cards. 150 = number of cards left. This can be represented as: x - x/2 - x/6 = 150 Multiply by 6 and solve for x 6x - 3x -x = 900 2x = 900 x = 450 = number of cards Camila started with</span>

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3 years ago