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3 years ago

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The function for the cost of materials to make a hat is f(x)=1/2 x+1 where x is the number of hats. The function for the selling

price of those hats is g(f(x)) where g(x)=x+2 find the selling price of 10 hats???

1 answer:

il63 [147K]3 years ago

5 0

I hope this helps you

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5x - 7 = -12 <br> A) -1 <br> B) -25 <br> C) 1 <br> D) 25

alexira [117]

A) -1
Because it would be fine like this:
5x - 7 = -12
5x = -12 + 7
5x = -5
x = -5 / 5
x = 1

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3 years ago

2x + 2y = -2<br> 3x -2y = 12

PIT_PIT [208]

Answer:

$2x + 2y = - 2 \\ 3x - 2y = 12 \\ now \: add \: both \: equations \\ 2x + 2y + (3x - 2y) = - 2 + 12 \\ 2x + 2y + 3x - 2y = 10 \\ 5x = 10 \\ \frac{5x}{5} = \frac{10}{5} \\ x = 2 \\ \\ 2x + 2y = - 2 \\ 2 \times 2 + 2y = - 2 \\ 4 + 2y = - 2 \\ 2y = - 2 - 4 \\ 2y = - 6 \\ \frac{2y}{2} = \frac{ - 6}{2} \\ y = - 3 \\ now \: lets \: check \: whether \: this \: equation \: correct \\ 3x - 2y = 12 \\ 3 \times 2 - 2 \times - 3 = 12 \\ 6 + 6 = 12 \\ 12 = 12 \\ yes \: its \: correct$

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3 years ago

Determine all values of k for which the roots of the equation x^2-6x+k=0 are complex

MaRussiya [10]

Complex roots occur when b^2 - 4ac is negative.

So we have (-6)^2 - 4.1.k < 0
-4k < - 36
k > 9

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3 years ago

Which of the following descriptions represent the transformation shown in the image? Part 3b<br>

Igoryamba

Answer: d) none of the above

<u>Step-by-step explanation:</u>

Start at Black Triangle: B = (0, -4) C = (4, -1) D = (2, -5)

End up at Red Triangle: B = (2, 0) C = (-2, 3) D = (0, -1)

Rotation of 180°: (x, y) → (-x, -y)

Reflection across y-axis: (x, y) → ( -x, y)

Reflection across x-axis: (x, y) → (x, -y)

Reflection across x=1: (x, y) → (2 - x, y)

$a) \\\begin{array}{ccc}\qquad \text{(x, y)}&\text{Rotate 180}^o&\text{reflect across y-axis}\\B:\ (0, -4)&(0, 4)&(0,4)\\C: (4, -1)&(-4,1)&(4,1)\\D: (2, -5)&(-2,5)&(2,5)\end{array}$

$b) \\\begin{array}{ccc}\qquad \text{(x, y)}&\text{Rotate 180}^o&\text{reflect across x = 1}\\B:\ (0, -4)&(0, 4)&(2,4)\\C: (4, -1)&(-4,1)&(6,1)\\D: (2, -5)&(-2,5)&(4,5)\end{array}$

$c) \\\begin{array}{ccc}\qquad \text{(x, y)}&\text{Rotate 180}^o&\text{reflect across x-axis}\\B:\ (0, -4)&(0, 4)&(0,-4)\\C: (4, -1)&(-4,1)&(-4,-1)\\D: (2, -5)&(-2,5)&(-2,-5)\end{array}$

None of the given options transform the black triangle onto the red triangle.

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3 years ago

Membership at geno’s gym costs 30 a month plus 150 sign up fee. Membership at Rita’s gym cost 25 a month plus 200 sign up fee

Alexxandr [17]

Answer:

Step-by-step explanation:

A - at the 10th month the membership cost is the same

B - I would choose Rita's gym because after 12 months the cost is $10 less.

5 0

3 years ago

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