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3 years ago

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14. NUTRITION A cookie contains 9 grams of fat. If you eat no fewer than 4 and no more than 7 cookies, how many grams of fat wil

l you consume?a cookie contains many grams of fat if you eat no fewer than four and no more than seven cookies how many grams of fat will you consume

1 answer:

ra1l [238]3 years ago

8 0

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Rewrite this standard form quadratic equation into vertex form by completing the square. Upload your work here to show your thin

Alex787 [66]

Solution :

Given the equation :

$y = x^2 - 6x+3$

$y=1(x^2 - 6x +n)+3$

$n = \left(\frac{b}{2}\right)^2$

$n = \left(\frac{6}{2}\right)^2$

n = 9

$y=1(x^2 - 6x +9-9)+3$

$y=1(x^2 - 6x +9)-9+3$

$y=1(x-3)^2- 6$

Therefore the vertex form of $y = x^2 - 6x+3$ is $y=1(x-3)^2- 6$ .

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3 years ago

Which of the following expressions are equivalent to \dfrac{-10}{3}

andreyandreev [35.5K]

Answer:

B

Step-by-step explanation:

I don't know how to explain it, but I hope I got it right and that it helped you.

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2 years ago

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Lionel created a picture to hang on his wall. The drawing is below. Each circle has a radius of 8cm. The circles touch each othe

Vikki [24]

Answer:

888888

Step-by-step explanation:

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2 years ago

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City planners anticipate an 8.2% population growth per year, including new residents and births. The population, in millions of

NNADVOKAT [17]

<h2>Hello!</h2>

The answer is:

The correct option is the third option,

$L(p(x))=2.425(1.082)^{x}$

<h2>Why?</h2>

From the statement we know the function that models the population growth over the years (p(x)) but we have been told that there is an estimated loss that can be modeled by the function L(p), so in order to find which function represents the final function, we need to composite the function, which is the same that evaluate p(x) into the function L(p).

We are given:

$p(x)=2.5(1.082)^{x}$

and

$L(p(x))=p(0.97)$

So, the evaluationg p(x) into L(p), we have:

$L(p(x))=p(0.97)\\\\L(p(x))=2.5(1.082)^{x}*(0.97)=0.97*2.5(1.082)^{x} \\\\L(p(x))=0.97*2.5(1.082)^{x}=2.425(1.082)^{x}\\\\L(p(x))=2.425(1.082)^{x}$

Hence, the correct option is:

The third option,

$L(p(x))=2.425(1.082)^{x}$

Have a nice day!

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3 years ago

Natalie consumes only apples and tomatoes. Her utility function is U(x, y) = x 2y 8 , where x is the number of apples consumed a

Kamila [148]

Answer:

16 apples.

Step-by-step explanation:

$U(x, y) = x^2y^8$

$MU_x =\frac{\partial U}{\partial x} = 2xy^8\\MU_y = \frac{\partial U}{\partial x} = 8x^2y^7\\$

Price of apples, Px=$4

Price of tomatoes, Py=$3

Ratio of their Marginal Utilities

$\frac{MU_x}{MU_y} = \frac{Px}{Py}$

$\frac{y}{4x} = \frac{4}{3}$

$y=\frac{16x}{3}$

Since Natalie’s income is $320

320 = xPx+yPy

$320=4x + 3*\frac{16x}{3} \\320= 4x+16x = 20x\\x=\frac{320}{20} = 16\\Also\\y=\frac{16x}{3}=\frac{16X16}{3}=\$85.33$

Since x=16, Natalie will consume 16 apples.

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3 years ago