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Neporo4naja [7]

2 years ago

5

Taylor buys bottles of nail polish that cost $3.95 each. She has a maximum of $30 to spend on nail polish purchases. The total c

ost, with respect to bottles purchased, can be modeled by a function. Which statement correctly defines the domain of the function?

1 answer:

wlad13 [49]2 years ago

3 0

Answer:

The domain is the set of all whole numbers greater than or equal to 0 and less than or equal to 8

Step-by-step explanation:

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Helppp mehh plzz..............

soldier1979 [14.2K]

Answer:

i think it A

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

(i) 3 (a + 5b) + a (a + 4) (ii) y (10 - y) + 3 (y - 2) (iii) 2 (8a - 5b) + 3 (5a - 12) (iv) 3 (y - 3) + ( 8 - 6y + x) (v) a (a -

AveGali [126]

Answer:

$3 (a + 5b) + a (a + 4) = a^2 + 7a + 15b$

$y (10 - y) + 3 (y - 2) = - y^2+13y - 6$

$2 (8a - 5b) + 3 (5a - 12) = 31a -10b - 36$

$3 (y - 3) + ( 8 - 6y + x) = -3y + x-1$

$a (a - 2b) + b (b + 2a - c) =a^2 + b^2 - bc$

$5 (x - y + z) + (4x + 3y) =9x - 2y +5z$

Step-by-step explanation:

Solving (i):

$3 (a + 5b) + a (a + 4)$

Open brackets

$3 (a + 5b) + a (a + 4) = 3a + 15b + a^2 + 4a$

Collect like terms

$3 (a + 5b) + a (a + 4) = a^2 + 4a+3a + 15b$

$3 (a + 5b) + a (a + 4) = a^2 + 7a + 15b$

Solving (ii)

$y (10 - y) + 3 (y - 2)$

Open bracket

$y (10 - y) + 3 (y - 2) = 10y - y^2 + 3y - 6$

Collect like terms

$y (10 - y) + 3 (y - 2) = - y^2+10y + 3y - 6$

$y (10 - y) + 3 (y - 2) = - y^2+13y - 6$

Solving (iii)

$2 (8a - 5b) + 3 (5a - 12)$

Open bracket

$2 (8a - 5b) + 3 (5a - 12) = 16a -10b + 15a - 36$

Collect like terms

$2 (8a - 5b) + 3 (5a - 12) = 16a+ 15a -10b - 36$

$2 (8a - 5b) + 3 (5a - 12) = 31a -10b - 36$

Solving (iv)

$3 (y - 3) + ( 8 - 6y + x)$

Open bracket

$3 (y - 3) + ( 8 - 6y + x) = 3y - 9 + 8 - 6y + x$

Collect like terms

$3 (y - 3) + ( 8 - 6y + x) = 3y - 6y + x- 9 + 8$

$3 (y - 3) + ( 8 - 6y + x) = -3y + x-1$

Solving (v):

$a (a - 2b) + b (b + 2a - c)$

Open bracket

$a (a - 2b) + b (b + 2a - c) =a^2 - 2ab + b^2 + 2ab - bc$

Collect like terms

$a (a - 2b) + b (b + 2a - c) =a^2 + 2ab- 2ab + b^2 - bc$

$a (a - 2b) + b (b + 2a - c) =a^2 + b^2 - bc$

Solving (vi)

$5 (x - y + z) + (4x + 3y)$

Open brackets

$5 (x - y + z) + (4x + 3y) =5x - 5y +5z+4x +3y$

Collect like terms

$5 (x - y + z) + (4x + 3y) =5x +4x +3y- 5y +5z$

$5 (x - y + z) + (4x + 3y) =9x - 2y +5z$

6 0

3 years ago

Can 5/9 be simplified

asambeis [7]

To a decimal you can round it down to .5 but if its a fraction no.

7 0

3 years ago

Read 2 more answers

What is the equation of the quadratic function represented by this table?

MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

I used logic and took the easy way around this as opposed to the long, drawn-out algebraic way. I noticed right off that at x = -3 and x = -1 the y values were the same. In the middle of those two x-values is -2, which is the vertex of the parabola with coordinates (-2, 4). That's the h and k in the formula I'm going to use. Then I picked a point from the table to use as my x and y in the formula I'm going to use. I chose (0, 3) because it's easy. The formula for a quadratic is

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

and I have everything I need to solve for a. Filling in my h, k, x, and y:

$3=a(0-(-2))^2+4$ and

$3=a(2)^2+4$ and

-1 = 4a so

$a=-\frac{1}{4}$

In work/vertex form the equation for the quadratic is

$y=-\frac{1}{4}(x+2)^2+4$

In standard form it's:

$y=-\frac{1}{4}x^2-x+3$

8 0

3 years ago

Janice scored 30% of the teams 50 points. How many points did Janice score?

Amiraneli [1.4K]

Answer:

The answer is 15.

Step-by-step explanation:

To find the percentage of something, you have to convert the percent to a decimal. 30 % as a decimal would be o.3. You would then multiply 0.3 by 50 which in turn, give you

15 points:)

8 0

3 years ago