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3 years ago

15

Carlotta subscribes to the HotBurn music service. She can download no more than 11 song files per week. Carlotta has already dow

nloaded 8 song files this week. Write, solve, and graph an inequality to show how many more songs Carlotta can download.

1 answer:

IceJOKER [234]3 years ago

8 0

That is how I solved that :)

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Which of the following equations best describes a square root function that is reflected across the x-axis and has a vertex of (

Minchanka [31]

Answer:

C

Step-by-step explanation:

Rather than picking, let's try to construct one from the description.

reflected over the x axis means - $\sqrt{x}$

the vertex is usually at (0,0), now how do we move a graph? or in other words translating it.

To move left and right you use $\sqrt{x-h}$ where if you subtract h you move right and if you add h you move left. we go from (0,0) to (-4,2). so 0 to -4 is 4 left, so that means we add 4.

To move up and down we use $\sqrt{x}+v$ Here if v is positive you move up and if v is negative you move down. going from (0,0) to (-4,2) it moves up 2

So now we put them all together $-\sqrt{x+4}+2$ And if you look, C matches that exactly.

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3 years ago

Find a number C such that the polynomial p(x)= -x+4x^2+Cx^3-8x^4

Ksenya-84 [330]

Answer:

C = 2

Step-by-step explanation:

$p(x)= -x+4x^2+Cx^3-8x^4 \\ \\ \because \: given \: polynmial \: has \: zero \: at \: \\x = \frac{1}{4} \\ \\ \implies \: p\bigg(\frac{1}{4} \bigg) = 0...(1) \\ \\ plug \: x = \frac{1}{4} \: in \: p(x) \: we \: find \\ \\ p \bigg(\frac{1}{4} \bigg) = - \frac{1}{4} + 4 {\bigg(\frac{1}{4} \bigg)}^{2} + c {\bigg(\frac{1}{4} \bigg)}^{3} - 8 {\bigg(\frac{1}{4} \bigg)}^{4} \\ \\ 0 = - \frac{1}{4} + \cancel 4 \times {\frac{1}{\cancel{16} } } + c {\bigg(\frac{1}{64} \bigg)} - \cancel 8 \times \frac{1}{\cancel{256} } \\ \\0 =\cancel{ - \frac{1}{4}} + \cancel {{\frac{1}{4} }} + c {\bigg(\frac{1}{64} \bigg)} - \times \frac{1}{32} \\ \\0 = c {\bigg(\frac{1}{64} \bigg)} - \frac{1}{32} \\ \\c {\bigg(\frac{1}{64} \bigg)} = \frac{1}{32} \\ \\ c = \frac{1}{32} \times 64 \\ \\ c = 2$

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3 years ago

What is 3/9 in its lowest terms?

Eddi Din [679]

The fraction 3/9 is equivalent to 1/3.The fraction 3/9 is equal to 3÷9 and can also be expressed in decimal form as 0.333333.

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Step-by-step explanation:

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3 years ago

Wouk out (-5) + (-2)

PolarNik [594]

Answer:

-7

Step-by-step explanation:

-5 + -2 = is the same as -5 - (+2), so the answer is -7

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