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Anna11 [10]
3 years ago
10

Simplify 9y^3 + 5y - 2y^2 + 8

Mathematics
1 answer:
Wittaler [7]3 years ago
8 0

Answer:

9y^3 - 2y^2 + 5y + 8

Step-by-step explanation:

I'm not completely sure though

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Keil is going to make 15 pounds of mixed nuts for a party. If Keil can spend ​$87.50 on nuts and peanuts cost ​$2.50 per pound a
pochemuha

Answer:

5 pounds of peanuts and 10 pounds of fancy nuts

Step-by-step explanation:

5*2.5=12.5

10*7.5=75

75+12.50=87.50

7 0
4 years ago
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I need help! Find the measure of the indicated angle to the nearest degree.
Bogdan [553]

Answer:

30

Step-by-step explanation:

let unknown angle = x

cos = adjacent / hypotenuse

adjacent of ? = 13

hypotenuse = 15

cos(x) = (13/15)

==> take inverse cos of both sides

x = 30 (rounded)

Note : hypotenuse = longest side and adjacent = side thats not the hypotenuse or opposite

4 0
2 years ago
HELP{
sertanlavr [38]

Answer: The correct conclusion is(B) The functions f(x) and g(x) are reflections over the y-axis.

Step-by-step explanation: Two functions f(x) and g(x) are given as follows:

f(x)=2^x,~~~~~~~g(x)=\left(\dfrac{1}{2}\right)^x.

We know that if f(-x) = g(x), then the functions are reflections over Y-axis and if - f(x) = g(x), then the functions are reflections over X-axis.

We have,

f(-x)=2^{-x}=\left(\dfrac{1}{2}\right)^x=g(x),\\\\-f(x)=-2^x\neq g(x).

So, the function g(x) is a reflection of f(x) over Y-axis.

The graph of f(x) and g(x) are drawn in the attached file. From there, it is clear that the functions are reflections over Y-axis, not reflections over X-axis.

So, options (A) is incorrect and option (B) is correct.

From the table, we have

f(-2)=\dfrac{1}{4},~~f(-1)=\dfrac{1}{2},~~f(0)=1,~~f(1)=2,~~f(2)=4,\\\\g(-2)=4,~~g(-1)=2,~~g(0)=1,~~g(1)=\dfrac{1}{2},~~g(2)=\dfrac{1}{4}.

So, as the value of 'x' increases, the value of f(x) increases and value of y(x) decreases.

Therefore, f(x) is an increasing function and g(x) is a decreasing function. So, option (C) is incorrect.

Also, we have

f(0)=g(0)=1.

So, both the functions have same initial value. So, option (D) is also incorrect.

Thus, the correct conclusion is (B) The functions f(x) and g(x) are reflections over the y-axis.

4 0
3 years ago
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3. When using set builder notation, what does it mean to 'Define a set'?
Furkat [3]

Answer:

A set is a well-defined collection of distinct mathematical objects.

7 0
2 years ago
30 points! Find the length of side x in simplest radical form with a rational denominator.
DiKsa [7]

Answer:

2 sqrt(3) = x

Step-by-step explanation:

We know that

sin theta = opp side / hypotenuse

sin 60 = x /4

Multiply each side by 4

4 sin 60 = x

We know

sin 60 = sqrt(3) /2

4 *  sqrt(3) /2 = x

2 sqrt(3) = x

5 0
3 years ago
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