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3 years ago

10 points! please help!

Mathematics

1 answer:

Aleksandr-060686 [28]3 years ago

8 0

Answer:

Step-by-step explanation:

6x^4+4x^2,fourth degree binomial

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For the following inequality, find a solution for the variable. Show all of your work and use complete sentences to explain the

timama [110]

Answer:

x ≤ -12

Step-by-step explanation:

To get x by itself you simply multiply both sides by 4, since 1/4 * 4 = 1.

5 0

3 years ago

On Tuesday, Hayley only has 15 cups of flour and 9 eggs, but she has more than enough butter and sugar. Which system of linear i

BabaBlast [244]

Missing part of the question

Hayley bakes zucchini bread and banana bread. Some ingredients Hayley uses for each type of bread are shown in the tables

Zucchini Bread

2 eggs 2 cups of flour 1.5 cups of sugar 0.5 stick of butter

Banana Bread

1 egg 3 cups of flour 2 cups of sugar 0.25 stick of butter

Answer:

$2z + b \le 9$

$2z + 3b \le 15$

Step-by-step explanation:

Given

$Flour = 15$

$Egg =9$

Since there are enough of other ingredients, we will only consider the amount of eggs and cups of flour.

So, we have:

Zucchini Bread

$Egg = 2$

$Flour = 2$

Banana Bread

$Egg = 1$

$Flour = 3$

For the eggs

The ratio of eggs to use in the Zucchini bread to Banana bread is:

$Egg = 2$ (z) : $Egg = 1$ (b)

This gives:

$2z + 1b$

The total number of eggs cannot exceed 9.

So, the inequality is:

$2z + 1b \le 9$

$2z + b \le 9$

For the flours

The ratio of flours to use in the Zucchini bread to Banana bread is:

$Flour = 2$ (z) : $Flour = 3$ (b)

This gives:

$2z + 3b$

The total cups of flours cannot exceed 15.

So, the inequality is:

$2z + 3b \le 15$

Hence:

The system of inequalities is:

$2z + b \le 9$

$2z + 3b \le 15$

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3 years ago

Exploring Slopes of Parallel and Perpendicular Lines - Item 32539

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3 years ago

Find an explicit rule for the nth term of the sequence.

otez555 [7]

This is a GS with first term -5 and common ratio = 5.
an = a1. r^(n -1)
= -5 . 5^(n - 1)

Its D

4 0

3 years ago

URGENT! PLEASE HELP!

DaniilM [7]

Answer:

Let's define the East as the x-axis, and the North as the y-axis

Now we can write the speed of the plane as:

(Vx, Vy)

Such that the total velocity of the plane is 350mph

This means that, if the plane flies at an angle of A degrees from the East, then:

Vx = 350mph*cos(A)

Vy = 350mph*sin(A)

We know that the speed of the wind is 65mph at 43° North from East.

This velocity, (Wx, Wy), can be written in components as:

Wx = 65mph*cos(43°) = 47.54 mph

Wy = 65mph*sin(43°) = 44.33 mph

Now, when the plane flies with the wind, the velocity of the plane will be equal to the velocity of the plane plus the velocity of the wind.

This is:

Velocity = (Vx, Vy) + (Wx, Wy) = (Vx + Wx, Vy + Wy)

The plane wants to keep going to the East, then the y-component must vanish (remember that the y-component is the one associated with the North)

Then we must have that:

Vy + Wy = 0

replacing the correspondent values, we have:

350mph*sin(A) + 44.33 mph = 0

350mph*sin(A) = -44.33 mph

Sin(A) = -44.33 mph/350mph

A = Arcsin(-44.33 mph/350mph) = -7.27°

This means that the plane must fly at -7.27° degrees North of East (Or 7.27° South of East)

That is the direction at which the plane must fly.

5 0

3 years ago