All categories

4 years ago

Write a real word problem with 8x=96

Mathematics

1 answer:

Shtirlitz [24]4 years ago

7 0

Answer:

You are at a store and you are want to buy a books for school. One book cost $8 and you were given a total of $96. What is the maximum amount of books can you buy.

Step-by-step explanation:

You might be interested in

I need help finding the y-intercept of these, I am no good with slope and tables. ;-;

zubka84 [21]

Answer:

1. -4

2. 6

3. -6

(i hope this is right •_•)

Step-by-step explanation:

First table

When the x coordinate is 0, that point is your y intercept. For the first one, your y intercept is -4.

Second table

For the second one, we need to do a bit of counting. We can see the x coordinates go before and after zero, but the table does not show us 0. So, we're going to have to calculate the slope. Bear with me here, I'm a little tired and this might be rambling ;-;

So, the formula for calculating slope is $\frac{y_{2} -y_{1}}{x_{2}-x_{1}}$ . I'm going to use those first two points to get my slope. We're going to say the first point is point 1 and the second point is point 2 (genius, i know lol). So, let's substitute in the x and y values.

$\frac{9-12}{-3-(-6)}$

And simplify...

$\frac{-3}{3}$

So, your slope is -1. We can use that. We just have to count down.

If the x is -2, the y is 8. If the x is -1, the y is 7. And if the x is 0....(drumroll please) the y is 6! So, your y intercept is 6.

Third table

Now, this table isn't very nice either and doesn't have an x as 0 for us. Hmpf. But we can still do what we did above. I'll just skip the explanation and you can observe my steps.

$\frac{-3-(-5)}{9-3}$

$\frac{2}{6}$

$\frac{1}{3}$

Let's count down....

If x = 3, y = -5

If x = 2, y = -5 1/3

If x = 1, y = -5 2/3

If x = 0, y = -6

8 0

3 years ago

1. Make sure your answers and work is SHOWN please and steps are in order.

JulijaS [17]

Been a while since I've done synthetic division.

1a. Let's assume that's supposed to be an equals sign

p(x) = 2x⁴ - 3x³ - 6x² + 5x + 6

possible rational roots have factors of 6 in the numerator and of 2 in the denominator. We'll only worry about negative numerators.

Factors of six: 1,2,3,6, and we don't forget -1,-2,-3,-6

Factors of 2: 1,2

Possible rational roots:

(dividing by 1:) 1,-1,2,-2,3,-3,6,-6

(dividing by 2:) 1/2, -1/2 (2/2=1 is a duplicate, don't have to repeat it), 3/2, -3/2

Possible rational roots: 1,-1,2,-2,3,-3,6,-6, 1/2, -1/2, 3/2, -3/2

Synthetic division, trying x=1,

1 | 2 -3 -6 5 6

2 -1 -7 -2

2 -1 -7 -2 4

Got a remainder of 4, so 1 isn't a root;

Trying x=-1

-1 | 2 -3 -6 5 6

-2 5 1 -6

2 -5 -1 6 0

Zero remainder, found a root, x=-1. This division says

(2x⁴ - 3x³ - 6x² + 5x + 6) / (x + 1) = 2x³ - 5x² - x + 6

Same set of rational roots on the cubic, we continue with x=2

2 | 2 -5 -1 6

4 -2 -6

2 -1 -3 0

Another zero remainder, x=2 is a root. We're left with 2x² - x - 3 = 0, which factors as

(2x - 3)(x + 1) = 0

That's a second factor of x+1. Our final factorization is

2x⁴ - 3x³ - 6x² + 5x + 6 = (x + 1)²(x-2)(2x - 3)

Fourth degree with a positive leading coefficient so goes to +infinity at both ends. Double zero at x=-1, so it's tangent there, just touching the x axis, then down through x=3/2 and up through x=2.

I'll leave the actually sketching and the other two polynomials to you -- that took some time.

4 0

3 years ago

Which statement is true? Select all that apply.

GarryVolchara [31]

Answer:

A. The relationship is proportional.

C. The slope is negative.

✓ A. The relationship is proportional.

-> We have a one to one proportion because the relationship is linear

✗ B. The slope is –6.

-> The slope is -3/2, not -3

-> We can pick a point, and then we count down 3 and over 2 to the next point

✓ C. The slope is negative.

-> Because the line is going from top left to bottom right the line is negative

✗ D. The y-intercept is –3.

-> The slope is -3/2, not -3

-> We can pick a point, and then we count down 3 and over 2 to the next point

✗ E. The equation of the line is y = –3x.

-> Again, the slope should be -3/2, not -3

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

3 0

3 years ago

Need help anyone know how to do this

Dmitry_Shevchenko [17]

X Coordinate: (-3a + 3a)/2
0/2 = 0

Y Coordinate: (b + b)/2
2b/2 = b

Midpoint: (calculated x, calculated y)

In this case, the midpoint should be (0, b)

3 0

3 years ago

What are the roots of the equation? x^2−x−42=0 Enter your answers in the boxes. x = and x =

Natasha_Volkova [10]

Your roots are x=7 and x=-6

8 0

3 years ago

Read 2 more answers