What is the total cost of a sweatshirt if the regular price is $42 and the sales tax is 5.75%

Matilda is selling hand-painted vases at a craft fair. She will

sladkih [1.3K]

Answer:

14x>200+5.5, She must sell 15 or more vases

Step-by-step explanation:

14x>200+5.5

14x>205.5

x>14.68*

She must sell 15 or more vases

*You round up because you cannot sell a partial vase

7 0

3 years ago

3? - 7x + 4

Dennis_Churaev [7]

9514 1404 393

Answer:

C. 15x^4 -29x^3 +6x^2 +8x

Step-by-step explanation:

The answer choices differ in their coefficients of x^3 and x^2, so that is where we can focus our attention.

The multiplier only has x^2 and x terms in it, so the partial products that result in x^3 will be the x and x^2 terms of the multiplicand, respectively. That is, the x^3 term will be ...

(5x^2)(-7x) +(2x)(3x^2) = x^3(-35 +6) = -29x^3 . . . . . matches choices A and C

Similarly, the x^2 term will be ...

(5x^2)(4) +(2x)(-7x) = x^2(20 -14) = 6x^2 . . . . . matches only choice C

_____

<em>Additional comment</em>

In general, multiplying polynomials is an exercise in the use of the distributive property. Basically, every term of one polynomial is multiplied by every term of the other, and the like terms collected from the list of partial products.

When the product is of two quadratics, there are several partial products that get added to make any term except the first and last. Consider ...

(ax^2 +bx +c)(dx^2 +ex +g)

The x^4 term will be adx^4

The x^3 term will be (ae +bd)x^3

The x^2 term will be (ag +be +cd)x^2

The x term will be (bg +ce)x

The constant term will be cg.

For the product in this problem, g=0, and we're only concerned with the x^3 and x^2 terms in order to make a correct answer choice.

8 0

3 years ago

in a volleyball game a player on one team spikes the ball over the net when the ball is 10 ft above the court. The spike drives

fredd [130]

Answer:

t = 3.61 s

Step-by-step explanation:

First, let's gather all the data. We know that the initial height (yi) is 10 ft. The final height (y) would be 0, Now, the speed (V) is 55 ft/s

The expression to use, in this kind of exercise (or the model to follow) is:

y = -16t^2 + V*t + yi

You may wondering why we need to put V*t, this is because when you do the math and calculations, that expression becomes a distance.

Now, we have the speed, replacing data we have:

0 = -16t^2 + 55t + 10 (1)

This is a second grade, and we need to use the general formula to solve this which is:

t = -b ± √b^2 - 4ac / 2a

Where a, b and c are the coefficients of the expression (1), in this case, 16, 55 and 10.

Replacing data here we have:

t = -55 ± √(55)^2 - 4*(-16)*(10) / 2*(-16)

t = 55 ± √3025 + 640 / 32

t = 55 ± √3665 / 32

t = 55 ± 60.54 / 32 (2)

Now that we have (2), let's do the final math

t1 = 55 + 60.54 / 32 = 3.61 s

t2 = 55 - 60.54 / 32 = -0.17 s

As we can't use negative time, we should take the first value, and the correct answer will be 3.61 s.

6 0

3 years ago

What operation do you use when you are given the scale factor?

antoniya [11.8K]

Answer: Multiply or Divide

Step-by-step explanation: You can multiply or divide by the cube of the scale factor. To decide if you should multiply or divide, you should consider the value of the scale factor and if you are going from a larger to a smaller figure, or a smaller to a larger.

5 0

3 years ago

The perimeter of a rectangular swimming pool is 154m.Its length is 2m more than twice its breadth. What are the length and bread

TiliK225 [7]

$P = 154\\a = 2b + 2$