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2 years ago

Domain and range f(x) = -x 4+ x 2- x - 4

Mathematics

1 answer:

Allushta [10]2 years ago

8 0

Answer: $\mathrm{Domain\:of\:}\:-x^4+x^2-x-4\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

$\mathrm{Range\:of\:}-x^4+x^2-x-4:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\le \:-2.94521\dots \:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-2.94521\dots ]\end{bmatrix}$

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Hazel knits 5 centimeters of scarf eachnight. After 5 nights of knitting, how manycentimeters of scarf will Hazel have knit into

natta225 [31]

Answer:

Hazel will have knitted 25 centimeters of the scarf

SOLUTION

Problem Statement

We are told Hazel knits 5 centimeters of scarf every night for 5 nights. We are required to find the length of the scarf Hazel will have knitted after 5 nights.

Solution

We are told Hazel makes 5 centimeters of scarf every night. Thus, for each night up till 5 nights, we just need to add the length of scarf Hazel has made.

Let us count for each night.

Night 1:

Hazel makes 5 centimeters of the scarf.

Night 2:

Hazel makes extra 5 centimeters, which means she has made:

$\begin{gathered} (5+5)\text{centimeters} \\ =10\text{ centimeters} \end{gathered}$

Night 3:

Hazel makes extra 5 centimeters, which means she has made:

$\begin{gathered} (10+5)\text{centimeters} \\ =15\text{ centimeters} \end{gathered}$

NIght 4:

Hazel makes extra 5 centimeters, which means she has made:

$\begin{gathered} (15+5)\text{centimeters} \\ =20\text{ centimeters} \end{gathered}$

NIght 5:

Hazel makes extra 5 centimeters, which means she has made:

$\begin{gathered} (20+5)\text{centimeters} \\ =25\text{ centimeters} \end{gathered}$

Final Answer

Thus, Hazel will have knitted 25 centimeters of the scarf

5 0

1 year ago

How many terms are in 5x4-2x3+x-4

san4es73 [151]

I think that there are 4 termms if we condider onlu plus and minus as operators.

7 0

3 years ago

I’ll give you brainliest for the first person with an answer

raketka [301]

Answer:

1296mm^2

Step-by-step explanation:

Surface Area of the Rectangular Prism to the left on top of the box:

Area of square = lw, 9mm * 9mm = 81mm, then multiply by 2 because 2 of the squares are a part of the surface, giving 162mm^2

Area of a rectangle =lw, 9mm * 9mm = 81mm, then multiply by 2 again, because 2 rectangles are a part of the surface, giving 162mm^2

So, the total surface area of the rectangular prism to the left on top, is 324mm^2

Surface Area of the Triangular Prism:

Area of a triangle: 1/2bh, and our base length would be 12, because we have to subtract 9 from 21 since the base length of the triangle isn't stated. Anyways, A = 1/2bh, so A = 1/2(12)(9) = 54mm^2, but multiply by two, so we get 108mm^2.

Area of the rectangle: lw, so 15mm * 9mm = 135mm^2

So, the total surface area of the triangular prism is 243mm^2

Surface Area of the Rectangular Prism at the bottom:

Area of the long rectangles in front = lw, 21mm * 9mm = 189mm^2, multiply by 2, 378mm^2

Area of the rectangles to the side = lw, 9mm * 9mm = 81mm^2, multiply by 2, 162mm^2

Area of the rectangle at the very bottom = lw, 21mm * 9mm = 189mm^2

So, the total surface area of the rectangular prism at the bottom is 729mm^2

Add all the total surface areas of each shape to get the total surface area of the figure:

324mm^2 + 243mm^2 + 729mm^2 = 1296mm^2

The surface area of the figure above is 1296mm^2

4 0

2 years ago

Tad and his buddies drove to the orange bowl to see their favorite football team win the national championship because of heavy

GenaCL600 [577]

Answer:

7.2

Step-by-step explanation:

6 0

3 years ago

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Whotch inquilty is true

s344n2d4d5 [400]

Answer:

answer choices??

Step-by-step explanation:

8 0

3 years ago