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2 years ago

Show all steps to find the product of -3x^3 + 2x - 4 and x^3 + x - 2.

Mathematics

1 answer:

Lana71 [14]2 years ago

7 0

Answer:

-3x^6 -x^4 +2x^3 -8x +8

Step-by-step explanation:

Use the distributive property 4 times.

(-3x^3 + 2x - 4)×(x^3 + x - 2)

= -3x^3(x^3 +x -2) +2x(x^3 +x -2) -4(x^3 +x -2) . . . . once

= -3x^6 -3x^4 +6x^3 +2x^4 +2x^2 -4x -4x^3 -4x +8 . . . . 3 more times

= -3x^6 +x^4(-3+2) +x^3(6 -4) +2x^2 +x(-4 -4) +8 . . . . group like terms

= -3x^6 -x^4 +2x^3 -8x +8

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Help me please i need this answered fast

Lana71 [14]

Answer:

Step-by-step explanation:

the one on the bottom because

the orientation of the points do not change

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2 years ago

A building has an entry the shape of a parabolic arch 84 ft high and 42 ft wide at the base, as shown below. A parabola opening

lara [203]

Answer:

Step-by-step explanation:

Because of the nature of the information we are given, we have no choice but to use the equation

$y=a(x-h)^2+k$

and solve for a.

We know by the info that the vertex is (0, 84). We also know that if the vertex is at the origin, and that the base is 42 feet wide, it spans 21 feet to the right of the origin and 21 feet to the left of the origin. That means that we have 2 coordinates from which we need to pick one for our x and y in the equation. I don't like negatives, so I am going to choose the coordinate (21, 0) as x and y. Because this parabola opens upside down, as archways of door openings do, our "a" value better come out algebraically as a negative. Let's see...From the vertex we have that h = 0 and k = 84. So filling in:

$0=a(21-0)^2+84$ and simplifying a bit:

0 = 441a + 84 and

-84 = 441a so

$a=-\frac{84}{441}=-\frac{4}{21}$ Good, a is negative. Your equation is, then:

$y=-\frac{4}{21}x^2+84$

3 0

2 years ago

Read 2 more answers

the radius of a standard baseball is about 3 in. about how many square in of horsehide required to cover 100 balls, to the neare

ipn [44]

Answer:

Step-by-step explanation:The surface area of a sphere (the shape of a baseball) is given by the formula, SA = 4 (pi) r^2. Given the circumference of the circle, you can solve for the radius.

The formula for circumference is C = 2 x pi x r.

So input 9 for C and solve. 9 = 2 x pi x r.

You will get that r is equal to about 1.43 in.

Now put that r value into the surface area equation: SA = 4 (pi) 1.43^2

You will get a surface area equal to about 25.7 in^2.

Now multiply that number by the number of baseballs you need to cover, 100.

I'll let you do that step by yourself since it's simple algebra and you're smart enough to figure it out ;)

3 0

3 years ago

EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

nata0808 [166]

Answer

diameter=18 cm

radius=18/2=9cm

Area of circle= pi r^2

 = 3.142*(9)^2

 =254.502 cm^2

Area of square= (l)^2

 =(18)^2

 =324 cm^2

Total shaded area= 324-254.502

 =69.498 cm^2

Hope it helps

Good luck on your assignment

7 0

2 years ago

Jennifer had $24 to spend on five pens. After buying them she had $14. How much did each pen cost?

Strike441 [17]

Answer:

Each pen costed $5.

Step-by-step explanation:

Simple, the coefficient (5) is the cost for one of the pens & the x is the amount of pens bought.

Hope this helped & please give me the brainliest if it did!

4 0

2 years ago