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2 years ago

Which polynomials are in standard form

Mathematics

1 answer:

Mama L [17]2 years ago

5 0

Answer:

The second option, x^4 - 8x^2 - 16.

Step-by-step explanation:

Polynomials in standard form start with the highest degree, from greatest to least exponent. After all terms with exponents are in order, alphabetical variables are next. In this case there's only x. Last are constant terms, which are by itself, with no variable next to it/an exponent to the right of it.

x^4 - 8x^2 - 16 is in standard form because it follows the criteria above. 4 is the highest degree since it's the highest exponent in the polynomial expression, which is why it starts off with x^4. Other terms with lesser exponents are next. In this case, it's 8x^2 with the less exponent of 2. Finally, it ends with your constant term, -16.

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Rewrite the given equation in standard form. f(x) = 5x2

pickupchik [31]

Answer:

a = 5, b = -3 and c =1

Step-by-step explanation:

The standard form of a quadratic equation is expressed as;

f(x) = ax² + bx + c

Given the expression

f(x) = 5x² = 3x - 1

f(x) = 5x² - 3x + 1

Comparing with the general formula;

ax² = 5x²

a = 5

bx = -3x

b = -3

c = 1

Hence a = 5, b = -3 and c =1

6 0

3 years ago

How are all Quadrilaterals alike and how are they different?

patriot [66]

Here are some examples:
1: has two parallel lines
2:it is also a rectangle
3: has 4 sides
4: can have sides that are equal

3 0

2 years ago

The the surface area of a cylinder with radius R and height H is twice the product of Pi and the square of the radius plus twice

Y_Kistochka [10]

Concept:

(1) Curved surface area of cylinder = Circumference of the base × Height of cylinder

(2) Area of the base = Area of circle = π × (radius)²

(3) Circumference of the base = 2×π× (radius)

Consider a right circular cylinder as given in attached figure

Its height (AB) = H

Its radius (OC) = R

Now, we shall calculate the curved surface area of the cylinder (CSA)

(CSA) = Circumference of the base × Height of cylinder

(CSA) = 2×π×R × H = 2πRH -------(i)

Again, we shall calculate the area of the top and bottom circles

Area of the top and bottom (A) = 2× Area of circle

(A) =2×[ π × (radius)²]

or, (A) = 2×π×R² = 2πR²------------(ii)

Now, we shall calculate the surface area or total surface area of the cylinder.

SA = CSA + A

SA = 2πRH + 2πR²

or, SA = 2πR² + 2πRH

This is the required equation.

4 0

3 years ago

An isosceles trapezoid has a perimeter of 35 inches. Its shorter base measures 3 inches and its longer base measures 4 inches. T

ruslelena [56]

Answer: 14

Step-by-step explanation: Using the given information, we can say:

35 = 3 + 4 + x + x

35 = 7 + 2x

28 = 2x

14 = x

3 0

3 years ago

NEED HELP ASAP!!

Vlad1618 [11]

Answer:

The machine can make 24 soda bottles each minute

Step-by-step explanation:

We can find the number of bottles the machine can make using the slope formula

Mathematically, this can be given as;

m = (y2-y1)/(x2-x1)

m = (192-120)/(8-5) = 72/3

m = 24

4 0

2 years ago