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3 years ago

Translate the following question into an equation (do not solve). What number is 99% of 33?

Mathematics

1 answer:

Georgia [21]3 years ago

4 0

Answer: 32.67

Explanation: Use multiplication to get this answer, and a basic hint is the word "of", that's a word in Mathematics for multiplying.

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AnnZ [28]

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3 years ago

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?

HACTEHA [7]

Answer:

Option (1)

Step-by-step explanation:

Fundamental theorem of Algebra states degree of the polynomial defines the number of roots of the polynomial.

8 roots means degree of the polynomial = 8

Option (1)

f(x) = (3x² - 4x - 5)(2x⁶- 5)

When we multiply (3x²) and (2x⁶),

(3x²)(2x⁶) = 6x⁸

Therefore, degree of the polynomial = 8

And number of roots = 8

Option (2)

f(x) = (3x⁴ + 2x)⁴

By solving the expression,

Leading term of the polynomial = (3x⁴)⁴

= 81x¹⁶

Therefore, degree of the polynomial = 16

And number of roots = 16

Option (3)

f(x) = (4x² - 7)³

Leading term of the polynomial = (4x²)³

= 64x⁶

Degree of the polynomial = 6

Number of roots = 6

Option (4)

f(x) = (6x⁸ - 4x⁵ - 1)(3x² - 4)

By simplifying the expression,

Leading term of the polynomial = (6x⁸)(3x²)

= 18x¹⁰

Degree of the polynomial = 10

Therefore, number of roots = 10

3 0

3 years ago

What is the substitution for 3x+4y^2 if x= -2 and y=3?

solniwko [45]

Answer:

Step-by-step explanation:

$3x+4y^2\\\\\text{Substitute the value of x = -2 and y = 3 to the expression:}\\\\3(-2)+4(3^2)\qquad\text{use PEMDAS}\\\\=-6+4(9)=-6+36=30$

5 0

3 years ago

There are 10 golf balls in a rectangular prism. Each golf ball has a diameter of 1.25 inches. Find the volume of the golf balls

lara31 [8.8K]

The answer is D.

The formula for the volume of a sphere is $\frac{4}{3} \pi r^{3}$

You would divide the diameter in half which would give you your radius (r).
Then you plug in the radius value to find the volume of ONE ball.
You would then multiply by 10 to find the volume of TEN golf balls.

D is the closest answer to the volume of ten golf balls

8 0

3 years ago

Lily, Louis, and Ben went to an arcade and won tokens for prizes. Louis won 4.5 times as many tokens as Ben. Lily won 8 more tok

lana66690 [7]

The expression that describes the number of tickets won by Lily is:

a = 8 + 4.5c where "a" is the number of tokens won by Lily and "c" is the number of tokens won by Ben

Solution:

Given that Lily, Louis, and Ben went to an arcade and won tokens for prizes

Let "a" be the number of tokens won by Lily

Let "b" be the number of tokens won by Louis

Let "c" be the number of tokens won by Ben

Given that Louis won 4.5 times as many tokens as Ben

So we can frame a equation as:

number of tokens won by Louis = 4.5 times as many tokens as Ben

number of tokens won by Louis = 4.5 x number of tokens won by Ben

$b = 4.5 \times c$

b = 4.5c

Given that Lily won 8 more tokens than Louis

number of tokens won by Lily = 8 + number of tokens won by Louis

a = 8 + b

Substituting the value of b = 4.5c in above expression

a = 8 + 4.5c

Thus the expression that describes how many tokens Lily won is found

7 0

3 years ago