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4 years ago

PLEASE HELP 20! POINTS

Mathematics

1 answer:

mrs_skeptik [129]4 years ago

3 0

X1= -3/2

X2= 0

F(x)=4x^2+6x

To find X-intercept/zero, substitute f(x)=0

0=4x^2+6x

Move the constant to the right

4x^2+6x=0

Factor out 2x from the expression

2x(2x+3)=0

Divide both sides of the equation

2x(2x+3)/2=0/2

X(2x+3)=0

When the product of factors equals 0, at least one factor is 0.

X=0

2x+3=0

Next you solve for X by moving the constant to the right

2x=-3

Then divide both sides by 2

X=-3/2

Hope this answers your question.

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Simplify: -3(-5) - 16

sukhopar [10]

The operation which you should do first in the Simplification of the expression -3(-5) - 16 is -3 times -5. option A

Simplification

Based on the principle of BODMAS

B = Bracket

O = of

D = Division

M = Multiplication

A = Addition

S = Subtraction

-3(-5) - 16

open parenthesis

= 15 - 16

= -1

Therefore, the operation which you should do first in the Simplification of the expression -3(-5) - 16 is -3 times -5. option A

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brainly.com/question/723406

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2 years ago

This question is worth 50 points, make sure to provide ALL calculations without using a calculator, though.

Fed [463]

Answer:

Step-by-step explanation:

Use the formula for the volume of a cone:

V = (1/3)(area of base / round opening)(height of cone)

In this case we're interested in the following:

(1/3)(area of base / round opening)(height of cone) ≤ 535 cm³

First, mult. both sides by 3 to elim. the fraction 1/3:

(area of base)(height) ≤ 1605 cm³

Since the height is 8 cm, we now have:

(area of base) / (8 cm) = 1605 cm³, or

(area of base) = (1605 cm³) · (8 cm) = 200.625 cm²

The formula for the area of a circle is A = 3.14·r², where r is the radius.

If the area of the base is 200.625 cm², as found above, this equals 3.14r², and so

r² = (200.625 cm²) / (3.14) = 63.89 cm²

Then the radius must be +√63.89 cm, or 8 cm

and the diameter must be 2r = 2(8 cm) = 16 cm. This would be the largest width of the container.

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