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3 years ago

Need help with this question

Mathematics

1 answer:

podryga [215]3 years ago

5 0

Answer:

The bottom two

Step-by-step explanation:

Units of time should always be on the x-axis, otherwise a positive graph would mean a drop in the opposing y-axis unit.

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The number of cakes baked varies directly with the numbers of hours the caterers work. what is the ratio of cakes baked to hours

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3 years ago

Find the value of x when 5x + 6 - 2x = 9.

emmasim [6.3K]

5x+6-2x=9
3x+6=9
3x=3
x=1

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3 years ago

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Angle A is a right angle in △ABC. Which side is opposite angle C? side BC side AB side AC

Hunter-Best [27]

answer is side AB

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What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 27 − x^2? show your

LUCKY_DIMON [66]

Answer:

Option B.

Step-by-step explanation:

The given curve is

$y=27-x^2$

We need to find the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve $y=27-x^2$ .

Let the vertex in quadrant I be (x,y), then the vertex in quadrant II is (-x,y) .

Length of the rectangle = 2x

Width of the rectangle = y

Area of a rectangle is

$Area=Length\times width$

$Area=2x\times y$

Substitute the value of y from the given equation.

$Area=2x(27-x^2)$

$A=54x-2x^3$ .... (1)

Differentiate with respect to x.

$\frac{dA}{dx}=54-6x^2$

Equate $\frac{dA}{dx}=0$ , to find the critical points.

$0=54-6x^2$

$6x^2=54$

Divide both sides by 6.

$x^2=9$

$x=\pm 3$

The value of x can not be negative because side length can not be negative.

Substitute x=3 in equation (1).

$A=54(3)-2(3)^3$

$A=162-54$

$A=108$

The area of the largest rectangle is 108 square units.

Therefore, the correct option is B.

7 0

3 years ago

please solve the question and show your work what property is illustrated by 5(8-6) = 5x8-5x6 is it a. distributive property or

juin [17]

That is a display of the distributive property.

This is shown because when a number is written directly next to a set of parentheses, you must multiply each value inside the parentheses by the number on the outside.

In this case, 5(8-6) means that you must multiply 5 by 8, as well as by -6.

The right side of the equal sign in the given problem shows both of those steps separately, which is why it is a display of the distributive property. The correct answer is A.

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3 years ago