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4 years ago

Use models to prove that 3 (a+b) is equivalent to 3a + 3b.

Mathematics

2 answers:

Novay_Z [31]4 years ago

6 0

E.g if a=2, b=3

3(2+3)
=3(5)
=15

3(2) + 3(3)
=6+9
=15

mezya [45]4 years ago

5 0

The 3 is distributed to the a+b inside the brackets........

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If f(x) = –x + 2, find f(4).

NeTakaya

Answer:

-2

Step-by-step explanation:

If you substitute x for 4, you have -4+2 to get -2.

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3 years ago

Consider two events, P and Q. The probability of event P occurring is 16. The probability of event Q occurring is 23. Which stat

garri49 [273]

The event "P and Q" is a compound event in the probability, and the true statement about the probability is P(P and Q) = 1/9

<h3>How to determine the true statement?</h3>

The probabilities are given as:

P(P) = 1/6

P(Q) = 2/3

The probability of the event P and Q is calculated using:

P(P and Q) = P(P) * P(Q)

This gives

P(P and Q) = 1/6 * 2/3

Evaluate the product

P(P and Q) = 1/9

Hence, the true statement about the probability is P(P and Q) = 1/9

Read more about probability at:

brainly.com/question/251701

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2 years ago

A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y equals = 100 100 minus −x squa

masha68 [24]

Answer:

Step-by-step explanation:

Given that a rectangle is constructed with its base on the x axis and two of its vertices on the parabola

$y=100-x^2$

This parabola has vertex at (0,100) and symmetrical about y axis.

Any general point above x axis can be written as (a,b) (-a,b) since symmetrical about yaxis.

Hence coordinates of any rectangle are

$(a,0) (-a,0), (a, 100-a^2), (-a, 100-a^2)$

Length of rectangle = 2a and width = $100-a^2$

Area of rectangle = lw = $2a(100-a^2)=200a-400a^3$

To find max area, use derivative test.

$A' = 200-800a^2\\A"=-1600a$

Hence maxima when first derivative =0

i.e. when a =2

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3 years ago

3(32 − 4 + 6 )− (82 + + 3) ?<br> simpilyfy<br> plzz

IrinaVladis [17]

Answer:

17 is your answer

Step-by-step explanation:

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3 years ago

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A solid oblique pyramid has a square base with edges measuring x cm. The height of the pyramid is (x + 2) cm. Which expression r

zavuch27 [327]

we know that

the volume of a solid oblique pyramid is equal to

$V=\frac{1}{3}*B*h$

where

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h is the height of the pyramid

in this problem we have that

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where

$B=x^{2}\ cm^{2}$

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substitute in the formula of volume

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therefore

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3 years ago

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