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2 years ago

If a=-3/2 b=5/4 and c=7/8 prove that a(b+c) = ab +ac. Thank you in advance

Mathematics

1 answer:

scoundrel [369]2 years ago

8 0

Answer:

You would figure this out by the method of substitution

Step-by-step explanation:

a= -3/2

b= 5/4

c=7/8

a(b+c) = a(b)+a(c)

Substitute

-3/2(5/4 +7/8) = -3/2(5/4)+-3/2(7/8)

-51/16 =-51/16

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Rory is playing a video game where each game lasts 1 3/4 hours he wants to play for 9 hours today and evening how many games can

sesenic [268]

Answer: He will play 5 games in 9 hours .

Explanation:

In $1\frac{3}{4}\text hours$ , he is playing 1 game

So, in 1 hour , he will play = $\frac{4}{7} games$

In 9 hours, he will play

$=\frac{4}{7}\times 9\\=\frac{4\times9}{7}\\=5.14$

Number of games can't be in decimals it must be in integers so we will take 5 only .

so he will play only 5 games in 9 hours .

6 0

2 years ago

On April 11, 2012, two earthquakes were measured off the northwest coast of Sumatra. The first had a magnitude of 8.6. The secon

Hoochie [10]

Answer:

Option D. 2.51 is correct.

Step-by-step explanation:

Magnitude of first earthquake = 8.6

Let intensity of first earthquake be x

$Magnitude = \log(\frac{x}{S}),\text{ where S is seismographic factor}\\\\\implies 8.6=\log(\frac{x}{S}).......(1)$

Magnitude of second earthquake = 8.2

Let intensity of second earthquake be y

$Magnitude = \log(\frac{y}{S}),\text{ where S is seismographic factor}\\\\\implies 8.2=\log(\frac{y}{S}).......(2)$

Now, to find the factor by which intensity of first earthquake is greater than intensity of second : we divide equation (1) by equation (2)

$\implies\log(\frac{x}{y})=8.6 - 8.2\\\\\implies \log(\frac{x}{y})=0.4\\\\\implies\frac{x}{y}=10^{0.4}\\\\\implies\frac{x}{y}=2.51$

Hence the required factor is 2.51

Therefore, Option D. 2.51 is correct.

4 0

3 years ago

Sue's teacher asked her to find 42.6 divided by ten to the power of two. How many places and in which direction should Sue move

algol [13]

Hey You!

Ten to the power of two = 100

So, when 42.6 is divided by 100, Sue should move the decimal 2 places to the left (before the 4).

42.6 ÷ 100 = 0.426

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3 years ago

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What is the complete factorization of the polynomial function over the set of complex numbers?

quester [9]

Answer:

f(x)=(x-2)(x+2)(x-5)

Step-by-step explanation:

f(x)=x³-5x²+4x-20 1. Just group randomly

f(x)=x²(x-5)+4(x-5) 2. Factor the groupings

f(x)=(x²+4)(x-5)

<u>f(x)=(x-2)(x+2)(x-5)</u> 3. Factor the difference of two squares

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3 years ago

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(3x^2y^6)^7<br> please help me

DerKrebs [107]

Answer:

I'm not sure but I think the answer is 2187 X^ (14) Y^ ( 42)

Step-by-step explanation:

(3x^2y^6)^7

3^(7) x (X^)^(7) x ( Y ^(6)^(7)

= 2187 X^ 14)Y^( 42)

5 0

3 years ago