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BabaBlast [244]
1 year ago
15

Subtract. (3r²s+ 4rs+2-16r²s²) - (7sr²+10-13r²s²) Simplify answer. Do not factor

Mathematics
1 answer:
pentagon [3]1 year ago
7 0

[- 3r²s² - 4sr² + 4rs - 8] is the resultant answer when we subtract the linear equation (7sr²+10-13r²s²) from (3r²s+ 4rs+2-16r²s²).

<h3>What are linear equations?</h3>
  • A linear equation in one variable is a mathematical expression for an equation with only one variable.
  • While any two real integers can represent A and B, the ambiguous variable x has just one possible value.
  • The formula is Ax + B = 0.
  • 9x + 78 = 18 is an example of a linear equation with just one variable.

So, we have:

  • (3r²s+ 4rs+2-16r²s²) - (7sr²+10-13r²s²)

Now, calculate as follows:

  • = (3r²s+ 4rs+2-16r²s²) - (7sr²+10-13r²s²)
  • = 3r²s+ 4rs+2-16r²s² - 7sr²- 10 + 13r²s²
  • = 13r²s² - 16r²s²  - 7sr² +  3r²s + 4rs - 10 + 2
  • = - 3r²s² - 4sr² + 4rs - 8

Therefore, [- 3r²s² - 4sr² + 4rs - 8] is the resultant answer when we subtract the linear equation (7sr²+10-13r²s²) from (3r²s+ 4rs+2-16r²s²).

Learn more about linear equations:

brainly.com/question/11897796

#SPJ13

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The graph of F(x) shown below resembles the graph of G(x) = x4, but it has
DerKrebs [107]

Using translation concepts, the equation of F(x) is:

A. F(x) = \frac{1}{3}x^4 - 2

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is:

G(x) = x^4

For function F(x), we have that:

  • It was shifted down 2 units, hence F(x) = G(x) - 2.
  • It was vertically compressed by a factor of 3, hence F(x) = \frac{1}{3}G(x) - 2

Then the equation is:

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3 0
1 year ago
Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 29% each week. The following function represents
Dmitry [639]

Answer:

Option A. f(x)=86[1.04]^{x} ; grows approximately at a rate of 0.4% daily

Step-by-step explanation:

we have

f(x)=86(1.29)^{x}

where

f(x) the number of weeds in the garden

x ----> the number of weeks

Calculate how quickly the weeds grow each day

Remember that a week is equal to seven days

so

f(x)=86(1.29)^{\frac{x}{7}}

Using the law of exponents

b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x

so

f(x)=86[(1.29)^{\frac{1}{7}}]^{x}

f(x)=86[1.04]^{x}

therefore

The rate is approximately

1.04=1+r

r=1.04-1=0.04=4% daily

8 0
3 years ago
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