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3 years ago

Simplify the rational expression. State any restrictions on the variable. Please HELP

Mathematics

1 answer:

Eva8 [605]3 years ago

7 0

Answer:

(b) t-4 and t not equal 8

Step-by-step explanation:

$\frac{t^2-4t-32}{t-8}=\frac{(t+4)(t-8)}{t-8}=t+4\,\,\mbox{with}\,\,\,\,\,t-8\neq0\implies t\neq 8$

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Answer:

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Step-by-step explanation:

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She then inserted $500 back in with no money previously

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4 years ago

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For the x-values 1, 2, 3, and so on, the y-values of a function form

OlgaM077 [116]

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A. Decreasing linear

Step-by-step explanation:

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3 years ago

If 1 is a solution to g (X)=0 what is the other solution

Lana71 [14]

X can not = 0 because if I did your answer would not be a fraction it would be 0

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3 years ago

If in a right triangle, the given legs are a = 10 and b=16, then by using the Pythagorean Theorem find the hypotenuse, c.

Reika [66]

Answer:

$c=2\sqrt{89}$

Step-by-step explanation:

Pythagorean theorem is:

$c^{2} =a^{2} +b^{2}$

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3 0

3 years ago

Karina uses the system of equations below to compare the monthly utility costs in July and December for electricity, x, and natu

fiasKO [112]

Answer:

d. The cost of natural gas (y) = $0.83 per unit

Step-by-step explanation:

The explanation is shown below:-

the equation of system is:

750x + 17y = 141.61 (i)

300x + 30y =75.90 (ii)

as x indicates the cost of electricity and y indicates the costs of natural gas.

we will solve the both equation with the help of multiplication for (i) by 30 and for (ii) 75

$30\times (750x + 17y) 30\times 141.61\\\\$

after solve the above equation we will get

22,500x + 510y = 4248.3 (iii)

$75\times (330x + 30y) = 75\times 75.90$

after solve the above equation we will get

22500x + 2250y = 5692.5 (iv)

After deducting the equation (iii) and (iv) we will get

1740 y = 1444.2

After Dividing by 15 both sides,

116y = 96.28

So, Katrina simplify the above system using linear equation and reach at the equation that is

116 y = 96.28

By Division property of equality defines that divide the equal no. of both sides of an equation:

by Division of 116 to both sides of an equation, to get y:

$\frac{116y}{116} = \frac{96.28}{116}$

y = 0.83

So, the natural gas is $0.83 per unit

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3 years ago