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3 years ago

Find the sum of (8a + 2b - 4) and (3b - 5).

Mathematics

1 answer:

Vinil7 [7]3 years ago

7 0

8a + 2b - 4 + 3b - 5....combine like terms
8a + 5b - 9 <==

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What is 11x 26 and how do you solve it I reall To know.

Alika [10]

Answer:

286

Step-by-step explanation:

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3 years ago

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What is the range of the function: h(x)=x+1/x^2 - 7x+10

Elina [12.6K]

Answer:

(-∞, -1-(2/3)√2] ∪ [-1+(2/3)√2, ∞)

Step-by-step explanation:

To make it easier to differentiate, we'll rewrite the function as ...

h(x) = 2/(x-5) -1/(x-2)

Then the derivative is ...

h'(x) = -2/(x-5)^2 +1/(x-2)^2

This will be zero when ...

-2(x-2)^2 +(x-5)^2 = 0

-2(x^2 -4x +4) +(x^2 -10x +25) = 0

-x^2 -2x +17 = 0

x^2 +2x +1 = 17 +1

x +1 = ±√18 = ±3√2

x = -1 ±3√2

The values of the function at these locations are ...

h(-1-3√2) = -1 +(2/3)√2 ≈ -1.9428

h(-1+3√2) = -1 -(2/3)√2 ≈ -0.0572

Then the range of h(x) is ...

(-∞, -1-(2/3)√2] ∪ [-1+(2/3)√2, ∞)

5 0

3 years ago

Degrees kelvin K equals 273 plus degrees celsius C

luda_lava [24]

Try going with this method for that question ⬇⬇⬇⬇

k = 273 + C

5 0

3 years ago

What are the equations of the asymptotes of the rational function? Please explain. f(x)=<img src="https://tex.z-dn.net/?f=%5Cfra

tangare [24]

Answer:

vertical asymptote at x = 7

horizontal asymptote at y = 6

Step-by-step explanation:

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non-zero for this value then it is a vertical asymptote.

solve:

x − 7 = 0 ⇒ x = 7 is the asymptote

Horizontal asymptotes occur as

lim ,f(x)→ c(a constant)

x → ± ∞

divide terms on numerator/denominator by x

f ( x ) = 5/ x +6= 5 /x + 6

x/ x − 7 /x 1 − 7/ x

as x ± ∞ , f ( x ) → 0 +6

1 − 0

⇒ y = 6 is the asymptote

graph{((5)/(x-7))+6 [-20, 20, -10, 10]}

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3 years ago

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Write two expressions that are equivalent to 6(m + 2 + 7m)

Lynna [10]

Hey there!

You could $\bold{distribute}$ " $\bold{6}$ " into your terms

$\bold{6(m+2+7m)}$
$\bold{6(m)=6m}$
$\bold{6(2)=12}$
$\bold{6(7m))=42m}$

Next, you have to $\bold{combine}$ your $\bold{like-terms}$

$\bold{6m(and)42m}$
$\bold{12}$

$\bold{6m+42m=48m}$
The " $\bold{12}$ " stays the same since it doesn't have a like term in this equation
$\bold{\rightarrow48m+12}$

$\boxed{\boxed{\bold{Answer:48m+12}}}\checkmark$

Good luck on your assignment and enjoy your day!

~ $\bold{LoveYourselfFirst:)}$

8 0

3 years ago