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2 years ago

Solve 4(x - 3) - 2(x - 1) > 0.

Mathematics

1 answer:

jok3333 [9.3K]2 years ago

6 0

Answer:

$x>5$

Step-by-step explanation:

Step 1: Simplify both sides of the inequality:

→ $2x-10>0$

Step 2: Add 10 to both sides:

→ $2x-10+10>0+10$

$2x>10$

Step 3: Divide both sides by 2:

→ $\frac{2x}{2}> \frac{10}{2}$

$x>5$

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What is the inverse of the function h(x)=\dfrac{5}{2}x+4h(x)= 2 5 x+4h, left parenthesis, x, right parenthesis, equals, start

Phantasy [73]

Answer:

The inverse of the function h(x) is $h^{-1}(x)=\frac{2}{5}x-\frac{8}{5}$ .

Step-by-step explanation:

The given function is

$h(x)=\dfrac{5}{2}x+4$

Replace h(x) by y.

$y=\dfrac{5}{2}x+4$

Interchange x and y.

$x=\dfrac{5}{2}y+4$

Subtract 4 from both sides to isolate variable y,

$x-4=\dfrac{5}{2}y$

Multiply both sides by 2.

$2x-8=5y$

Divide both sides by 5.

$\frac{2}{5}x-\frac{8}{5}=y$

Replace y by h⁻¹(x).

$h^{-1}(x)=\frac{2}{5}x-\frac{8}{5}$

Therefore the inverse of the function h(x) is $h^{-1}(x)=\frac{2}{5}x-\frac{8}{5}$ .

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2 years ago

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2 years ago

Which is longer 6ft or 7 in?

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Hello!

1 foot = 12 inches

12 × 6 = 72
_____________________________

ANSWER:

Since there are 72 inches in 6 feet, 6 feet are greater than 7 inches.

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2 years ago

Consider the kth iteration of the simplex method as defined in Algorithm 4.2 of the textbook. (a) Show that the matrix Ak+1, def

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Answer:

The solution and complete explanation for the above question and mentioned conditions is given below in the attached document.i hope my explanation will help you in understanding this particular question.

Step-by-step explanation: