The product of two integers is 96. One of them is-12, find the other numbers

Given that lim x → 2 f ( x ) = 1 lim x → 2 g ( x ) = − 4 lim x → 2 h ( x ) = 0 limx→2f(x)=1 limx→2g(x)=-4 limx→2h(x)=0, find the

VashaNatasha [74]

Answer:

According what I can read, I have the following statements:

$\lim_{x \to 2} f(x) = 1$

$\lim_{x \to 2} g(x) = -4$

$\lim_{x \to 2} h(x) = 0$

a) Applying properties of limits

$\lim_{x \to 2} f(x) + 5g(x) = \lim_{x \to 2} f(x) + 5 \lim_{x \to 2} g(x) = 1 + 5*-4 = -19$

b) Applying properties of limits

$\lim_{x \to 2} g(x)^{3} = {(\lim_{x \to 2} g(x))}^{3} = (-4)^{3} = -64$

c) Applying properties of limits

$\lim_{x \to 2} \sqrt{f(x)} = \sqrt{\lim_{x \to 2} f(x)} = \sqrt{1} = 1$

d) Applying properties of limits

$\lim_{x \to 2} 4*g(x)*f(x) = 4*\lim_{x \to 2} g(x)*\lim_{x \to 2} f(x) = 4*-4*1 =-16$

e) Applying properties of limits

$\lim_{x \to 2} g(x)*h(x) = \lim_{x \to 2} g(x)*\lim_{x \to 2} h(x) = -4*0 =0$

f) Applying properties of limits

$\lim_{x \to 2} g(x)*h(x)*f(x) = \lim_{x \to 2} g(x)*\lim_{x \to 2} h(x)*\lim_{x \to 2} f(x = -4*0*1 =0$

3 0

4 years ago

Maria is x old her sister is twice her age write an expression in simplest form that represents the sum of the ages of the two s

AlladinOne [14]

Answer:

x*2=y+x= both

Step-by-step explanation:

y would be her sister age, you would have to multiply Marias age by 2 to get her sisters age since her sister is twice her age then you have to add them together to get the sum of both their ages.

Example: maria is 16

16*2=32+16=48

so the sum of both of their ages is 48 (JUST AN EXAMPLE)

4 0

3 years ago

A Department store buys 300 shirts at the cost of $1800 and sells them for $10 each find the percent mark up rounded to the near

natka813 [3]

300 shirts = $1800
1 shirt = 1800 ÷ 300 = $6
Markup = $10 - $6 = $4
Percentage markup = 4/6 x 100 = 67% (Rounded to the nearest percentage)

5 0

4 years ago

What is the value of y in the triangle?

ycow [4]

Use trigonometry:-
sin 26.5 = y / 15 (as sin = adj / hyp)

y = 15 sin 26.5 = 6.69 feet to nearest hundredth

7 0

4 years ago

F(x) = ^3 Squared 3x g(x) = 32 + 2 Find (f/g) (x)

Lunna [17]

By applying the <em>functional</em> theory related to <em>binary</em> operations of functions, we conclude that the resulting expression is equal to $(f \,\circ \,g) (x) = \frac{\sqrt[3]{3\cdot x} }{3\cdot x + 2}$ .

<h3>How to find the expression of a division between two functions</h3>

In <em>functional</em> theory, there are five operations that can be used between two functions:

Addition - (f + g) (x) = f(x) + g(x)
Subtraction - (f - g) (x) = f(x) - g(x)
Multiplication - (f · g) (x) = f(x) · g(x)
Division - (f/g) (x) = f(x) / g(x)
Composition - (f ο g) (x) = f (g (x))

In this question we are asked to derive the expression of the division between two functions given. If we know that $f(x) = \sqrt[3]{3\cdot x}$ and g(x) = 3 · x + 2:

$(f \,\circ \,g) (x) = \frac{\sqrt[3]{3\cdot x} }{3\cdot x + 2}$

By applying the <em>functional</em> theory related to <em>binary</em> operations of functions, we conclude that the resulting expression is equal to $(f \,\circ \,g) (x) = \frac{\sqrt[3]{3\cdot x} }{3\cdot x + 2}$ .

<h3>Remark</h3>

The statement is poorly formatted and reports many typing mistakes. Correct statement is shown below:

Let $f(x) = \sqrt[3]{3\cdot x}$ and g(x) = 3 · x + 2. Find (f/g) (x).

To learn more on functions: brainly.com/question/12431044

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6 0

2 years ago

The product of two integers is 96. One of them is-12, find the other numbers​

The product of two integers is 96. One of them is-12, find the other numbers