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4 years ago

Evaluate the expression |3x-1| for x=-2

Mathematics

2 answers:

Gnesinka [82]4 years ago

6 0

Answer:

-7

Step-by-step explanation:

Step 1: Substitute -2 for x in the expression. Step 2: 3 x -2= -6 Step 3: -6-1=-7 Step 4: [ 3(-2)-1] Step 5: -6+-1=-7 Hopefully, this correctly answer your question! :) Thank you.

Andreyy894 years ago

3 0

The answer is 7
because the equation is |(3)(-2)-1|

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Solve the equation m²+4m=-2

UNO [17]

Step 1: Subtract -2 from both sides.
m2+4m−(−2)=−2−(−2)
m2+4m+2=0
Step 2: Use quadratic formula with a=1, b=4, c=2.
m=−b±√b2−4ac2a
m=−(4)±√(4)2−4(1)(2)2(1)
m=−4±√82
m=−2+√2 or m=−2−√2

4 0

4 years ago

Read 2 more answers

Let f(x)=x+3 and g(x)=1/x. The graph of (f*g)(x) is shown below.

Vlad [161]

For this case we have the following functions:
$f (x) = x + 3

g (x) = 1 / x$ When composing the functions we have:
$(fog) (x) = f (g (x))
$
Substituting values we have:
$(fog) (x) = ((1 / x) +3)
$
Rewriting:
$(fog) (x) = 1 / x + 3
$
The function has a horizontal asymptote at y = 3.
Therefore, the range of the function is all reals minus y = 3.
Answer:
option 3

3 0

3 years ago

A small business produces and sells balls. The fixed costs are $20 and each ball costs $4.32 to produce. Each ball sells for $8.

Gemiola [76]

Part 1:

Fixed Cost, f = $20

number of balls = n

Cost of each ball, c = 4.32

Price of each ball, p = 8.32

Equation for total cost:

Total Cost of balls will come by adding the cost of all balls and the fixed cost

Total Cost = number of balls made × Cost of each ball + fixed cost

C = 4.32n + 20

Equation for revenue:

Revenue = Number of balls made × price of each ball

R = 8.32n

Part 2:

Use the graphing method to determine how many balls must be sold to break even

Breakeven means Revenue = total Cost

This happens at a point (5,41.6) where n = 5 is the number of balls sold

and C = 41.6 is the total cost

When 5 balls are sold there will be breakeven

R = 4n - 20

C = 4.32n + 20

Red line represent Cost

Black line represent Revenue

5 0

4 years ago

Simplify the square root of 3 times the fifth root of 3.

bogdanovich [222]

Answer:

<h2>Three to the three fifths power.</h2>

Step-by-step explanation:

The given expression is

$\sqrt{3\sqrt[5]{3} }$

To simplify this expression, we have to use a specific power property which allow us to transform a root into a power with a fractional exponent, the property states:

$\sqrt[n]{x^{m}}=x^{\frac{m}{n}}$

Applying the property, we have:

$\sqrt{3\sqrt[5]{3}}=\sqrt{3(3)^{\frac{1}{5}}}=(3(3)^{\frac{1}{5}})^{\frac{1}{2}}$

Now, we multiply exponents:

$(3(3)^{\frac{1}{5}})^{\frac{1}{2}}\\3^{\frac{1}{2}}3^{\frac{1}{10}}$

Then, we sum exponents to get the simplest form:

$3^{\frac{1}{2}}3^{\frac{1}{10}}=3^{\frac{1}{2}+\frac{1}{10}} =3^{\frac{10+2}{20}}=3^{\frac{12}{20}} \\\therefore \sqrt{3\sqrt[5]{3}}=3^{\frac{3}{5} }$