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2 years ago

I am confused about how to explain this: Explain the difference in meaning between |-3| and -3.

Mathematics

1 answer:

Ivahew [28]2 years ago

7 0

Answer:

Step-by-step explanation:

|-3| means the absolute value of -3. The absolute value sign means the number without its negative. The dictionary says: the magnitude of a real number without regard to its sign.

So |-3|= 3 and -3= -3

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Given that f(x) = 2x + 1 and g(x) = −5x + 2, solve for f(g(x)) when x = 3.

ANTONII [103]

$f(x)=2x+1 \\
g(x)=-5x+2 \\ \\
f(g(x))=2(-5x+2)+1=-10x+4+1=-10x+5 \\
f(g(3))=-10 \times 3+5=-30+5=-25 \\
\boxed{f(g(3))=-25}$

The answer is C.

4 0

3 years ago

Daniel goes out to lunch. The bill, before tax and tip, was $14.20. A sales tax of 8% was added on. Daniel tipped 24% on the amo

seraphim [82]

Answer: $19.02

Step-by-step explanation:

First find the sales tax paid. It will be paid on the cost of the meal:

= 14.20 * 8%

= $1.14

Then find the tip which was done after the sales tax was added:

= 24% * (14.20 + 1.14)

= 24% * 15.34

= $3.68

The total cost is:

= Gross amount + Sales tax + tip

= 14.20 + 1.14 + 3.68

= $19.02

3 0

3 years ago

Given the function f(x)=2x-1<br> Evaluate: <br>a) 2f(x) <br> b) f(2x)

Dmitrij [34]

Answer:

a) 2f(x) = 4x - 2

b) f(2x) = 4x - 1

Explanation:

Given function:

f(x) = 2x - 1

a) 2f(x)

2f(x) = 2(2x - 1)

= 4x - 2

b) f(2x)

f(2x) = 2(2x) - 1

= 4x - 1

3 0

1 year ago

Graph y > -1/3x+5<br><img src="https://tex.z-dn.net/?f=y%20%3E%20%20-%20%20%5Cfrac%7B1%7D%7B%203%20%7D%20x%20%2B%205" id="Tex

ad-work [718]

Explanation:

The function is $y>-\frac{1}{3} x+5$

To graph the function, let us find the x and y intercepts.

To find x-intercept, let us substitute y=0 in the function $y>-\frac{1}{3} x+5$

$\begin{aligned}0 &=-\frac{1}{3} x+5 \\-5 &=-\frac{1}{3} x \\x &=15\end{aligned}$

Thus, the x-intercept is $(15,0)$

To find the y-intercept, let us substitute x=0, we get,

$\begin{aligned}&y=-\frac{1}{3}(0)+5\\&y=5\end{aligned}$

Thus, the y-intercept is $(0,5)$

The graph has no asymptotes.

To plot the points in the graph, we need to substitute the values for x in the function $y>-\frac{1}{3} x+5$ , to find the y-values.

The points are $(-2,5.667),(-1,5.333),(1,4.667),(2,4.333),(3,4)$ . The image of the graph and table is attached below:

6 0

2 years ago

Please answer this math question.

Temka [501]

Multiply (x/6) by 6 to get common denominators and then you can simplify equation to 6x=15, divide each side by 6 answer is x=2.5 or 5/2

6 0

3 years ago