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Tatiana [17]
3 years ago
10

F (x) =2x -4; find f (-4)

Mathematics
1 answer:
NemiM [27]3 years ago
6 0

Answer:

f(-4) = -12

Step-by-step explanation:

f(x)=2x-4

To calculate f(-4), we need to substitute x in our equation above with -4:

f(x)=2x-4\\f(-4) = 2*(-4) - 4\\f(-4) = -8-4 = -12

Note that 2*(-4) = -8

Answer: f(-4) = -12

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The sum of two consecutive natural numbers is 525.<br> Find the numbers.
Luda [366]

Answer:

262 and 263 are consecutive natural numbers whose sum is 525.

Step-by-step explanation:

Natural number are a subset of real numbers consisting in positive integers (i.e. 1, 2, 3, 525) and two natural numbers are consecutive when distance between each other is equal to 1. (|x-y| = 1, \forall\,x,y \in \mathbb{N}) We can interpret the statement mathematically by means of the following expression:

x + y = 525

x = n

y = n+1

Where x, y, n \in \mathbb{N}.

This system is reduced to a single equation and solved afterwards:

n +(n+1) = 525

2\cdot n + 1 = 525

2\cdot n = 524

n = 262

Now we evaluate x and y to obtain the natural numbers:

x = 262

y = 263

262 and 263 are consecutive natural numbers whose sum is 525.

3 0
4 years ago
Graph the line that has a slope of 8 and includes the point (0,2).
Marrrta [24]
Graph the point (0,2). From there go up 8 points and right 1 point. Again, from the point (0,2) go down 8 points and left 1 point. Hope this helps!
4 0
3 years ago
GIVING OUT BRAINLIST ASAP
rosijanka [135]

Answer:

$276.25

Step-by-step explanation:

325 * 0.85 = 276.25

5 0
3 years ago
Read 2 more answers
Packages of mixed-colored socks contain 8 pairs of socks. In each package, there are 5 pairs of White socks. How many pairs of w
BabaBlast [244]

125 5 diced by 40 = 125


6 0
3 years ago
A cold tablet contains the following amounts of active ingredients: acetaminophen 325 mg, chlorpheniramine maleate 2 mg, and dex
kakasveta [241]

Answer:

The number of tablets that can be prepared is 3076.

Step-by-step explanation:

The total amount of active ingredients in the tablet is the sum of the amounts provided in the formula:

325 mg + 2mg+15 mg=342 mg

The percentages of each component in the formula are:

Acetaminophen:\frac{325mg*100}{342mg}=95.03%

Chlorpheniramine maleate:\frac{2mg*100}{342mg} =0.58%

Dextromethorphan hydrobromide:\frac{15mg*100}{342mg}=4.39%

If 1 Kg=10^{6} mg of acetaminophen is used, the needed amount of chlorpheniramine maleate would be:

\frac{10^{6} mg *0.58}{95.03}=6153.85 mg

Since there are 125 g = 125000 mg of chlorpheniramine maleate, there is enough of these ingredient to run the available acetaminophen out. Thus, the total amount of active ingredients that can be prepared with 1 kg of acetaminophen is:

\frac{10^{6}mg*100}{95.03}=1052307.7mg

Since each tablet weighs 342 mg, the number of tablets that can be prepared is:

\frac{1052307.7mg}{342mg}=3076.923

Which means that 3076 tablets can be prepared and a there will be a remanent of 0.923*342 mg = 315.69 mg of active ingredients.

7 0
3 years ago
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