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viva [34]
3 years ago
13

If f(x) = x2 – 1, and

Mathematics
1 answer:
Leokris [45]3 years ago
6 0

Answer:

Step-by-step explanation:

f(g(x))=(x+2)²-1

         =x²+4x+5

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Question 13 options:
natka813 [3]

Answer:

The jar has 32 dimes and 18 quarters

Step-by-step explanation:

<u>To solve this problem we can create a system of linear equations in terms of two-variables (say </u>x<u> and </u>y<u>) and solve it.</u> To begin let us analyze the problem further. We know that the values of each coin type are:

Dimes ( x )     = $0.10

Quarters( y )  = $0.25

Total Value   = $7.70

Total Coins   = 50

Now let us set up our system of equations as:

0.10x+0.25y=7.70      Eqn.(1)

x+y=50                     Eqn.(2)

Lets take Eqn.(2) and rerrange it to solve for x as:

x=50-y                     Eqn.(3)

Now lets plug this, in Eqn.(1) so we get the value of y as:

0.10(50-y)+0.25y=7.70\\\\5-0.10y+0.25y=7.70\\\\-0.10y+0.25y=7.70-5\\\\0.15y=2.7\\\\

y=\frac{2.70}{0.15} \\\\y=18

Plugging in y=18 back in Eqn.(3) we finally have:

x=50-18\\x=32

Thus we conclude that in the jar the coins are:

Dimes ( x ) =32

Quarters( y ) =18

6 0
4 years ago
To find how high school students feel about hot lunches, Adam walks to the nearest high school and gives a survey postcard to ev
Eddi Din [679]
The surveyor selects the twentieth student who enters the building. The student do not enter the building to be surveyed but for other reasons and the researcher take advantage of that and selects them. This is a form of continence sampling.
 The researcher selects every twentieth student and not any other. Therefore, the sampling is systematic in nature.
Finally, students selected to participate in the survey are free to choose if to participate in he survey or not. Therefore, it is voluntary kind of sampling.

Therefore, the applicable sampling methods are convenience, systematic, and voluntary.
3 0
3 years ago
Read 2 more answers
In order to increase the circumference of a circle from 12π cm to 18π cm, by how much must the diameter increase?
Vadim26 [7]

Answer:


Step-by-step explanation:

It's actually 6 cm. This is because the diameter of the smaller circle is 12pi/pi which is 12, and the diameter of the bigger one is 18pi/pi which is 18. 12 + 6 = 18, so the diameter increases by 6.

8 0
4 years ago
Read 2 more answers
5. An attacker swings a board with a mass of 2 kg toward a victim. The acceleration is 10 m/s2 when the board hits the victim. H
suter [353]

The force exerted on victim is 20 newton

<em><u>Solution:</u></em>

An attacker swings a board with a mass of 2 kg toward a victim

The acceleration is 10 m/s^2 when the board hits the victim

To find: Force exerted on victim

<em><u>The force is given by formula:</u></em>

F = mass \times acceleration

From given,

mass = 2 \text{ kg }\\\\Acceleration = 10 m/s^2

<em><u>Substituting the values in formula,</u></em>

Force = 2 \times 10 = 20

Thus force exerted on victim is 20 newton

6 0
3 years ago
Six candles cost $15.00. How many candles can you buy for $22.50?
seraphim [82]
9 candles because u have to divide 15 by 6 then divide 22.50 by the answer
5 0
3 years ago
Read 2 more answers
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