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nadya68 [22]
2 years ago
5

How do I decide if it’s a real solutions or extraneous solutions?

Mathematics
1 answer:
olga55 [171]2 years ago
3 0

Step-by-step explanation:

So you can check for extraneous solutions by plugging in the 5 and -2 as x.

Plug 5 in as x

5=\sqrt{3(5)+10}\\5=\sqrt{15+10}\\5=\sqrt{25}\\5=5

I'm not sure if this is exactly considered an extraneous solution, but I'm assuming it is, since technically the radical doesn't have a plus/minus in front of it, so it's the principle square root which means it only outputs the positive values. This would mean that the -2 wouldn't be a solution, since the principle square root doesn't output negative values, so it's a function, since if it outputted 2 values, then it wouldn't be a function by definition.

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Darya [45]
EFG is the same as angle KLM. therefore, it is the reflection of the angle KLM
8 0
3 years ago
Can you help me with this question?​
Masteriza [31]

Answer:

Step-by-step explanation:

1. A + B

2. 9 + u - 10

3. m - 2 / 2

3 0
3 years ago
Someone give me the answer
Butoxors [25]

a function that model the number of people that receives email in week t  is P(t)=37(4)^{\frac{t}{9.1}} .

<u>Step-by-step explanation:</u>

Here we have , Tobias sent a chain letter to his friends . The number of people who receives the email increases by a factor of 4 in every 9.1 weeks , and can be modeled by a function P, which depends on the amount of time t weeks . Tobias initially sent letter to 37 friends . We need to write a function that model the number of people that receives email in week t . Let's find out:

Basically it's an exponential function as

f(x) = e^{ax} , In question initial value is 37 & and for every 9.1 weeks there is increase in people by a factor of 4 i.e.

⇒ P(t)=37(4)^t

But , wait ! People increase in every 9.1 weeks not every week so modified equation will be :

⇒ P(t)=37(4)^{\frac{t}{9.1}}

Therefore , a function that model the number of people that receives email in week t  is P(t)=37(4)^{\frac{t}{9.1}} .

4 0
3 years ago
If an original price is 1,195 and increased to 2,075 what is the percent
Ivenika [448]
|1195 - 2075| = | - 880| = 880
1195 + 2075 = 3270 \div 2 = 1635
\frac{880}{1635} = 0.538226 \times 100 = 53.8226% difference
3 0
3 years ago
Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95cents​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​
choli [55]
Let x = no. of 10 oz cups sold
Let y = no. of 14 oz cups sold
Let z = no. of 20 oz cups sold
:
Equation 1: total number of cups sold:
x + y + z = 24
:
Equation 2: amt of coffee consumed:
10x + 14y + 20z = 384
:
Equation 3: total revenue from cups sold
.95x + 1.15y + 1.50z = 30.60
:
Mult the 1st equation by 20 and subtract the 2nd equation from it:
20x + 20y + 20z = 480
10x + 14y + 20z = 384
------------------------ subtracting eliminates z
10x + 6y = 96; (eq 4)

Mult the 1st equation by 1.5 and subtract the 3rd equation from it:
1.5x + 1.5y + 1.5z = 36.00
.95x + 1.15y+ 1.5z = 30.60
---------------------------subtracting eliminates z again
.55x + .35y = 5.40; (eq 5)

Multiply eq 4 by .055 and subtract from eq 5:
.55x + .35y = 5.40
.55x + .33y = 5.28
--------------------eliminates x
0x + .02y = .12
y = .12/.02
y = 6 ea 14 oz cups sold 

Substitute 6 for y for in eq 4
10x + 6(6) = 96
10x = 96 - 36
x = 60/10
x = 6 ea 10 oz cups

That would leave 12 ea 20 oz cups (24 - 6 - 6 = 12)

Check our solutions in eq 2:
10(6) + 14(6) + 20(12) =
60 + 84 + 240 = 384 oz

A lot steps, hope it made some sense! I hope this helps!! ;D

3 0
4 years ago
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