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3 years ago

6 + p <4 solve and graph

Mathematics

2 answers:

Artyom0805 [142]3 years ago

7 0

Answer:

P2 + 2P - 24

Step-by-step explanation:

guajiro [1.7K]3 years ago

6 0

Answer:

harjot sinfh answer hai bro is

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Please Help!!

Genrish500 [490]

Given

$a\sqrt{x+b}+c=d$

we have

$\sqrt{x+b}=\dfrac{d-c}{a}$

Squaring both sides, we have

$x+b=\dfrac{(d-c)^2}{a^2}$

And finally

$x=\dfrac{(d-c)^2}{a^2}-b$

Note that, when we square both sides, we have to assume that

$\dfrac{d-c}{a}>0$

because we're assuming that this fraction equals a square root, which is positive.

So, if that fraction is positive you'll actually have roots: choose

$a=1,\ b=0,\ c=2,\ d=6$

and you'll have

$\sqrt{x}+2=6 \iff \sqrt{x}=4 \iff x=16$

Which is a valid solution. If, instead, the fraction is negative, you'll have extraneous roots: choose

$a=1,\ b=0,\ c=10,\ d=4$

and you'll have

$\sqrt{x}+10=4 \iff \sqrt{x}=-6$

Squaring both sides (and here's the mistake!!) you'd have

$x=36$

which is not a solution for the equation, if we plug it in we have

$\sqrt{x}+10=4 \implies \sqrt{36}+10=4 \implies 6+10=4$

Which is clearly false

7 0

3 years ago

The city of Anville is currently home to 16000 people, and the population has been growing at a continuous rate of 4% per year.

Nesterboy [21]

Answer

After 13.15 years the population of both towns will become equal.

Step-by-step explanation:

Population of the city Anville is given by using the compound interest formula

The formula of compound interest

A = p( 1+r/n)^n*t

using this we get

P1 = 16000 (1 + $\frac{0.04}{1}$ ) ^1*t

Population of the city of Brinker will be

P2 = 11000( 1 + $\frac{0.07}{1}$ ) ^1*t

now to make equal population in both towns

P1=P2

16000 (1 + $\frac{0.04}{1}$ ) ^1*t = 11000( 1 + $\frac{0.07}{1}$ ) ^1*t

$(\frac{1.04}{1.07} )^t = \frac{11}{16}$

t = 13.15 years

5 0

3 years ago

Your friend tells you that if you let her keep 2020 of your Pokemon cards for three months, she will give you 22 cards extra whe

Dmitrij [34]

Answer: 40 %

Step-by-step explanation:

Let the amount of one card = x

Hence, the value of 20 cards ( Principal amount ) = 20x

And, the value of 22 cards ( Total amount after 3 month ) = 22x

⇒ Total interest in 3 month = 22x - 20x =2x

Let the annual interest rate = r %

$\frac{20x\times r\times 3/12}{100}=2 x$ ( By the formula of simple interest rate )

$\implies \frac{10\times r\times 1/4}{100}=1$

$\implies \frac{10r}{400}=1$

$\implies 10r=400$

$\implies r=40\%$

Hence, the annual rate of interest = 40%

8 0

3 years ago

Find the exact value of sin 10pi/3

guajiro [1.7K]

Answer:

− √ 3 /2 or -0.86602540 ...

Step-by-step explanation:

4 0

3 years ago

The projected sales volume of a video game cartridge is given by the function s(p) = 3000 / (2p + a), where s is the number of c

Alex_Xolod [135]

Answer: 149 cartridges will be sold at 20 dollars per cartridge.

Step-by-step explanation:

Given: The projected sales volume of a video game cartridge is given by the function $s(p)=\dfrac{3000}{2p+a}$ , where s is the number of cartridges sold, in thousands; p is the price per cartridge, in dollars; and a is a constant.

Put s(p)=100000, p= 10, we get

$100000=\dfrac{3000}{2(10)+a}\\\\\Rightarrow\ 100=\dfrac{3}{20+a}\\\\\Rightarrow\ 100(20+a)=3\\\\\Rightarrow\ 2000+100a=3\\\\\Rightarrow\ 100a=-1997\\\\\Rightarrow\ a=-19.97$

i.e. $s(p)=\dfrac{3000}{2p-19.97}$

Put p=20, we get

$s(20)=\dfrac{3000}{2(20)-19.97}\\\\=\dfrac{3000}{40-19.97}\\\\=\dfrac{3000}{20.03}\approx149$

Hence, 149 cartridges will be sold at 20 dollars per cartridge.

8 0

3 years ago