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3 years ago

Which of the following is an extraneous solution of mc016-1.jpg? x = –6 x = –1 x = 1 x = 6

Mathematics

2 answers:

pentagon [3]3 years ago

7 0

[Incomplete question. I found the equation on other source:

√(-3X-2)=X+2]

Let’s find x:

√(-3X-2)=X+2

-3X-2=(X+2)²

-3X-2=x²+2*2*x+2²

-3X-2=x²+4x+4

-3X-2-x²-4x-4=0

-x²-7x-6=0

So now you should use Bhaskara formula. Unless your calculator makes for itself (some calculators do).

ax²+bx+c=0

x=(-b+-√(b²-4ac))/(2a)

a=-1

b=-7

c=-6

x=-1

or x=-6

Let’s verify -1

√(-3*(-1)-2)=-1+2

√(3-2)=1

√1=1

1=1 TRUE -> So -1 is a solution, not an extraneous solution

Let’s verify x=-6:

√(-3*(-6)-2)=-6+2

√(18-2)=-4

√16=-4

4=-4 FALSE –> So -6 comes from the equation but does not verify. So -6 is an extraneous solution. This is related to the fact that square roots have only 1 solution, whereas squares have 2 solutions (remember (-1)² is 1, and 1² is 1 as well, because of the rules of signs for multiplication).

alexdok [17]3 years ago

6 0

Answer:the answer is x=-1,x=7

Step-by-step explanation:

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For a party in kindergarten balloons of three colors were bought: red, green, and yellow. There were 40 red balloons, the number

gayaneshka [121]

Answer:

Total number of balloons is, 100

Part of them could be blown up , $\frac{19}{20}$

Step-by-step explanation:

Let the number of red balloons be x , number of green balloons be y and the number of yellow balloons be z respectively.

Given: Number of red balloons x = 40

y = $\frac{3}{5}x$ = $\frac{3}{5}\times 40=3 \times 8= 24$

and

$y = \frac{2}{3} z$

Multiply both sides by $\frac{3}{2}$ ;

$\frac{3}{2} y = \frac{2}{3} z \times\frac{3}{2}$

Simplify:

$z = \frac{3}{2} y$

Substitute the value of y = 24 to solve for z;

$z = \frac{3}{2} \times 24 = 3 \times 12 = 36$

Therefore, total number of balloons = x+y+z = 40+24+36 = 100 balloons.

Number of balloons popped = $\frac{1}{20}x + \frac{1}{12} y + \frac{1}{36} z$

Substitute the value of x, y and z we get;

Number of balloons popped = $\frac{1}{20} \times 40 + \frac{1}{12} \times 24 + \frac{1}{36} \times 36$ = 2+2+1 = 5

The number of balloons popped is 5.

Number of balloon that can be blown up = total number of balloon -number of balloons popped = 100 - 5 = 95.

The part of the balloons could be blown up is; $\frac{95}{100} = \frac{19}{20}$

8 0

3 years ago

Solve the equation 5h +2 -h = 22

astraxan [27]

Answer:

h=5

Step-by-step explanation:

5h +2 -h = 22

4h+2=22

4h=20

h=5

4 0

3 years ago

Read 2 more answers

1^5+3-(2×3^2)÷20÷4+2

vlabodo [156]

Answer:

5.775

Step-by-step explanation:

4 0

3 years ago

butalik [34]

Billy did $\frac{1}{3}$ of his homework on Friday and Saturday

Step-by-step explanation:

The given is:

Billy did 1/6 of his homework on Friday

He did 1/6 more on Saturday

Billy still had 4/6 to finish

We need to find how much of his homework Billy did on Friday and Saturday

∵ Billy did $\frac{1}{6}$ of his homework on Friday

∵ He did $\frac{1}{6}$ more on Saturday

∵ He still had $\frac{4}{6}$ to finish

- That means Billy divided his homework into six equal parts, he

did 2 of them and still had 4 parts to do them

∴ He did = $\frac{1}{6}+\frac{1}{6}=\frac{2}{6}$ of his homework

∴ He did 2 parts of the homework from 6 parts

- Simplify the fraction by dividing up and down by 2

∵ 2 ÷ 2 = 1 and 6 ÷ 2 = 3

∴ He did = $\frac{1}{3}$ of his homework

Billy did $\frac{1}{3}$ of his homework on Friday and Saturday

Learn more:

You can learn more about fractions in brainly.com/question/1648978

#LearnwithBrainly

3 0

4 years ago

What is 64 to the power of 1/6? please helpe

Softa [21]

64^1/6 is the same as the sixth root of 64. This is 2, since 2 times itself 6 times is 64. 2*2*2*2*2*2=64

7 0

4 years ago