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Tems11 [23]
2 years ago
13

Please help! Help Will Give 100 PTS

Mathematics
1 answer:
allochka39001 [22]2 years ago
7 0

Answer:

  x = 23; not extraneous

Step-by-step explanation:

A solution is extraneous if it does not satisfy the original equation. Extraneous solutions can sometimes be introduced in the process of solving radical and rational function equations.

<h3>Solution</h3>

Squaring both sides of the given equation, we get ...

  √(3x +12) = 9

  3x +12 = 81 . . . . . . square both sides

  x +4 = 27 . . . . . . . divide by 3

  x = 23 . . . . . . . . . . subtract 4

<h3>Check</h3>

There is only one solution, and it satisfies the equation:

  √(3×23 +12) = √81 = 9

The solution x = 23 is not extraneous.

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Which equation represents a line that has a slope of 1/3 and passes through point (–2, 1)?
Yuliya22 [10]

Answer:

The equation would be y - 1 = 1/3(x + 2)

Step-by-step explanation:

In order to find this, we simply plug the values we have into point slope form.

y - y1 = m(x - x1)

y - 1 = 1/3(x - -2)

y - 1 = 1/3(x + 2)

6 0
3 years ago
Can you guys help me with integers it these four problems for the first image do 18 and 19 for the second it’s 7 and 11 please h
xxMikexx [17]

Answer:

18. 20,000.

19. 0

7. 1

11. 101

Step-by-step explanation:

18. I think is stays the same, because an integer is a number that is not a fraction. So still 20,000.

19. Sea level is at zero altitude. So answer is 0.

7. |17-16| = |1| = 1. The lines around it are called absolute value signs and mean to make the answer positive.

11. |-101| = 101. As said before the lines mean to make the inside part positive.

6 0
3 years ago
Winnie adds the smallest 30 positive even numbers. Grogg adds the largest 30 odd negative numbers. How much greater is Winnie's
MaRussiya [10]

Answer:

1830

Step-by-step explanation:

Sum of smallest 30 positive even numbers is given by

2 + 4 + 6 + 8 + ......... up to 30 terms

= 2 ( 1 + 2 + 3 + 4 + ....... + 30)

= 2 \times \frac{1}{2} \times (30) \times (30+1) = 930

Again the sum of largest 30 odd negative numbers is given by

- 1 - 3 - 5 - 7 - ...... up to 30 terms.

= - (1 + 3 + 5 + 7 + ...... up to 30 terms)

{This is an A.P. series having first term 1, common difference 2 and the number of terms 30}

= -\frac{30}{2} [2 \times 1 + (30-1) \times 2]

= - 900

Now, Winnie has the sum 930 and Grogg has the sum - 900.

So, Winnie's sum is (930 + 900) = 1830 more than Grogg's sum. (Answer)

6 0
3 years ago
If the ordinate is three more than twice the abscissa and x {-1, 0, -}, which of the following sets of ordered pairs satisfies t
Greeley [361]
The abscissa is the x-coordinate of the ordered pair and the ordinate is the y-coordinate. The ordered pair is therefore given to be,
   (abscissa, ordinate)
or (x , y)

From the given, it is stated that the ordinate is three more than twice the abscissa. The ordered pair can therefore be written as,
  
  (x, 2x + 3)

If x = -1 then,
  y = 2(-1) + 3 = 1
Ordered pair : (-1, 1)

If x = 0
  y = 2(0) + 3 = 3
Ordered pair : (0, 3)

Hence, the answer to this is either the first choice or the second choice which appears to be just the same. 
7 0
3 years ago
Read 2 more answers
A circular plate has circumference 27.6 inches. What is the area of this​ plate?
jasenka [17]

Answer: 86.70

Step-by-step explanation:

3 0
3 years ago
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