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Alisiya [41]
3 years ago
13

Write as an inequality 9 is greater than or equal to w, and -7 is less than or equal to w

Mathematics
2 answers:
Brums [2.3K]3 years ago
7 0

9 \geqslant w \\  \\  - 7 \leqslant w

valkas [14]3 years ago
4 0

"9 is greater than or equal to w" translates to 9 \ge w which flips to w \le 9. We swap both sides and flip the inequality sign as well.

"-7 is less than or equal to w" translates to -7 \le w

We have -7 \le w and w \le 9 which then ultimately combine into the compound inequality -7 \le w \le 9

<h3>Final Answer: -7 \le w \le 9</h3>
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Which of the following shows the extraneous solution to the logarithmic equation log7(3x^3+x)- log7(x)=2
Misha Larkins [42]
To solve the give logarithm we proceed as follows;
log7(3x^3+x)-log7(x)=2
this can be written as:
log7[(3x^3+x)/(x)]=2

but;
log7(49)=2
thus;
log7(3x^3+x)/x=log7(49)
hence canceling log7 we get:
(3x^3+x)/x=49
This can be simplified further to get:
3x^2+1=49
3x^2=49-1
3x^2=48
x^2=48/3
x^2=16
getting the square root of both sides we get:
x=4
the answer is x=4
6 0
4 years ago
Read 2 more answers
PLEASE HELP<br> m&lt;6 = (2x-5)°<br> m&lt;4 = (x+5)°
-Dominant- [34]

9514 1404 393

Answer:

  ∠3 = 115°

Step-by-step explanation:

Angles 4 and 6 are "same-side interior angles", so are supplementary.

  ∠4 +∠6 = 180°

  (x +5) +(2x -5) = 180

  3x = 180

  x = 60

The angles marked 3 and 6 are alternate interior angles, so are congruent. The measure of angle 3 is ...

  ∠3 = ∠6 = (2x -5)° = (2(60) -5)°

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6 0
4 years ago
Could someone help, please?
statuscvo [17]

Answer:

Option B

Step-by-step explanation:

By using geometric mean theorem in the given right angle triangle RST,

\frac{RT}{ST}=\frac{ST}{VT}

\frac{RV+TV}{ST}=\frac{ST}{TV}

\frac{4.1+10.2}{ST}=\frac{ST}{10.2}

ST² = 10.2 × 14.3

ST = \sqrt{145.86}

ST = 12.077

ST ≈ 12.1

Therefore, Option B will be the correct option.

8 0
3 years ago
4. Decide whether the following rates are equivalent? Answer is either: YES or NO
Arte-miy333 [17]

Answer

Yes, they are equivalent.

Step-by-step explanation:

10x2=20

13x2=26

6 0
3 years ago
Read 2 more answers
The temperatures (in degrees Fahrenheit) in Long Island recorded by the weather bureau over a week were 42, 49, 53, 55, 50, 47,
sattari [20]

Answer:

55

Step-by-step explanation:

5 0
3 years ago
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