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Orlov [11]
2 years ago
5

√4t + 24 = -2t; t = 3, t = -2

Mathematics
1 answer:
Ivahew [28]2 years ago
5 0

Answer:

Neither

Step-by-step explanation:

\sqrt{4t}+24=-2t \\ \\ \sqrt{4t}=-2t-24 \\ \\ 4t=4t^2 + 96t+576 \\ \\ 4t^2 + 92t+576=0 \\ \\ t^2 + 23t+144=0 \\ \Delta=23^2 - 4(144)

Since there are no real solutions, neither solution is extraneous.

You might be interested in
Find the equation of the line that goes through points (3,2) and has a slope of -3/2
ExtremeBDS [4]

Answer:

ddd

Step-by-step explanation:

ddd fdrcfd g rer fsss fdssss vfdd

5 0
3 years ago
A pool measuring 18 meters by 22 meters is surrounded by a path of uniform width. If the area of the pool and the path combined
suter [353]

Answer: the width of the uniform path is 9 meters.

Step-by-step explanation:

Let x represent the width of the uniform path.

A pool measuring 18 meters by 22 meters is surrounded by a path of uniform width. It means that the combined length of the pool and the uniform path is (18 + 2x) meters and the combined width of the pool and the uniform path is (22 + 2x) meters.

If the area of the pool and the path combined is 1440 square meters, it means that

(18 + 2x)(22 + 2x) = 1440

396 + 36x + 44x + 4x² = 1440

4x² + 80x + 396 - 1440 = 0

4x² + 80x - 1044 = 0

Dividing both sides of the equation by 4, it becomes

x² + 20x - 261 = 0

x² + 29x - 9x - 261 = 0

x(x + 29) - 9(x + 29) = 0

x - 9 = 0 or x + 29 = 0

x = 9 or x = 29

Since the width cannot be negative, then x = 9 meters

5 0
3 years ago
What is the answer and the rem of 71 when divided by 8
lisabon 2012 [21]
It would be 8R7. 8x8=64. 71-64=7
4 0
3 years ago
In a Washington town, the charge for commerical waste collection is $694.55 for 5 tons of waste and $1098.56 for 8 tons of waste
NISA [10]

Answer:

m =\frac{1098.56-694.55}{8-5}= 134.67

And we can find the intercept like this:

694.55 = 134.67*5 +b

b = 694.55 -673.35= 21.2

And the equation would be given by:

C = 134.67 w + 21.2

Step-by-step explanation:

For this case we want a function given by:

C = mw +b

Where C is the cost, m the slope, w the weight and b the intercept.

We have the following info (w=5, C= 694.55) and (w=8, C=1098.56) and we can find the slope with this formula:

m =\frac{1098.56-694.55}{8-5}= 134.67

And we can find the intercept like this:

694.55 = 134.67*5 +b

b = 694.55 -673.35= 21.2

And the equation would be given by:

C = 134.67 w + 21.2

8 0
3 years ago
Can anyone help me with this?
Ilya [14]
Yes just restate your question
4 0
4 years ago
Read 2 more answers
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