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VLD [36.1K]
2 years ago
14

Solve for the smallest value of $x$ such that $24x^2 + 17x - 20 = 0.$ Express your answer as a simplified common fraction.

Mathematics
1 answer:
Gala2k [10]2 years ago
4 0
X=5/8 or x=-4/3 
here is the work if needed...
24x^2+17x-20=0
Step one: Factor left side of equation.
(8x-5)(3x-4)=0
Step two: Set factor equal to 0.
8x-5=0 or 3x-4=0
x=5/8 or x=-4/3
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A tank with capacity T gallons is empty. If water flows into the tank from pipe X at the rate of X gallons per minute, and water
Andrej [43]

A tank with capacity T gallons is empty. Tank will be filled in \frac{t}{(x - y)} minutes

<u>Solution:</u>

Given, A tank with capacity T gallons is empty.  

We have to find how many minutes will tank be filled?

Now, Water flows into the tank from pipe X at the rate of X gallons per minute,  

And water is pumped out by pipe Y at the rate Y gallons per minute,  

Then, together in one minute the amount of water filled will be x – y gallons  [as X is greater than Y]

Now, the time take to fill tank = =\frac{\text { capacity of tank }}{\text { amount of water filled per minute }}=\frac{t}{x-y}

Hence tank will be filled in \frac{t}{(x - y)} minutes

6 0
3 years ago
Hurry please!
Alexus [3.1K]

Answer:

C. $8483

Step-by-step explanation:

To find the  coffee sales, we plug in the value of x as 34 into y = 60x + 6443.

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3 0
2 years ago
Answer? .............................
kumpel [21]

ANSWER TO QUESTION ONE IS   5  

5x2+5=15  

5-4=1

15x1=15

QUESTION 2

X = 20

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7 0
3 years ago
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I am Lyosha [343]
Y=3
to solve this you just substitute 4 in for x into the equation and solve for y. since negative 3 plus 7 is 4, y=4
4 0
2 years ago
Read 2 more answers
Draw a line from each figure to an area
Georgia [21]

Answer:

A=27 cm^2

B=24 cm^2

C=26 cm^2

D=28 cm^2

Step-by-step explanation:

Break each problem down into individual shapes.

For instance, A can be split into a 3 by 3 square and a 6 by 3 square.

      Get the area by multiplying the length & height: A = L * H

For the triangles the area is the same equation divided by 2 A=LH/2

Shapes with unclear dimensions like C can be skipped and have their area revealed through process of elimination.

3 0
3 years ago
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