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ra1l [238]
3 years ago
15

Simplify. 5x^3/7x^3+x^4

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
5 0

Answer:

5x^6/7 + x^4

Step-by-step explanation:

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Choose the graph that represents the following system of inequalities: y ≤ −3x + 1 y ≤ 1 over 2x + 3 In each graph, the area for
Vanyuwa [196]

The graph that represents the inequality has been shown in the attachment.

<h3>How to solve for the graph</h3>

We have these equations

y ≤ −3x + 1

y ≤ x + 3

We remove the inequality sign from both of these equations

y = −3x + 1

y = x + 3

−3x + 1  = x + 3

such that

x = -0.5

we use this value for x in any of the equations

x + 3 = -0.5 + 3

= 2.5

the point of intersection is at 2.5, -0.5

we test for the origin. 0,0

3x + 1

= 3*0 + 1

= 1

for  x + 3

0+3 = 3

This is 0≤1 and 0≤3

Hence the graph should be shaded to the origin.

Read more on a graph here: brainly.com/question/14030149

#SPJ1

7 0
2 years ago
What is 2/3 Time 2/3
klasskru [66]

Answer:

\frac{4}{9}  

Step-by-step explanation:

\frac{2}{3} * \frac{2}{3}

you multiply across, so you do 2*2 for the numerator, then 3*3 for the denominator. This would equal 4 as the numerator, 9 as the denominator,  which is \frac{4}{9}  

4 0
3 years ago
A toy company produces 1,000 toys per month. In January, 75 toys did not meet quality standards. The toy company generates a ran
erik [133]
Based on this sample, 100 toys will not meet standards.

There is 1 value that is 75 or lower in this simulation.  This makes the experimental probability 1/10.  1/10(1000) = 100 toys for the month.
3 0
3 years ago
A large truck has two fuel tanks, each with a capacity of 150 gallons. Tank 1 is half full, and Tank 2 is empty.
12345 [234]

Answer:

1) G(t) = 75 + \frac{23}{4}t\\

2) After 8 minutes delivering fuel the tanks will have 121 gallons of fuel

Step-by-step explanation:

1) For generating the equation we have to take into account that in the tanks there is a initial volume of fuel that corresponds to 75 gallons, as it is stated that tank one is half full. As the capacity for tank 1 is of 150 gallons, half of the tank equals to:

\frac{150}{2} = 75 gallons

Now we have to convert the rate of delivery that is expressed as a mixed number to an improper fraction so:

5\frac{3}{4} = \frac{(5x4)+3}{4} = \frac{23}{4}

Then the pumping rate is of 23/4 gallons per minute, to get how many gallons are in the tank we just need to multiply this rate by the time in minutes, and as there is an initial volume we have to add it, so we have the following equation:

G(t) = 75 + \frac{23}{4}t\\

2) To know how much fuel is in the tank after 8 minutes we have to replace this time in the previous equation so we have

G(t) = 75 + \frac{23}{4}t\\G(8) = 75 + \frac{23}{4}(8)\\G(8) = 75 + 23(2)\\G(8) = 75 + 46\\G(8) = 121 gallons

After 8 minutes delivering fuel the tanks will have 121 gallons of fuel

8 0
3 years ago
How do you calculate square root
Vesna [10]

Answer:

to calculate square root you multiply the number (example 7) by itself (answer to example 49) so the answer form the square root would be 7. it always helped me to do it backwards.

Step-by-step explanation:

It's just multiplying the number by itself

EXAMPLES:

7*7=49 answer 7

2*2=4 answer 2

6*6=36 answer 6

those are a few examples of square roots

8 0
3 years ago
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