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MaRussiya [10]
3 years ago
12

How can you distinguish if the solution is one value, all real numbers, or no solutions?

Mathematics
1 answer:
murzikaleks [220]3 years ago
8 0

Answer:

If x can only have one answer, then the solution is one value. If x can be all real numbers, then the solution is all real numbers. And if x doesn't have an answer then it has no solution.

Step-by-step explanation:

For example:

One value: 7 + x= 10 => x= 3

All real numbers: 0x=0 => x can be all real numbers

No solutions: 7x=6x => no solutions

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The area of a circle, in terms of
RUDIKE [14]

Area of a circle is PI x r^2

The area is 169PI which means r^2 = 169

Find r by taking the square root of 169:

r - sqrt(169)

r = 13

The radius is 13 m

6 0
2 years ago
3x^2-14x=5<br> Show work too
NemiM [27]

Move all terms to one sides

3x^2 - 14x - 5 = 0

Split the second term in 3x^2 - 14x - 5 into two terms

3x^2 + x - 15x - 5 = 0

Factor out the common terms in the first two terms, then in the last two terms;

x(3x + 1) - 5(3x + 1) = 0

Factor out the common term 3x + 1

(3x + 1)(x - 5) = 0

Solve for x;

<u>x = -1/3, 5</u>

8 0
4 years ago
If you were to 'unroll' the cylinder you would find the the side is actually a rectangle when flattened out.
Katarina [22]

Step-by-step explanation:

true

and the top and bottom are just circles

5 0
3 years ago
A ball is thrown in the air from ground level. The height of the ball in meters at time t seconds is given by the function <img
In-s [12.5K]

Answer:

t = 6.15 seconds

Step-by-step explanation:

A ball is thrown upward with an initial velocity of 35 meters per second from a cliff that is 30 meters high. The height of the ball is given by the quadratic equation h=-4.9t^2+35t+30 where h is in meters and t in the time in seconds since the ball was thrown, find the time it takes the ball to hit the ground. Round you answer to the nearest tenth of a second.

-----------------

h(t) =-4.9t^2+35t+30

----

When the ball hits the ground its height is zero.

So, solve -4.9t^2+35t+30 = 0

Use the quadratic formula:

t = [-35 +- sqrt(35^2-4*-4.9*30)]/(2(-4.9))

----

t = [-35 +- sqrt(637)]/(-9.8)

---

To get a positive solution:

t = [-35-25.24]/(-9.8)

t = 6.15 seconds

========================

7 0
3 years ago
Read 2 more answers
Christy drove 300 miles on her vacation. She drove an average of 1.25 times faster on the second 150 miles of her trip. Which ex
professor190 [17]
Correct answer is D.

During the first 150 miles, she drove 150 miles at a speed of x<span> miles per hour, so her time was
</span><span>150 \text{ miles} = x * t_{1st} 
</span>where t_{1st} <span>is the time she spent driving the first 150 miles.
</span>
On the second half of the trip, she drove at <span>1.25x</span> miles per hour. There, the equation would be
150 \text{ miles} = 1.25x * t_{2nd}
where t_{2nd} is the time she spent driving the second 150 miles.
 
Solve both of those equations for the t<span> variables, then add them together. Your answer will be 
</span>t_{1st} + t_{2nd}= \frac{150}{x} + \frac{150}{1.25x}= \frac{150}{x} + \frac{120}{x}= \frac{270}{x}
6 0
4 years ago
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