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olchik [2.2K]
3 years ago
15

sing the expression x + 3, write one equation that has one solution, one equation that has no solution, and one equation that ha

s infinitely many solutions. Explain
Mathematics
1 answer:
8090 [49]3 years ago
6 0

Answer:  one solution  x + 3 = 5   x = 2   no other other value for x is possible

No solution:  (x + 3) = 2(x +3)  

Infinitely many solutions:  x+3 = 3 + x

Step-by-step explanation:

why (x + 3) = 2(x +3)  has no solution. Can you solve?

x+3=2x+6 -x=3 x=-3 substute -3 for x

(-3)+ 3)= 2[(-3) +3]

-3+3 = -6 +3

0 = -3 False!

x+3 = 3 + x  has infinitely many solutions. Substitute any number for x, and the equation is true   (5)+3=3+(5) 8=8 .  11111+3 =3+11111  11114=11114

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Plz solve it
konstantin123 [22]

Answer:

Fgh= -5x^3-^2+45x+9

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

I don't think you can do anything with the second one.

Step-by-step explanation:

8 0
3 years ago
Use the method from the Example to approximate the solution to the equations below to two decimal places.
STALIN [3.7K]

Answer:

x = 3.85

Step-by-step explanation:

Given equation:

6ˣ = 1,000

now,

on taking log both sides, we get

⇒ log(6ˣ) = log(1,000)

or

⇒ log(6ˣ) = log(10³)

now we know the property of log function that

log(aᵇ) = b × log(a)

thus, applying the above property, we get

⇒ x × log(6) = 3log(10)

or

⇒ x × log(2×3) = 3log(10)

now,

we have another property of log function as":

log(A) = log(A) + log(B)

therefore,

x × [log(2) + log(3)] = 3log(10)

also,

log(10) = 1

log(2) = 0.3010

log(3) = 0.4771

Thus,

⇒ x × [0.3010 + 0.4771 ] = 3 × 1

or

⇒ x × 0.7781 = 3

or

⇒ x = 3.85

3 0
2 years ago
In the diagram below, the circle has a radius of 25 inches. the area of the unshaded is 500pi in^2Determine and state the degree
Dmitriy789 [7]
72^{\circ}

1) In this question, we are going to make use of the formula for the area of that sector, to find the central angle.

2) So, let's write it out an expression involving the area of a circle, the unshaded area, and the shaded one and then plug into that the given data:

\begin{gathered} A=\frac{\alpha}{360^{\circ}}\times\pi r^2 \\ A_{Unshaded}+A_{shaded}=A_{Circle} \\ 500\pi+\frac{\alpha}{360}\times\pi r^2=\pi r^2 \\  \\ 500\pi+\frac{α}{360}\pi25^2=25^2\pi \\  \\ 500\pi+\frac{125\piα}{72}=625\pi \\  \\ 500\pi +\frac{125\pi α}{72}-500\pi =625\pi -500\pi  \\  \\ \frac{125\pi α}{72}=125\pi  \\  \\ \frac{72\times \:125\pi α}{72}=72\times \:125\pi  \\  \\ \frac{125\pi α}{125\pi }=\frac{9000\pi }{125\pi } \\  \\ α=72^{\circ} \\  \\  \end{gathered}

Thus, the centra angle of that shaded area is 72º

6 0
11 months ago
Anyone please help me with last two I'll vote brainliest!! :))
Alja [10]

Answer:

7. y= x + 12   8. y= -1 + 4x

Step-by-step explanation:

for 7 all you need to do is subtract x from both sides to get y= 12- x, and to make it perpendicular you need to make the current slope it’s exact opposite so in this case that’s just changing the “-” symbol to an “+”.

for 8 you do the same first step you did in 7 and subtract 4x from both sides to get -y= 1 - 4x. Next you divide everything by -1 (because it’s the number in front of the Y) and you get Y= -1 + 4x

7 0
3 years ago
What was developed in 1883 by the railroad companies to standardize the transportation of goods across the nation?
uranmaximum [27]

Answer: standard time

Step-by-step explanation:

4 times zones one hour apart

7 0
2 years ago
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