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djverab [1.8K]
3 years ago
13

twice the sum of a number and 2 is equal to three times the difference of the number and 3. Find the number

Mathematics
1 answer:
Lana71 [14]3 years ago
3 0
2(x+2)=3(x-3)
2x+4=3x-9
2x=3x-13
-x=-13
x=13

The number is 13
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Is the following a function?
saw5 [17]

Answer:

yes

Step-by-step explanation:

For the relation to be a function, there must only be one corresponding value of y (range) for any value of x in the domain, that is a one-to- one relationship

This graph displays this feature and is a function.


5 0
3 years ago
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Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real
hoa [83]

Answer: 0=2x^2-7x-9\\0=4x^2-3x-1\\0=x^2-2x-8


Step-by-step explanation:

We know that the standard quadratic equation is  ax^2+bx+c=0

Let's compare all the given equation to it and , find discriminant.

1. a=2, b= -7, c=-9

b^2-4ac=(-7)^2-4(2)(-9)=49+72>0

So it has 2 real number solutions.

2. a=1, b=-4, c=4

b^2-4ac=(-4)^2-4(1)(4)=16-16=0

So it has only 1 real number solution.

3. a=4, b=-3, c=-1

b^2-4ac=(-3)^2-4(4)(-1)=9+16=25>0

So it has 2 real number solutions.

4. a=1, b=-2, c=-8

b^2-4ac=(-2)^2-4(1)(-8)=4+32=36>0

So it has 2 real number solutions.

5. a=3, b=5, c=3

b^2-4ac=(5)^2-4(3)(3)=25-36=-9

Thus it does not has real solutions.



5 0
3 years ago
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J) You spend $35. Tip is 15%. How much did you pay in total?
rusak2 [61]

Answer:

You paid $40.25 in total.

Step-by-step explanation:

In this question:

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You paid $40.25 in total.

3 0
3 years ago
Which measure is of an angle that is coterminal with a 425° angle? 425° – (1,000n)°, for any integer n 425° – (840n)°, for any i
Natalka [10]

The angle that is coterminal to 425° is the last one:

B = 425° + n*1,440°

<h3>Which measure is of an angle that is coterminal with a 425° angle?</h3>

By definition, for any angle A, we can say that an angle B is coterminal to A if:

B = A + n*360°

where n can be any integer.

So, from the given options, we need to see which one is a multiple of 360°.

Of the given options, the only that meets this condition is the last one:

B = 425° + n*1,440°

Where:

1,440°/360° = 4

Then we conclude that:

425° + n*1,440° is coterminal to 425°.

If you want to learn more about coterminal angles:

brainly.com/question/3286526

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