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Alexxx [7]
3 years ago
12

PLZ HELP!!!!!!!

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
8 0

Answer:

  5.  A) two solutions

  6.   one solution

Step-by-step explanation:

5. A graph shows the curve has two x-intercepts, so two solutions. You can also figure this by looking at the discriminant:

  b^2 -4ac = (7)^2 -4(-4)(8) . . . . a positive number

When the discriminant is positive, there are two real solutions.

__

6. The equation factors as ...

  0 = 3(x +3)^2

This will have one real solution at x=-3.

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If pq = 23 and uv = 1/23, find the value of u×q×v×p. Explain which properties you used
zhannawk [14.2K]

Remember that multiplication is <em>commutative</em>, which means the order in which we multiply things doesn't matter.

The order of u × q × v × p (which we can abbreviate uqvp) isn't as important as the fact that <em>we're multiplying all four values together</em>. We could just as easily rewrite the expression as pquv, and it'd represent the same value.

To find this value then, we can simply multiply pq and uv - the values we already know - together.

If we start with the expression pq = 23, we can multiply either side by uv (taking advantage of the <em>multiplication property of equality) </em>to get

pquv = 23uv

And since we know that uv = 1/23, we can use the <em>substitution property of equality</em> to replace the uv on the right side with 1/23:

pquv = 23(1/23)

The <em>inverse property of multiplication </em>states that any number multiplied by its inverse (its reciprocal) gives us 1. 23 and 1/23 are reciprocals of each other, so 23(1/23) = 1, which means

pquv = 1

Finally, going back to the second paragraph, we can use the <em>commutative property of multiplication </em>to rearrange the left side of the equation, giving us the solution

uqvp = 1

3 0
3 years ago
One fish is 4 feet below sea level. Another fish is 3 feet below sea level. write each position as an integer. Which integer is
inna [77]
The first fish has an integer of -4 and the other fish has an integer of -3.
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3 0
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Answer:

Step-by-step explanation:

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