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Andru [333]
3 years ago
14

How do you write a quadratic equation in standard form?

Mathematics
1 answer:
Lemur [1.5K]3 years ago
3 0

Answer:

  • Powers of the variable descending left to right
  • right side of the equal sign is 0

Step-by-step explanation:

For some constants a, b, and c, the standard form* is ...

  ax^2 + bx + c = 0

___

It is nice if the leading coefficient (a) is positive, but that is not required.

The main ideas are that ...

  • Powers of the variable are descending
  • All of the non-zero terms are on the left side of the equal sign
  • Like terms are combined

_____

* This is the <em>standard form</em> for a quadratic. For other kinds of equations, when the expression is equal to zero, this would be called "general form."

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Use the graph of f '(x) below to find the x values of the relative maximum on the graph of f(x):
Lana71 [14]

Answer:

You have relative maximum at x=1.

Step-by-step explanation:

-Note that f' is continuous and smooth everywhere. f therefore exists everywhere on the domain provided in the graph.

f' is greater than 0 when the curve is above the x-axis.

f' greater than 0 means that f is increasing there.

f' is less than 0 when the curve is below the x-axis.

f' is less than 0 means that f is decreasing there.

Since we are looking for relative maximum(s), we are looking for when the graph of f switches from increasing to decreasing. That forms something that looks like this '∩' sort of.

This means we are looking for when f' switches from positive to negative. At that switch point is where we have the relative maximum occurring at.

Looking at the graph the switch points are at x=0, x=1, and x=2.

At x=0, we have f' is less than 0 before x=0 and that f' is greater than 0 after x=0.  That means f is decreasing to increasing here. There would be a relative minimum at x=0.

At x=1, we have f' is greater than 0 before x=1 and that f' is less than 0 after x=1. That means f is increasing to decreasing here. There would be a relative maximum at x=1.

At x=2, we have f' is less than 0 before x=2 and that f' is greater than 0 after x=2. That means f is decreasing to increasing here. There would be a relative minimum at x=2.

Conclusion:

* Relative minimums at x=0 and x=2

* Relative maximums at x=1

3 0
3 years ago
The pair of triangles that are congruent by ASA criterion is
stealth61 [152]

Answer:

The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.

The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.

Step-by-step explanation:

Two triangles are congruent by ASA property if any two angles and their included side are equal in both triangles .In triangles Δ ABC and Δ XYZ the equal side 5 is between the two equal angles. So these triangles are congruent by ASA criterion.

Two triangles are congruent by SAS if  two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle .In triangles  Δ BAC and ΔRQP. the included angles A and Q are equal and hence the triangles are congruent by SAS criterion.

4 0
3 years ago
Brian completed 34 free throws and missed 16.
ELEN [110]
46, 16 is a little less than 1/2 of 34, so and 46 is a little less than 1/2 of 100.
4 0
3 years ago
Read 2 more answers
Beverage A and Beverage B are sold in identical cans. Beverage A is 6% sugar. The portion of Beverage B that is sugar is 0.21. H
muminat

Answer:

3.5 more times sugar in B

Step-by-step explanation:

We need to see that the fact that Beverage B is 0.21 sugar can be translated to percentages, just by multiplying and dividing by 100 to get it easier to see:

0.21 * 100 /100 =  21/100 = 21% percent

This means that for every 100 units, 21 are sugar.

Now we can compare percentages directly, as both have the same volume because are sold in identical cans. We need to get how many times is 21 greater than 6. The only thing we need to do is the ratio between them:

21/6= 3.5

This implies that 21 is 3.5 greater than 6, you can verify it by multiplying 6 by 3.5 and getting 21.

So, B has 3.5 times more sugar than A.

5 0
3 years ago
Help me please!!!!! its so hard
Murljashka [212]

Answer: 384 in

Step-by-step explanation: 12 in*10 in=384 in

6 0
3 years ago
Read 2 more answers
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