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3 years ago

Consider the quadratic equations

2 answers:

6 0

Consider the two functions as
<span>y1(x) =3x^2 - 5x,
y2(x) = 2x^2 - x - c

The higher the value of c, father apart the two equations will be.
They will touch when the difference, i.e. y1(x)-y2(x)=x^2-4*x+c has a discriminant of 0.
This happens when D=((-4)^2-4c)=0, or when c=4.
(a)
So when c=4, the two equations will barely touch, giving a single solution, or coincident roots.
(b)
when c is greater than 4, the two curves are farther apart, thus there will be no (real) solution.
(c)
when c<4, then the two curves will cross at more than one location, giving two distinct solutions.

It will be more obvious if you plot the two curves in a graphics calculator using c=3,4, and 5.

</span>

laila [671]3 years ago

3 0

Can you please make this more clear

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Answer:

1) $63.60

2) y=8x-6

Step-by-step explanation:

1) $233.20 divided 11 hours is a hourly rate of $21.20. $21.20 multiplied by 3 hours is $63.60.

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2 years ago

Semenov [28]

Answer:

Yes, because m<UVW is congruent to m<XVY and m<VUW is congruent to m<VXY

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

In this problem

we know that

$m< VUW=55\°$

the measure of angle VXY is equal to

$m$ -----> by supplementary angles

$m$

therefore

$m< VUW=m$

Remember that

m<UVW=m<XVY -----> is the same vertex

therefore

Triangles VUW and VXY are similar by AAA Similarity Theorem ( the three angles are congruent)

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2 years ago

(x^3-2x^2-4) (-3x^2+x)

Kay [80]

Answer:

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x - 3

Step-by-step explanation:

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2 years ago

Joe earns $425 a week for working 40 hours and an additional $20 an hour for each hour over 40. Last week, Joe made $485. Write

Tasya [4]

Answer:

Joe worked 3 hours overtime.

Step-by-step explanation:

Let t = number of hours overworked

425 + 20 × t = 485

425 + 20t = 485

20t = 485 - 425

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$\frac{20t}{20} = \frac{60}{20}$

t = 3

$\therefore$ Joe worked 3 hours over time.

Hope this helps :)

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2 years ago

During the past month, you withdrew $22 from your savings account and then deposited $24. If your balance at the end of the mont

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Answer:

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2 years ago