All categories

2 years ago

Find the value of c such that the line with equation y= 2x + c is a tangent to the parabola y = x squared + 3x

Mathematics

1 answer:

natita [175]2 years ago

6 0

Answer:

c=-1/4

Step-by-step explanation:

Y=2x+c=2(x+c/2), so m=2.

To be tangent we need to check y’ of parabola: y’=2x+3.

So for some x it must be 2x+3=2 (cause m=2). We have x=-1/2.

Now we use x=-1/2 to find y from 2nd equation (equation of parabole): we got y=1/4-3/2=-5/4.

So tangent has point (-1/2,-5/4).

Put that point in firts equation (equation of line): -5/4=-1+c,

so we have c=-1/4.

You might be interested in

Mark wants to buy 5 new video games from

vlada-n [284]

He will have to pay about $82.34 at the checkout.

4 0

2 years ago

4. After taking 20% off the original price, Amber paid $35 for her dress. What was the original price? A. $63.75 B. $54.25 O C.

larisa [96]

Answer: D. $43.75

Step-by-step explanation:

3 0

3 years ago

Please tell me correct and

choli [55]

Answer:

$\frac{1}{4}$ or $0.25$ (they're the same)

Step-by-step explanation:

First Part:

$4^{3} = 64$
$8^{2} = 64$
$2 = 2$
Multiply them together: 64 × 64 × 2 = 8192

Second Part:

$2^{7} = 128$
$16^{2} = 256$
Multiply them together: 128 × 256 = 32768

Wrap it all up:

8192 ÷ 32768 = 0.25 = 1/4

I hope this helps!

7 0

3 years ago

Happy paws charges $19 plus $5.50 per hour to keep a dog during the day. Woof watches charges $10.00 plus $6.75 per hour complet

yan [13]

You easily add up all the numbers.$19.00+$5.50=24.50.24.50+10.00=34.50.34.50+6.75=35.25.So it is $35.25 per hour.

6 0

3 years ago

[HELP ASAP]~ A city has a population of 240000 people. Suppose that each year the population grows by 4%. What will the populati

Georgia [21]

Answer:

multiply the population each year by 4% or 0.04

year 1 increase by 9600, population 249,600

year 2 increase by 9984, population 259,584

year 3 increase by 10,383, 269,967

year 4 increase by 10,799, 280,766

year 5 increase by 11,231, 291,997

year 6 increase by 11,680, 303, 677

Step-by-step explanation:

I rounded the totals.

8 0

3 years ago