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cluponka [151]
3 years ago
5

What is the constant of proportionality of y= 7.25x

Mathematics
1 answer:
Natalija [7]3 years ago
7 0
The constant of proportionality of y=7.25x is 7.25.
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Solve for x use the completing the square method x^2+6x=5
Mrac [35]

Answer:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

Step-by-step explanation:

x^{2}+6x-5=0

we divide the coefficient of the X by half :

in this case: 6/2 = 3 , then we do the following

The result obtained is raised to square power:  3^2=9

we sum and subtract by 9 to maintain the balance of the equation:

x^{2}+6x+9-9-5=0

we have:

(x+3)^{2}-9-5=0

(x+3)^{2} = 14

lets apply square root on both sides of the equation:

\sqrt{(x+3)^{2}}=\sqrt{14}

we know:

\sqrt{a^{2}} = abs(a)

so we have:

abs(x+3)=\sqrt{14}

from where two solutions are obtained

x_{1} + 3 =\sqrt{14} \\\\x_{2} + 3 =-\sqrt{14}

finally we have:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

5 0
3 years ago
Read 2 more answers
Use differentials to estimate the amount of paint needed (in m3) to apply a coat of paint 0.04 cm thick to a hemispherical dome
pogonyaev

The amount of paint is the volume of paint needed.

The amount of paint needed is 0.065312 cubic meters

<h3>How to determine the amount of paint needed</h3>

The volume of a hemisphere is:

V = \frac 23\pi r^3

Differentiate the above equation

V' = 2\pi r^2 r'

The above equation represents the estimate of the amount of paint needed.

Where:

  • r represents the radius (r = 52/2 m)
  • r' represents the thickness (r' = 0.04 cm)

So, we have:

V' = 2\pi r^2 r'

V' = 2 * 3.14 * (52/2\ m)^2 * (0.04cm)

V' = 2 * 3.14 * (26\ m)^2 * (0.04cm)

Express cm as m

V' = 2 * 3.14 * (26\ m)^2 * (0.0004m)

V' = 0.065312 m^3

Hence, the amount of paint needed is 0.065312 cubic meters

Read more about volumes at:

brainly.com/question/10171109

3 0
2 years ago
Please help me solve this
andre [41]

Answer:

Step-by-step explanation:

This number is much larger than 1. You need to start at the decimal and move left (that's how scientific notation works for numbers larger than 1.)

So the answer is 1.0054 * 10 ^7

The person doing this started at the 1 and moved right until he/she hit the decimal. Wrong direction.

7 0
3 years ago
HELP ASAP!!!!
Dahasolnce [82]
Hey again!

The answers for your question is A; Positive, and C; no association

7 0
3 years ago
i need help plz with this as a salesperson,you are paid$75 per week plus $10 per sale.This week you want your pay to be at least
den301095 [7]
You need to make 23 sales

7 0
3 years ago
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