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kupik [55]
3 years ago
14

What are the factors of the quadratic function graphed below. Please show work , please help

Mathematics
1 answer:
dlinn [17]3 years ago
5 0

Answer:

x and (x - 6)

Step-by-step explanation:

y = a(x - h)² + k

h = 3    k = -2

y = a (x - 3)² -2

For point (0 , 0) on the function

0 = a (0 - 3)² -2

0 = 9a - 2

a = 2/9

a (x - 3)² -2 = 2/9 (x² - 6x + 9) - 2 = 2/9 * x * (x - 6) + 2 - 2 = 2/9 * x * (x-6)

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Find the value of x for which abcd must be a parallelogram
aleksandr82 [10.1K]

Answer:

x = 7

Step-by-step explanation:

3x - 17 = 25 - 3x

Get the x's on one side and the integers on the other

3x + 3x = 25 + 17

6x = 42

x = 7

5 0
4 years ago
In his free time Gary spends 10 hours per week on the internet and 9 hours per week on video games. If Gary has 5 hours of free
cluponka [151]

Answer:

Percentage of free time Gary spends on playing video games and using internet = 54.29%

Step-by-step explanation:

Given:

Gary spends 10 hours per week on the internet.

Gary spends 9 hours per week on video games.

Gary has 5 hours free time per day.

To find the percentage of free time Gary is using to play video game and use the internet.

Solution:

Total number of hours of free time Gary has per week = 5\times 7=35

<em>[As there are 7 days in a week so we multiply by 7]</em>

Total number of hours of free time Gary spends on playing video games and using internet per week = 10+9=19

Percentage of free time Gary spends on playing video games and using internet per week can be calculated as :

⇒ \frac{\textrm{Total time spent on playing video games and using internet per week}}{\textrm{Total free time in a week}}\times 100

⇒ \frac{19}{35}\times 100

⇒ 54.29% (Answer)

4 0
3 years ago
(05.03)Calculate the area of the regular pentagon below: A regular pentagon with side length of 22.3 inches and dotted line from
Marat540 [252]

Answer:

The area of the regular pentagon is A=858.55\ in^{2}

Step-by-step explanation:

we know that

The area of a regular polygon is equal to

A=\frac{1}{2}Pa

where

P is the perimeter of the regular polygon

a is the apothem

Find the perimeter P

P=5(22.3)=111.5\ in ----> the regular pentagon has five equal sides

a=15.4\ in ---> distance from center to middle of side

substitute

A=\frac{1}{2}(111.5)(15.4)

A=858.55\ in^{2}

5 0
3 years ago
Read 2 more answers
Solve the initial value problem (explicit solution). y y' - cot t = 0 y(pi/2) = -1
Sergeu [11.5K]

This ODE is separable:

yy'-\cot t=0\implies y\,\mathrm dy=\cot t\,\mathrm dt

Integrate both sides to get

\dfrac12y^2=\ln|\sin t|+C

Given that y\left(\frac\pi2\right)=-1, we get

\dfrac12(-1)^2=\ln|\sin\dfrac\pi2\right|+C\implies C=\dfrac12

Then

\dfrac12y^2=\ln|\sin t|+\dfrac12

y^2=2\ln|\sin t|+1

y^2=\ln\sin^2t+1

\implies\boxed{y(t)=\pm\sqrt{\ln\sin^2t+1}

6 0
3 years ago
Can you please help me do this?!
Marianna [84]

Answer:

the and swer is 3x+9

hoped that helped

5 0
3 years ago
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