Please someone help me

PLEASE HELP 25PTS!! Select the correct answer from each drop-down menu.

lions [1.4K]

Answer:

The quality control facility operates for 10 hours each day.

Step-by-step explanation:

The given function models the number of cars that are put through a quality control test each hour at a car production factory.

The given function is

$c(t)= -t^2+8t+20$

We need to find the number of hours does the quality control facility operate each day.

Rewrite the given function it factored form.

$c(t)= -t^2+(10t-2t)+20$

$c(t)= (-t^2+10t)+(-2t+20)$

Taking out the common factors from each parenthesis.

$c(t)= -t(t-10)-2(t-10)$

$c(t)= (t-10)(-t-2)$

$c(t)=-(t-10)(t+2)$

The factored form of given function is c(t)=-(t-10)(t+2).

Equate the function equal to 0 to find the x-intercept.

$0=-(t-10)(t+2)$

$t-10=0\Rightarrow t=10$

$t+2=0\Rightarrow t=-2$

Number of hours cannot be negative. So from t=0 to t=10 quality control facility operate the cars.

Therefore the quality control facility operates for 10 hours each day.

7 0

3 years ago

hi so i have no idea what combining like terms means, or how to do it. can someone help explain, with examples?

Marina CMI [18]

Answer:

Combining like terms is a mathematical process used to simplify an expression or to add or subtract polynomials.

Step-by-step explanation:

How do I combine like terms?

1. Step 2: Combine the coefficients.

2. 5h + 11g + 1h - 8g.

3. (5 + 1)h + (11 - 8)g.

4. 6h + 3g.

5. Step 1: Organize your like terms.

6. 5x + 8x + 10x2 - 7x2 - 4x.

7. Step 2: Combine the coefficients. (5 + 8 - 4)x + (10 - 7)x2 9x + 3x2

3 0

3 years ago

Read 2 more answers

Write the standard equation of a circle that passes through (-5 5) with center (-10 -5) brainly

timama [110]

Answer:

The equation of the circle is (x + 10)² + (y + 5)² = 125 in standard form

Step-by-step explanation:

* lets study the standard form of the equation of a circle

- If the coordinates of the center of the circle are(h , k) and its radius

is r, then the standard equation of the circle is:

(x - h)² + (y - k)² = r²

* Now lets solve the problem

∵ The coordinates of the center of the circle are (-10 , -5)

∵ The standard form of the equation is (x - h)² + (y - k)² = r²

∵ h , k are the coordinates of the center

∴ h = -10 , k = -5

∴ The equation of the circle = (x - -10)² + (y - -5)² = r²

∴ The equation of the circle = (x + 10)² + (y + 5)² = r²

- To find the value of the radius lets use the point (-5 , 5) to

substitute their coordinate instead of x and y in the equation

∵ The circle passes through point (-5 , 5)

∵ (x + 10)² + (y + 5)² = r²

- Use x = -5 and y = 5

∴ (-5 + 10)² + (5 + 5)² = r² ⇒ simplify

∴ (5)² + (10)² = r²

∴ 25 + 100 = r²

∴ r² = 125

* Now lets write the equation in standard form

∴ (x + 10)² + (y + 5)² = 125

* The equation of the circle is (x + 10)² + (y + 5)² = 125 in standard form

8 0

3 years ago

Free

Mekhanik [1.2K]

Answer:

the answer is 2 you add one and the other one and it makes 2

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Find the missing dimension Use the scale 1:5<br><br> Model: 3ft<br> Actual: ?

Tasya [4]

Answer:

it will be 1 : 3

Step-by-step explanation:

8 0

2 years ago