Solve It! The area of a rectangular solar panel is given by the trinomial below.
x^2+7x+12

The height of the solar panel is given by the binomial below.
x+3

What is an expression for the length of the panel?


A.x^2+6x+9

B.x+3

C.x^2+3

D.x+4

What is the vertex

Its vertex is at (36, -10)

Let us assume that the left edge of the cable is at the origin.

Since the cable is at its lowest height 10 feet halfway between the two supports, the y-coordinate of its lowest point is -10 ft and the x coordinate is 72 ft/2 = 36 ft.

So, its vertex is at (36, -10)

Axis of symmetry

The y-axis.

Since the cable is symmetric about its lowest point, the axis of symmetry is the y-axis.

Domain

The domain is (0, 72).

Since the minimum value of its x-coordinate is at the origin which is x = 0 and the maximum value is at the other support which is at x = 72 ft,

the domain is (0, 72).

Range

The range is (0, -10)

Since the minimum value of the y-coordinate is -10ft and the maximum value is at the origin y = 0,

the range is (0, -10)

x and y-intercepts

The x-intercept is (0, 72) and the y-intercept is (0, 0)

Since the cable is attached at the origin and at 72 feet away  from the origin at the other support, the x-intercept is 0 and 72 ft and the y-intercepts are 0 and 0.

So, the x-intercept is (0, 72) and the y-intercept is (0, 0)

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Answer:

y+4 because bishh that's the answer lol your welcome

Answer:

66 2/3 %

Step-by-step explanation:

2/3

Take 2 and divide by 3

.666666(repeating)

Multiply by 100

66.6666(repeating)%

But .6666666(repeating) is 2/3

66 2/3 %

Answer:

\( 66.66\%\)

Step-by-step explanation:

\( \frac{2}{3} \times 100\% \\ \frac{200}{3} \% \\ 66.66\%\)

Answer + Step-by-step explanation:

\(f(x) = 5|x-6|+2 = \begin{cases}5\left( x-6\right) +2&if\ x\geq 6\\ 5\left( 6-x\right) +2 &if\ x\leq 6\end{cases}\)

\(\Longrightarrow f(x) = \begin{cases}5x-30+2&if\ x\geq 6\\ 30-5x +2 &if\ x\leq 6\end{cases}\)

\(\Longrightarrow f(x) = \begin{cases}5x-28&if\ x\geq 6\\ -5x +32 &if\ x\leq 6\end{cases}\)

case 1: x ≥ 6 → f(x) = 5x - 28

5(6) - 28 = 30 - 28 = 2

Then

the point A(6 ,2) lie on the graph (line) of f

5(7) - 28 = 35 - 28 = 7

Then

the point B(7 ,7) lie on the graph (line) of f

Graphing :

When x ≥ 6 ,the graph of f is the ray [AB) (just connect the points A and B)

case 2: x ≤ 6 → f(x) = -5x + 32

-5(6) +32 = -30 + 32 = 2

Then

the point A(6 ,2) lie on the graph (line) of f

-5(5) +32 = -25 + 32 = 7

Then

the point C(5 ,7) lie on the graph (line) of f

Graphing :

When x ≤ 6 ,the graph of f is the ray [AC) (just connect the points A and C)

Answer:bb

Step-by-step explanation:

Answer:

She shoveled 4 pounds

Step-by-step explanation:

16 ounces = 1 pound, 64/4= 4

Step-by-step explanation:

Let l be the length and w be the width of the frame.

We have 2(l + w) = 94 and l = 2w - 7.

Therefore 2[(2w - 7) + w] = 94.

=> 3w - 7 = 47

=> 3w = 54

=> w = 18

l = 2(18) - 7 = 36 - 7 = 29

Hence the length of the frame is 29in and the width of the frame is 18in.

Answer:

6.7

Step-by-step explanation:

Answer:

I think its Distributive Property

Step-by-step explanation:

Hope this helped

Answer: 48

Step-by-step explanation: 60-12=48

The arrangement of the total point is an illustration of combination

There are 162 different arrangements of talent points

The number of points is:

Points = 9

The number of talents is:

Talents = 18

So, the number (n) of arrangement is:

n = 9 * 18

This gives

n = 162

Hence, there are 162 different arrangements of talent points

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Answer:

1) r + t = 0

2) take out the values of points and do trial and error method

3) take out the values of points and do trial and error method

Step-by-step explanation:

Answer:

-55 5/10000

Step-by-step explanation:

We can break each word down. Negative would be the negative sign (-), fifty-five would be 55, and five ten-thousandths would be 5/10000. If we put them together, we would get -55 5/10000, which is the answer.

Answer: x represents Courtney’s age

Step-by-step explanation:

9514 1404 393

Answer:

  (i) k = 1

  (ii) 4/7

  (iii) arctan(4/7) ≈ 29.7°

Step-by-step explanation:

(i) A graph of the given points is helpful. It shows us the slope of AB is ...

  mAB = rise/run = 2/1 = 2

so the slope of BC must be the opposite reciprocal, -1/2.

Point C is 6-2 = 4 units to the right of point B, so will be (-1/2)(4) = -2 units from point B in the vertical direction. That is, ...

  k = 3 -2

  k = 1

__

(ii) The gradient of AC is found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-3))/(6 -(-1))

  mAC = 4/7

__

(iii) The angle that line AC makes with the +x axis is the arctangent of the slope:

  arctan(4/7) ≈ 29.7° . . . angle between AC and +x axis

Answer:

x = 6

Step-by-step explanation:

x + 2(4x-6) = 42

x + 8x - 12 = 42

9x = 42 + 12

9x = 54

9/9 x = 54/9

x = 6

Answer:  $4,000

Step-by-step explanation:

If the total earnings were $40,000 and the base pay was $10,000, then the commission earned would be $40,000 - $10,000 = $30,000.

Since the commission rate is 40%, we can set up the equation:

40% x Total Sales = Commission Earned

We know that the commission earned is $30,000, and we also know that 15 cars were sold. Therefore, we can solve for the average price of each car:

40% x Total Sales = Commission Earned

40% x (15 x Price per Car) = $30,000

6 x Price per Car = $30,000

Price per Car = $5,000

However, this is just the average price per car. Since the commission is based on the total sales, we need to calculate the actual commission earned on each car:

Commission per Car = 40% x Price per Car

Commission per Car = 40% x $5,000

Commission per Car = $2,000

Therefore, the total earnings of $40,000 divided by the number of cars sold (15) gives the amount earned per car:

Amount earned per Car = Total Earnings / Number of Cars Sold

Amount earned per Car = $40,000 / 15

Amount earned per Car = $4,000

Answer:

(x , y)=(0 , -2)

Step-by-step explanation:

The required amount of the space available is 0.045 cubic meter.

We need to determine Space inside the steps.

The Volume is defined as the mass of object per unit density.

The required space = 0.3*0.4*0.5 - 0.15*0.5*0.2

                                 =  0.06 - 0.015

                                 =    0.045 cubic meter

Hence, the required amount of the space available will be 0.045 cubic meter.

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1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.

2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.

3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`

construction of index number is also available in two parts:

1. simple

2. weighted

1. simple: the simple method is classified into simple aggregative and simple relative.

2. weighted: the weighted method is classified into a weighted aggregative and weighted average.

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The probability that the customer is good risk is 0.0035.

From the given data,

customer of good risk, x = 0.7

customer of medium risk , y = 0.2

customer of poor risk, z = 0.1

Probability of good risk customer filling a accident claim, a = 0.005

Probability of medium risk customer filling a accident claim, b = 0.01

Probability of medium risk customer filling a accident claim, c = 0.025

(a).

⇒Probability that customer filling a claim = a + b + c

= 0.005+0.01+0.025

= 0.04

Therefore, the probability that customer filling a claim is 0.04.

b)

⇒Probability of the customer good risk and filled claim = x * a

= 0.7 * 0.005

= 0.0035

Therefore, the probability that the customer is good risk is 0.0035.

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The cardinal number of the given sets are:

As a general rule, the cardinal number of a set is the number of distinct elements in the set

Using the above definition the cardinal number of the given sets are:

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Answer:

17.32 meters

Step-by-step explanation:

Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.

Using trigonometry, we can calculate that:

tan (60) = H / 10

H = 10 * tan (60)

H = 10 * √3

H = 17.32 m

Therefore, the height of the tower is 17.32 meters.

Let me know if I helped :)

Answer:

Step-by-step explanation:

Question 5:

75% = 3/4

So: 64 / 4 = 16 * 3 = 48

Answer: 48

Question 6:

To get the answer we need to find 1 s'more

So: 4 s'mores: 8:12

1 s'mores: 8/4 : 12/4

1 s'mores : 2:3

15 s'mores: 2*15 : 3*15

15 s'mores: 30:45

Question 7:

Get the denominator to 100 to get the accurate answer

\(\frac{16*4}{25*4} = \frac{64}{100}\)

So it's 64%

Question 4:

We simplify 18/16 into 9/8

And 54/50 into 27/25

Now we divide the 2 fractions

9/8 = 1.125

27/25 = 1.08

So Cheetah A ran faster

( Hardest question in all 4 )

Answer:

2. 46

Step-by-step explanation:

hope it helps..so yeah