I have a question that has already been answered. I just need someone to please explain the steps.

Find the coordinates of the minimum point of the function- f(x) = x^2 + 4x - 5.

Solution-

We need to express x^2 + 4 - 5 in the form (x+h)^2 + k.

Let x^2 - 4x = (x - 2)^2 - 4 (Where did the -4 come from?)

x^2 + 4x - 5 = [ (x - 2)^2 - 4] - 5
= (x - 2)^2 - 9

All I wanna know is where the -4 came from. what rule must be applied. ​

Answer:

0

Step-by-step explanation:

there is only blue marbles, yellow marbles, and red marbles. there are no purple marbles so you’d be unable to pull out a purple one no matter how many times you tried. so the probability would be 0

Answer:

40 degrees

Step-by-step explanation:

Since we have the diameter included in the triangle, the angle at B is 90

This is because angle at center is two times the angle at the circumference

Since we have the diameter, the angle at the center will be 180 degrees so the angle A at the circumference will be 90 degrees

Now, let us use the measure of the arc given

The angle at C is half of 100 which makes it 50

This is according to an angle arc relationship

Lastly, the sum of angles in a triangle is 180 degrees

We already have two angles and we need the last

so we have to add what we have already and subtract from 180 to get the angle we are looking for

So we have the angle as 180-(90 + 50) = 180 -140 = 40

Answer:

120

Step-by-step explanation:

20 * 5 = 100 so we multiply 24 by 5 and that equals 120

Answer:

$103

Step-by-step explanation:

Your living room is carpeted but you have allergies, and need to cover the 9 points floor with hardwood panel flooring. The panel flooring at Lowes cost $3.19 per square foot. (scale: 1m = 3.28 ft) Hint: Each unit contains 32.29 square feet. How much will it cost to purchase the flooring panels? (round to the nearest cent)

From the above question:

1 square foot = $3.19

32.29 square feet = x

Cross Mulitiply

x = 32.29 × $3.19

x = $103.0051

Approximately to the nearest cent = $103

Therefore, it will cost $103 to purchase the flooring panels

Answer:

904.32 ft^3

Step-by-step explanation:

Volume of a sphere = 4/3 x pi x r^3

r = 12/2 = 6

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

4/3 x 3.14 x 6^3 = 904.32 ft^3

Answer:

1 3 7 15 31

Step-by-step explanation:

i used a calculator.       Calculator Soup® is a good website for calculating stuff

Answer:

4 in 5 days

Step-by-step explanation:

Answer:

3rd one

Step-by-step explanation:

The correct graph which shows the line that best fits the data points given is shown in Option 3.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

To find correct graph which shows the line that best fits the data points.

Now, We know that;

The correct graph of line for the data points is contain almost every points.

Hence, We get;

The correct graph which shows the line that best fits the data points given is shown in Option 3.

Thus, The correct graph which shows the line that best fits the data points given is shown in Option 3.

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--4 cot (--45)

cos (390)

sin (330)

Answer:

an = 10(3^n-1)

Step-by-step explanation:

The explicit formula of a geometric sequence is written as:

an = ar^n - 1

Where

an = nth term

a = First term

r = common ratio

n = number of terms

Hence, an explicit formula to represent the geometric sequence with a first term of 10 and a common ratio of 3 is written as:

an = 10 × 3^n-1

an = 10(3^n-1)

Answer:

d

Step-by-step explanation:

Answer:(-y/(1/2)) -x/(1/2)=1

Step-by-step explanation:

The coordinates of the focus of the parabola are (2, -1.9375)

The equation of the parabola is given as:

[tex]y = \frac 14x^2 - x - 1[/tex]

Express as a vertex form

[tex]y = \frac 14(x - 2)^2 - 2[/tex]

The focus of a quadratic function of the form [tex]y = a(x - h)^2 + k[/tex] is

Focus = (h, k + 1/4 a)

By comparing [tex]y = a(x - h)^2 + k[/tex] and [tex]y = \frac 14(x - 2)^2 - 2[/tex], we have:

a = 1/4

h = 2

k = -2

So, we have:

Focus = (2, -2 + 1/4 * 1/4)

Evaluate

Focus = (2, -1.9375)

Hence, the coordinates of the focus of the parabola are (2, -1.9375)

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Answer and Step-by-step explanation:

Solve for D.

Subtract 1 from both sides of the equation.

22 - 1 = -3d + 1 - 1

21 = -3d

Divide both sides by -3.

21 ÷ -3 = -3d ÷ -3

-7 = d

d is equal to -7.

#teamtrees #PAW (Plant And Water)

Answer:

Invalid

Step-by-step explanation:

Answer:

Invalid

Step-by-step explanation:

You can live in Florida outside of Miami.

Answer:

The answer is 1/13

Step-by-step explanation:

42÷(13×6×7)

= 42÷546

= 1/13

Answer:

D at 8.8

im not sure brainliest please ok

Answer:

The answer is C at 8.1.

Step-by-step explanation:

To find [tex]\sqrt{66}[/tex], start by finding the two consecutive perfect squares that 66 lies between them. The two perfect squares are 64 ([tex]8^{2}[/tex]) and 81 ([tex]9^{2}[/tex]). So, the whole number part of the square root of 66 will be 8.

Now, for the decimal part, use the following formula:

(Given number - Smaller perfect square) / (Greater perfect square - Smaller perfect square)

Then, put in the known information, which will look like:

(66 - 64)/(81 - 64) = 2/17 = 0.117

Finally, [tex]\sqrt{66}[/tex] is 8.117, so the answer is C at 8.1.

Given:

An exponential function goes through points (0,12) and (3,6144).

To find:

The exponential function.

Solution:

The general exponential function is:

[tex]y=ab^x[/tex]           ...(i)

The function goes through point (0,12). Substituting [tex]x=0,y=12[/tex], we get

[tex]12=ab^0[/tex]

[tex]12=a[/tex]

The function goes through point (3,6144). Substituting [tex]a=12, x=3,y=6144[/tex] in the general exponential function, we get

[tex]6144=12b^3[/tex]

[tex]\dfrac{6144}{12}=b^3[/tex]

[tex]512=b^3[/tex]

[tex]512^{\frac{1}{3}}=b[/tex]

[tex]8=b[/tex]

Putting [tex]a=12,b=8[/tex] in (i), we get

[tex]y=12(8)^x[/tex]

Therefore, the required exponential function is [tex]y=12(8)^x[/tex].

Answer:

2/45

Step-by-step explanation:

We are told that:

A jar contains 2 orange, 4 green, 2 white and 2 black balls.

The total number of balls in the jar is calculated as:

2 orange balls + 4 green balls + 2 white balls + 2 black balls = 10 balls

The probability of drawing an orange ball = P(Orange) = 2/10

The probability of drawing a black ball = P(Black) = 2/10

Therefore, the probability of drawing an orange ball without putting it back, then drawing a black ball is calculated as:

2/10 × 2/9 = 4/90

= 2/45

Answer:

A

Step-by-step explanation:

In a box plot, interquartile range (IQR) can be used to describe the spread of any given data.

IQR = Q3 - Q1

✔️IQR for Town A:

Q3 = 40

Q1 = 20

IQR = 40 - 20 = 20°

✔️IQR for Town B:

Q3 = 30

Q1 = 20

IQR = 30 - 20 = 10°

We can conclude that the IQR for town A, 20°, is greater than the IQR for town B, 10°.

Answer:

(z - 4) (x - 9)

− 4 x  +  z  − 9

(k + 6) (k - 7)

k^2 - k - 42

(y - 5) (y + 5)

y^2 - 25

Answer:

16.7%

Step-by-step explanation:

Probability is defined by the formula: the number of desirable outcomes over the total outcomes. The total number of outcomes is the sum of all shoes that he could possibly pick:

5 + 7 + 1 + 4 + 6 + 8 + 2 + 3 = 36

And the desirable outcomes are those where he picks brown boots, which is 6 outcomes.

Using the formula for probability, we get the expression: 6/36 to represent the probability. It simplifies to 1/6 which is about 16.7%

Answer:

2 Transformations

Step-by-step explanation:

A reflection in the x axis accounts for the minus sign and because there's a 3 there, it is a stretch in the y direction scale factor 3. hope this helps :)

Answer:

11, 17, 29, 65

Step-by-step explanation:

Rrplace x with values on the x colon

Answer:

Column 1 (When x = 1): y = 11

Colum 2(When x = 2): y = 17

Column 3(When x = 4): y = 29

Colum 4(When x= 10): y = 65

Step-by-step explanation:

When x = 1; y = 6(1) + 5

              => y = 6 + 5

             => y = 11

When x = 2; y = 6(2) + 5

               => y = 12 + 5

              => y = 17

When x = 4;  y =  6(4) + 5

                => y = 24 + 5

                => y = 29

When x = 10; y = 6(10) + 5

                => y = 60 + 5

                => y = 65

Hope this helps!

Answer:

1 4/5

Step-by-step explanation:

Convert 1/2  to tenths.  1/2 = 5/10  which reduces back to 1/2

borrow 1 from the 6 to make 5/10 greater than 7/10

5/10 + 10/10 = 15/10

The 6 1/2  has become 5 and 15/10

5 15/10      Subtract 4 7/10

4  7/10              

1  8/10       Reduce the fraction by dividing top and bottom by 2

1 4/5    

Also possible is

6.5  

4.7          Subtract

1.8

Answer:

$353.75

0.05x + 300

Step-by-step explanation:

1075 x 0.05 = 53.75 + 300 = 353.75

0.05x + 300

Answer:

35°, 70°, 75°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

x + 2x + 75 = 180

3x + 75 = 180 ( subtract 75 from both sides )

3x = 105 ( divide both sides by 3 )

x = 35

2x = 2 × 35 = 70°

The angles in the Δ are 35°, 70°, 75°

The three angles of the triangle are 75°, 70° and 35°.

Step-by-step explanation:

We know that,

Sum of angles of a triangle = 180°

⇢ 75° + 2 x + x = 180°

⇢ 3x = 180° - 75°

⇢ 3x = 105°

⇢ x = [tex] \frac{105}{3} [/tex]

⇢ x = 35°

[tex]{\boxed{\mathcal{\red{Brainly\:Star.}}}}[/tex]

Answer: 52

Step-by-step explanation:

Divide 156 by 3, you get 52 with a remainder of 0.

In long division, you would write it as:

To perform the division, start by dividing 3 into the first digit of 156, which is 1.

  3 ) 156 ( 52

     - 15

   _______

          6

         -6

     _______

           0

3 cannot go into 1, so you move to the next digit, 15. 3 can go into 15 five times (3 * 5 = 15). After subtracting 15 from 15, you have 0.

Now, you bring down the last digit, 6, to form 6. Since 3 can go into 6 two times (3 * 2 = 6), the final quotient is 52, and the remainder is 0.

In summary, 156 divided by 3 is equal to 52, with no remaining or fractional parts.

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Answer:

16

Step-by-step explanation:

4 + (4 * 2) + [tex]2^{2}[/tex] = y

16 = y

Answer:

x=2,y=16

Step-by-step explanation:

4+4(2)+2^2=y      Put the x value where it belongs

4+8+2^2=y             Now do 2*2 (two to the power of two)

4+8+4=16

16=16

Answer:

The Median is 0.5

Step-by-step explanation: