Can someone help me with the steps to create the formula? It involves quadratics​

The interpretations of the function values are: the cost of buying 0, 10 and 67.5 gallons of paint would be 0, 28.5 and 73.9, respectively

The equation of the function is given as:

f(x) = 9√x

When x = 0, 10 and 67.5, we have:

f(0) = 9√0 = 0

f(10) = 9√10 = 28.5

f(67.5) = 9√67.5 = 73.9

Hence, the interpretations of the function values are:

The cost of buying 0, 10 and 67.5 gallons of paint would be 0, 28.5 and 73.9, respectively

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Answer:

8 cm

Step-by-step explanation:

To find the length of the rectangle's base, form 2 equations using the given information.

Perimeter of rectangle= 2(height +base)

Let the lengths of the height and base of the rectangle be h and b cm respectively.

Perimeter= 80

2(h +b)= 80

h +b= 80 ÷2

h +b= 40 -----(1)

h= 4b -----(2)

Let's solve by substitution!

Substitute (2) into (1):

4b +b= 40

5b= 40

b= 40 ÷5

b= 8

Thus, the length of its base is 8 cm.

Answer:

If you are rounding to the nearest tens the smallest number is 45. If you are rounding to the nearest whole number, the smallest number is 49.5

Answer:

49 and 51

Hope it helps

Answer:

the answer to this question should be 14.85

Answer:

they are exacly the same

Step-by-step explanation:

Answer:

97°

Step-by-step explanation:

Please see attached

Answer:

kinda hard

Step-by-step explanation:

h² = c² + c²

([tex]\sqrt{11}[/tex])² = ([tex]\sqrt{11}[/tex]/2)² + x²

x² = ([tex]\sqrt{11}[/tex])² - ([tex]\sqrt{11}[/tex]/2)²

answer: x = [tex]\sqrt{11}[/tex]  - [tex]\sqrt{11}[/tex]/2

Answer: D (bottom option)

Axis of Symmetry: x = -8

Vertex: (-8, -40)

Y-Intercept: 24

Step-by-step explanation:

Start by putting the equation into vertex form, which you can do by completing the square. This means the equation will in the form [tex]y=a(x-h)^2+k[/tex].

Once you've done that, you'll get [tex]y=(x+8)^2-40[/tex]. This means that h = -8 and k = -40, so the vertex is (-8, -40) because vertex form is (h, k).

The axis of symmetry is x = -8, because the axis of symmetry is x = h.

Answer:

Step-by-step explanation:

We know that:

We don't know:

Let's count up by tenths:

It suddenly stops at 0.8.

Let's count up by hundredths:

It stops at 0.85.

0.85 is your answer.

Answer:

Find the radius.

Step-by-step explanation:

The task is to solve for area of a circle, and you are given the diameter.

The formula for area is :

Area of a circle = π × (radius)²

In this formula, there is only one input value, and that is the radius.

To find the radius, you must know the relation :

Radius x 2 = Diameter

Hence, the radius must be computed first and foremost.

Using the normal distribution, it is found that a weight of 3125 grams would given a newborn a z-score of −0.75.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Researching the problem on the internet, it is found that the mean and the standard deviation for the weight of newborns is given as follows:

[tex]\mu = 3500, \sigma = 500[/tex]

Hence, the weight associated with Z = -0.75 is given by X:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.75 = \frac{X - 3500}{500}[/tex]

X - 3500 = -0.75(500)

X = 3125.

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Answer:

actually its A... i know cause i got it WRONG

Step-by-step explanation:

The gross profit margin for Korey’s Comics given the net sales, gross profit and net income is  76.3%.

Gross profit margin is a profitability ratio. It is used to measure the financial health of a company and used to determine the efficiency with which the firm generates profits.

Gross profit margin = gross profit / net sales

3320 /3320 = 76.3%

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Answer:

(x + 3)^2 + (y - 3)^2 = 5^2

Step-by-step explanation:

They're not really much to show work. Looking at the graph we need to find the origin which is (h  ,k), and the radius.

(h , k) = (-3 , 3)

The radius is r = 5 because counting it from origin to the edge.

Plug that into the formula equation: (x - h)^2 + (y - k)^2 = r^2

(x - (-3))^2 + (y - 3)^2 = 5^2

(x + 3)^2 + (y - 3)^2 = 5^2

Answer:

7 m3

Step-by-step explanation:

Correct

The cement that is needed to build the monument will be 7 m³. Thus, the correct option is B.

The volume of the rectangular prism is calculated as,

V = LWH

V = 4 m x 0.5 m x 4 m

V = 8 m³

The volume of the triangular prism is calculated as,

V = (BHL) / 2

V = (2 m x 1 m x 0.5 m) / 2

V = 0.5 m³

Since there are two triangular prisms, the total volume of both triangular prisms is:

⇒ 2 x 0.5 m³

= 1 m³

The total amount of cement is calculated as,

⇒ (Volume of rectangular prism - Total volume of both triangular prisms)

⇒ (8m³ - 1m³)

⇒ 7 m³

Thus, the correct option is B.

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Answer:

62°

Step-by-step explanation:

We use the fact that the ratio of the sides of the triangle to the angles opposite them is given by the Law of Sines:

"In any triangle, the ratio of a side length to the sine of its opposite angle

is the same for all three sides"

[tex]\frac{a}{sinA} = \frac{b}{sinb} =\frac{c}{sinC}[/tex]

where A is the is the angle opposite side a, B the angle opposite to side b, C is the angle opposite to side c

For the given triangle we get
44/sin90 = 39/sin?

sin90 is 1 so we get 44/1 = 39/sin?

or cross-multiplying,

sin? = 39/44 = 0.886363..

? = sin⁻¹ (0.886363) = 62.42° ≈ 62° answer

Answer:

? ≈ 62°

Step-by-step explanation:

using the sine ratio in the right triangle

sin? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{39}{44}[/tex] , then

? = [tex]sin^{-1}[/tex] ( [tex]\frac{39}{44}[/tex] ) ≈ 62° ( to the nearest degree )

Answer:

the answer is A. 612

Step-by-step explanation:

SA=2(wl+hl+hw)

parenthesis() mean multiply

x means multiply

SA= 2 x width x length + height x length + height x width

Answer: It would be B 10 inches per minute

Step-by-step explanation: Because if it is (Speed=distance/time) that would mean you would divide 50 into 5 which would be 10 50/5 5x10=50

Step-by-step explanation:

1: MD = 17.621

VD = 27.41

2:

60 degrees

3: sinC

The approximate value of log b to the nearest hundredth is 1.23

Given the following logarithmic expressions

loog(5)b and log(9)48

Determine the value of log(9) 48

log(9)48 = 1.762

Equate log(5) b to 1.762 to log(5)b to determine the value of b

log(5)b = 1.762

b = 5^1.762

b = 17.044

log b = log 17.044 = 1.232

Hence the approximate value of log b to the nearest hundredth is 1.23

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Answer:

B =  1.232

Step-by-step explanation:

Just did it

Answer:

$20.13

Step-by-step explanation:

$4.70x3=$14.10+$6.20 = $20.13

Answer:

y=x+4

Step-by-step explanation:

y intercept should be at positive 4 and a straight line going in the positive direction

Answer: C

Step-by-step explanation:

The graph is shifted 4 units left as seen with (x+4) so x = -4.

The graph is reflected over the x axis as seen with -a

The graph is compressed vertically because the functions a value is less than f(x) = [tex]x^2[/tex]

Answer:

D

Step-by-step explanation:

Changes observed :

The correct option is D.

Answer:

g(-2) = 0

g(4) = -4

Step-by-step explanation:

The outputs of each inequality are the numbers directly next to the parentheses. If an "x" value lies within a particular inequality, the values of the function are the corresponding output.

Remember, the "greater than or equal to" sign (≤) indicates that the "x" value can be equal to the number on the left. The "greater than" symbol (<) indicates that the number to the right cannot satisfy the inequality.

x = -2 lies within the inequality -2 ≤ x < 4. All "x" values that fall within this range are g(x) = 0. Therefore, g(-2) = 0.

x = 4 lies within the inequality 4 ≤ x < 10. All "x" values that fall within this range are g(x) = -4. Therefore, g(4) = -4.

The coordinates of point A is: (-2, 5)

The equation of line L, in slope-intercept form, is: y = 1/2x + 2

In slope-intercept form, the equation of a straight line is given as, y = mx + b, where:

The coordinates of point A is: (-2, 5)

Slope (m) of line L = 2/4 = 1/2.

y-intercept (b) = 2

The equation of line L will be:

y = 1/2x + 2.

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Answer:

8$

Step-by-step explanation:

4 students contribute 12$ Each.

So, total amount becomes 12 x 4 = 48$

If two more students contribute it makes a total of 6 students.
so we now divide the 48$ by 6
48/6=8$

Answer:

84/100

Step-by-step explanation:

We know that 100% is a whole, so we can use this as our denominator. If the student only got an 84, this will be our numerator. The numerator is a part of a whole, 84 is a part of 100. Therefore the answer would be 84/100.