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Answer:

g(x) = 3x2

g(x) = 16x

g(x) = 19x

Explanation:

Assuming that you're referring to f(x) = (13)2x, without much context, I'm going to assume that any of the ax + b, are going to be wrong. The the process of elimination, the only ones left are just x and a coefficient.

Hope that helps!

Answer:

48,58

Step-by-step explanation:

Let The speed of the west bound train be x

Let the east bound train be x+10

The speeds can be calculated as follows

2(2x+10)= 232

4x + 40= 232

4x= 232-40

4x= 192

x= 192/4

= 48

Hence the speedof the west bound train is 48

The speed of the east bound train is 48+10

= 58

Answer:

Number of hours she worked so far = 15 hours

Step-by-step explanation:

Total hours scheduled to work this week = 20 hours

Percentage of Hours worked so far = 75%

How many hours has she worked so far this week?

Number of hours she worked so far = 75% of 20 hours

= 75/100 * 20

= 0.75 * 20

= 15

Number of hours she worked so far = 15 hours

Answer:

The total cost of the bananas

Step-by-step explanation:

Answer:

156.25

Step-by-step explanation:

8x2 (2 years) = 16. 2500 / 16 = 156.25

y = -2x + 3

in the equation y = mx + b, the m represents the slope and b represents the y-intercept

remember that slope is rise over run:

   starting from the point (1, 1) you rise 2 up and go over left 1 to reach the second point shown (0, 3).

   add a negative sign to show the negative downward slope, and the m in the equation would be -2

the y-intercept is just where the line hits the y-axis, or when the x in the ordered pair is 0. In this graph, one of the points given is (0, 3) so 3 is the y intercept

just plug all that into y = mx + b

m, the slope, is -2 and b, the y- intercept, is 3.

y = -2x + 3 is your answer

Answer:

The answer is 4.725

Step-by-step explanation:

Answer:

4.725 is the correct answer

Step-by-step explanation:

Answer:

median: 31.5, mode: 46.

Answer:

34 :46

Step-by-step explanation:

Answer:

It should be PT and NO

Hope this helps!

Answer:

B

Step-by-step explanation:

if there was a verticle line, it can pass it

This prism is made up of 4 rectangles and 2 trapezoids.

Find the surface area:

Hence, the total surface area is 226 units.

The bases are the trapezoids on the top and bottom og the prism. So, just subtract.

226 - 50 = 176 units is the lateral surface area.

Step-by-step explanation:

By question ,

=> cot∅ = 2/11

=> cot∅ = 2x/11x = b/p

Pyhthagoras Theorem :-

=> h² = (2x)² + (11x)²

=> h² = 4x² + 121x²

=> h² = 125x²

=> h = √ 25 × 5 x

=> h = 5√5 x

Answer:

Step-by-step explanation:

p, c, a are the ounces of peanuts, cashews, and almonds, respectively.

“There are three times as many ounces of peanuts as of cashews.”

p = 3c

“There are five more ounces of almonds than cashews.”

a = c+5

“The total weight is 20 ounces”

p + c + a = 20

Substitution

(3c) + c + (c+5) = 20

c = 3

p = 3c = 9

Nine ounces of peanuts.

Answer:

47.9 gm

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Total butter took = 54.8 gm

Extra butter quantity = 6.9g

So, we can calculate the exact quantity of butter needed by using following formula,

Exact butter needed = Total butter - Extra butter quantity

By putting the value, we get

Exact butter needed = 54.8 gm - 6.9gm

= 47.9 gm

Hence, he need 47.9gm butter.

Answer:

where is the question

Step-by-step explanation:

Answer:250

Step-by-step explanation:

Answer:

95% off

Step-by-step explanation:

because the percent u times by the actual price is the percent u have off

Answer:

12^5

Step-by-step explanation:

36^5=3^5×x^5

36÷3=12

Answer:

y=4x-14

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(10-2)/(6-4)

m=8/2

m=4

y-y1=m(x-x1)

y-2=4(x-4)

y=4x-16+2

y=4x-14

Answer:

y = (x + 9)² -93

vertex: (-9, -93)

Step-by-step explanation:

x² + 18x = 12

x² + 18x + 81 = 12 + 81

(x+9)² = 93

y = (x + 9)² -93

vertex: (-9, -93)

Answer:

Ds/dt  = 1,25 in/minute

Step-by-step explanation:

s   is side of the cube

V(c) = s³

Differentiation on both sides of the equation with respect to time.

DV(c) / dt  = 2*s* Ds/dt          (1)

In that equation:

s  = 2

DV(c) /dt  = 5

By subtitution in equation (1)

5  = 2*s*Ds/dt

2*2*Ds/dt   = 5  

Ds/dt   = 5/4      Ds/dt  = 1,25 in/minute

The rate of change of the side length of the cube with respect to time, in inches per minute, at the moment when S = 2 inches is [tex]\dfrac{5}{12} \: \rm in^3/min[/tex]

Suppose that a function is defined as;

[tex]y = f(x)[/tex]

Then, suppose that we want to know the instantaneous rate of the growth of the function with respect to the change in x, then its instantaneous rate is given as:

[tex]\dfrac{dy}{dx} = \dfrac{d(f(x))}{dx}[/tex]

Let the rate of change of volume V with respect to time t is given by:

[tex]\dfrac{dV}{dt}[/tex]

And let the rate of change of volume S with respect to time t is given by:

[tex]\dfrac{dS}{dt}[/tex]

The relation between V and S is [tex]V = S^3[/tex]. Using this value, and the chain rule of differentiation, we get:

[tex]\dfrac{dV}{dt} = \dfrac{dS^3}{dt} = 3S^2\dfrac{dS}{dt} = 3S^2\dfrac{dS}{dt}\\\\\dfrac{dS}{dt} = \dfrac{1}{3S^2} \dfrac{dV}{dt}[/tex]

At S = 2, we are given that:  [tex]\dfrac{dV}{dt} = 5 \: \rm in^3/min[/tex]

Putting these values in the equation for rate of S, we get:

[tex]\dfrac{dS}{dt} = \dfrac{1}{3S^2} \dfrac{dV}{dt}\\\\\dfrac{dS}{dt} = \dfrac{1}{3(2)^2}\times 5 = \dfrac{5}{12} \: \rm in^3/min[/tex]

Thus, the rate of change of the side length of the cube with respect to time, in inches per minute, at the moment when S = 2 inches is [tex]\dfrac{5}{12} \: \rm in^3/min[/tex]

Learn more about instantaneous rate of change here:

https://brainly.com/question/4746888

Answer:

x = 5

y = -4/3

Step-by-step explanation:

Solve by elimination by adding the two equations together:

2x + 3y = 6

x - 3y = 9

3y and -3y will cancel out. Then, solve for x:

3x = 15

x = 5

Plug in 5 as x into one of the equations, then solve for x:

x - 3y = 9

5 - 3y = 9

-3y = 4

y = -4/3

So, the answer is x = 5 and y = -4/3

Answer:

Circumference = pi x diameter

220 = pi x

220/3.14 = 70.06 = 70.1

Hope that answers your question

(Attention: the top answer is only valid if the question asks you to use 3.14 as pi, if the question tells you to use the digit Π, then the answer is 70.0)

Step-by-step explanation:

Answer:

1200 square inches

Step-by-step explanation:

First find area of rectangle which is length x width

20 x 30 = 600

then to find area of the two right triangles multiply the legs then divide by 2

20 x 30 = 600

600/2 = 300

since there is 2 multiply 300 by 2

600

then add everything together

600+600 = 1200

We would expect that 4 of the next 9 children to enroll will be elementary school students.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

If 8 out of the last 18 children to enroll at the daycare center were elementary school students,

We can find the fraction of elementary school students in that group by dividing the number of elementary school students by the total number of children:

= 8/18

= 4/9

This means that 4 out of every 9 children enrolled were elementary school students.

If we want to predict how many of the next 9 children to enroll will be elementary school students,

We can use this ratio:

4/9 of 9 children

= (4/9) x 9

= 4

Therefore,

We would expect that 4 of the next 9 children to enroll will be elementary school students.

Learn more about expressions here:

https://brainly.com/question/3118662

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Answer:

Step-by-step explanation:

a:b = 8:5

a = 8x, b= 5x

a+b = 91

13x = 91

x = 7

a=8x = 56

b = 5x = 35

The larger number is 56

Answer:

a) Yes.

Step-by-step explanation:

A function does not have any repeating values for a given x-value. According to the values of the table, there aren't multiple y-values for a given x-value. Therefore, the table represents a function.

Answer:

(x-8) (x+3)

Step-by-step explanation:

Answer:

42.1 cm

Step-by-step explanation:

θ = 265°

Radius (r) = 9.1 cm

Arc length of major arc GH = θ/360 × 2πr

Plug in the values into the equation

Length of arc GH = 265/360 × 2 × π × 9.1

= 42.0886149

= 42.1 cm (nearest tenth)