Given f(x) = 3x-2 and g(x)=-1/2x3, find the following problems
1. F(5).

2. G(8)

3.f(-8)

4.G(-10)

Answer:

Hey there!

a.

50=28.10+0.15m

Subtract 28.10

21.90=0.15m

Divide by 0.15

m=146

Jacob can send 146 messages.

b.

50=36.50+0.10m

Subtract 36.50

13.5=0.10m

Divide by 0.10

m=135

Roberto can send 135 messages.

Let me know  if this helps :)

Answer:

p = -2/67

Step-by-step explanation:

We divide 67 on both sides.

-2 / 67 = -2/67

67p / 67 = p

We got p = -2/67

Hope this helps.

Answer:

g = 0.83

Step-by-step explanation:

11(15g-13) =-6

165g - 143 = -6

165g = 137

165      165

g = 0.83

The solution of the given equation 11(15g-13) = -6 is g = 0.83

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given equation is,

11(15g-13) = -6

To solve the above equation following steps are taken,

Divide both the side of the equation by 11

11(15g-13)/11 = -6/11

Solving them we get,

15g - 13 = -6/11

Adding 13 both the sides,

15g - 13 + 13 = -6/11 + 13

So we obtain,
15g  = -6/11 + 13

Solving the numbers right hand side,we get

15g = 137/11

Dividing both the sides by 15 we get,

g = 137/165

or, g = 0.83

Hence,The solution of the given equation 11(15g-13) = -6 is g = 0.83

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Answer: x= -2

Step-by-step explanation: 1.) use PEMDAS

2.) distribute the 1 and -1 to (x+4) and (3x+6) --> 1+x+4 = -3x-6+1

3.) Put common terms on the same side (so x's together and the numbers together) so you will add 3 to the right side and add 3x to the left side

4.) that will get you 4x = -8 so then you will divide 4 to both sides to get x by itself

5.) Answer: x=-2

5.)

Answer:

50/50

Step-by-step explanation:

there are only two sides so they both get 50 percent

Answer: 1 in 2 chance

Step-by-step explanation: because there are only 2 sides and can only land on one side

Answer:

Understgand what?

Step-by-step explanation:

Answer:

whats your question?

Step-by-step explanation:

Answer: All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point. So its Rational.

:)

Answer:

17 is an irrational number.

Step-by-step explanation:

17 is a prime number with no factors other than itself and 1 therefore minus square root of 17 is an irrational number.

Answer:

C: -3/7

Step-by-step explanation:

Put an extended line over each direct point you see and then count the graph it takes to reach the nearest point.

Here is a picture to better explain it!

Answer:

  y = 1/2x -4

Step-by-step explanation:

Subtract 1 from both sides of the equation and simplify.

  y = 1/2(x -6) -1

  y = 1/2x -3 -1

  y = 1/2x -4

Answer:

y=1/2x-4

Step-by-step explanation:

y+1=1/2(x-6)

y=1/2(x-6)-1

y=1/2x-6/2-1

y=1/2x-3-1

y=1/2x-4

The car travels 800 miles in 40 gallons if the car can drive 300 miles on a tank of 15 gallons.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

Your car can drive 300 miles on a tank of 15 gallons

300 miles → 15 gallons

Let x be the number of miles or distance a car travel in 40 gallons

x → 40 gallons

300/x = 15/40

x = (300×40)/15

x = 800 miles

Thus, the car travels 800 miles in 40 gallons if the car can drive 300 miles on a tank of 15 gallons.

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Answer:

They picked 126 apples

Step-by-step explanation:

Because 1 large bag holds 14 apples, and 9 large bags were filled, you would need to multiply 14 by 9. 14 multiplied by 9 equals 126

the result of this problem is 1009.479

Answer:

(7,4)

Step-by-step explanation:

The midpoint formula is:

[tex]M=(\frac{x_1+x_1}{2},\frac{y_1+y_2}{2})[/tex]

Let (5,6) be x₁ and y₁ and let's let (9,2) be x₂ and y₂. Thus, the midpoint is:

[tex]M=(\frac{5+9}{2},\frac{6+2}{2})[/tex]

Add:

[tex]M=(\frac{14}{2},\frac{8}{2})[/tex]

Divide by 2:

[tex]M=(7,4)[/tex]

So, our midpoint is (7,4).

And we're done!

Answer:

  A- When they are inverse functions

  C- when they are equal for all values of x

Step-by-step explanation:

The order of function application in a composition can be reversed if ...

_____

In the first case, the composition gives an output equal to its input for the functions in either order.

In the second case, you cannot tell the functions apart, since they produce the same output for the same input. Hence, you can't tell if they are reordered or not.

Answer:

n=8

Step-by-step explanation:

[tex]-8=-16+n\\\\-8+16=-16+16+n\\\\8=0+n\\\\n=8[/tex]

Answer:

Step-by-step explanation:

-8=-16+n            

-8(+16)=-16(+16)+n    get "n" by itself by adding 16 to both sides.

      negative eight plus sixteen is positive eight. on the right side the sixteens cancel eachother out, so you are left with just "n".  

Therefore...,

8=n

Answer:

5 Fahrenheit

Step-by-step explanation:

In the morning, it was 1 below zero. Subtract.

0 - 1 = -1.

Then, it went up 12 degrees.

-1 + 12 = -11.

In the evening, it went down -6.

11 - 6 = 5.

The answer is 5.

this is the answer hope this will help u

Answer:

Coplanar

Step-by-step explanation:

When the base and the height of a triangle are the same. the hypotenuse is that number times sqrt2.

B and C are 7, so a would also be 7

Answer:

240 ft

Step-by-step explanation:

When she stops, her velocity is 0.  The first time that happens is at t = 3 minutes.  Her position at that time is equal to the area under the curve.

You can use area of a trapezoid, or you can split the shape into two triangles and a rectangle.  Watch your units!  Speed is given in ft/s, and time is given in minutes.

Using trapezoid area:

A = ½ (1 min + 3 min) (2 ft/s)

A = ½ (60 s + 180 s) (2 ft/s)

A = 240 ft

Answer:

5+0.10d

Step-by-step explanation:

A five dollar bill is worth $5 and a dime is worth 10 cents, or a tenth of a dollar. To find the value of the money take the sum of the value of the bill and the number of dimes (d) times the value of each dime. You will get $5+0.10d.

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Answer:

The answer is 0

Step-by-step explanation:

It's between -1 and 1 and it's not positive only and it's not negative only

Answer:

Step-by-step explanation:

graph cannot be drawed

Answer:

the greatest common factor is 5^2 * 7^3

(I think!!!)

Answer:

5/4, just sub in x

Step-by-step explanation:

Answer:-3

-3

Step-by-step explanation:

Answer:

The general solution of the equation is y = [tex]\frac{A}{3}e^{3t}[/tex] + 5

Step-by-step explanation:

Since the differential equation is given as y'(t) = 3y -5

The differential equation is re-written as

dy/dt = 3y - 5

separating the variables, we have

dy/(3y - 5) = dt

dy/(3y - 5) = dt

integrating both sides, we have

∫dy/(3y - 5) = ∫dt

∫3dy/[3(3y - 5)] = ∫dt

(1/3)∫3dy/(3y - 5) = ∫dt

(1/3)㏑(3y - 5) = t + C

㏑(3y - 5) = 3t + 3C

taking exponents of both sides, we have

exp[㏑(3y - 5)] = exp(3t + 3C)

3y - 5 = [tex]e^{3t}e^{3C}[/tex]        

3y - 5 = [tex]Ae^{3t}[/tex]                [tex]A = e^{3C}[/tex]

3y = [tex]Ae^{3t}[/tex] + 5    

dividing through by 3, we have

y = [tex]\frac{A}{3}e^{3t}[/tex] + 5

So, the general solution of the equation is y = [tex]\frac{A}{3}e^{3t}[/tex] + 5

Answer:

Step-by-step explanation:

9g - 7g + 18 = 8

2g + 18 = 8

2g = -10

g = -5

Answer:

23

Step-by-step explanation:

9+4x4-2

9+16-2

9+16-2

23

Answer:

23

Step-by-step explanation:

3 ^ 2 = 9

6 - 2 = 4

4 * 4 = 16

16 + 9 = 25

6/3/ = 2

25 - 2 = 23